Understanding Ratios and Proportions

This video tutorial introduces seventh-grade students to proportional relationships, focusing on activities involving double number lines, ratios in recipes, and geometric shapes. It provides step-by-step instructions for drawing double number lines, calculating ratios in recipes, and identifying different ratios using crescent moon shapes. The video concludes with practice problems to reinforce the concepts learned.

What is the relationship between the numbers 15 and 3 in a double number line?

• They are unrelated

• 15 is a factor of 3

• 3 is a multiple of 15

• 15 is a multiple of 3

How can you adjust the ratio of powder to water to make them equivalent?

• Add more powder to all mixtures

• Make the cups of water the same

• Use less powder in all mixtures

• Change the teaspoons of powder to be equal

Which crescent moon has a different ratio of length to width?

• Moon A

• Moon D

• Moon C

• Moon B

What is the simplest form of the ratio 8:12?

• 2:3

• 1:2

• 4:6

• 3:4

In the practice problem with ovals, which oval is different?

• Oval A

• Oval B

• Oval C

• Oval D

How do you make the ratio of peanuts to raisins equivalent?

• Make the cups of raisins equal

• Add more peanuts to all mixtures

• Decrease the raisins by 3

• Increase the peanuts by 2

What is the equivalent of one centimeter to one kilometer in meters?

• 100,000 meters

• 1,000 meters

• 100 meters

• 10,000 meters

What is an equivalent ratio to 7:3 when both numbers are multiplied by 2?

• 21:9

• 14:6

• 28:12

• 35:15

If you multiply both parts of the ratio 7:3 by 4, what is the new ratio?

• 28:12

• 21:9

• 35:15

• 14:6

What is the result of multiplying both parts of the ratio 7:3 by 5?

• 14:6

• 21:9

• 28:12

• 35:15