Mastering Unit Rates and Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, expressed as 'a:b'.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'x per 1 unit'.

Front

How do you find a unit rate from a ratio?

Back

To find a unit rate, divide the first quantity by the second quantity to express it as 'x per 1 unit'.

Front

What is an equivalent ratio?

Back

Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different.

Front

Complete the table of equivalent ratios: Apples: 2, Oranges: 3; Apples: 4, Oranges: 6; Apples: 6, Oranges: ?

Back

9

Front

What does a double number line represent?

Back

A double number line is a visual tool that shows two related quantities and their corresponding values, helping to find equivalent ratios.

Front

If you travel at a speed of 55 miles per hour, how far will you go in 5 hours?

Back

275 miles.

Front

What pattern do you observe when plotting (2, 4), (4, 8), (6, 12) on a coordinate plane?

Back

The points form a straight line.

Front

What is the ratio of 8 red marbles to 12 blue marbles?

Back

2:3