Understanding Ratios and Tape Diagrams

This lesson covers part-part-whole ratios, using examples like green and maroon paint to illustrate the concept. It introduces tape diagrams as a visual tool for understanding ratios and solving related problems. The lesson also includes a homework review and summary of key points.

What is the result of multiplying 1/5 by 45?

• 45

• 9

• 225

• 1/5

In the example of creating green paint, what is the ratio of yellow to blue paint?

• 1:1

• 3:1

• 1:3

• 2:1

How many milliliters of green paint are made when 3 ml of yellow and 1 ml of blue are mixed?

• 3 ml

• 4 ml

• 5 ml

• 6 ml

What is a tape diagram used for?

• To represent ratios

• To calculate area

• To measure length

• To draw shapes

If a tape diagram has 5 parts for sneakers and 6 parts for boots, what is the total number of parts?

• 5

• 6

• 11

• 33

In a class of 33 students, if the ratio of sneakers to boots is 5:6, how many students wear sneakers?

• 20

• 33

• 18

• 15

How many cups of oil are needed in a marinade if the ratio is 3 parts oil, 2 parts soy sauce, and 1 part orange juice, and the total is 42 cups?

• 35 cups

• 28 cups

• 21 cups

• 14 cups

If a batch of fruit punch includes 30 cups of apple juice, how many total cups are in the batch?

• 60 cups

• 70 cups

• 80 cups

• 90 cups

What is the value of each square in a tape diagram if the total is 27 and there are 9 squares?

• 1

• 3

• 2

• 4

In a tape diagram, if the ratio of cats to dogs is 4:5 and there are 27 animals, how many are dogs?

• 18

• 9

• 12

• 15