Scale Factors and Proportional Relationships

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, scaling a park map, and scaling polygons. The video also covers identifying equivalent ratios.

What is the term used to describe the number that each value of one quantity is multiplied by to get the values of another quantity in a proportional relationship?

• Scale factor

• Constant of proportionality

• Ratio

• Proportional constant

In the chocolate milk example, what is the constant of proportionality between cups of milk and tablespoons of chocolate syrup?

• 4

• 2

• 3

• 1.5

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

• 1.5

• 3

• 4

• 2

In the paint mixing example, how many cups of red paint are needed for one cup of white paint?

• 1 cup

• 7/3 cups

• 2 cups

• 3/7 cups

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

• 1

• 7/3

• 3/7

• 2

What is the actual area of the park if the map uses a scale of 1 inch for every 30 miles?

• 12,000 square miles

• 21,600 square miles

• 3,600 square miles

• 1,800 square miles

If the map needs to be reproduced to fit in a brochure with an area of 6 square inches, what should be the new scale?

• 1 inch to 120 miles

• 1 inch to 30 miles

• 1 inch to 60 miles

• 1 inch to 90 miles

What scale factor did Noah apply to polygon P to create polygon Q if the area of polygon P is 5 square units and polygon Q is 45 square units?

• 2

• 3

• 5

• 4

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

• 8:14

• 6:11

• 5:9

• 10:17

Select the ratio that is not equivalent to 4:7.

• 16:28

• 20:35

• 9:16

• 12:21