
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 realworld 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 realworld 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


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 
FourTerm 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, xintercepts 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 xintercepts 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


Lesson 
Topic (SOL) 
Suggested Timeframe 
Unit 7: Systems of NonLinear Equations 
Lesson 1 
Solve Graphically (AII.5)
 Predict the number of solutions to a nonlinear system of two equations
 Solve a linearquadratic system of two equations graphically
 Solve a quadraticquadratic 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 linearquadratic system of two equations algebraically
 Solve a quadraticquadratic 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


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, n, nth term, and an
 Given the formula, find an (the nth term) for an arithmetic or a geometric sequence
 Model realworld 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 realworld 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 zscores
 Represent probability as area under the curve of a standard normal probability distribution

1 week 
Lesson 2 
Zscores (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 zscores
 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 zscores

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 realworld 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 n objects taken r at a time
 Calculate the number of combinations of n objects taken r at a time
 Use permutations and combinations as counting techniques to solve realworld problems

1 week 

SOL Review & Resources 
2 weeks 