Unit Concept Map
Grade Level: 9th Grade Algebra
Subject: Mathematics
Unit Topic:
Linear Algebra in One Variable
Unit Essential Question:
How are single variable linear equations simplified and solved using multiple representations?
PA Standards/Anchors(Assessment Anchor/Eligible Content)
Assessment Anchor: M08.A-N.1 Demonstrate an understanding of rational and irrational
A1.1.1.1
Represent and/or use numbers in equivalent forms (e.g., integers, fractions, decimals,
percents, square roots, and exponents)
A1.1.1.5
Simplify expressions involving polynomials
A1.1.2.1
Write, solve, and/or graph linear equations using various methods
Concepts: By the end of the unit, students will:
 Know how to use algebraic properties to simplify, solve, and graph
numerical and linear algebraic expressions.
 Understand how real numbers are classified and ordered.
 Translate real-world word problems into mathematical expressions
that can be manipulated and solved.
Skills: By the end of the unit, students will:
 Simplify numerical expressions.
 Classify and compare real numbers.
 Simplify linear expressions using properties of algebra.
 Solve single variable equations.
 Graph single variable equations.
 Model real-world problems using linear equations and graphs.
Vocabulary
Order of Operations
Numerical Expression
Real Number
Rational Number
Irrational Number
Integer
Variable Expression
Coefficient
Variable
Constant
Like Terms
Distributive Property
Inverse Operations
Opposite
Reciprocal
Identity
Solution
Inclusive
**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/entrance
tickets (focused
after each lesson
and can also be
spiraled to include
the previous day’s
content)
End of class quizzes

Summative Assessment #1:
o 10-question multiple choice Nspire
quizzes at the end of lessons 3 and 5
Summative Assessment #2:
o End of quarter exam
Suggest Unit Lessons:
 Simplifying Numerical Expressions/Classifying Real Numbers
 Using Algebraic Properties to Simplify Linear Expressions
 Solving Single Variable Linear Equations
 Graphing Single Variable Linear Equations
 Modeling Real-world Problems Using Linear Equations and Graphs
Key Lesson Questions:
1. How are numerical expressions simplified?
How are real numbers classified and compared?
2. How are algebraic properties used to simplify linear expressions?
3. How are single variable equations solved?
4. How are single variable equations graphed?
5. How are real-world problems modeled using linear equations and graphs?
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
Prentice Hall:
Mathematics Algebra
1: Common Core
Nspire Calculators
Navigator System