Name:Date: Period:Topic: Rate of Change & SlopeEssential Question: What does the slope of the line indicate about line?

Warm-Up: (Brain teaser)

What is the difference between the two line of variables?

Home-Learning Review:

• Random\HLA1-2nd Grading Period.doc

Rate of Change

Define:

Time (x) Distance (y)

1 hour 70 miles

2 hours 140 miles

3 hours 210 miles

4 hours 280 miles

5 hours 350 miles

Time (x) Revenue(y)

January $20,000

February 25, 000

March 30, 000

April 35, 000

Calculate the rate of change for the Math Beach High Company

How do you obtain the rate change for this table of values?

How do you obtain the rate of change for the previous table of values?

Are there any similarities?

Imagine yourself...

What is the meaning of this sign?

A) icy road ahead

B) steep road ahead

C) curvy road ahead

D) trucks entering highway ahead

Slope is the steepness of a line. (vertical change over horizontal change).

It can also be defined as rise over run

Y2 – Y1

X2 – X1m =

Example

Given the ordered pairs (-2, -2) and (4, 1), find the slope of the line that passes

through these points.

Determine the slope of the line.

rise/run = 3/6 = 1/2

6

3

Graph the points

(-2, -2) and (4, 1) and apply “rise

over run”.

(5, 4) and (1, 1)Positive Slope

Negative Slope

(1, -1) and (5, -4)

Find the slope of the following points:

(0, -1) and (-2, -1)

Horizontal or

Zero Slope

(-2, -3) and (-2, 3)Vertical

or Undefined Slope

Find the slope by counting units and by using the slope formula:

Independent Practice:

Page 295 (2 – 7 Skip # 5)

How would you determine the slope by the Book?

Hand-out

36.

37.

EOC Practice

38.

39.

EOC Practice

Wrap-Up:

• Summary

• Assigned HLA#2

Page 296-298

(12, 14, 16, 18, 20, 24, 43, 44, 59, 66)

• Vocabulary Review