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

2. SUPPORT Class Learning Target
Title: 5.3 Graphing Functions in Standard Form
Date:
SUPPORT Class 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. 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

5. y + 4x = 1 Step 1) Solve for y Step 2) Table of Points
HOMEWORK #17
Graph the equation:
y + 4x = 1
Step 1) Solve for y
Step 2) Table of Points
Step 3) Graph Points x y -2 -1 1 2

6. 3x + 2y = 8 Step 1) Solve for y Step 2) Table of Points
HW # 21
Graph the equation:
3x + 2y = 8
Step 1) Solve for y
Step 2) Table of Points
Step 3) Graph Points x y -2 -1 1 2

7. 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
___________________________________________
__________________________________________.

8. Line: 4x – 3y = 0 Line: -2x + y = -3 Point: (4, 3)
Determine whether a point lies on a line
HW # 29
(Check solutions of an equation)
Tell whether the point lies on the line.
CHALLENGE!!
Check solutions of an equation
Point: (4, 3)
Is Point (7, 11) a solution?
Line: 4x – 3y = 0
Line: -2x + y = -3

9. 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
___________________________________________
__________________________________________.

10. Tell whether the problem specifies the domain or range of the function.
HOMEWORK
50) The cooking time T (in hours) for a roast is given by the function T = 0.5W where W is the weight (in pounds) of the roast. The roast cooks for 3 hours.
51) The amount A (in dollars) of money in an account is given by the function:
A = T where T is the time (in years) since the account was opened. The account has been open for 4 years.
Domain
Range
Domain
Range

11. Tell whether the problem specifies the domain or range of the function.
HOMEWORK
52) You travel in a canoe at a rate of 4 miles per hour. Your distance D (in miles) traveled is given by D = 4T where T is the time (in hours) spent canoeing. You travel a total of 15 miles.
Domain
Range

12. D = 200 – 50T where T is the time (in hours) spent driving.
TRAVEL T 1 2 3 4 D
Challenge!!
After visiting relatives who live 200 miles away, your family drives home at an average speed of 50 miles per hour. Your distance D (in miles) from home is given by:
D = 200 – 50T where T is the time (in hours) spent driving.
Graph the function and identify its domain and range.
What is your distance from home after driving 1.5 hours?

13. SUPPORT Class Learning Target
Title: 5.3 Graphing Functions in Standard Form
Date:
SUPPORT Class 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.

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

15. 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

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. 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.

18. 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.