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Henrico County Public Schools, Virginia
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 First Marking Period Second Marking Period Third Marking Period Fourth Marking Period
First Marking Period
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 containing positive rational numbers and variables
2.5 weeks
Lesson 2
Lesson 3
Lesson 4

• Divide radical expressions not requiring rationalizing the denominators
Lesson 5
• 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 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
• 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 a quadratic equation over the set of complex numbers using an appropriate strategy
3 weeks
Lesson 2
• 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
• 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
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
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 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