1. Representing Linear Nonproportional Relationships
4.1
Representing Linear Nonproportional Relationships
How can you use tables, graphs, and equations to represent linear nonproportional situations?

2. Texas Essential Knowledge and Skills
The student is expected to:
Proportionality—8.5.B
Represent linear non-proportional situations with tables, graphs, and equations in the form of y = mx + b, where b ≠0.
Proportionality—8.5.F
Distinguish between proportional and non-proportional situations using tables, graphs, and equations in the form y = kx or y = mx + b, where b ≠ 0.
Mathematical Processes
8.1.D
Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate.

3. Representing Linear Relationships using a table

4. ADDITIONAL EXAMPLE 1
The equation y = 2x + 5 gives the total height, y, of a plant in an experiment that was 5 cm tall at the beginning of the experiment and grew 2 cm each day. Make a table of values for this situation.

5. 1 2 3 4 8 20 32 44

6. 24 28 32 36
Straight Line going up
4/2=2; 4/2=2; 4/2=2; 4/2=2.....yes the rate is constant ($2)
20/0 = error /6 = 5.3
24/2 = /8 = 4.5
28/4 = 7

7. 3 1 -1 -3

8. Homework (Group Work)
Complete the guided practice on page 92 (1-5)

9. Homework:
Worksheets 4-1
reteach
practice A/B
practice D
practice C

10. Lesson 4-2 Slope and y-intercept
Opener!!!
Pre teach with the slope formula.
Use Glencoe section 11-3 pages 24-25

11. 4 2 -2 3 -3 -3 -2 3
They are the same

12. The slope is the same as what is multiplied by the X.
4. (0,4) this is where the line intersects the y-axis
It is the same number that is added in the equation.

13. m = 5
b = 12
m = 7
b = 1
Do the work in the blank space on the white board.

14. -2 1 5
-15 3 2 -2 -3 9

15. 3 1 -4
140
HW: Complete section 4-2 worksheets

16. Lesson 4.3 Using Slope and y-intercept formula (101)

18. Same y-intercept but a different slope.
More because he is burning less calories per day.

22. HW: Lesson worksheets

23. 4.4 Proportional vs. Nonproportional
Using a Graph
Must go through the origin
NONproportional
Proportional

24. Must have nothing added or subtracted Must have two variables
Using an equation
Must have nothing added or subtracted
Must have two variables
Proportional
NONproportional
NONproportional
NONproportional

25. With your group complete the guided practice 1-7
Using a table
Must have a constant
With your group complete the guided practice 1-7
NONproportional
Proportional

27. Homework: Lesson worksheets

28. Substitute 2 in for X and -1 in for y and see if both sides are equal
Substitute 2 in for X and -1 in for y and see if both sides are equal. They are not equal.
Substitute 2 in for X and -1 in for y and see if both sides are equal. They are equal.

29. If the point is on the line it is a solution.1 1 1 1 1 1 1 1

30. Vocabulary System of Equations: 2 or more equations Solution:
An ordered pair that solves the equation
Solution of the system:
An ordered pair that solves both equations

31. Place both equations in your calculator and look to see where the lines meet.

32. (-1, 3)

33. Homework: Lesson Worksheets
(1, 3)
Skip the guided practice because they have to rewrite the equation into slope and y-intercept formula
Homework: Lesson Worksheets

34. Module 5 Review Practice Quiz B Pages 123-124 in the book
Administer the Module 5 Quiz C for the test!