Comparing Unit Rates with Proportional Reasoning

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the first quantity by the second quantity to find out how many units of the first quantity correspond to one unit of the second quantity.

Front

What is the unit rate of 156 players on 12 teams?

Back

13 players per team.

Front

What does it mean for two ratios to form a proportion?

Back

Two ratios form a proportion if they are equivalent, meaning they represent the same relationship between quantities.

Front

Determine if the ratios 2:3 and 4:6 form a proportion.

Back

Yes, they form a proportion because 2/3 = 4/6.

Front

What is the unit rate of 12 rooms on 2 floors?

Back

6 rooms per floor.

Front

If apples sell 4 for $2.40, how much do 6 apples cost?

Back

$3.60.

Front

How do you find the price per gallon if you paid $15.00 for 6 gallons of gasoline?

Back

Divide the total cost by the number of gallons: $15.00 ÷ 6 = $2.50 per gallon.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

If a recipe calls for 3 cups of flour for every 2 cups of sugar, what is the unit rate of flour to sugar?

Back

1.5 cups of flour per cup of sugar.