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

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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

Tags

CCSS.2.OA.A.1

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

• 14 cups

• 12 cups

• 10 cups

• 8 cups

Tags

CCSS.2.OA.A.1

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

• 8

• 7

• 6

• 5

Tags

CCSS.6.RP.A.3B

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

• 9 cups

• 10 cups

• 11 cups

• 12 cups

Tags

CCSS.3.OA.A.3

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

• 10 cups

• 8 cups

• 9 cups

• 7 cups

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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

• 3 to 4

• 4 to 5

• 3 to 5

• 2 to 3

Tags

CCSS.3.OA.A.3

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

• 15 DVDs

• 18 DVDs

• 20 DVDs

• 22 DVDs

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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

• 2 to 3

• 3 to 4

• 5 to 6

• 4 to 5

Tags

CCSS.2.OA.A.1

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

• 5 miles

• 7 miles

• 6 miles

• 8 miles

Tags

CCSS.2.OA.A.1