ms algebra a-f-if-4 & 7 ch. 5
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MS Algebra A-F-IF-4 & 7 – Ch. 5.3Graphing Functions in Standard Form
ALGEBRA SUPPORT
Graph Functions in Standard Form
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.
SUPPORT Class Learning Target
Title: 5.3 Graphing Functions in Standard Form Date:
Teacher Note: Graph paper helpful for this lesson.
Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 5.3 Pg. 268-269 3) Section ______
TxtBk. Prob.#17,21,29,50-52 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of ContentsDate Description Date Due
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 xB = Coefficient of yC = Constant
Solve for y
Slope-Intercept Form of a Linear Equation
m = slopeb = y-intercept
HOMEWORK #17
Graph the equation:
y + 4x = 1Step 1) Solve for yStep 2) Table of PointsStep 3) Graph Points
x y
-2
-1
0
1
2
HW # 21
Graph the equation:
3x + 2y = 8Step 1) Solve for yStep 2) Table of PointsStep 3) Graph Points
x y
-2
-1
0
1
2
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
___________________________________________
__________________________________________.
Determine whether a point lies on a lineHW # 29 (Check solutions of an equation)
CHALLENGE!!Check solutions of an equation
Line: 4x – 3y = 0
Point: (4, 3) Is Point (7, 11) a solution?
Line: -2x + y = -3
Tell whether the point lies on the line.
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
___________________________________________
__________________________________________.
HOMEWORKTell whether the problem specifies the domain or range of the function.
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 = 500 + 10T where T is the time (in years) since the account was opened. The account has been open for 4 years.
Domain RangeDomain Range
HOMEWORKTell whether the problem specifies the domain or range of the function.
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
Challenge!!TRAVEL
After visiting relatives who live
200 miles away, your family drives
home at an average speed of 50miles per hour. Your distance D (in miles) from home is given by:
D = 200 – 50T where T is the
time (in hours) spent driving.
A) Graph the function and identify its domain and range.
B) What is your distance from home after driving
1.5 hours?
T 0 1 2 3 4
D
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.
SUPPORT Class Learning Target
Title: 5.3 Graphing Functions in Standard Form Date:
Teacher Note: Graph paper helpful for this lesson.
1) Standard Form
2) Slope-Intercept Form
3) X-Intercept (X, 0)
4) Y-Intercept (0, Y)
5) Point-Slope Form
Vocabulary – Linear Equation
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
Friendly DefinitionSketch
Wordwork Sentence
DAY 2
1. Review word
Friendly Definition
Physical Representation
2. Draw a sketch
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
DAY 1
1. Use Visuals
2. Introduce the word
Friendly Definition
Physical Representation
3. Use Cognates
4. Write friendly definition
5. Physical Representation
Word List1.2.3.4.
Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 5.3 Pg. 268-269 3) Section ______
TxtBk. Prob.#17,21,29,50-52 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of ContentsDate Description Date Due
Ticket OUT. Graph the function
-6x -2y = -12
x y
-2
-1
0
1
2
Step 1) Solve for yStep 2) Table of PointsStep 3) Graph Points
Ticket OUT. Graph the function
-6x -2y = -12+6x +6x
-2y = 6x – 12-2 -2 -2
y = -3x + 6
Step 1) Solve for yStep 2) Table of PointsStep 3) Graph PointsANSWER
x y
-2 12
-1 9
0 6
1 3
2 0
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