Slide 1

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 2

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 3

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 4

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 5

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 6

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 7

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 8

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 9

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 10

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 11

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 12

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 13

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 14

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 15

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 16

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 17

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 18

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 19

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 20

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 21

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 22

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 23

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 24

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 25

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 26

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 27

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 28

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 29

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.


Slide 30

Algebraic Rules
Please view this tutorial and answer the
follow-up questions on loose leaf to
turn in to your teacher.

Algebraic Rules Basics
• Algebraic rules are equations that use
variables to model different situations.
• There will be two variables in these equations;
one representing the x information and the
other representing the y information

How to Make an Algebraic Rule
First you need to figure out what the
variables are in your situation.
Then you need to find letters to represent
these variables.

How to Make an Algebraic Rule
Let’s take a look at
this example
problem.
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
What
the two
The variables are
theare
number
of people on the
variables
in thisof stops.
bus and
the number
problem?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people
on theofbus
number
after each number of stops.number of stops
people

How to Make an Algebraic Rule
Now that we know what the variables are, we
can assign letters to represent them.
P = Number of people on the bus
N = Number of stops
Now think about the
important
information in your
problem.

How to Make an Algebraic Rule
How many people are
initially on the bus?

The bus driver starts as
the only one on the bus
so our starting value is
1.

A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students at each stop. Write a rule to
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
How does the
At each stop the number
number of people on
of people on the bus
the bus change at
increases by 4.
each stop?
A bus driver is driving a school bus. He leaves
the bus depot and goes on his route. He picks
up four students
at four
eachstudents
stop. Write a rule to
picks up
determine the number of people on the bus
after each number of stops.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

What can we
control in this
situation? The
number of stops or
the number of
people on the bus?

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

We can control the
number of stops so
that means N is our
independent
variable. We can
use this value to
find P, the number
of people on the
bus.

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Your rule will start
with your
dependent variable
then an equal sign.

P=

How to Make an Algebraic Rule
So, here is what
we know:

Then you’ll add
your starting point.

P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

P=1

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

Finally, you’ll add
an expression for
how your values
are changing.

P = 1 + 4N

How to Make an Algebraic Rule
So, here is what
we know:
P = Number of people on
the bus
N = Number of stops
Starting Value: 1
Change: Increase by 4
students per stop

You’re increasing
the number of
people by 4 per
stop so you
multiply 4 by N.

P = 1 + 4N

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Hit Y= then enter
your equation.
You’ll need to
replace your
independent
variable, N, with X.

Rules, Tables, and Graphs
Now that we have our rule, we can use it to
make tables and graphs.

Your rule should
look like this.

Rules, Tables, and Graphs
Once the rule is in Y=, we can easily make
tables and graphs.

To make a table,
click the 2nd Key
then WINDOW

Rules, Tables, and Graphs
You’ll come to this screen.
TblStart will be the x
value that your
table will start at.
ΔTbl will be the
value that the x
column will count
by in your table.

Rules, Tables, and Graphs
Next, you’ll need to make the table.
Hit 2nd then GRAPH.

Rules, Tables, and Graphs
Your table will come up on your screen.

Now you can scroll
down the table to
find exact values for
x and y.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific x value, go back
Let’s say you want to
to TBLSET (2nd WINDOW) know how many people
then change your
will be on the bus after
TblStart to the value you
15 stops.
are looking for.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
Go to 2nd WINDOW then
change your TblStart to
15.

Then go to 2nd GRAPH to
look for your answer in
the table.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When X = 15, Y = 61 so
after 15 stops there will
be 61 people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you’re looking for a
specific y value, you’ll
need to scroll down in
the y column of your
table to find that value.

Suppose you want
to know how many
stops it will take
until there are 25
people on the bus.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

Scroll down in your y
column until you see the
number 25.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.

When y = 25, x = 6 so
there will be 25 people
on the bus after 6 stops.

Rules, Tables, and Graphs
Sometimes you’ll be looking for a specific
value.
If you can’t find the value
you are looking for, find
the closest value to it
then change your ΔTbl to
a smaller number.

Rules, Tables, and Graphs
Your x values will now count by .1 since you
changed ΔTbl.

Follow-Up Questions

Answer the following questions on loose leaf
and hand them in to your teacher.

On a plane, there are eighty-three rows that hold six people each.
When the plane lands, the flight attendants dismiss passengers in
groups of 18 people.

1.Assuming the flight was filled to capacity (meaning it was sold out),
how many passengers would there be on the plane.
2.Write an algebraic rule to find the amount of passengers that still
need to get off the plane in terms of groups.
3.Using your calculator, make a table for the number of passengers left
on the plane for the first ten groups. (Start at 0)
4.How many people still need to get off the plane after 18 groups are
dismissed?
5.How many groups do they have to dismiss in order for everyone to
get off the plane. Explain how you got your answer.