Checkpoint Flashcard: Proportional Relationships (7.CE.2a-b)

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

How do you set up a proportion?

Back

To set up a proportion, you can use the formula a/b = c/d, where a and b are quantities from one situation, and c and d are quantities from another situation.

Front

If John drove 61 miles on 2.5 gallons of gas, how can we express the distance per gallon?

Back

Distance per gallon = 61 miles / 2.5 gallons = 24.4 miles per gallon.

Front

What is the formula to find the missing value in a proportion?

Back

The formula is cross-multiplication: a/b = c/d leads to ad = bc.

Front

In the context of recipes, what does it mean to scale a recipe?

Back

Scaling a recipe means adjusting the ingredient amounts to make more or less of the dish while maintaining the same proportions.

Front

How do you find the amount of an ingredient needed for a different batch size?

Back

Use the ratio of the original batch size to the new batch size to find the new amount of each ingredient.

Front

What is the ratio of ice tea mix to water in Jake's recipe?

Back

The ratio is 2 tablespoons of ice tea mix for every 5 quarts of water.

Front

How do you calculate the amount of ice tea mix needed for 4 quarts of water?

Back

Set up a proportion: 2 tablespoons / 5 quarts = x tablespoons / 4 quarts, then solve for x.

Front

What is the missing amount of almond flour for a batch of cookies if the original recipe calls for 10 cups?

Back

The missing amount is 10 cups.

Front

If a recipe requires 1/4 cup of sugar for a certain batch size, how much sugar is needed for a smaller batch?

Back

You can find the amount needed by scaling down the recipe based on the new batch size.