Proportional Reasoning

Front

What is proportional reasoning?

Back

Proportional reasoning is the ability to compare ratios and understand the relationship between quantities that change in relation to each other.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio or rate.

Front

How do you determine if a graph shows a proportional relationship?

Back

A graph shows a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

If a recipe calls for 4 cups of flour for every 2 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 4:2, which simplifies to 2:1.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

If 8 bags of chips cost $12, what is the cost of 1 bag?

Back

The cost of 1 bag is $12 ÷ 8 = $1.50.

Front

How do you find the total cost of multiple items when given a unit price?

Back

Multiply the unit price by the number of items.

Front

What is the formula for finding miles per gallon (MPG)?

Back

MPG = Total miles driven ÷ Total gallons of gas used.

Front

If Emma takes 18 minutes to type 14 pages, how long will it take her to type 1 page?

Back

It takes Emma 18 minutes ÷ 14 pages = 1.29 minutes per page.

Front

What is a half batch in cooking?

Back

A half batch is half the amount of ingredients needed for a full recipe.