7th grade Ratio and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the quantity by the number of units. For example, if you have 405 rotations in 5 minutes, the unit rate is 405 ÷ 5 = 81 rotations per minute.

Front

What does it mean if two ratios do not form a proportion?

Back

It means that the two ratios are not equivalent and do not represent the same relationship.

Front

If 6 people pay $39, how much do 9 people pay?

Back

$58.50. This is found by setting up a proportion: 6/39 = 9/x, solving for x.

Front

What is the unit rate of Kenny reading 5/8 page in 2/3 minute?

Back

15/16 pages per minute. This is calculated by dividing 5/8 by 2/3.

Front

What is the first step in solving a proportion problem?

Back

Identify the two ratios that you are comparing and set them equal to each other.

Front

What is an example of a ratio?

Back

An example of a ratio is 3:4, which means for every 3 of one quantity, there are 4 of another.

Front

How can you check if two ratios form a proportion?

Back

Cross-multiply the ratios. If the cross products are equal, then the ratios form a proportion.

Front

What is the formula for finding a unit rate?

Back

Unit Rate = Total Quantity / Number of Units.