Algebra I
1.0
2.0
4.0
3.0
5.0
Systems and Linear Equations and Inequalities
4.1
4.3
4.2
Line Graphing
4.31
4.11
4.12
4.21
4.22
Given a line equation,
graph the line on a
Cartesian Plane
4.32
Given a line on a Cartesian Plane, formulate the equation
of the line
4.311
Use
“Choose x,
find y” to
graph line
EO 1
EO2
EO3
4.321
4.312
Use slope intercept
formula to graph a
line
EO1
EO2
EO3
EO4
Assess slope
and y-intercept
to formulate
line equation
EO1
EO2
EO3
4.322
Given two points,
find the equation of
a line
EO1
EO2
EO3
EO4
4.323
4.234
Given one point and
a parallel line
formulate an
equation
Given one point and
a perpendicular line
formulate an
equation
EO1
EO2
EO3
EO4
EO1
EO2
EO3
EO4
6.0
7.0
8.0
9.0
Algebra I
3.0
2.0
1.0
Real
Numbers
and
Expressions
Equations
and
Inequalities
in One
Variable
Equations
and
Inequalities
in Two
Variables
and
Functions
9.0
4.0
Systems
and Linear
Equations
and
Inequalities
5.0
6.0
Polynomials
Factoring
7.0
8.0
Rational
Expressions
and
equations
Rational
Expressions
and
Equations
The year-long Algebra I course segmented into nine units.
Our focus is within Unit 4.0.
Rational
Exponents,
Radicals,
and
Complex
Numbers
4.0
Systems of Linear Equations and Inequalities
4.1
Describe how the
Cartesian Plane
represents twodimensional space
4.11
Designate the
x and y axes
on a Cartesian
Plane
4.12
Identify the
four quadrants
on the
Cartesian
Plane
4.2
4.3
Point Graphing
Line Graphing
4.22
4.21
Find location
of point given
a coordinate
pair
Name the
coordinate
pair for any
given point on
the Cartesian
Plane
4.31
Given a line
equation,
graph the line
on a Cartesian
Plane
4.32
Given a line on
a Cartesian
Plane,
formulate the
equation of
the line
Our line-graphing
standard for the focus
of instruction
Course
Unit
Three Major
Components
of Unit
4.3
Line Graphing
4.31
Given a line
equation, graph the
line on a Cartesian
Plane
4.32
Given a line on a Cartesian Plane,
formulate the equation of the line
4.321
4.311
4.312
Use
“Choose x,
find y” to
graph line
Use slope
intercept
formula to
graph a line
Assess slope
and yintercept to
formulate
line
equation
4.322
4.323
Given two
points, find
the
equation of
a line
Given one
point and a
parallel line
formulate
an equation
Our linegraphing
standard for
the focus of
instruction
4.234
Given one
point and a
perpendicul
ar line
formulate
an equation
Terminal
Objectives
4.311
Terminal Objective
(4, 4)
Use “Choose x, find y” to graph a
line.
Enabling Objective 1
Enabling Objective 2
Enabling Objective 3
Use substitution
to solve for one
variable.
Graph ordered
pairs on a
Cartesian plane.
Identify trends in
number functions.
y = -3x +8
x
y
1
2
3
4
5
2
1
4
(4, 4)
(2, 2)
(2, 2)
4.321
Terminal Objective
Assess slope and y-intercept to
formulate line equation.
Enabling Objective 1
Enabling Objective 2
State whether a
given line will have
a positive or
negative slope.
State the yintercept of a given
line.
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.”
Enabling Objective 3
Calculate slope
based on two points
along the line.
If y = mx + b , then
y = 4/3x - 4
4.321
Terminal Objective
Use slope-intercept formula to graph a
line.
Enabling Objective 1
Define slope.
Enabling Objective 2
Identify parts
of equation y =
mx + b.
y = mx + b m = -2
•Slope is the
measure of
steepness of a line
•Slope
y = -2x + 5 slope
b=5
y-intercept
Enabling Objective 3
Enabling Objective 4
Be able to find
y-intercept on
a graph of a
line.
Relate sign of
m to positive
or negative
slope.
Let x = 0
m < 0 = negative slope
m > 0 = positive slope
Terminal Objective
4.322
Given: (2, 3) and (6, 4)
So,
Given two points, find the
equation of the line.
Enabling Objective 2
Enabling Objective 1
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.
Enabling Objective 3
Identify the parts
of a line equation
that determine
characteristics of
the line.
Enabling Objective 4
Explain why x and
y variables are
part of line
equation.
Therefore,
y = 1/4 x + 5/2
(x + 3) ¾ = (y + 2)(x + 3)
(x + 3)
4(3x + 9) = (y + 2)4
4
y=¾x+¼
y –intercept = ¼
y=½x+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
Terminal Objective
Given one point and a parallel line, find the equation of a line.
Enabling Objective 1
State how slopes
of parallel lines
are related.
Enabling Objective 2
State that yintercepts of
parallel lines must
not be the same.
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.”
Enabling Objective 3
Explain what
makes two lines
dependent.
“These lines are
dependent
because their
points are on the
same line.”
Enabling Objective 4
Demonstrate that
two parallel lines
on a plane can
never intersect.
•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
4.324
Terminal Objective
Given one point and a perpendicular
line, find the equation of a line.
Enabling Objective 1
Find the slope of a
line when the slope
of a perpendicular
line has been given.
5x+4y-20=0
5x+4y=20
5x=20
x=4
4x+3y-12=0
3y=12-4x
y=4-4x/3
-4/3 is the slope of
the line.
Enabling Objective 2
Explain how slopes
of perpendicular
lines are related.
“The slope of a line
that is perpendicular
is the negative
reciprocal of the
slope.”
Enabling Objective 3
Demonstrate that
perpendicular lines
intersect at one
point.
Enabling Objective 4
Define
perpendicular.
“A line is
perpendicul
ar to
another if
they meet at
90 degrees.”
5x+4y-20=0
5x+4y=20
x intercept occurs
when y=0
5x=20
x=4
4 is the x intercept.
4x+3y-12=0
3y=12-4x
y=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
4.321
4.311
4.312
Use “Choose x, find
y” to graph line
Use slope intercept
formula to graph a line
EO1
EO2
EO3
EO1
EO2
EO3
EO4
4.322
Assess slope and yintercept to
formulate line
equation
Given two points, find the
equation of a line
EO1
EO1
EO2
EO3
EO2
EO3
EO4
4.323
4.234
Given one point and a
parallel line formulate an
equation
Given one point and a
perpendicular line
formulate an equation
EO1
Content Delivery
Formative
Assessment/
Analysis
Formative
Assessment/
Analysis
Formative
Assessment/
Analysis
• Access Prior Knowledge
• Introduce New Information
• Vocabulary
• Examples/ Demonstration
• Guided Practice
• Independent Practice
• Remediation/Enrichment
• Summative Assessment
EO2
EO3
EO4
EO1
EO2
EO3
EO4