Transcript Unit rate

Rates Ratios and Unit Rates
You will need two different colored
highlighters
Not all slides are used in the notes
• Ratio - a comparison of two quantities by
division. Can be written 3 different ways.
200 : 4
200 to 4
200
4
• Rate – Ratio that compares 2
quantities measured in different
units
200 Miles : 4 Hours
200 Miles to 4 Hours
200 Miles
4 Hours
Ex 1) A basket of fruit contains 6 apples, 4 bananas, and 3 kiwi.
Write a ratio in all 3 forms for the following:
A. Bananas to kiwi
B. Kiwi to bananas
4b
3k
3k
4b
C. Bananas to apples
2b
4b
6a = 3a
D. Apples to Kiwi
6a
2a
3k = 1k
1. Write the first quantity on
top with a label
2. Simplify, but do not
convert to a proper fraction
A unit rate is a rate whose denominator is 1. To change a rate to a unit
rate, divide both the numerator and denominator by the
denominator.
200 Miles
4 Hours
=
50 Miles
1 Hour
Ex 2)
During exercise, Paul’s heart beats 675 times in 5 minutes.
How many times does it beat per minute?
675 beats
beats
675
5 minutes
÷ 5
÷ 5
=
135 beats
1 minute
Ex 3) The Millers want to drive the 288 miles to Rainbow Falls in
6 hours. What should their average speed be in miles per
hour?
288 miles
6 hours
÷ 6
÷ 6
=
48 miles
1 hour
Notes start here
Date ___________
Rates Ratios and
You will need two different colored
highlighters
A ratio is a comparison of two quantities. Can be written
3 different ways.
:
to
• Rate – Ratio that compares 2
quantities measured in different
units
:
to
Ex 1) A basket of fruit contains 6 apples, 4 bananas, and 3 kiwi.
Write a ratio in all 3 forms for the following:
A. Bananas to kiwi
1. Write the first quantity on
top with a label
B. Kiwi to bananas
2. Simplify, but do not
convert to a proper fraction
C. Bananas to apples
D. Apples to Kiwi
A unit rate is a rate whose denominator is 1. To change a rate to a unit
rate, divide both the numerator and denominator by the
denominator.
200 Miles
4 Hours
=
50 Miles
1 Hour
Ex 2)
During exercise, Paul’s heart beats 675 times in 5 minutes.
How many times does it beat per minute?
÷
÷
=
Ex 3) The Millers want to drive the 288 miles to Rainbow Falls in
6 hours. What should their average speed be in miles per
hour?
÷
÷
=