Proportional Relationships and Ratios

This video tutorial introduces seventh-grade students to proportional relationships using tables. Key terms such as 'constant of proportionality' and 'proportional relationship' are explained. Several examples, including making chocolate milk, mixing paint, scaling a park map, and scaling polygons, illustrate these concepts. The video also covers identifying equivalent ratios.

What is the term used to describe the number that multiplies one quantity to get another in a proportional relationship?

• Ratio

• Constant of proportionality

• Proportional constant

• Scale factor

In the chocolate milk example, what is the constant of proportionality?

• 4

• 2

• 1.5

• 3

What is the scale factor shown in the chocolate milk example?

• 3

• 1.5

• 4

• 2

How many cups of red paint are needed for one cup of white paint in the paint mixing example?

• 1/2

• 3/7

• 2/3

• 1/3

What is the constant of proportionality in the paint mixing example?

• 3/7

• 7/3

• 2/3

• 1/3

What is the actual area of the park in square miles?

• 18,000

• 15,000

• 21,600

• 24,000

What new scale is needed for the map to fit in a brochure?

• 1 inch to 60 miles

• 1 inch to 30 miles

• 1 inch to 90 miles

• 1 inch to 120 miles

What scale factor did Noah use to create polygon Q from polygon P?

• 5

• 4

• 3

• 2

Which of the following ratios is equivalent to 4:7?

• 6:11

• 10:17

• 5:9

• 8:14

Which of the following is NOT an equivalent ratio to 4:7?

• 12:21

• 9:16

• 20:35

• 16:28