1. Rates and Unit Rates
Determine the rate for ratios of quantities with different units
Use reasoning about multiplication and division to solve ratio and rate problems

2. I can… Write rates Write equivalent rates Calculate unit rates
Self Assessment
5- I can do it without help & teach others.
4- I can do this with no help, but I don’t know if I can explain it.
3- I can do this with a little help.
2- I can do this with a lot of help!
1- I don’t have a clue.

3. RATIO REVIEW A ratio makes a comparison. There
are 3 green aliens and 4 purple
aliens. The ratio of
green aliens to
purple aliens is
3 to 4.

4. RATIOS A ratio makes a comparison. Ratios
can be written in three different
ways.
3 to 4
3:4

5. RATES A rate is a ratio that compares quantities that
are measured in different units.
This spaceship travels at a certain speed.
Speed is an example of a rate.
Speed can be measured in many different ways.
This spaceship can travel 100 miles in 5 seconds.
100 miles in 5 seconds is a rate.

6. RATES Rates are often written in fraction form.
A rate is a ratio that compares quantities that
are measured in different units.
Rates are often written in fraction form.
100 miles in 5 seconds is a rate.
It can be written as…..
Miles
Seconds

7. RATES A rate is a ratio that compares quantities that
are measured in different units.
One key word that often identifies a rate is PER.
Miles per gallon, Points per free throw,
Dollars per pizza, Sticks of gum per pack

8. UNIT RATES = Most of the time when we work with rates we
use a unit rate. A unit rate compares a quantity
to one unit of another quantity.
This alien can walk at a rate of
10 miles in 2 hours. His speed is a
unit rate of 5 miles per 1 hour or
simply 5 miles per hour.
Miles
Hours
Hour =

9. 2 people riders per dog rider
UNIT RATES
A unit rate compares a quantity to one unit of another quantity. These are all examples of unit rates.
6 tentacles per head
1 tail per body
2 eyes per alien
1 foot per leg
3 windows per spaceship
3 riders per spaceship
2 people riders per dog rider

10. EQUIVALENT RATES
The International Space Station orbits Earth at an average rate of 15 miles every 3 seconds. How long will it take the space station to travel 150 miles?
x 10
x 10

11. EQUIVALENT RATES
The International Space Station orbits Earth at an average rate of 15 miles every 3 seconds. How long will it take the space station to travel 150 miles?
x 10
x 10

12. UNIT RATES
÷ 3
÷ 3

13. UNIT RATES
÷ 3
÷ 3
5 miles per second

14. YOUR TURN
Water is filling a storage tank at an average rate of 25 gallons in 5 minutes. Write this as a unit rate.
÷ 5
÷ 5

15. 5 gallons per minute YOUR TURN ÷ 5 ÷ 5
Water is filling a storage tank at an average rate of 25 gallons in 5 minutes. Write this as a unit rate.
÷ 5
÷ 5
5 gallons per minute

16. USING UNIT RATES
There are 5.54 centimeters in 1 inch. How many centimeters are in 3 inches?
x 3
x 3

17. There are 7.62 cm in 3 inches. USING UNIT RATES x 3 x 3
There are 2.54 centimeters in 1 inch. How many centimeters are in 3 inches?
x 3
x 3
There are 7.62 cm in 3 inches.

18. YOUR TURN
There are centimeters in a foot. How many centimeters are in 5 feet?
x 5
x 5

19. There are 152.4 cm in 5feet. YOUR TURN x 5 x 5
There are centimeters in a foot. How many centimeters are in 5 feet?
x 5
x 5
There are cm in 5feet.

20. COMPARING UNIT RATES ÷ 4 ÷ 4 ÷ 3 ÷ 3
A 12 ounce tub of popcorn costs $3.00. A 20 ounce tub of popcorn costs $4.00. Which tub is the better buy?
We need to find
the UNIT RATE
of each
÷ 4
÷ 4
÷ 3
÷ 3

21. COMPARING UNIT RATES ÷ 4 ÷ 4 ÷ 3 ÷ 3
A 12 ounce tub of popcorn costs $3.00. A 20 ounce tub of popcorn costs $4.00. Which tub is the better buy?
÷ 4
÷ 4
÷ 3
÷ 3

22. 20 oz. tub COMPARING UNIT RATES ÷ 4 ÷ 4 ÷ 3 ÷ 3
A 12 ounce tub of popcorn costs $3.00. A 20 ounce tub of popcorn costs $4.00. Which tub is the better buy?
20 oz. tub
÷ 4
÷ 4
÷ 3
÷ 3

23. YOUR TURN
A 3 ounce tube of toothpaste costs $0.75. A 15 ounce tube of toothpaste costs $6.00. Which tube is the better buy?
÷ 15
÷ 15
÷ 3
We need to find
the UNIT RATE
of each
÷ 3

24. YOUR TURN
A 3 ounce tube of toothpaste costs $0.75. A 15 ounce tube of toothpaste costs $6.00. Which tube is the better buy?
÷ 15
÷ 15
÷ 3
We need to find
the UNIT RATE
of each
÷ 3

25. YOUR TURN
A 3 ounce tube of toothpaste costs $0.75. A 15 ounce tube of toothpaste costs $6.00. Which tube is the better buy?
3 oz.
÷ 15
÷ 15
÷ 3
÷ 3

26. I can… Write rates Write equivalent rates Calculate unit rates
Self Assessment
5- I can do it without help & teach others.
4- I can do this with no help, but I don’t know if I can explain it.
3- I can do this with a little help.
2- I can do this with a lot of help!
1- I don’t have a clue.

27. Rates = = 8.2 Notes 15 miles 150 miles 3 seconds 30 seconds
You can only compare rates by using UNIT RATES
Rates
a rate is a ratio of two measures that have different units
a unit rate has a denominator of 1 unit
x 10
15 miles miles
3 seconds seconds =
x 10
15 miles miles
3 seconds second =