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