Unit Concept Map
Grade Level: 8th Grade Pre-Algebra
Course Essential Question:
Subject: Mathematics
Unit Topic:
Unit 9: Introduction to Algebra 1
Unit Essential Question:
Part A: How are linear equations written, solved, and graphed using different forms?
Part B: How are compound inequalities represented graphically and symbolically?
Part C: How are systems of linear inequalities written, solved, and graphed?
PA Standards/Anchors(Assessment Anchor/Eligible Content)
Part A
Assessment Anchor: M08.A-N.1 Demonstrate an understanding of rational and irrational
A1.1.2.1 Write, solve, and/or graph linear equations using various methods.
Part B
Assessment Anchor: M08.
A1.1.3.1 Write, solve, and/or graph linear inequalities using various methods.
Part C
Assessment Anchor: M08.
A1.1.3.2 Write, solve, and/or graph systems of linear inequalities using various methods
(limit systems to two linear inequalities).
Concepts: By the end of the unit, students will:
 Part A: Associate graphs of lines with different forms of equations
 Part B: Understand the difference between “and” and “or”
compound inequalities
 Part C: Relate graphs of linear equations and inequalities
 Part C: Understand how to determine the solution area of a system
of inequalities
Skills: By the end of the unit, students will:
 Part A: Write, solve, and/or graph linear equations using various
methods
 Part A: Convert linear equations between different forms (slopeintercept, standard, point-slope)
 Part B: Write and/or solve compound inequalities and graph their
solutions sets on a number line
 Part C: Graph linear inequalities
 Part C: Graph systems of linear inequalities
 Part C: Determine if a point is a solution to a system of linear
inequalities
Vocabulary
Part A
Slope-Intercept Form
Standard Form
Point-Slope Form
Part B
Compound Inequality
And/Or
Union/Intersection
Null Set
Open/Closed Interval
Part C
Linear Inequality
System of Linear
Inequalities
Solution Area
Linear Programming
**Some of the vocabulary
terms may already be known
to students but are still
prudent to review**
Formative Assessments
Summative Assessment
Resources
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Daily exit tickets
(focused after each
lesson and can also
be spiraled to
include the previous
day’s content)
Give students a
system to solve and
have them explain
their reasoning for
choosing the
method that they
did
End of class quizzes


Summative Assessment Part A:
o Demonstrate understanding and
ability to use all three different
forms of linear equations
Summative Assessment Part B:
o Demonstrate ability to write and
graph single variable compound
inequalities
Summative Assessment Part C:
o Demonstrate ability to write and
graph systems of linear inequalities
and determine solution sets
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
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Prentice Hall
Mathematics PreAlgebra
Prentice Hall
Mathematics Algebra
1
Study Island
Calculators
Suggest Unit Lessons:
 Part A: Slope-intercept Form
 Part A: Standard Form
 Part A: Point-slope Form
 Part A: Conversion between forms
 Part B: Graph linear inequalities (1-variable)
 Part B: Compound inequalities (1-variable)
 Part C: Graphing Linear Inequalities (2-variable)
 Part C: Graphing Systems of Linear Inequalities (2-variable)
 Part C: Linear Programming
Key Lesson Questions:
Part A-1 How are linear equations in slope-intercept form written, solved, and graphed?
Part A-2 How are linear equations in standard form written, solved, and graphed?
Part A-3 How are linear equations in point-slope form written, solved, and graphed?
Part A-4 How are linear equations represented in different forms?
Part B-1 How are single variable linear inequalities written and graphed on a number line?
Part B-2 How are compound inequalities represented graphically?
Part C-1 How are two-variable linear inequalities graphed?
Part C-2 How is a coordinate pair tested for compatibility with a solution set of a linear inequality
(algebraically and graphically)?
Part C-3 How is a coordinate pair tested for compatibility with a solution set of a system of linear
inequalities (algebraically and graphically)?