LESSON

How can you use tables, graphs, and equations to represent linear nonproportional situations?

Representing Linear Nonproportional Relationships4.1

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.

8.1.D

Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate.

Mathematical Processes

Representing Linear Relationships using a table

ADDITIONAL EXAMPLE 1The 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

8 20 32 44432

24 363228

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 = 5.324/2 = 12 36/8 = 4.528/4 = 7

3 1 -1 -3

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

Homework:Worksheets 4-1

reteachpractice A/Bpractice Dpractice C

Homework:Worksheets 4-1

reteachpractice A/Bpractice Dpractice C

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

4

They are the same

-2 3-3-3

2

-2 3

The slope is the same as what is multiplied by the X.

It is the same number that is added in the equation.

4. (0,4) this is where the line intersects the y-axis

m = 5 b = 1b = 12 m = 7

-2 -151 5

32 -2 -3 9

3 140-41

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. NonproportionalUsing a Graph Must go through the origin

NONproportional Proportional

Using an equation•Must have nothing added or subtracted•Must have two variables

NONproportional

NONproportionalNONproportional

Proportional

Using a table•Must have a constant

NONproportional Proportional

With your group complete the guided practice 1-7

Homework: Lesson worksheets

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

11

VocabularySystem of Equations:

2 or more equationsSolution:

An ordered pair that solves the equationSolution 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)

(1, 3)

Homework: Lesson Worksheets

Module 5 Review

1.Practice Quiz B2.Pages 123-124 in the book