Algebra I

1.0 2.0 3.04.0

Systems and Linear Equations and Inequalities

4.1

4.11 4.12

4.2

4.21 4.22

4.3 Line Graphing

4.31Given a line equation,

graph the line on a Cartesian Plane

4.311

Use “Choose x, find y” to graph line

EO 1 EO2 EO3

4.312Use slope intercept

formula to graph a line

EO1 EO2 EO3 EO4

4.32Given a line on a Cartesian Plane, formulate the equation

of the line

4.321Assess slope

and y-intercept to formulate line equation

EO1 EO2 EO3

4.322Given two points, find the equation of a line

EO1 EO2 EO3 EO4

4.323Given one point and a parallel line formulate

an equation

EO1 EO2 EO3 EO4

4.234Given one point and a

perpendicular line formulate an equation

EO1 EO2 EO3 EO4

5.0 6.0 7.0 8.0 9.0

Algebra I

1.0Real

Numbers and

Expressions

2.0Equations

and Inequalities

in One Variable

3.0Equations

and Inequalities

in Two Variables

and Functions

4.0Systems and

Linear Equations

and Inequalities

5.0Polynomials

6.0Factoring

7.0Rational

Expressions and

equations

8.0Rational

Expressions and

Equations

9.0Rational

Exponents, Radicals, and

Complex Numbers

The year-long Algebra I course segmented into nine units. Our focus is within Unit 4.0.

4.0 Systems of Linear Equations and Inequalities

4.1Describe how the Cartesian Plane represents two-

dimensional space

4.11Designate the x and y axes on a Cartesian Plane

4.12Identify the

four quadrants on the

Cartesian Plane

4.2Point Graphing

4.21Find location of

point given a coordinate pair

4.22Name the

coordinate pair for any given point on the

Cartesian Plane

4.3 Line Graphing

4.31Given a line

equation, graph the line on a

Cartesian Plane

4.32Given a line on

a Cartesian Plane,

formulate the equation of the

line

Course Unit

Three Major Components

of Unit

Our line-graphing standard for the focus

of instruction

4.3Line Graphing

4.31Given a line

equation, graph the line on a Cartesian

Plane

4.311Use “Choose x, find y” to graph line

4.312Use slope intercept

formula to graph a line

4.32Given a line on a Cartesian Plane, formulate

the equation of the line

4.321Assess slope

and y-intercept to formulate

line equation

4.322Given two points, find

the equation of a line

4.323Given one

point and a parallel line

formulate an equation

4.234Given one

point and a perpendicula

r line formulate an

equation

Terminal Objectives

Our line-graphing

standard for the focus of

instruction

4.311 Use “Choose x, find y” to graph a

line.

Use substitution to solve for one

variable.

Graph ordered pairs on a Cartesian

plane.

Identify trends in number functions.

Enabling Objective 1 Enabling Objective 2 Enabling Objective 3

y = -3x +8

(2, 2)

(4, 4)

x y

1 2 3 4

5 2 1 4

(2, 2)

(4, 4)

Terminal Objective

4.321 Assess slope and y-intercept to

formulate line equation.

State whether a given line will have a

positive or negative slope.

State the y-intercept of a given line.

Calculate slope based on two points along

the line.

Terminal Objective

Enabling Objective 1 Enabling Objective 2 Enabling Objective 3

y = -2x + 5

“-2 (m) is the slope of this line equation. When m < 0 the slope is negative. Therefore, this line has a negative slope.”

If y = mx + b , then y = 4/3x - 4

4.321

Use slope-intercept formula to graph a line.

Define slope.Identify parts of equation y = mx

+ b.

Be able to find y-intercept on a graph of a line.

Relate sign of m to positive or

negative slope.

Terminal Objective

Enabling Objective 1 Enabling Objective 2 Enabling Objective 3 Enabling Objective 4

y = mx + b m = -2 b = 5

y = -2x + 5 slope y-intercept•Slope is the measure of steepness of a line•Slope

Let x = 0 m < 0 = negative slope

m > 0 = positive slope

4.322 Given two points, find the

equation of the line.

Calculate the slope of the line that

connects the given points.

Substitute the coordinates of one

point into equation, then

solve to find the y-intercept.

Identify the parts of a line equation

that determine characteristics of

the line.

Explain why x and y variables are part of line equation.

Terminal Objective

Enabling Objective 1 Enabling Objective 2 Enabling Objective 3 Enabling Objective 4

Given: (2, 3) and (6, 4)

So,

y = 1/4 x + 5/2

Therefore,

(x + 3) ¾ = (y + 2)(x + 3)

(x + 3)

4(3x + 9) = (y + 2)4

4

y = ¾ x + ¼ y –intercept = ¼

y = ½ x + 5 and y = 2x - 5

“The slopes are not the same so the lines are not parallel. Both lines have unknown x and y values because the lines are infinite.”

4.323 Given one point and a parallel line, find the equation of a line.

State how slopes of parallel lines are

related.

State that y-intercepts of

parallel lines must not be the same.

Explain what makes two lines

dependent.

Demonstrate that two parallel lines

on a plane can never intersect.

Terminal Objective

Enabling Objective 1 Enabling Objective 2 Enabling Objective 3 Enabling Objective 4

y = 2x – 5 and y = 2x + 4“ The slopes are the same so the lines are

parallel. The y-intercepts are different otherwise the lines would be the same

line.”

•I see that the slopes of the parallel lines is -1• My two points are (-2, 2)•I can find the y-intercept as 2= (-1)(-2) +b = 0•Therefore y = -x + 0

“These lines are dependent because their points are on the same line.”

4.324 Given one point and a perpendicular

line, find the equation of a line.

Find the slope of a line when the slope of a perpendicular

line has been given.

Explain how slopes of perpendicular lines are related.

Demonstrate that perpendicular lines

intersect at one point.

Define perpendicular.

Terminal Objective

Enabling Objective 4Enabling Objective 3Enabling Objective 2Enabling Objective 1

“A line is perpendicular to another if they meet at 90 degrees.”

5x+4y-20=0 5x+4y=20x intercept occurs when y=05x=20x=44 is the x intercept.4x+3y-12=03y=12-4xy=4-4x/3-4/3 is the slope of the line.The slope of a line that is perpendicular is the negative reciprocal of the slope which in this case is 3/4

“The slope of a line that is perpendicular

is the negative reciprocal of the

slope.”

5x+4y-20=0 5x+4y=205x=20x=44x+3y-12=03y=12-4xy=4-4x/3-4/3 is the slope of the line.

4.311Use “Choose x, find

y” to graph line

EO1 EO2 EO3

4.312Use slope intercept formula

to graph a line

EO1 EO2 EO3 EO4

4.321Assess slope and y-

intercept to formulate line

equation

EO1 EO2 EO3

4.322Given two points, find the

equation of a line

EO1 EO2 EO3 EO4

4.323Given one point and a

parallel line formulate an equation

EO1 EO2 EO3 EO4

4.234Given one point and a

perpendicular line formulate an equation

EO1 EO2 EO3 EO4

Content DeliveryFormative Assessmen

t/ Analy

sis

•Access Prior Knowledge

•Introduce New Information

•Vocabulary

Formative Assessmen

t/Analy

sis

•Examples/ Demonstration

•Guided Practice

•Independent Practice

Formative Assessmen

t/Analy

sis

•Remediation/Enrichment

•Summative Assessment