Ratios, Unit Rate, and Proportions (6th Grade)

Ratios

100

A ratio is a ___________ between two or more numbers.

Relationship or Comparison

200

Write 11 limes to 6 lemons as a ratio in 3 ways.

11:6, 11/6, 11 to 6

300

To find an equivalent ratio you _________ or ________ both numbers in a ratio by the same thing.

multiply; divide

400

Bob's Diner sold 130 milkshakes last week. 40% of the milkshakes had whipped cream on top. How many milkshakes without whipped cream were sold?

78 WITHOUT whipped topping were sold 

500

What two operations will produce equivalent ratios?
A. Adding

B. Subtracting

C. Multiplying

D. Dividing

What is C, D Multiplying and Dividing

Ratios This / That

100

For every 4 hot dogs, 5 sodas are sold. What is the ratio of sodas to hot dogs sold? Give 3 equivalent (proportional) ratios.

5 to 4

200

All ratios are fractions. True or False?

False: All fractions ARE Part-to-Whole ratios, but Part-to-Part ratios are not fractions.

300

There are 3 pineapples and 5 bananas. What is the ratio of bananas to total fruit?

5:8

400

What are unit rates?

They are rates per one unit.

500

An High School Triathlon race consists of a 100 m swim followed by a 200 m bike ride followed by a 400 m run. The elementary school wants to run a triathlon with the same ratio of distances, but their running route will only be 200 m long. How many metres must their triathlon be?

350 m 

Proportional or Not?

100

2/3 and 4/6

Yes scaling up by a factor of 2. 2x2=4 and 3x2=6

200

1/6 and 2/7

Not Proportional Using a scale factor of 2, 1x2= 2 6x2= 12 (not equivalent to 7)

300

6/8 and 9/12

Yes 6/8= 3/4 9/12= 3/4

400

5/10 and 4/8

yes 5/10 = 1/2 4/8= 1/2

500

9/20 and 3/10

Not proportional, 20 scales down by 2 to 10, but 9 divided by 2 is not 3.

Solving equivalent ratios / Proportions

100

What value of x makes these ratios equivalent?
x:6 = 6:9

What is 4

200

What value of x makes these ratios equivalent?
x/12 = 9/36

What is 3

300

What value of x makes these ratios equivalent?
x/6 = 8/12

What is 4

400

What value of x makes these ratios equivalent?
6/10 = 18/x

What is 30

500

What value of x makes these ratios equivalent?
3:8 = 15:x

What is 40.

Unit Rate

100

What is a unit rate?

A ratio comparing 2 different things set over 1

200

If five scoops of ice cream costs $10.00, how much is is then for one scoop?

What is $2.00?

300

Martha runs 3 miles in 25 minutes. How long does it take Martha to run one mile if she is at a constant speed?

8.33 minutes

400

Hy Vee is selling 12 oz of bacon for $15.99 and Baker's is selling 20 oz of bacon for $24.99. Determine the unit rate for each store and which is the better buy.

Baker's: $1.25 per oz

Hy Vee: $1.33 per oz

Baker's is the better buy.

500

A box of chips is $13.99. If the box holds 15 bags, how much is one bag?

$0.93 per bag