Ratios, Proportions, Unit Rates and Conversions

Flashcards on Proportional Reasoning, Conversions, Unit Rates, Percentages, Ratios and Proportions

What is a ratio?

A comparison of like quantities.

In a ratio, why are units not included?

Because the units are the same.

List three ways to write a ratio.

1 to 2, 1:2, 1/2

What is a proportion?

A statement of the equality of two ratios.

Name the two ways a proportion can be written.

Ratio form and fractional form.

What can be used to solve proportions that cannot be solved by inspection?

Cross multiplication

What is a rate?

A comparison of two quantities measured in different units.

What is a unit rate?

A rate that compares to a single unit (the second term is 1).

Explain how to convert a fraction to a decimal.

Divide numerator by denominator.

Explain how to convert a decimal to a percent.

Multiply by 100.

Explain how to convert a percent to a decimal.

Divide by 100.

Explain how to convert a percent to a fraction.

Put percentage over 100 and simplify.

What is the key characteristic of equivalent ratios?

They have the same simplest form or the same comparison.

What must be present between two equivalent ratios to form a proportion?

An equal sign (=).

Describe a part-to-part ratio.

Compares different parts of a group to each other.

Describe a part-to-whole ratio.

Compares one part of a group to the whole group.