Proportions

Front

What is a proportion?

Back

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

Tags

CCSS.7.RP.A.2A

Front

How do you set up a proportion to solve for an unknown?

Back

To set up a proportion, you can use the cross-multiplication method, where you multiply the means and the extremes.

Tags

CCSS.7.RP.A.2C

Front

If a recipe calls for a ratio of 2:1 for flour to sugar, how would you adjust the amounts if you want to use 4 cups of flour?

Back

You would use 2 cups of sugar to maintain the ratio.

Front

What is the formula for finding a missing value in a proportion?

Back

If a/b = c/d, then ad = bc, where a, b, c, and d are the values in the proportion.

Tags

CCSS.7.RP.A.3

Front

How can you determine the scale factor between two similar figures?

Back

The scale factor can be determined by dividing the length of a side of one figure by the corresponding side of the other figure.

Tags

CCSS.7.G.A.1

Front

What is the relationship between unit rates and proportions?

Back

Unit rates are a specific type of proportion where one of the quantities is 1.

Tags

CCSS.6.RP.A.3A

Front

How do you find the total number of items in a proportional relationship?

Back

You can use the known ratio to set up a proportion and solve for the total number of items.

Front

What is the significance of cross-multiplication in solving proportions?

Back

Cross-multiplication allows you to eliminate the fractions and solve for the unknown variable.

Tags

CCSS.7.RP.A.2C

Front

How do you apply proportions to real-world problems?

Back

Proportions can be used to solve problems involving scaling, ratios, and comparisons in various contexts, such as cooking, travel, and population estimates.

Tags

CCSS.7.RP.A.3

Front

What is a direct variation, and how does it relate to proportions?

Back

Direct variation is a relationship between two variables where one is a constant multiple of the other, which can be expressed as a proportion.

Tags

CCSS.7.RP.A.2D