Algebra 1 Online!
Henrico County Public Schools, Virginia
Expressions and Operations

Equations and Inequalities

Functions

Statistics

SOL Review Materials

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 Multi-step Equations (A.4bdf)
Solve Multi-step Linear Equations (8.15ac)
  • Solve multistep equations algebraically and graphically
  • Justify steps using field properties and axioms of equality
  • Solve real-world 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 real-world problems involving equations
Lesson 4
Solve Literal Equations (A.4abf)
  • Justify steps using field properties and axioms of equality
  • Solve real-world problems involving systems of equations
Unit 3: Solving Inequalities
Lesson 1*
Solving Multistep Inequalities Algebraically and Graphically (A.5abc)
Solve Two-Step Inequalities (8.15b)
  • Solve multistep inequalities algebraically and graphically
  • Justify steps using field properties and axioms of inequality
2 weeks
Second Marking Period
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 y-intercepts 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 Slope-Intercept Form, Standard Form, and with Intercepts (A.6)
  • Graph linear equations using a table
  • Graph linear equations using slope and y-intercept
  • Graph linear equations in standard form using x- and y-intercept
Lesson 3
Graphing Linear Inequalities (A.5/A.6)
  • Graph linear inequalities using a table
  • Graph linear inequalities using slope and y-intercept
  • Graph linear inequalities in standard form using x- and y-intercept
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 (Slope-Intercept 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
Third Marking Period
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 real-world 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 real-world problems involving systems of equations
Lesson 3
Solving Systems of Inequalities (A.5d)
  • Solve systems of two linear inequalities in two variables
  • Solve real-world 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 second-degree polynomials using the greatest common factor
2 weeks
Lesson 2
Factoring Difference of Squares (A.2c)
  • Factor completely second-degree binomials in one or two variables
Lesson 3
Factoring Trinomials (A.2c)
  • Factor completely second-degree trinomials in one or two variables
Lesson 4
Solve Quadratic Equations (A.4c)
  • Solve real-world problems involving quadratic equations algebraically (factoring and quadratic formula)
  • Solve real-world problems involving quadratics graphically
  • Confirm solutions for confirming algebraic factorizations
  • Unit continues into the Fourth Marking Period
Fourth Marking Period
Lesson
Topic (SOL)
Suggested Timeframe
Unit 9: Factoring (continued)
 
  • Complete Factoring Unit
2 weeks
Unit 10: Data Analysis
Lesson 1
Standard Deviation (A.9)
  • Calculate and interpret mean absolute deviation and standard deviation
  • Analyze implications for real-world situations
3 weeks
Lesson 2
Z-Scores (A.9)
  • Calculate and interpret z-scores
  • Analyze implications for real-world 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 real-world 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.

Pacing Spreadsheet (click appropriate tab)