Ratios and Tape Diagrams

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another.

Front

What does a tape diagram represent?

Back

A tape diagram is a visual model that uses rectangles to represent numbers and their relationships, often used to solve ratio and proportion problems.

Front

If the ratio of girls to boys in a class is 4:5, how can you find the total number of students?

Back

Add the parts of the ratio: 4 + 5 = 9. Then, divide the total number of students by 9 and multiply by the number of parts for girls.

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different.

Front

How do you find an equivalent ratio to 6:7?

Back

Multiply both terms of the ratio by the same non-zero number. For example, multiplying by 6 gives 36:42.

Front

What is a part-to-part ratio?

Back

A part-to-part ratio compares one part of a group to another part of the same group.

Front

What is a part-to-whole ratio?

Back

A part-to-whole ratio compares one part of a group to the total of the group.

Front

If 30 kids like grape juice and 40 kids like pineapple juice, what is the ratio of kids who like grape juice to those who like pineapple juice?

Back

The ratio is 30:40, which simplifies to 3:4.

Front

How can tape diagrams help in solving ratio problems?

Back

Tape diagrams help visualize the relationships between quantities, making it easier to see how to divide or combine them.

Front

What is the first step in solving a problem involving ratios?

Back

Identify the quantities being compared and write the ratio in simplest form.