Tape Diagram Ratios

Front

What is a tape diagram?

Back

A tape diagram is a visual representation used to show the relationship between quantities, often used to solve ratio and proportion problems.

Front

How do you find the total number of items in a group using a tape diagram?

Back

To find the total, add the quantities represented in the tape diagram for each category.

Tags

CCSS.1.OA.A.1

Front

What does a ratio represent?

Back

A ratio represents a relationship between two quantities, showing how many times one value contains or is contained within the other.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is an equivalent ratio?

Back

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

Tags

CCSS.6.RP.A.3A

Front

If the ratio of boys to girls is 3:5 and there are 30 boys, how many girls are there?

Back

50 girls.

Front

How can you use a tape diagram to solve for unknown quantities in a ratio?

Back

You can use a tape diagram to visually represent the known quantities and the ratio, then use that to find the unknown quantity by scaling.

Front

What is the first step in solving a ratio problem using a tape diagram?

Back

Identify the ratio and the known quantity, then draw the tape diagram to represent the relationship.

Front

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

Back

36 sweaters.

Front

In a bag of candies, if the ratio of blue to red is 3:4 and there are 15 blue candies, how many total candies are there?

Back

35 total candies.

Front

What is the formula to find the total number of items in a ratio?

Back

Total = (Sum of the parts) x (Value of one part).