Exploring Ratios through Tape Diagrams

This video tutorial introduces tape diagrams as a visual tool for modeling part-to-part ratios, specifically in a sixth-grade context. The instructor uses an example involving Shani and Mel's ribbons to demonstrate how tape diagrams can represent ratios. The video explores how changing the unit value affects the tape diagram's outcome while maintaining equivalent ratios. The tutorial concludes by reinforcing the concept of equivalent ratios and how to calculate them using tape diagrams.

What is another name for tape diagrams?

• Circle models

• Line models

• Bar models

• Pie charts

In the example, what is the ratio of Shanny's ribbon to Mel's ribbon?

• 6 to 4

• 7 to 3

• 8 to 3

• 5 to 2

How many units should be drawn for Shanny's portion of the ratio?

• 9 units

• 7 units

• 3 units

• 5 units

If each unit on the tape diagram represents 2 inches, what is the length of Shanny's ribbon?

• 10 inches

• 12 inches

• 14 inches

• 16 inches

If each unit on the tape diagram represents 2 inches, what is the length of Mel's ribbon?

• 4 inches

• 6 inches

• 8 inches

• 10 inches

What is the ratio of Shanny's ribbon to Mel's ribbon if each unit represents 3 meters?

• 21 to 9

• 18 to 6

• 15 to 9

• 12 to 6

What remains constant in the tape diagram regardless of the unit value?

• The color of the ribbons

• The number of units

• The total length of the ribbons

• The value of each unit

What changes in the tape diagram when the unit value changes?

• The value of each unit

• The total length of the ribbons

• The color of the ribbons

• The number of units

How can you find the original ratio from an equivalent ratio?

• By multiplying the units

• By dividing the units

• By subtracting the units

• By adding the units

What is the equivalent ratio of 14 to 6 when simplified?

• 8 to 3

• 6 to 4

• 7 to 3

• 5 to 2