Proportional Reasoning

Front

What is proportional reasoning?

Back

Proportional reasoning is the ability to compare ratios and understand the relationship between quantities in terms of their proportions.

Tags

CCSS.7.RP.A.3

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 solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Tags

CCSS.7.RP.A.2C

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.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean if two ratios form a proportion?

Back

It means that the two ratios are equivalent, or that they represent the same relationship between the quantities.

Tags

CCSS.7.RP.A.2A

Front

If 3/4 = x/12, what is x?

Back

x = 9 (Cross-multiply to solve: 3 * 12 = 4 * x).

Tags

CCSS.7.RP.A.2B

Front

What is the unit rate?

Back

The unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find the unit rate from a ratio?

Back

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

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a car travels 150 miles in 3 hours, what is its speed in miles per hour?

Back

Speed = 50 miles per hour (150 miles ÷ 3 hours).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2