1. MS Algebra A-F-IF-4 & 7 – Ch. 5.3 Graphing Functions in Standard Form
Mr. Deyo
Graph Functions in Standard Form

2. Title: 5.3 Graphing Functions in Standard Form
Date:
Learning Target
By the end of the period, I will graph a linear equation or function in standard form with a domain { x } and a range { f(x) }.
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 5.3 Pg ) Section ______
TxtBk. Prob.#17,21,29,50-52 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

4. Storm Check (Think, Write, Discuss, Report) Questions on which to ponder and answer:
How are the two images similar?
How are they different?
How can these two images be related to math?
IMAGE 1
IMAGE 2

5. Daily Warm-Up Exercises
For use with pages xxx–xxx
Graph y = -x – 2 with domain -2, -1, 0, 1, 2 x y

6. Daily Warm-Up Exercises
ANSWER
For use with pages xxx–xxx
Graph y = -x – 2 with domain -2, -1, 0, 1, 2 x y -2 -1 1 -3 2 -4

7. Vocabulary – Linear Equation
Standard Form
Slope-Intercept Form
X-Intercept (X, 0)
Y-Intercept (0, Y)
Point-Slope Form

8. 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

9. Ax + By = C Solve for y -Ax -Ax By = -Ax + C y = (-A/B)x + C/B
Notes:
Standard Form of a Linear Equation
Ax + By = C
-Ax -Ax
By = -Ax + C
B B B
y = (-A/B)x + C/B
y = mx + b
A = Coefficient of x
B = Coefficient of y
C = Constant
Solve for y
m = slope
b = y-intercept
Slope-Intercept Form of a Linear Equation

10. y + 3x = -2 Step 1) Solve for y Step 2) Table of Points
Problem A
Graph the equation:
y + 3x = -2
Step 1) Solve for y
Step 2) Table of Points
Step 3) Graph Points x y -2 -1 1 2

11. y + 3x = -2 x y -2 4 -1 1 -5 2 -8 Step 2) Table of Points
Problem A
ANSWER
Graph the equation:
y + 3x = -2
Step 2) Table of Points
Step 1) Solve for y x y -2 4 -1 1 -5 2 -8
Step 3) Graph Points
y + 3x =
- 3x -3x
y = -3x -2

12. -2x + y = -3 Step 1) Solve for y Step 2) Table of Points
Problem B
Graph the equation:
-2x + y = -3
Step 1) Solve for y
Step 2) Table of Points
Step 3) Graph Points x y -2 -1 1 2

13. -2x + y = -3 x y -2 -7 -1 -5 -3 1 2 Graph the equation: -2x + y = -3
Problem B
ANSWER
Graph the equation:
-2x + y = -3
Step 1)
Step 2)
Step 3) x y -2 -7 -1 -5 -3 1 2
-2x + y =
+2x x
y = 2x - 3

14. Storm Check (Think, Write, Discuss, Report)
To change from Standard Form to Slope-Intercept Form, what do you have to do?
To change from Standard Form to Slope-
Intercept Form, I have to
___________________________________________
__________________________________________.

15. Title: 5.3 Graphing Functions in Standard Form
Date:
Learning Target
By the end of the period, I will graph a linear equation or function in standard form with a domain { x } and a range { f(x) }.
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. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 5.3 Pg ) Section ______
TxtBk. Prob.#17,21,29,50-52 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

17. Line: -2x + y = -3 Line: -2x + y = -3 Point: (4, 7)
Determine whether a point lies on a line
Problem A
(Check solutions of an equation)
Tell whether the point lies on the line.
Check solutions of an equation
Point: (4, 7)
Is Point (7, 11) a solution?
Line: -2x + y = -3
Line: -2x + y = -3

18. Line: -2x + y = -3 Line: -2x + y = -3 Point: (4, 7)
Determine whether a point lies on a line
Problem A
(Check solutions of an equation)
SOLUTION
Tell whether the point lies on the line.
Check solutions of an equation
Point: (4, 7)
Is Point (7, 11) a solution?
Line: -2x + y = -3
Line: -2x + y = -3
The point (4, 7) is NOT a solution because it does NOT lie on the line since
-2(4) + 7 ? -3
? -3
-1 ≠ -3
The point (7, 11) IS a solution because it does lie on the line since
-2(7) + 11 ? -3
? -3
-3 = -3

19. Line: 3x – y = 7 Line: 3x – y = 7 Point: (1, -4)
Determine whether a point lies on a line
Problem B
(Check solutions of an equation)
Tell whether the point lies on the line.
Check solutions of an equation
Point: (1, -4)
Is Point (-1,-2) a solution?
Line: 3x – y = 7
Line: 3x – y = 7

20. Line: 3x – y = 7 Line: 3x – y = 7 Point: (1, -4)
Determine whether a point lies on a line
Problem B
(Check solutions of an equation)
SOLUTION
Tell whether the point lies on the line.
Check solutions of an equation
Point: (1, -4)
Is Point (-1,-2) a solution?
Line: 3x – y = 7
Line: 3x – y = 7
The point (1, -4) IS a solution because it does lie on the line since
3(1) – (-4) ? 7
3 + 4 ? 7
7 = 7
The point (-1, -2) IS NOT a solution because it does NOT lie on the line since (-1) – (-2) ? 7
? 7
-1 ≠ 7

21. Storm Check (Think, Write, Discuss, Report)
How do you check of a given ordered pair is a solution for a given linear equation?
To check if a given ordered pair (point) is a solution for a given linear equation, I have to
___________________________________________
__________________________________________.

22. Title: 5.3 Graphing Functions in Standard Form
Date:
Learning Target
By the end of the period, I will graph a linear equation or function in standard form with a domain { x } and a range { f(x) }.
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.

23. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 5.3 Pg ) Section ______
TxtBk. Prob.#17,21,29,50-52 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

24. Graph the function -6x -2y = -12 x y -2 -1 1 2 Ticket OUT.
Step 1) Solve for y
Step 2) Table of Points
Step 3) Graph Points x y -2 -1 1 2
Turn to your partner and share your answer. Please use correct answer.
Partner B, please share what Partner A told you.

25. y = -3x + 6 Graph the function -6x -2y = -12 +6x +6x -2y = 6x – 12 x y
y = -3x + 6
Ticket OUT.
Step 1) Solve for y
Step 2) Table of Points
ANSWER
Step 3) Graph Points x y -2 12 -1 9 6 1 3 2
Turn to your partner and share your answer. Please use correct answer.
Partner B, please share what Partner A told you.