Transcript 9-9 PPT

5 Minute Check
Simplify by dividing by the GCF. Complete in your notebook.
6
1. 16
2.
45
63
3.
90
120
4.
6
24
5 Minute Check
Simplify by dividing by the GCF. Complete in your notebook.
6
6 ÷ 2
3
1. 16
16 ÷ 2
8
=
2.
45
63
3.
90
120
4.
6
24
5 Minute Check
Simplify dividing by the GCF. Complete in your notebook.
6
6 ÷ 2
3
1. 16
16 ÷ 2
8
=
2.
45
63
3.
90
120
4.
6
24
45 ÷ 9
63 ÷ 9
=
5
7
5 Minute Check
Simplify dividing by the GCF. Complete in your notebook.
6
6 ÷ 2
3
1. 16
16 ÷ 2
8
=
2.
45
63
45 ÷ 9
63 ÷ 9
3.
90
120
90 ÷ 30
120 ÷ 30
4.
6
24
=
5
7
=
3
4
5 Minute Check
Simplify dividing by the GCF. Complete in your notebook.
6
6 ÷ 2
3
1. 16
16 ÷ 2
8
=
2.
45
63
45 ÷ 9
63 ÷ 9
3.
90
120
90 ÷ 30
120 ÷ 30
=
4.
6
24
6 ÷6
24 ÷ 6
1
4
=
=
5
7
3
4
Monday, Sept 9
Lesson 1.3
Unit Rates
Unit Rates
Unit Rates
Is 40 miles in 4 hours a ratio?
Unit Rates
Is 40 miles in 4 hours a ratio?
Yes, it compares two quantities.
Unit Rates
How can you write 40 miles in 4 hours as a
ratio?
Unit Rates
How can you write 40 miles in 4 hours as a
ratio?
40 miles
4 hours
40 miles: 4 hours
40 miles in 4 hours
Unit Rates
How is
as
2
5
?
40 miles
4 hours
different from a ratio such
Unit Rates
How is
as
2
5
40 miles
4 hours
?
40 miles
4 hours
different from a ratio such
compares two different types of units.
Unit Rates
What does 40 miles in 4 hours mean?
Unit Rates
What does 40 miles in 4 hours mean?
It means you will travel 40 miles every 4 hours.
Unit Rates
A rate is a ratio (fraction) comparing
quantities of different kinds of units.
Example s
15 dollars
3 pounds
40 miles
4 hours
120 students
3 buses
Unit Rates
A unit rate is a rate with a denominator of 1
when the rate is written as a fraction. To
determine the unit rate, divide the fraction
by the number in the denominator.
Examples5 dollars
1 pound
10 miles
1 hour
40 students
1 bus
Unit Rates
Samantha picked 45 oranges in 5 minutes.
How many oranges did she pick per minute
(unit rate).
How to find a unit rate.
Step 1 – Find the rate (fraction).
Unit Rates
Samantha picked 45 oranges in 5 minutes.
How many oranges did she pick per minute
(unit rate).
Step 1 – Find the rate (fraction).
45 oranges
5 minutes
Write this down
Unit Rates
Samantha picked 45 oranges in 5 minutes.
How many oranges did she pick per minute
(unit rate).
Step 2 – Divide the fraction by the number in
the denominator.
45 oranges
5 minutes
Unit Rates
Samantha picked 45 oranges in 5 minutes.
How many oranges did she pick per minute
(unit rate).
Step 2 – Divide the fraction by the number in
the denominator.
45 oranges ÷ 5
5 minutes ÷ 5
=
Unit Rates
Samantha picked 45 oranges in 5 minutes. How
many oranges did she pick per minute (unit rate).
Step 2 – Divide the fraction by the number in the
denominator.
45 oranges ÷ 5
5 minutes ÷ 5
=
9 oranges
1 minute
Samantha picked 9 oranges per minute.
Unit Rates
Four potted plants cost $24. What is the
price per plant (unit price)?
Step 1?
Unit Rates
Four potted plants cost $24. What is the
price per plant (unit price)?
Step 1?
24 dollars
4 plants
How do we know to put the “plant” unit in the
denominator?
Unit Rates
Four potted plants cost $24. What is the
price per plant (unit price)?
Step 1?
24 dollars
4 plants
Because we are looking for the “price per
plant”.
Unit Rates
Four potted plants cost $24. What is the
price per plant (unit price)?
Step 2?
24 dollars
4 plants
Unit Rates
Four potted plants cost $24. What is the
price per plant (unit price)?
24 dollars ÷ 4
4 plants ÷ 4
=
Unit Rates
Four potted plants cost $24. What is the
price per plant (unit price)?
24 dollars ÷ 4
4 plants ÷ 4
=
6 dollars per plant.
6 dollars
1 plant
Unit Rates
David earned $28 last night working 4 hours.
How much did he earn per hour?
What is the rate (fraction)?
Unit Rates
David earned $28 last night working 4 hours.
How much did he earn per hour?
28 dollars
4 hours
Complete the question.
Unit Rates
David earned $28 last night working 4 hours.
How much did he earn per hour?
28 dollars ÷ 4 7 dollars
4 hours ÷ 4 = 1 hours
David earned 7 dollars per hour.
Unit Rates
You walked 15 miles in 2 hours last night.
How many miles per hour did you walk?
What is the rate (fraction)?
Unit Rates
You walked 15 miles in 2 hours last night.
How many miles per hour did you walk?
15 miles
2 hours
Complete the question.
Unit Rates
You walked 15 miles in 2 hours last night.
How many miles per hour did you walk?
15 miles ÷ 2 7.5 miles
2 hours ÷ 2 = 1 hours
You walked 7.5 miles per hour.
Unit Rates
Tom sold 12 books for $9. How much did he
make per book?
What is the rate (fraction)?
Unit Rates
Tom sold 12 books for $9. How much did he
make per book?
9 dollars
12 books
Complete the question.
Unit Rates
Tom sold 12 books for $9. How much did he
make per book?
9 dollars ÷ 12
12 books ÷ 12
=
.75 dollar
1 book
He made .75 dollars per book,
75 cents per book.
Unit Rates
The Australian dragonfly can travel 18 miles
in 30 minutes. How far can it travel in 1
minute?
What is the rate (fraction)?
Unit Rates
The Australian dragonfly can travel 18 miles
in 30 minutes. How far can it travel in 1
minute?
18 miles
30 minutes
Complete the question. Use a calculator if
needed.
Unit Rates
The Australian dragonfly can travel 18 miles
in 30 minutes. How far can it travel in 1
minute?
18 ÷ 30 miles
1 minute
=
0.6 miles
1 minute
0.6 miles per minute
=
Unit Rates
The Australian dragonfly can travel 18 miles
in 30 minutes. How far can it travel in 1
minute?
18 ÷ 30 miles
1 minute
3
5
=
miles per minute
18
30 miles per minute =
Unit Rates
Anna downloaded 35 songs in 5 minutes.
How many songs does she download per
minute?
(Do this on your own)
Unit Rates
Anna downloaded 35 songs in 5 minutes.
How many songs does she download per
minute?
35 songs ÷ 5
5 minutes ÷ 5
=
7 songs
1 minute
How many songs can she download in 8
minutes?
Unit Rates
Anna downloaded 35 songs in 5 minutes.
How many songs does she download per
minute?
How many songs can she download in 8
minutes?
7 songs
1 minute
X
8 minutes
=
56 songs
Unit Rates
Molly shot 20 baskets in 4 minutes. Nino shot 42 baskets
in 6 minutes. Who shot the most baskets per minute?
(Do this on your own)
Unit Rates
Molly shot 20 baskets in 4 minutes. Nino shot 42 baskets
in 6 minutes. Who shot the most baskets per minute?
Molly
Nino
20 baskets ÷ 4
4 minutes ÷ 4
42 baskets ÷ 6
6 minutes ÷ 6
5 baskets
1 minute
7 baskets
1 minute
5 baskets per minute
7 baskets per minute
Unit Rates
Marcella divided 40.8 gallons of paint among 8 containers.
How much paint is in each container? Use a calculator if
needed.
(Do this on your own)
Unit Rates
Marcella divided 40.8 gallons of paint among 8 containers.
How much paint is in each container? Use a calculator if
needed.
40.8 gallons ÷ 8
8 containers ÷ 8
=
5.1 gallons
1 container
5.1 gallons per container
Unit Rates
The results of a car race is shown. Determine who drove
the fastest lap. Use calculator
if needed.
(Do this on your own)
Unit Rates
The results of a car race is shown. Determine who drove
the fastest lap. Use calculator
if needed.
Cutwright
Evans
Loza
84 minutes ÷ 35
35 laps ÷ 35
96.6 minutes ÷ 42
42 laps ÷ 42
102.6 minutes ÷ 38
38 laps ÷ 38
=
2.4 minutes per lap
=
2.3 minutes per lap
=
2.7 minutes per lap
Unit Rate
Agenda Notes
Homework –
Lesson 1-3 Homework Practice
Due Tuesday, Sept 10
Mid-Chapter Quiz on
Thursday, Sept 12
Please Review Mid-Chapter Check on Page 58