SOL 7.3 Mastery Flashcard (proportional reasoning)

Front

What is proportional reasoning?

Back

Proportional reasoning is the ability to compare ratios and understand the relationship between quantities. It involves recognizing that two ratios are equivalent.

Front

Define ratio.

Back

A ratio is a comparison of two quantities by division, often expressed as 'a to b' or a:b.

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, you can use cross-multiplication. If a/b = c/d, then a*d = b*c.

Front

What is the cross-multiplication method?

Back

The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio to find equivalent ratios.

Front

Give an example of a real-world application of proportional reasoning.

Back

If a recipe requires 2 cups of flour for 4 servings, to find out how much flour is needed for 10 servings, you can set up a proportion: 2/4 = x/10.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, such as miles per hour or price per item.

Front

How do you find a unit rate?

Back

To find a unit rate, divide the first quantity by the second quantity to express it as a rate per one unit.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.