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

Ratios

100

A ratio is a ___________ between two or more numbers.

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

What are the three types of ratios?

Part-to-Whole, Whole-to-Part, and Part-to-Part

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? 

5 to 4

200

There are 4 cups of lemonade for every 9 cups of soda. What is the ratio of lemonade to total beverages?

4/13

300

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

5:8

400

What are unit rates?

Rates that have a denominator of 1.

500

Write 3 equivalent ratios.

Answers will vary, must be confirmed by opposing player (if playing against someone)

Equivalent 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

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.

Random Ratios

100

What is the greatest common factor of 12 and 18?

6

200

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

What is $2.00?

300

Bus A arrives every 10 minutes and Bus B arrives every 25 minutes. How many minutes until both busses arrive at the same time?

50 minutes

400

How do you simplify fractions?

Divide the numerator and the denominator by the same number.

500

One case of cookies contains 12 cookies. Which of the following lists the ordered pairs (cases, number of cookies) for 1, 2, 3, and 4 cases of cookies?

A. (1,12),(2,24),(3,36),(4,48)

B. (12,1),(24,2),(36,3),(48,4)

C. (1,24),(2,12),(4,36),(3,48)

A - (1,12),(2,24),(3,36),(4,48)