Transcript Patterns in Mathematics

PATTERNS IN MATHEMATICS
SKIP COUNTING


Skip Count by 3, 4,
6 and 8
What patterns do
you notice?
ELEMENT



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An element is a
member of a set
Patterns are ordered
sets of numbers, shapes,
or other mathematical
objects arranged
according to a rule
PATTERN RULE
What are the next 3 elements in each pattern?

85, 80, 75 …

77, 65, 53…

6, 12, 24…

8, 15, 22…
What are their pattern rules?
CONSTRUCTING STAIRS
Be aware of
the blocks
used to
build the
structure!
ADD, SUBTRACT, MULTIPLY AND DIVIDE
The four
basic
operations
in math used
to solve
problems
•Add
•Subtract
•Multiply
•Divide
SUM AND DIFFERENCE
When you add two or more numbers together, your
answer is called the sum
3+3=6
When you subtract two or more numbers, your
answer is called the difference
6–3=3
PRODUCT AND QUOTIENT
What do you get when you multiply two or more
numbers?
When you divide two or more numbers, your
answered is called…
T-CHART
Complete the following table to predict the
number of students who will attend the school in
2015-2016 if the population of students continue
to decline.
JOURNAL ENTRY
The diagram below shows a series of triangles built
using toothpicks.
Continue the pattern for the next 3 triangles and
explain how the pattern grows. Create a chart to
show how many toothpicks will be used for each
picture.
Height (cm)
1
20
2
40
3
60
4
100
5
120
What is a table?
A table is
mathematical
information
organized into
columns and
rows.
PLANT GROWTH
Week
Jim was
conducting
a science
experiment
on plant
growth.
The growth
occurred
based on a
pattern.
After each
week, he
recorded
the height
of his plant
in a table.
ALGEBRAIC EQUATIONS AND EXPRESSIONS
Algebraic Equations
Mathematical
Statement containing
an equals sign, to
show that two
expressions are equal.
+ 4= 10
Algebraic Expressions
One or a group of
mathematical symbols
representing a number
or quantity. An
expression may include
numbers and/or
variables.
+4
VARIABLES AND COEFFICIENTS
Variable
 A letter or symbol
representing a
varying quantity
Coefficient
 A number which
multiplies in a
variable
n is the variable in
6+n
6 is the coefficient in
6+n
.
EQUATION MATCH GAME
15 – s = 9
The algebraic
equation 15 – s = 9
matches with the 6
card because s = 6.
 You can answer this
question by turning
the equation around
and making it
15 – 9 = s

6
PAN BALANCE
Explain how you would solve this equation using a pan balance.
Use pictures, numbers and words to explain.
21 + y = 40
CENTERS – DAY 1
Group 1 – Details Car Wash
•Rachel
Group 4 – The Counter Mystery
•Ashley
•Destiny
•Brittney
•Janae
•Alyssa
Group 2 – Maps
•Vinson
•Ryan
•Nick
•Elyse
•Ian
•Jody
Group 3 – M & M Mystery
•Ethan
•Jenna
•Ronan
•Brooklyn
•Bradley
•Eric
Group 5 - Patterns in Math
•Heidi
•Abby
•Andrew
•Tyler
CENTERS – DAY 2
Group 1 – Details Car Wash
•Heidi
Group 4 – The Counter Mystery
•Abby
•Ethan
•Andrew
•Jenna
•Tyler
•Ronan
•Brooklyn
Group 2 – Maps
•Rachel
Group 5 - Patterns in Math
•Ashley
•Destiny
•Brittney
•Janae
•Alyssa
•Bradley
•Eric
Group 3 – M & M Mystery
•Vinson
•Ryan
•Nick
•Elyse
•Ian
•Jody
CENTERS – DAY 3
Group 1 – Details Car Wash
•Destiny
Group 4 – The Counter Mystery
•Janae
•Vinson
•Bradley
•Ryan
•Eric
•Nick
Group 2 – Maps
•Heidi
•Abby
•Andrew
•Tyler
Group 3 – M & M Mystery
•Rachel
•Ashley
•Brittney
•Alyssa
•Elyse
•Ian
•Jody
Group 5 - Patterns in Math
•Ethan
•Jenna
•Ronan
•Brooklyn
CENTERS – DAY 4
Group 1 – Details Car Wash
•Ethan
•Jenna
Group 4 – The Counter Mystery
•Ronan
•Rachel
•Brooklyn
•Ashley
•Brittney
•Alyssa
Group 2 – Maps
•Destiny
Group 5 - Patterns in Math
•Janae
•Vinson
•Bradley
•Ryan
•Eric
•Nick
Group 3 – M & M Mystery
•Elyse
•Heidi
•Ian
•Abby
•Jody
•Andrew
•Tyler
CENTERS – DAY 5
Group 1 – Details Car Wash
•Vinson
•Ryan
Group 4 – The Counter Mystery
•Nick
•Heidi
•Elyse
•Abby
•Ian
•Andrew
•Jody
•Tyler
Group 2 – Maps
•Ethan
•Jenna
•Ronan
•Brooklyn
Group 3 – M & M Mystery
•Destiny
•Janae
•Bradley
•Eric
Group 5 - Patterns in Math
•Rachel
•Ashley
•Brittney
•Alyssa
PASCAL’S TRIANGLE
Each number in
a row is the sum
of the two
numbers
directly above
it. Create the
next two rows.
Then, determine
the sum of each
row and list
them as a
sequence of
numbers.
Determine the
pattern of the
sums.
PROBLEM SOLVING
Maya watched 14
vehicles go by her
house. She noticed that
every third vehicle was a
truck and every fifth
vehicle was a motorcycle.
The rest were cars. Write
a pattern for the vehicles.
Of the 14 vehicles, how
many were cars and how
many were trucks?