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

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.

Representing Linear Relationships using a table

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.

1 2 3 4 8 20 32 44

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 32/6 = 5.3 24/2 = 12 36/8 = 4.5 28/4 = 7

3 1 -1 -3

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

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

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

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

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.

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

-2 1 5 -15 3 2 -2 -3 9

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

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

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

HW: Lesson worksheets

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

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

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

Homework: Lesson worksheets

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.

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

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

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

(-1, 3)

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

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