1. Good Afternoon! Please take out your homework from last night grab a handout and complete it. We will go over it as a class 

2. By the end of the lesson, you will be able to: 8. F. B
By the end of the lesson, you will be able to: 8.F.B.4 determine if the relationship between two quantities are linear

3. What’s the Difference? Linear Function Non-Linear function
Any function that forms a straight line
Examples:
30 miles per hour
Also called:
Line
Constant rate of change
Any function that does not form a straight line
Also called:
Curve
Parabola
Different rates of change

4. Examples
Linear Function
Non-Linear
function

5. Example 1: Determine if the function is linear

6. Example 2: Determine if the function is linear

7. Example 3: Determine if the function is linear

8. Example 4: Determine if the function is linear

9. Practice in Groups!
Please do the following examples in groups of two or three. Write next to it if the function is linear or not. If it is linear, determine the constant rate of change.

10. Example 5: Determine if the function is linear

11. Example 6: Given the table of values, graph the line and determine if the function is linear

12. Word Problem Example
Jana started doing research about rollercoasters. Jana wonders whether or not the speed of the rollercoaster is connected to the height or the length of the rollercoaster, but she thinks that the speed of the roller-coaster is a function of the height. Here is what she discovers:

13. Word Problem (cont.) Is it linear? Why or why not? Name Height Speed
Timber Terror Roller-coaster
80 feet
50 mph
Kingda Ka Roller-coaster
450 feet
125 mph
Top Thrill Dragster Roller-coaster
400 feet
100 mph

14. Game Time!
In groups of three to four, I will show you the next ten slides and as a group, you will tell me if the function is linear or non-linear. If it is linear, tell me the rate of change.

15. Question 1
Determine if the graph of the points on the table are linear or non-linear. If linear, state the rate of change.

16. Question 2
Determine if the graph of the points on the table are linear or non-linear. If linear, state the rate of change.

17. Question 3
Determine if the graph of the points on the table are linear or non-linear. If linear, state the rate of change.

18. Question 4
The following graph is linear: true or false?

19. Question 5
Graph the function: is it linear?

20. Question 6
The following graph is a linear equation: true or false?

21. Question 7
Graph the function: is it linear?

22. Question 8
Graph the function: is it linear?

23. Question 9
The following graph is linear: true or false?

24. Question 10
Graph the function: is it linear? -4 -4

25. Please complete the exit slip before the bell rings 
Exit Skip and Homework
Please complete the exit slip before the bell rings 
Homework: Worksheet