Exploring Tape Diagrams for Ratios

The video tutorial covers lesson 22 on using tape diagrams to model ratios. It begins with an introduction to tape diagrams and their use in representing ratios. The first example involves modeling the ratio of cheese to pepperoni pizzas, demonstrating how to calculate equivalent ratios. The second example uses a frog's lunch to illustrate the ratio of flies to mosquitoes, showing how to complete a table of values based on the given ratio. The final example involves calculating the ratio of pumpkin to liver biscuits for a dog, using tape diagrams to determine the number of biscuits needed. Throughout the video, the teacher emphasizes the use of equivalent ratios and tape diagrams as effective tools for solving ratio problems.

What is a tape diagram used for?

• To model ratios

• To measure length

• To calculate area

• To draw shapes

If the ratio of cheese to pepperoni pizzas is 3:1, how many pepperoni pizzas are there if there are 6 cheese pizzas?

• 1

• 4

• 2

• 3

How do you find the number of pepperoni pizzas if you know the number of cheese pizzas?

• Add the number of cheese pizzas

• Subtract the number of cheese pizzas

• Multiply the number of cheese pizzas by the ratio

• Divide the number of cheese pizzas by the ratio

In the ratio of flies to mosquitoes, if there are 15 flies, how many mosquitoes are there?

• 45

• 30

• 35

• 40

If there are 14 mosquitoes, how many flies are there?

• 4

• 5

• 7

• 6

What is the first step in solving the ratio problem involving flies and mosquitoes?

• Count the number of boxes for flies

• Divide the number of flies by the ratio

• Count the number of boxes for mosquitoes

• Multiply the number of flies by the ratio

If Lenny buys 24 liver biscuits, how many pumpkin biscuits should he buy?

• 30

• 18

• 24

• 12

How do you determine the number of pumpkin biscuits if you know the number of liver biscuits?

• Add the number of liver biscuits

• Divide the number of liver biscuits by the ratio

• Subtract the number of liver biscuits

• Multiply the number of liver biscuits by the ratio

What is the ratio of pumpkin to liver biscuits in the tape diagram?

• 1:2

• 2:3

• 3:4

• 4:5

How many boxes are used to represent liver biscuits in the tape diagram?

• 4

• 3

• 2

• 5