1. MS Algebra A-S-ID-7 – Ch. 5.5a Find Slope Given Two Points
ALGEBRA SUPPORT Day 1 of 2
Find Slope and Rate of Change

2. SUPPORT Class Learning Target
Title: 5.5a Find Slope Given Two Points Day 1 of 2
Date:
SUPPORT Class Learning Target
By the end of the period, I will find the slope of various linear equations and graphs when given two points.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.
Teacher Note: Graph paper helpful for this lesson.

3. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 5.5 Pg ) Section ______
TxtBk. Prob.#5-17 Odd Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

4. m= = = (-3, 2) and (-3, -2) - - x y Find a slope of a VERTICAL line
HW # 5
Find a slope of a VERTICAL line
STEP 1)
You need two (2) points to find the slope:
(-3, 2) and (-3, -2)
(-3, 2)
STEP 2)
Make a table of points x y
(-3, -2)
STEP 3)
Find the difference
Find the difference
STEP 4)
Make a fraction with the values from STEP 3. - - m= = =
 denominator
 numerator

5. HW # 7
Describe and correct the error in calculating the slope of the line shown
You need two (2) points to find the slope:
(6, 3) and (12, 0) 6 -3
12 - 6
0 - 3 m= =
= -2
The error in the calculating the
slope happens when ___________
___________________________.
(6, 3)
(12, 0)
I can correct the error by ______________________________________
__________________________________________________________.

6. HW # 9
Find the slope of the line that passes through the points.
STEP 1)
You need two (2) points to find the slope:
(-3, -2) and (-3, 6)
STEP 2)
Make a table of points x y
STEP 3)
Find the difference
Find the difference
STEP 4)
Make a fraction with the values from STEP 3. - - m= = =
 denominator
 numerator

7. HW # 11
Find the slope of the line that passes through the points.
STEP 1)
You need two (2) points to find the slope:
(1, 3) and (3, -2)
STEP 2)
Make a table of points x y
STEP 3)
Find the difference
Find the difference
STEP 4)
Make a fraction with the values from STEP 3. - - m= = =
 denominator
 numerator

8. HW # 13
Find the slope of the line that passes through the points.
STEP 1)
You need two (2) points to find the slope:
(1, -3) and (7, 3)
STEP 2)
Make a table of points x y
STEP 3)
Find the difference
Find the difference
STEP 4)
Make a fraction with the values from STEP 3. - - m= = =
 denominator
 numerator

9. HW # 15
Find the slope of the line that passes through the points.
STEP 1)
You need two (2) points to find the slope:
(-9, 1) and (1, 1)
STEP 2)
Make a table of points x y
STEP 3)
Find the difference
Find the difference
STEP 4)
Make a fraction with the values from STEP 3. - - m= = =
 denominator
 numerator

10. Storm Check (Think, Write, Discuss, Report)
What are the four types of slope?
The four types of slope are:
___________________ 2) ________________
3) _________________ 4) ________________

11. Storm Check (Think, Write, Discuss, Report)
What are the four types of slope?
The four types of slope are:
Positive ) Negative
3) Zero (horizontal) ) Undefined (vertical)

12. HW # 17
The slope of the line that passes through the two points is _____________________.
STEP 1)
You need two (2) points to find the slope:
(-2, -3) and (8, -3)
STEP 2)
Make a table of points x y
Positive b) Negative
c) Zero d) Undefined
STEP 3)
Find the difference
Find the difference
STEP 4)
Make a fraction with the values from STEP 3. - - m= = =
 denominator
 numerator

13. Vocabulary – Rate of Change
Slope
Rise
Run
Slope-Intercept Form
Point-Slope Form

14. Vocabulary Acquisition
Friendly Definition
Sketch
Wordwork
Sentence
DAY 2
1. Review word
Friendly Definition
Physical Representation
2. Draw a sketch
DAY 1
Use Visuals
Introduce the word
Friendly Definition
Physical Representation
Use Cognates
Write friendly definition
Word List
Vocabulary Acquisition
DAY 3 and/or DAY 4
1. Review the word
Friendly Definition
Physical Representation
2. Show how the word works
Synonyms/antonym
Word Problems
Related words/phrases
Example/non-example
DAY 5
1. Review the word
Friendly definition
Physical Representation
3. Write a sentence
at least 2 rich words (1 action)
correct spelling
correct punctuation
correct subject/predicate agreement
clear and clean writing

15. SUPPORT Class Learning Target
Title: 5.5a Find Slope Given Two Points Day 1 of 2
Date:
SUPPORT Class Learning Target
By the end of the period, I will find the slope of various linear equations and graphs when given two points.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.
Teacher Note: Graph paper helpful for this lesson.

16. y = mx + b Finding SLOPE of a Linear Equation m = - x1 - y1 y2 – y1
Notes:
Finding SLOPE of a Linear Equation
y = mx + b
m = slope = rise/run = change in y / change in x
b = y-intercept = where graph crosses y-axis
x = independent variable, y = dependent variable
STEP 1)
You need two (2) points to find the slope:
(x1, y1) and (x2, y2)
STEP 2)
Make a table of points x y x2 y2 x1 y1
STEP 3)
Find the difference
Find the difference
STEP 4)
Make a fraction with the values from STEP 3. x2
- x1 y2
- y1
y2 – y1
x2 – x1
m =
 denominator
 numerator

17. y = mx + b 3 m = 1 Finding SLOPE of a Linear Equation = 1 = 3 2 5 1
Example:
Finding SLOPE of a Linear Equation
y = mx + b
m = slope = rise/run = change in y / change in x
b = y-intercept = where graph crosses y-axis
x = independent variable, y = dependent variable
STEP 1)
You need two (2) points to find the slope:
(1, 2) and (2, 5)
STEP 2)
Make a table of points x y 2 5 1
STEP 3)
Find the difference
Find the difference
STEP 4)
Make a fraction with the values from STEP 3. 2
- 1 5
- 2 3 1
m =
= 1
= 3
 denominator
 numerator

18. Storm Check (Think, Write, Discuss, Report)
How do you find the slope for a given linear equation? (3 or 4 sentences)
To find the slope for a given linear equation, I
have to ________________________________
___________________________________________
__________________________________________.