Constant Rate of Change and Proportional Relationships

The video tutorial by Mr. Haines explores the concept of constant rate of change, focusing on identifying proportional and linear relationships in tables and graphs. Through examples like music downloads, account transactions, and babysitter charges, the video demonstrates how to determine if a relationship is linear and how to calculate the rate of change. Students are encouraged to pause and reflect on the examples, ensuring they understand the concepts of proportionality and linearity.

What is the central question addressed in this video?

• How to find the volume of a cylinder

• How to solve quadratic equations

• How to determine if a table or graph shows a proportional or linear relationship

• How to calculate the area of a circle

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

In Marcos' music download example, how many songs can he download per minute?

• One song

• Two songs

• Three songs

• Four songs

Tags

CCSS.7.RP.A.2B

What does a straight line on a graph indicate about the relationship?

• It is quadratic

• It is proportional

• It is exponential

• It is non-linear

Tags

CCSS.8.EE.B.5

In the account balance example, what is the constant change in the number of transactions?

• Subtracting 30

• Adding 2

• Subtracting 10

• Adding 3

Tags

CCSS.HSF-LE.A.1B

What is the constant change in the balance for each transaction in the account balance example?

• Adding 30

• Subtracting 30

• Adding 10

• Subtracting 3

Tags

CCSS.HSF-LE.A.1B

What is the rate of change in the account balance example?

• -10

• 10

• -30

• 30

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

In the babysitter charges example, what should you check to determine if the relationship is linear?

• The initial charge

• The number of hours worked

• The total amount charged

• The constant rate of change

Tags

CCSS.HSF-LE.A.1B

How do you know if a relationship is proportional from a table?

• If the change in Y is constant and the change in X is variable

• If the change in Y is variable and the change in X is constant

• If the change in Y and X are both variable

• If the change in Y is constant and the change in X is constant

Tags

CCSS.7.RP.A.2B

How do you know if a relationship is proportional from a graph?

• If the graph is straight

• If the graph is quadratic

• If the graph is curved

• If the graph is exponential

Tags

CCSS.7.RP.A.2D

What should students do after watching the video?

• Calculate the area of a circle

• Find the volume of a cylinder

• Solve quadratic equations

• Write a summary and update their table of contents

Tags

CCSS.RI.6.3

CCSS.RI.7.3

CCSS.RI.7.5

CCSS.RI.8.3

CCSS.RI.9-10.5