Exploring Tape Diagram Applications

The video tutorial introduces tape diagrams as visual models to solve ratio problems. It explains the concept of tape diagrams and demonstrates their use through examples involving pineapple and grape juice, total punch calculation, and a books and DVDs problem. The tutorial concludes with a student exercise involving Mason and Laney running laps, encouraging learners to apply the concept of tape diagrams to solve ratio problems independently.

What is a tape diagram used for?

• To solve problems involving ratios

• To illustrate fractions

• To measure lengths

• To compare weights

What is the ratio of pineapple juice to grape juice in the given tape diagram?

• 4 to 3

• 2 to 3

• 3 to 2

• 3 to 4

If Kayla has 16 cups of pineapple juice, how much grape juice does she need?

• 14 cups

• 12 cups

• 10 cups

• 8 cups

How many total unit squares are there in the tape diagram for the second problem?

• 8

• 7

• 6

• 5

If the total punch needed is 21 cups, how many cups of pineapple juice are required?

• 9 cups

• 10 cups

• 11 cups

• 12 cups

How many cups of grape juice are needed if the total punch is 21 cups?

• 10 cups

• 8 cups

• 9 cups

• 7 cups

What is the ratio of books to DVDs in the store problem?

• 3 to 4

• 4 to 5

• 3 to 5

• 2 to 3

If the store sold 12 books, how many DVDs did they sell?

• 15 DVDs

• 18 DVDs

• 20 DVDs

• 22 DVDs

What is the ratio of laps Mason ran to laps Laney ran?

• 2 to 3

• 3 to 4

• 5 to 6

• 4 to 5

If Mason ran 4 miles, how far did Laney run?

• 5 miles

• 7 miles

• 6 miles

• 8 miles