Optional Extra Credit: Unit 2 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 find the unit rate?

Back

To find the unit rate, divide the total amount by the number of units. For example, if Mr. Keys made $90 in 5 hours, the unit rate is $90 ÷ 5 = $18 per hour.

Front

What does equivalent ratios mean?

Back

Equivalent ratios are two or more ratios that express the same relationship between numbers. For example, 5:7 and 25:35 are equivalent ratios.

Front

How do you use a ratio table?

Back

A ratio table is a tool that helps you find equivalent ratios by listing pairs of numbers that maintain the same ratio. You can use it to solve problems involving proportions.

Front

If the ratio of sweaters to vests is 6:5, how many sweaters are there if there are 30 vests?

Back

If the ratio is 6:5 and there are 30 vests, you can set up a proportion: 6/5 = x/30. Solving gives x = 36 sweaters.

Front

What is a missing value in a ratio table?

Back

A missing value in a ratio table is an unknown quantity that can be found by using the relationships established by the other known values in the table.

Front

How do you solve for a missing number in a ratio?

Back

To solve for a missing number in a ratio, set up a proportion based on the known ratios and cross-multiply to find the unknown value.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator. For example, the ratio 3:4 can be written as the fraction 3/4.

Front

How can you check if two ratios are equivalent?

Back

To check if two ratios are equivalent, cross-multiply the terms and see if the products are equal. For example, for 5:7 and 25:35, check if 5*35 = 7*25.

Front

What is a tape diagram?

Back

A tape diagram is a visual representation of ratios and relationships between quantities, often used to solve problems involving proportions.