Comparing and Scaling 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, 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 a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per unit' (e.g., miles per hour).

Front

If Mary bikes 1.5 miles in 10 minutes, what is her speed in miles per minute?

Back

0.15 miles per minute.

Front

If Shirley bikes 3 miles in 20 minutes, what is her speed in miles per minute?

Back

0.15 miles per minute.

Front

How do you find the better deal between two prices?

Back

To find the better deal, calculate the unit price for each option and compare them.

Front

What is the unit price of a single pack of paper that costs $1.25?

Back

$1.25 per pack.

Front

What is the unit price of an 8-pack box of paper that costs $8.50?

Back

$1.06 per pack.

Front

If a recipe requires 1 cup of apples for every 0.5 tablespoon of cinnamon, how many tablespoons of cinnamon are needed for 6 cups of apples?

Back

3 tablespoons of cinnamon.

Front

If it takes 3 cups of sugar to make 2 batches of cookies, how many cups of sugar are needed for 1 batch?

Back

1.5 cups of sugar.