Exploring Constant Rate of Change in 8th Grade Math

What is the main objective of the lesson?

• To identify proportional and nonproportional linear relationships

• To learn about geometric shapes

• To understand exponential growth

• To identify quadratic relationships

In the example of Marcus downloading songs, how many songs does he download per minute?

• Three songs per minute

• Four songs per minute

• Two songs per minute

• One song per minute

What pattern is observed when graphing the number of songs downloaded over time?

• No pattern

• A zigzag pattern

• A straight line

• A curved line

In the temperature change example, why is the relationship not linear?

• The time intervals are not equal

• The temperature changes are not consistent

• The temperature decreases at a constant rate

• The temperature increases at a constant rate

What is the rate of change for the first temperature interval in the example?

• 5 degrees Fahrenheit per minute

• 2 degrees Fahrenheit per minute

• 0.8 degrees Fahrenheit per minute

• 1 degree Fahrenheit per minute

In the volunteers and time example, what is the constant rate of change?

• -2.5 minutes per volunteer

• -5 minutes per volunteer

• 2.5 minutes per volunteer

• 5 minutes per volunteer

How do we determine if a relationship is linear from a graph?

• By checking if the points form a circle

• By checking if the points form a straight line

• By checking if the points form a zigzag

• By checking if the points form a curve

What is a key concept of proportional linear relationships?

• They have a constant ratio and a variable rate of change

• They have a variable ratio and a variable rate of change

• They have a variable ratio and a constant rate of change

• They have a constant ratio and a constant rate of change

In the mass and weight example, what is the constant rate of change?

• 27 over 60

• 18 over 40

• 20 over 9

• 9 over 20

How do we verify if the mass and weight data are proportional?

• By checking if the differences are the same

• By checking if the differences are different

• By checking if the ratios are the same

• By checking if the ratios are different