Ratios, Rates, & Proportions Station Day 1

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division. It shows how many times one value contains or is contained within the other.

Front

How do you write a ratio?

Back

Ratios can be written in three ways: using a colon (3:2), as a fraction (3/2), or with the word 'to' (3 to 2).

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as miles per hour or price per item.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

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 difference between a ratio and a rate?

Back

A ratio compares two quantities of the same kind, while a rate compares two quantities of different kinds.

Front

If there are 3 apples for every 2 oranges, what is the ratio of apples to oranges?

Back

The ratio of apples to oranges is 3:2.

Front

If a car travels 150 miles in 3 hours, what is the rate of travel?

Back

The rate of travel is 50 miles per hour (150 miles ÷ 3 hours).

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is 1. For example, if a car travels 60 miles in 1 hour, the unit rate is 60 miles per hour.

Front

How can you find a missing value in a proportion?

Back

You can find a missing value in a proportion by setting up the equation and using cross-multiplication to solve for the unknown.