Understanding the Constant of Proportionality

Dr. Nelson introduces the concept of the constant of proportionality, explaining it as the unit rate derived from graphs. He demonstrates how to find easy-to-read points on a graph and calculate the unit rate by dividing the y-value by the x-value. The video includes practice problems for viewers to try on their own, reinforcing the concept of constant of proportionality through real-world examples like the cost of bananas and a family road trip.

What is another term used for the constant of proportionality?

• Slope

• Unit Rate

• Intercept

• Gradient

Tags

CCSS.6.NS.C.6B

When identifying a point on a graph, what should you look for?

• A point with the lowest x-value

• A point with the highest y-value

• A point that is easy to read

• A point at the origin

Why is it important to find a point that is easy to read on a graph?

• To locate the origin

• To simplify calculations

• To find the maximum value

• To identify the slope

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

How do you calculate the unit rate from a graph?

• Divide y by x

• Subtract x from y

• Add x and y values

• Multiply x and y values

Tags

CCSS.7.RP.A.2B

What is the result of dividing the y-value by the x-value in a proportional relationship?

• The intercept

• The slope

• The unit rate

• The gradient

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CCSS.7.RP.A.2D

If a graph point has coordinates (4, 100), what is the unit rate?

• 400

• 100

• 25

• 4

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

What does a unit rate of 25 cents per pound indicate?

• 1 pound costs 1 cent

• 25 pounds cost 25 cents

• 1 pound costs 25 cents

• 25 pounds cost 1 cent

Tags

CCSS.7.RP.A.2B

In the family road trip example, what is the constant of proportionality if the point is (2, 120)?

• 60

• 120

• 2

• 240

Tags

CCSS.7.RP.A.1

For Nolan's retirement party, if the point is (10, 20), what is the unit rate?

• 0.5

• 20

• 2

• 10

Tags

CCSS.7.RP.A.2B

What is the common theme in finding the constant of proportionality?

• Add x and y

• Divide y by x

• Subtract x from y

• Multiply x and y

Tags

CCSS.7.RP.A.2B