
Lesson 
Topic (SOL) 
Suggested Timeframe 
Unit 1: Expressions, Radicals, and Like Terms

Lesson 1* 
Real Number System (8.2)
 Describe orally and in writing the relationships between the subsets of the real number system.

3 weeks 
Lesson 2* 
Square Roots (8.5)
 Determine whether a given number is a perfect square
 Find the two consecutive whole numbers between which a square root lies.

Lesson 3 
Simplifying Radicals (A.3)
 Express the square root of a whole number
 Express the cube root of a whole number
 Simplifying radicals

Lesson 4 
Translating Expressions (A.1)
 Represent verbal situations algebraically

Lesson 5 
Evaluating Expressions (A.1)
 Evaluate expressions given replacement values
 Combining like terms

Unit 2: Solving Equations 
Lesson 1* 
Pythagorean Theorem (8.10)
 Verify and apply the Pythagorean Theorem

4 weeks 
Lesson 2* 
Solve Multistep Equations (A.4bdf)
Solve Multistep Linear Equations (8.15ac)
 Solve multistep equations algebraically and graphically
 Justify steps using field properties and axioms of equality
 Solve realworld problems involving equations

Lesson 3 
Solve Equations with Variables on Both Sides (A.4bdf)
 Solve multistep equations algebraically and graphically
 Justify steps using field properties and axioms of equality
 Solve realworld problems involving equations

Lesson 4 
Solve Literal Equations (A.4abf)
 Justify steps using field properties and axioms of equality
 Solve realworld problems involving systems of equations

Unit 3: Solving Inequalities

Lesson 1* 
Solving Multistep Inequalities Algebraically and Graphically (A.5abc)
Solve TwoStep Inequalities (8.15b)
 Solve multistep inequalities algebraically and graphically
 Justify steps using field properties and axioms of inequality

2 weeks 

Lesson 
Topic (SOL) 
Suggested Timeframe 
Unit 4: Relations and Functions

Lesson 1* 
Domain/Range (8.17)
 Determine the domain and range of a function
 Determine the independent and dependent variable of a relationship

3 weeks 
Lesson 2 
Relations (A.7abf)
 Determine if a relation is a function
 Determine the domain and range of a function
 Make connections between and among multiple representations of functions including concrete, verbal, numeric, graphic, and algebraic.

Lesson 3 
Determine Zeros and Intercepts of a Function (A.7cdf)
 Locate zeros of functions algebraically and graphically
 Find x and yintercepts of functions
 Make connections between and among multiple representations of functions including concrete, verbal, numeric, graphic, and algebraic.

Lesson 4 
Finding Function Values (A.7e)
 Find the values of a function for elements in its domain

Unit 5: Graphing Equations and Inequalities

Lesson 1 
Finding Slope (A.6a)
 Determine the slope of a line when given an equation of the line
 Determine the slope of a line when given the graph of the line
 Determine the slope of a line when given two points on the line
 Describe slope as positive, negative, zero, or undefined

3 weeks 
Lesson 2 
Graphing Linear Equations in SlopeIntercept Form, Standard Form, and with Intercepts (A.6)
 Graph linear equations using a table
 Graph linear equations using slope and yintercept
 Graph linear equations in standard form using x and yintercept

Lesson 3 
Graphing Linear Inequalities (A.5/A.6)
 Graph linear inequalities using a table
 Graph linear inequalities using slope and yintercept
 Graph linear inequalities in standard form using x and yintercept

Lesson 4 
Direct and Inverse Variation (A.8)
 Determine if a direct or inverse variation exists
 Represent a direct variation algebraically and graphically
 Represent an inverse variation algebraically

Unit 6: Writing Linear Equations 
Lesson 1 
Writing Equations Given a Graph (SlopeIntercept Form) (A.6b)
 Write the equation of a line when given the graph of the line

3 weeks 
Lesson 2 
Writing Equations Given 2 Points or a Point and Slope (A.6b)
 Write the equation of a line when given two points on the line
 Write the equation of a line when given the slope and a point on the line


Lesson 
Topic (SOL) 
Suggested Timeframe 
Unit 7: Systems of Equations and Inequalities

Lesson 1 
Solve Systems of Equations by Graphing (A.4ef)
 Solve systems of two linear equations in two variables graphically
 Solve realworld problems involving systems of equations

4 weeks 
Lesson 2 
Solve Systems of Equations by Substitution & Elimination(A.4ef)
 Solve systems of two linear equations in two variables algebraically
 Solve realworld problems involving systems of equations

Lesson 3 
Solving Systems of Inequalities (A.5d)
 Solve systems of two linear inequalities in two variables
 Solve realworld problems involving systems of inequalities

Unit 8: Polynomials

Lesson 1 
Laws of Exponents (A.2a)
 Apply the laws of exponents to perform operations on expressions involving
 Monomial multiplication
 Power of a power
 Power of a product

3 weeks 
Lesson 2 
Adding and Subtracting Polynomials (A.2b)
 Find sum and differences of polynomials

Lesson 3 
Division of Monomials (A.2a)
 Apply the laws of exponents to perform operations on expressions involving monomial division

Lesson 4 
Multiplying Polynomials (A.2b)
 Find the product of polynomials
 Model with concrete and pictorial representations

Lesson 5 
Dividing Polynomials (A.2b)
 Find the quotient of polynomials using monomial or binomial divisor
 Model with concrete and pictorial representations

Lesson 6 
Square Roots of Monomial Algebraic Expressions (A.3)
 Express monomials in simplest radical form

Unit 9: Factoring

Lesson 1 
Factoring GCF (A.2c)
 Factor completely first and seconddegree polynomials using the greatest common factor

2 weeks 
Lesson 2 
Factoring Difference of Squares (A.2c)
 Factor completely seconddegree binomials in one or two variables

Lesson 3 
Factoring Trinomials (A.2c)
 Factor completely seconddegree trinomials in one or two variables

Lesson 4 
Solve Quadratic Equations (A.4c)
 Solve realworld problems involving quadratic equations algebraically (factoring and quadratic formula)
 Solve realworld problems involving quadratics graphically
 Confirm solutions for confirming algebraic factorizations
 Unit continues into the Fourth Marking Period


Lesson 
Topic (SOL) 
Suggested Timeframe 
Unit 9: Factoring (continued)



2 weeks 
Unit 10: Data Analysis

Lesson 1 
Standard Deviation (A.9)
 Calculate and interpret mean absolute deviation and standard deviation
 Analyze implications for realworld situations

3 weeks 
Lesson 2 
ZScores (A.9)
 Calculate and interpret zscores
 Analyze implications for realworld situations

Lesson 3 
Box and Whisker Plots (A.10)
 Compare and contrast multiple univariate data sets

Lesson 4* 
Scatterplots (8.13b)
 Construct and analyze scatterplots

Lesson 5 
Curve of Best Fit (A.11)
 Write the equation for a curve of best fit using linear and quadratic models
 Make predictions using the curve of best fit
 Solve realworld problems

SOL Review 

SOL Review & Resources 
2 weeks 
*Lessons include Math 8 concepts that can be taught independently or embedded within the Algebra 1 lessons.
