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Unit Rates, Schemes and Mind Maps of Mathematics

A ratio is a comparison of two quantities. Unit rates are rates in which the second quantity is 1. Compares a quantity to it's unit of measure.

Typology: Schemes and Mind Maps

2021/2022

Uploaded on 09/12/2022

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Unit Rates
Ratio: 90
3
Rate: 90 miles
3 hours Read as
“90 miles per 3hours.”
A rate is a comparison of two quantities
that have different units.
A ratio is a comparison of two quantities.
Unit rates are rates in which the second
quantity is 1.
Compares a quantity to it’s unit of measure.
unit rate: 30 miles,
1 hour or 30 mi/h
The ratio 90
3can be simplified by dividing:
90
3=30
1
The unit rate is read as “twenty five
miles per hour.”
Reading Math 25miles
1 hour
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Unit Rates

Ratio: 90

Rate: 90 miles

3 hours

Read as

“90 miles per 3hours.”

A rate is a comparison of two quantities

that have different units.

A ratio is a comparison of two quantities.

Unit rates are rates in which the second

quantity is 1.

Compares a quantity to it’s unit of measure.

unit rate: 30 miles,

1 hour

or 30 mi/h

The ratio 90

can be simplified by dividing:

The unit rate is read as “twenty five

miles per hour.”

Reading Math 25miles 1 hour

Find the unit rates and write them in both fraction and word forms. Additional Example 2A: Writing Rates and Unit Rates A. Gordon memorized 560 vocabulary words in 28 days.

560 words

28 days

Rate in fraction

form

560 ÷ 28

28 ÷ 28

= 20 words

1 day

Unit rate in

fraction form

Gordon memorized

20 words per day.

Unit rate in

word form

Find the unit rates and write them in both fraction and word forms. Additional Example 2B: Writing Rates and Unit Rates B. Pete added 12 ounces of chocolate chips to a recipe that yielded 48 cookies.

12 oz

48 cookies

Rate in fraction

form

12 ÷ 48

48 ÷ 48

= 0.25 oz

1 cookie

Unit rate in

fraction form

There is 0.25 ounce of

chocolate chips per cookie.

Unit rate in

word form

Find the unit rates and write them in both fraction and word forms. Try This: Example 2A A. Harold could jog 1,000 meters in 5 minutes.

1,000 m

5 min

Rate in fraction

form

1,000 ÷ 5

5 ÷ 5

= 200 m

1 min

Unit rate in

fraction form

Harold jogged 200

meters per minute.

Unit rate in

word form

Find the unit rates and write them in both fraction and word forms. Try This: Example 2B B. Yvonne added 3 ounces of blueberries to a recipe that made 12 muffins.

3 oz

12 muffins

Rate in fraction

form

3 ÷ 12

12 ÷ 12

= 0.25 oz

1 muffin

Unit rate in

fraction form

There is 0.25 ounce of

blueberries per muffin.

Unit rate in

word form

Idaho =

 26,923 acres

1 week

1,400,000 acres

52 weeks

Try This: Example 2 Continued Use the bar graph to find the number of acres, to the nearest acre, destroyed in Montana and Idaho per week. Unit price is a unit rate used to compare costs per item. *Use for any $$$ $ amount = rate unit Pens can be purchased in a 5-pack for $1. or a 15-pack for $6.20. Which is the better buy? Additional Example 3A: Finding Unit Prices to Compare Costs Divide the price by the number of pens. price for package number of pens

price for package number of pens

The better buy is the 5-pack for $1.95. Jamie can buy a 15oz jar peanut butter for $2.19 or a 20 oz jar for $2.78. Which is the better buy? Additional Example 3B: Finding Unit Prices to Compare Costs $2.19  15

The better buy is the 20-oz jar for $2.78. price for jar number of ounces price for jar number of ounces Divide the price by the number of ounces.

Golf balls can be purchased in a 3-pack for $4.95 or a 12-pack for $18.95. Which is the better buy? Try This: Example 3A Divide the price by the number of balls. price for package number of balls

price for package number of balls

The better buy is the 12-pack for $18.95. Try This: Example 3B John can buy a 24 oz bottle of ketchup for $2.19 or a 36 oz bottle for $3.79. Which is the better buy? $2.19  24

The better buy is the 24-oz jar for $2.19. price for bottle number of ounces price for bottles number of ounces Divide the price by the number of ounces.