Nonproportional Relationships

Nonproportional Relationships

​Workplan

• Routines

• Big Ideas & Enduring Understanding

• Pre-Activity

• Discussion

• Seatwork

• Wrap-Up

​Big Idea:

"In a linear function of the form   y=ax, a is the constant of variation and it represents the rate of change of y with respect to x."

​Enduring Understanding:

"How do you represent linear non-proportional relationships?"

Multiple Choice

Which of these represents slope-intercept form?

• y - y₁ = m(x-x₁)
• Ax + By = C
• y = mx + b
• A²+B²=C²

Multiple Choice

What is the slope in the equation y=2x + 3?

• 2
• 3
• 5
• Cannot be Determined 

Multiple Choice

What is the y-intercept in the equation y= -2x + 5

• -2
• 3
• 5
• Cannot be Determined

Multiple Choice

What does "m" represent in y=mx+b?

• y-intercept
• slope
• macaroni
• nothing

Multiple Choice

What is the slope of the line represented by the equation y = 7 - x?

• 7
• 0
• 1
• -1

​Representing Linear Relationships

Multiple Choice

3.

• A

• B

• C

• D

Multiple Choice

1. How can you tell from a table of values if a relationship is proportional?

• In the table, every ratio $$\frac{y}{x}$$ is equal so the relationship is proportional.

• In the able, every ratio $$\frac{y}{x}$$ is not equal so the relationship is proportional.

• the line goes through (0,1)

Multiple Choice

2. How can you tell from a graph if a relationship is proportional?

• the line goes through the origin

• the does not go through the origin

Multiple Choice

Which relationship is nonproportional.

Open Ended

  How do you represent linear non-proportional relationships?

​Wrap- Up

  Linear equations can be written in the form y = mx + b. When b ≠ 0, the relationship between x and y is nonproportional.