Algebra 2 Online!
Henrico County Public Schools, Virginia
Expressions and Operations

Equations and Inequalities

Functions

Statistics

SOL Review Materials

Lesson
Topic (SOL)
Suggested Timeframe
Unit 1: Absolute Value Equations and Inequalities
Lesson 1
Solve Absolute Value Equations (AII.4a)
  • Solve absolute value equations and inequalities algebraically and graphically
  • Apply an appropriate equation to solve a real-world problem
2 weeks
Lesson 2
Solve Absolute Value Inequalities (AII.4a)
  • Solve absolute value equations and inequalities algebraically and graphically
  • Apply an appropriate equation to solve a real-world problem
Lesson 3
Graphs of Absolute Value Functions (AII.6)
  • Recognize graphs of parent functions
Transformational Graphing Lesson with Absolute Value Functions (AII.6)
  • Identify the graph and write the equation of the transformed function
  • Identify the transformations and write the equation when given a graph
  • Graph a function using a transformational approach
2 weeks
Lesson 4
Characteristics of Absolute Value Functions (AII.7)
  • Domain and Range (AII.7a)
    • Identify the domain and range of a function presented algebraically or graphically
    • Describe restricted/discontinuous domains and ranges
  • Zeros of Functions (AII.7b)
    • Identify the zeros of a function presented algebraically or graphically
  • Intercepts (AII.7c)
    • Identify the zeros and intercepts of a function presented algebraically or graphically
  • Increasing/Decreasing Intervals (AII.7d)
    • Identify intervals on which the function is increasing and decreasing given the graph of a function
  • End Behavior (AII.7f)
    • Describe the end behavior of a function
Unit 2: Radical Expressions & Rational Exponents
Lesson 1
Simplify Radical Expressions (AII.1b)
  • Simplify radical expressions containing positive rational numbers and variables
2.5 weeks
Lesson 2
Add/Subtract Radical Expressions (AII.1b)
  • Add and subtract radical expressions
Lesson 3
Multiply Radical Expressions (AII.1b)
  • Multiply radical expressions
Lesson 4

Divide Radical Expressions (AII.1b)

  • Divide radical expressions not requiring rationalizing the denominators
Lesson 5
Radical & Rational Notation (AII.1c)
  • Convert from radical notation to exponential notation, and vice versa
Unit 3: Complex Numbers and Simplifying Radicals
Lesson 1
Number Sets and Field Properties (AII.3)
  • Determine which field properties apply to the complex number system
  • Place the following sets of numbers in a hierarchy of subsets: complex, pure imaginary, real, rational, irrational, integers, whole, and natural
1.5 weeks
Lesson 2
Operations on Complex Numbers (AII.3)
  • Simplify radical expressions containing negative rational numbers
  • Express complex, real, and pure imaginary numbers in a+bi form
  • Simplify powers of i
  • Add, subtract, and multiply complex numbers
Second Marking Period
Lesson
Topic (SOL)
Suggested Timeframe
Unit 4: Radical Equations and Functions
Lesson 1
Solve Radical Equations (AII.4d)
  • Solve an equation containing a radical expression algebraically and graphically
  • Verify possible solutions to an equation containing rational or radical expressions
1.5 weeks
Lesson 2
Graphs of Parent Function (AII.6)
  • Recognize graphs of parent functions
Transformational Graphing Lesson with Radical Functions (AII.6)
  • Identify the graph and write the equation of the transformed function
  • Identify the transformations and write the equation when given a graph
  • Graph a function using a transformational approach
Lesson 3
Characteristics of Radical Functions (AII.7)
  • Domain and Range (AII.7a)
    • Identify the domain and range of a function presented algebraically or graphically
    • Describe restricted/discontinuous domains and ranges
  • Zeros of Functions (AII.7b)
    • Identify the zeros of a function presented algebraically or graphically
  • Intercepts (AII.7c)
    • Identify the zeros and intercepts of a function presented algebraically or graphically
  • Increasing/Decreasing Intervals (AII.7d)
    • Identify intervals on which the function is increasing and decreasing given the graph of a function
  • End Behavior (AII.7f)
    • Describe the end behavior of a function
Unit 5: Factoring Polynomials
Lesson 1
GCF & Difference of Squares (AII.1d)
  • Factor polynomials by applying general patterns including difference of squares
  • Factor polynomials completely over the integers.
  • Verify polynomial identities including the difference of squares
3 weeks
Lesson 2
Sum/Difference of Cubes (AII.1d)
  • Factor polynomials by applying general patterns including sum and difference of cubes
  • Factor polynomials completely over the integers.
  • Verify polynomial identities including the sum and difference of cubes
Lesson 3
Trinomials (AII.1d)
  • Factor polynomials by applying general patterns including perfect square trinomials
  • Factor polynomials completely over the integers.
  • Verify polynomial identities including perfect square trinomials
Lesson 4
Four-Term Polynomials (AII.1d)
  • Factor polynomials completely over the integers
Unit 6: Quadratic Equations and Functions
Lesson 1
Solve Quadratic Equations Graphically (AII.4b)
  • Solve a quadratic equation over the set of complex numbers using an appropriate strategy
3 weeks
Lesson 2
Solve Quadratic Equations Algebraically (AII.4b)
  • Solve a quadratic equation over the set of complex numbers using an appropriate strategy
  • Calculate the discriminant of a quadratic equation to determine the number of real and complex solutions
  • Recognize that the quadratic formula can be derived by applying the completion of squares to any quadratic equation in standard form
Lesson 3
Solutions, Zeros, Intercepts and Factors (AII.8)
  • Describe the relationships among solutions of an equation, zeros of a function, x-intercepts of a graph, and factors of a polynomial expression.
  • Define a polynomial function, given its zeros
  • Determine a factored form of a polynomial expression from the x-intercepts of the graph of its corresponding function
  • For a function, identify zeros of multiplicity greater than 1 and describe the effect of those zeros on the graph of the function
  • Given a polynomial equation, determine the number of real solutions and nonreal solutions
Lesson 4
Graphs of Parent Function (AII.6)
  • Recognize graphs of parent functions
Transformational Graphing Lesson with Quadratic Functions (AII.6)
  • Identify the graph and write the equation of the transformed function
  • Identify the transformations and write the equation when given a graph
  • Graph a function using a transformational approach
1.5 weeks
Lesson 5
Characteristics of Quadratic Functions (AII.7)
  • Domain and Range (AII.7a)
    • Identify the domain and range of a function presented algebraically or graphically
    • Describe restricted/discontinuous domains and ranges
  • Zeros of Functions (AII.7b)
    • Identify the zeros of a function presented algebraically or graphically
  • Intercepts (AII.7c)
    • Identify the zeros and intercepts of a function presented algebraically or graphically
  • Increasing/Decreasing Intervals (AII.7d)
    • Identify intervals on which the function is increasing and decreasing given the graph of a function
  • End Behavior (AII.7f)
    • Describe the end behavior of a function
Third Marking Period
Lesson
Topic (SOL)
Suggested Timeframe
Unit 7: Systems of Non-Linear Equations
Lesson 1
Solve Graphically (AII.5)
  • Predict the number of solutions to a nonlinear system of two equations
  • Solve a linear-quadratic system of two equations graphically
  • Solve a quadratic-quadratic system of two equations graphically
1 week
Lesson 2
Solve Algebraically (AII.5)
  • Predict the number of solutions to a nonlinear system of two equations.
  • Solve a linear-quadratic system of two equations algebraically
  • Solve a quadratic-quadratic system of two equations algebraically
Unit 8: Polynomials and Polynomial Functions
Lesson 1
Graphs of Parent Function (AII.6)
  • Recognize graphs of parent functions
Transformational Graphing Lesson with Polynomial Functions (AII.6)
  • Identify the graph and write the equation of the transformed function
  • Identify the transformations and write the equation when given a graph
  • Graph a function using a transformational approach
1.5 weeks
Lesson 2
Characteristics of Polynomial Functions (AII.7)
  • Domain and Range (AII.7a)
    • Identify the domain and range of a function presented algebraically or graphically
    • Describe restricted/discontinuous domains and ranges
  • Zeros of Functions (AII.7b)
    • Identify the zeros of a function presented algebraically or graphically
  • Intercepts (AII.7c)
    • Identify the zeros and intercepts of a function presented algebraically or graphically
  • Increasing/Decreasing Intervals (AII.7d)
    • Identify intervals on which the function is increasing and decreasing given the graph of a function
  • End Behavior (AII.7f)
    • Describe the end behavior of a function
Unit 9: Rational Expressions and Equations
Lesson 1
Simplify Rational Expressions (AII.1a)
  • Simplify a rational algebraic expression with common monomial or binomial factors
  • Recognize a complex algebraic fraction, and simplify it as a quotient or product of simple algebraic fractions.
3 weeks
Lesson 2
Add/Subtract Rational Expressions (AII.1a)
  • Add and subtract rational algebraic expressions
Lesson 3
Multiply/Divide Rational Expressions (AII.1a)
  • Multiply and divide rational algebraic expressions
  • Recognize a complex algebraic fraction, and simplify it as a quotient or product of simple algebraic fractions
Lesson 4
Solve Rational Equations (AII.4c)
  • Solve equations containing rational algebraic expressions with monomial or binomial denominators algebraically and graphically
Unit 10: Exponential and Logarithmic Functions
Lesson 1
Inverse Functions (AII.7g)
  • Find the inverse of a function
  • Graph the inverse of a function as a reflection across the line y = x
  • Investigate exponential and logarithmic functions, using the graphing calculator
  • Convert between logarithmic and exponential forms of an equation with bases consisting of natural numbers
3 weeks
Lesson 2
Composition of Functions (AII.7h)
  • Find the composition of two functions
  • Use composition of functions to verify two functions are inverses
Lesson 3
Graphs of Parent Function (AII.6)
  • Recognize graphs of parent functions
Transformational Graphing Lesson with Asymptotic Functions (AII.6)
  • Identify the graph and write the equation of the transformed function
  • Identify the transformations and write the equation when given a graph
  • Graph a function using a transformational approach
Lesson 4
Characteristics of Asymptotic Functions (AII.7)
  • Domain and Range (AII.7a)
    • Identify the domain and range of a function presented algebraically or graphically
    • Describe restricted/discontinuous domains and ranges
  • Zeros of Functions (AII.7b)
    • Identify the zeros of a function presented algebraically or graphically
  • Intercepts (AII.7c)
    • Identify the zeros and intercepts of a function presented algebraically or graphically
  • Increasing/Decreasing Intervals (AII.7d)
    • Identify intervals on which the function is increasing and decreasing given the graph of a function
  • Asymptotes (AII.7e)
    • Find the equations of vertical and horizontal asymptotes of functions
  • End Behavior (AII.7f)
    • Describe the end behavior of a function
Fourth Marking Period
Lesson
Topic (SOL)
Suggested Timeframe
Unit 11: Sequences and Series
Lesson 1
Sequences (AII.2)
  • Distinguish between a sequence and a series
  • Generalize patterns in a sequence using explicit and recursive formulas
  • Use and interpret the notations å, nnth term, and an
  • Given the formula, find an (the nth term) for an arithmetic or a geometric sequence
  • Model real-world situations using sequences and series.
1 week
Lesson 2
Series (AII.2)
  • Distinguish between a sequence and a series
  • Given formulas, write the first n terms and find the sum, Sn, of the first n terms of an arithmetic or geometric series
  • Given the formula, find the sum of a convergent infinite series
  • Model real-world situations using sequences and series
Unit 12: Statistics
Lesson 1
Normal Distribution & Standard Deviation (AII.11)
  • Identify the properties of a normal probability distribution
  • Describe how the standard deviation and the mean affect the graph of the normal distribution
  • Compare two sets of normally distributed data using a standard normal distribution and z-scores
  • Represent probability as area under the curve of a standard normal probability distribution
1 week
Lesson 2
Z-scores (AII.11)
  • Identify the properties of a normal probability distribution.
  • Describe how the standard deviation and the mean affect the graph of the normal distribution
  • Compare two sets of normally distributed data using a standard normal distribution and z-scores
  • Represent probability as area under the curve of a standard normal probability distribution
  • Use the graphing calculator or a standard normal probability table to determine probabilities or percentiles based on z-scores
Lesson 3
Variations (AII.10)
  • Translate “y varies jointly as x and z” as y = kxz
  • Translate “y is directly proportional to x” as y = kx
  • Translate “y is inversely proportional to x” as y = k/x
  • Given a situation, determine the value of the constant of proportionality
  • Set up and solve problems, including real-world problems, involving inverse variation, joint variation, and a combination of direct and inverse variations
0.5 weeks
Lesson 4
Curve of Best Fit (AII.9)
  • Investigate scatterplots to determine if patterns exist and then identify the patterns
  • Find an equation for the curve of best fit (polynomial, exponential, and logarithmic) for data, using a graphing calculator
  • Make predictions, using data, scatterplots, or the equation of the curve of best fit
  • Given a set of data, determine the model that would best describe the data
0.5 weeks
Lesson 5
Permutations and Combinations (AII.12)
  • Compare and contrast permutations and combinations
  • Calculate the number of permutations of objects taken at a time
  • Calculate the number of combinations of objects taken at a time
  • Use permutations and combinations as counting techniques to solve real-world problems
1 week
SOL Review & Resources
2 weeks

Pacing Spreadsheet (click appropriate tab)