Proportional Relationships and Scale Factors

This video tutorial introduces seventh-grade students to proportional relationships using tables. Key terms such as 'constant of proportionality' and 'proportional relationship' are explained. Examples include making chocolate milk, mixing paint, and calculating map scales. The video also covers scaling polygons and identifying equivalent ratios.

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

• Proportional constant

• Ratio

• Scale factor

• Constant of proportionality

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

• 3

• 4

• 1.5

• 2

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

• 3

• 1.5

• 2

• 4

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

• 3/7

• 7/3

• 1/3

• 3

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

• 3/7

• 3

• 1/3

• 7/3

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

• 21,600

• 18,000

• 12,000

• 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?

• 8:14

• 6:11

• 10:17

• 5:9

Which of these ratios is not equivalent to 4:7?

• 9:16

• 20:35

• 12:21

• 16:28