Day 2: Ratios, Rates, & Proportions Station

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 in words (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 speed (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 60 miles in 1 hour, what is its speed in miles per hour?

Back

The speed of the car is 60 miles per hour.

Front

If 4 pencils cost $2, what is the unit rate of pencils per dollar?

Back

The unit rate is 2 pencils per dollar.

Front

What is an equivalent ratio?

Back

Equivalent ratios are two or more ratios that express the same relationship. For example, 1:2 and 2:4 are equivalent ratios.