Rates and Ratios

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, usually with different units, such as speed (miles per hour) or price (cost per item).

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit. For example, if 5 notebooks cost $20, the unit rate is 1 notebook for $4.

Front

How do you convert a rate to a unit rate?

Back

To convert a rate to a unit rate, divide the first quantity by the second quantity to find the cost or amount per one unit.

Front

What is a ratio?

Back

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

Front

How do you simplify a ratio?

Back

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

Front

What is the ratio of 9 triangles to 18 shapes?

Back

The ratio of triangles to shapes is 9:18, which simplifies to 1:2.

Front

If there are 5 blue marbles and 7 red marbles, what is the ratio of blue to red marbles?

Back

The ratio of blue marbles to red marbles is 5:7.

Front

How do you create a ratio table?

Back

A ratio table lists pairs of numbers that maintain a constant ratio. For example, if 1 serving serves 6 people, the table would show (1, 6), (2, 12), (3, 18), (4, 24).

Front

What is the relationship between servings and people served in a fruit punch recipe?

Back

For every 1 serving of fruit punch, 6 people are served. This creates a linear relationship.

Front

What is the formula for finding a unit rate?

Back

Unit Rate = Total Quantity / Number of Units.