1	Unit 1 Functions and Equations
Module 1 - Analyze Functions
Lesson 1:  Domain, Range, and End Behavior		1. Interval notation 2. Domain and range 3. Domain and range of linear functions: word problems Also consider: • Set-builder notation • Identify linear, quadratic, and exponential functions from graphs
Lesson 1:  Domain, Range, and End Behavior
1. Interval notation 2. Domain and range 3. Domain and range of linear functions: word problems Also consider: • Set-builder notation • Identify linear, quadratic, and exponential functions from graphs
Lesson 2:  Characteristics of Function and Graphs		1. Average rate of change 2. Identify graphs: word problems
Lesson 2:  Characteristics of Function and Graphs
1. Average rate of change 2. Identify graphs: word problems
Lesson 3:  Transformations of Function Graphs		1. Translations of functions 2. Reflections of functions 3. Dilations of functions Also consider: • Describe function transformations • Function transformation rules • Even and odd functions
Lesson 3:  Transformations of Function Graphs
1. Translations of functions 2. Reflections of functions 3. Dilations of functions Also consider: • Describe function transformations • Function transformation rules • Even and odd functions
Lesson 4:  Transformations of Absolute Value and Quadratic Functions		1. Transformations of absolute value functions 2. Transformations of quadratic functions 3. Graph a quadratic function Also consider: • Graph an absolute value function • Domain and range of absolute value functions: equations
Lesson 4:  Transformations of Absolute Value and Quadratic Functions
1. Transformations of absolute value functions 2. Transformations of quadratic functions 3. Graph a quadratic function Also consider: • Graph an absolute value function • Domain and range of absolute value functions: equations
Lesson 5:  Compare Functions Across Representations		1. Compare linear functions: tables, graphs, and equations
Lesson 5:  Compare Functions Across Representations
1. Compare linear functions: tables, graphs, and equations
Module 2 - Solve Quadratic Equations and Systems
Lesson 1:  Use Square Roots to Solve Quadratic Equations		1. Solve a quadratic equation using square roots Also consider: • Solve a quadratic equation using the zero product property
Lesson 1:  Use Square Roots to Solve Quadratic Equations
1. Solve a quadratic equation using square roots Also consider: • Solve a quadratic equation using the zero product property
Lesson 2:  Operations with Complex Numbers		1. Add and subtract complex numbers 2. Multiply complex numbers 3. Divide complex numbers Also consider: • Introduction to complex numbers • Complex conjugates • Add, subtract, multiply, and divide complex numbers
Lesson 2:  Operations with Complex Numbers
1. Add and subtract complex numbers 2. Multiply complex numbers 3. Divide complex numbers Also consider: • Introduction to complex numbers • Complex conjugates • Add, subtract, multiply, and divide complex numbers
Lesson 3:  Derive and Apply the Quadratic Formula		1. Solve a quadratic equation by completing the square 2. Solve a quadratic equation using the quadratic formula 3. Using the discriminant 4. Solve quadratic equations: word problems Also consider: • Complete the square
Lesson 3:  Derive and Apply the Quadratic Formula
1. Solve a quadratic equation by completing the square 2. Solve a quadratic equation using the quadratic formula 3. Using the discriminant 4. Solve quadratic equations: word problems Also consider: • Complete the square
Lesson 4:  Solve Linear-Quadratic Systems		1. Solve a system of linear and quadratic equations by graphing: parabolas 2. Solve a nonlinear system of equations: lines, circles, and parabolas
Lesson 4:  Solve Linear-Quadratic Systems
1. Solve a system of linear and quadratic equations by graphing: parabolas 2. Solve a nonlinear system of equations: lines, circles, and parabolas

2	Unit 2 Polynomial Functions and Equations
Module 3 - Polynomial Functions
Lesson 1:  Graph Polynomial Functions		1. Domain and range of polynomials 2. Characteristics of quadratic functions: graphs 3. Characteristics of quadratic functions: equations Also consider: • Domain and range of quadratic functions: graphs • Domain and range of quadratic functions: equations
Lesson 1:  Graph Polynomial Functions
1. Domain and range of polynomials 2. Characteristics of quadratic functions: graphs 3. Characteristics of quadratic functions: equations Also consider: • Domain and range of quadratic functions: graphs • Domain and range of quadratic functions: equations
Lesson 2:  Analyze Graphs of Polynomial Functions		1. Match polynomials and graphs Also consider: • Match polynomials and graphs using end behavior • Characteristics of quadratic functions
Lesson 2:  Analyze Graphs of Polynomial Functions
1. Match polynomials and graphs Also consider: • Match polynomials and graphs using end behavior • Characteristics of quadratic functions
Module 4 - Function Operations and Polynomials
Lesson 1:  Function Operations		1. Add and subtract functions 2. Multiply functions 3. Divide functions
Lesson 1:  Function Operations
1. Add and subtract functions 2. Multiply functions 3. Divide functions
Lesson 2:  Add and Subtract Polynomials		1. Polynomial vocabulary 2. Add and subtract polynomials
Lesson 2:  Add and Subtract Polynomials
1. Polynomial vocabulary 2. Add and subtract polynomials
Lesson 3:  Multiply Polynomials		1. Multiply polynomials using area models 2. Multiply polynomials
Lesson 3:  Multiply Polynomials
1. Multiply polynomials using area models 2. Multiply polynomials
Lesson 4:  Factor Polynomials		1. Factor out a monomial 2. Factor polynomials using identities 3. Factor by grouping 4. Factor polynomials Also consider: • Factor quadratics • Factor using a quadratic pattern
Lesson 4:  Factor Polynomials
1. Factor out a monomial 2. Factor polynomials using identities 3. Factor by grouping 4. Factor polynomials Also consider: • Factor quadratics • Factor using a quadratic pattern
Lesson 5:  Divide Polynomials		1. Evaluate polynomials using synthetic division 2. Divide polynomials using long division 3. Divide polynomials using synthetic division Also consider: • Add, subtract, multiply, and divide polynomials
Lesson 5:  Divide Polynomials
1. Evaluate polynomials using synthetic division 2. Divide polynomials using long division 3. Divide polynomials using synthetic division Also consider: • Add, subtract, multiply, and divide polynomials
Module 5 - Polynomial Equations
Lesson 1:  Solve Polynomial Equations		1. Rational root theorem: real roots 2. Solve polynomial equations Also consider: • Solve a quadratic equation by factoring • Find the roots of factored polynomials • Write a polynomial from its roots
Lesson 1:  Solve Polynomial Equations
1. Rational root theorem: real roots 2. Solve polynomial equations Also consider: • Solve a quadratic equation by factoring • Find the roots of factored polynomials • Write a polynomial from its roots
Lesson 2:  The Fundamental Theorem of Algebra		1. Match polynomials and graphs using zeros 2. Fundamental Theorem of Algebra 3. Conjugate root theorems 4. Complex conjugate theorem
Lesson 2:  The Fundamental Theorem of Algebra
1. Match polynomials and graphs using zeros 2. Fundamental Theorem of Algebra 3. Conjugate root theorems 4. Complex conjugate theorem

3	Unit 3 Rational Exponents and Radical Functions
Module 6 - Rational Exponents and Radical Operations
Lesson 1:  Rational Exponents and nth Roots		1. Evaluate rational exponents 2. Convert between rational exponents and radicals
Lesson 1:  Rational Exponents and nth Roots
1. Evaluate rational exponents 2. Convert between rational exponents and radicals
Lesson 2:  Properties of Rational Exponents and Radicals		1. Simplify expressions involving rational exponents II 2. Multiply radical expressions 3. Simplify radical expressions with variables II 4. Simplify radical expressions involving fractions Also consider: • Multiplication with rational exponents • Division with rational exponents • Power rule • Simplify expressions involving rational exponents I
Lesson 2:  Properties of Rational Exponents and Radicals
1. Simplify expressions involving rational exponents II 2. Multiply radical expressions 3. Simplify radical expressions with variables II 4. Simplify radical expressions involving fractions Also consider: • Multiplication with rational exponents • Division with rational exponents • Power rule • Simplify expressions involving rational exponents I
Module 7 - Radical Functions and Equations
Lesson 1:  Inverse Functions and Function Composition		1. Composition of linear and quadratic functions: find a value 2. Composition of linear and quadratic functions: find an equation 3. Find values of inverse functions from tables 4. Find the inverse of a linear function Also consider: • Composition of linear functions: find a value • Composition of linear functions: find an equation
Lesson 1:  Inverse Functions and Function Composition
1. Composition of linear and quadratic functions: find a value 2. Composition of linear and quadratic functions: find an equation 3. Find values of inverse functions from tables 4. Find the inverse of a linear function Also consider: • Composition of linear functions: find a value • Composition of linear functions: find an equation
Lesson 2:  Inverses of Quadratic and Cubic Functions		1. Find inverse functions and relations 2. Identify inverse functions 3. Graphs of inverse functions Also consider: • Find values of inverse functions from graphs
Lesson 2:  Inverses of Quadratic and Cubic Functions
1. Find inverse functions and relations 2. Identify inverse functions 3. Graphs of inverse functions Also consider: • Find values of inverse functions from graphs
Lesson 3:  Graph Square Root Functions		1. Domain and range of radical functions 2. Graph square root functions
Lesson 3:  Graph Square Root Functions
1. Domain and range of radical functions 2. Graph square root functions
Lesson 4:  Graph Cube Root Functions		1. Graph cube root functions
Lesson 4:  Graph Cube Root Functions
1. Graph cube root functions
Lesson 5:  Solve Radical Equations		1. Solve radical equations 2. Solve equations with rational exponents
Lesson 5:  Solve Radical Equations
1. Solve radical equations 2. Solve equations with rational exponents

4	Unit 4 Exponential and Logarithmic Functions and Equations
Module 8 - Exponential Functions
Lesson 1:  Exponential Growth and Decay Functions		1. Graph exponential functions 2. Match exponential functions and graphs 3. Write exponential functions: word problems Also consider: • Write exponential functions from graphs
Lesson 1:  Exponential Growth and Decay Functions
1. Graph exponential functions 2. Match exponential functions and graphs 3. Write exponential functions: word problems Also consider: • Write exponential functions from graphs
Lesson 2:  The Natural Base e		1. Exponential growth and decay: word problems
Lesson 2:  The Natural Base e
1. Exponential growth and decay: word problems
Lesson 3:  Compound Interest		1. Compound interest: word problems 2. Continuously compounded interest: word problems Also consider: • Simple interest: word problems
Lesson 3:  Compound Interest
1. Compound interest: word problems 2. Continuously compounded interest: word problems Also consider: • Simple interest: word problems
Module 9 - Logarithmic Functions
Lesson 1:  Logarithms and Logarithmic Functions		1. Convert between exponential and logarithmic form: rational bases 2. Convert between natural exponential and logarithmic form 3. Evaluate logarithms Also consider: • Convert between exponential and logarithmic form: all bases • Evaluate natural logarithms
Lesson 1:  Logarithms and Logarithmic Functions
1. Convert between exponential and logarithmic form: rational bases 2. Convert between natural exponential and logarithmic form 3. Evaluate logarithms Also consider: • Convert between exponential and logarithmic form: all bases • Evaluate natural logarithms
Lesson 2:  Graph Logarithmic Functions		1. Graph logarithmic functions Also consider: • Domain and range of logarithmic functions
Lesson 2:  Graph Logarithmic Functions
1. Graph logarithmic functions Also consider: • Domain and range of logarithmic functions
Lesson 3:  Create Exponential and Logarithmic Functions		1. Write exponential functions from tables 2. Exponential regression
Lesson 3:  Create Exponential and Logarithmic Functions
1. Write exponential functions from tables 2. Exponential regression
Module 10 - Exponential and Logarithmic Equations
Lesson 1:  Properties of Logarithms		1. Product property of logarithms 2. Quotient property of logarithms 3. Power property of logarithms 4. Evaluate logarithms using properties Also consider: • Evaluate logarithms using a calculator • Identify properties of logarithms • Change of base formula • Properties of logarithms: mixed review
Lesson 1:  Properties of Logarithms
1. Product property of logarithms 2. Quotient property of logarithms 3. Power property of logarithms 4. Evaluate logarithms using properties Also consider: • Evaluate logarithms using a calculator • Identify properties of logarithms • Change of base formula • Properties of logarithms: mixed review
Lesson 2:  Solve Exponential Equations		1. Approximate solutions using a table 2. Solve exponential equations by rewriting the base 3. Solve exponential equations using common logarithms Also consider: • Solve exponential equations using natural logarithms
Lesson 2:  Solve Exponential Equations
1. Approximate solutions using a table 2. Solve exponential equations by rewriting the base 3. Solve exponential equations using common logarithms Also consider: • Solve exponential equations using natural logarithms
Lesson 3:  Solve Logarithmic Equations		1. Solve logarithmic equations I 2. Solve logarithmic equations II
Lesson 3:  Solve Logarithmic Equations
1. Solve logarithmic equations I 2. Solve logarithmic equations II

5	Unit 5 Rational Functions and Equations
Module 11 - Rational Functions
Lesson 1:  Inverse Variation		1. Write and solve inverse variation equations Also consider: • Identify direct and inverse variation
Lesson 1:  Inverse Variation
1. Write and solve inverse variation equations Also consider: • Identify direct and inverse variation
Lesson 2:  Graph Simple Rational Functions		1. Rational functions: identify asymptotes from graphs 2. Rational functions: identify asymptotes from equations
Lesson 2:  Graph Simple Rational Functions
1. Rational functions: identify asymptotes from graphs 2. Rational functions: identify asymptotes from equations
Lesson 3:  Graph More Complicated Rational Functions		1. Rational functions: asymptotes and excluded values
Lesson 3:  Graph More Complicated Rational Functions
1. Rational functions: asymptotes and excluded values
Module 12 - Rational Expressions and Equations
Lesson 1:  Multiply and Divide Rational Expressions		1. Simplify rational expressions 2. Multiply and divide rational expressions Also consider: • Evaluate rational expressions I
Lesson 1:  Multiply and Divide Rational Expressions
1. Simplify rational expressions 2. Multiply and divide rational expressions Also consider: • Evaluate rational expressions I
Lesson 2:  Add and Subtract Rational Expressions		1. Add and subtract rational expressions
Lesson 2:  Add and Subtract Rational Expressions
1. Add and subtract rational expressions
Lesson 3:  Solve Rational Equations		1. Solve rational equations
Lesson 3:  Solve Rational Equations
1. Solve rational equations

6	Unit 6 Sequences and Series
Module 13 - Explicit Formulas for Sequences and Series
Lesson 1:  Define Sequences and Series		1. Evaluate explicit formulas for sequences 2. Introduction to sigma notation Also consider: • Shape patterns • Introduction to partial sums
Lesson 1:  Define Sequences and Series
1. Evaluate explicit formulas for sequences 2. Introduction to sigma notation Also consider: • Shape patterns • Introduction to partial sums
Lesson 2:  Arithmetic Sequences and Series		1. Find terms of an arithmetic sequence 2. Write a formula for an arithmetic sequence 3. Find the sum of an arithmetic series
Lesson 2:  Arithmetic Sequences and Series
1. Find terms of an arithmetic sequence 2. Write a formula for an arithmetic sequence 3. Find the sum of an arithmetic series
Lesson 3:  Geometric Sequences and Series		1. Find terms of a geometric sequence 2. Write a formula for a geometric sequence 3. Find the sum of a finite geometric series
Lesson 3:  Geometric Sequences and Series
1. Find terms of a geometric sequence 2. Write a formula for a geometric sequence 3. Find the sum of a finite geometric series
Module 14 - Recursive Formulas for Sequences
Lesson 1:  Recursive Formulas for Arithmetic Sequences		1. Evaluate recursive formulas for sequences 2. Convert between explicit and recursive formulas: arithmetic sequences Also consider: • Write a formula for a recursive sequence
Lesson 1:  Recursive Formulas for Arithmetic Sequences
1. Evaluate recursive formulas for sequences 2. Convert between explicit and recursive formulas: arithmetic sequences Also consider: • Write a formula for a recursive sequence
Lesson 2:  Recursive Formulas for Geometric Sequences		1. Classify formulas and sequences 2. Convert between explicit and recursive formulas Also consider: • Sequences: mixed review
Lesson 2:  Recursive Formulas for Geometric Sequences
1. Classify formulas and sequences 2. Convert between explicit and recursive formulas Also consider: • Sequences: mixed review

7	Unit 7 Trigonometric Functions and Identities
Module 15 - Unit-Circle Definition of Trigonometric Functions
Lesson 1:  Angles of Rotation and Radian Measure		1. Convert between radians and degrees 2. Coterminal angles 3. Radians and arc length Also consider: • Quadrants • Graphs of angles
Lesson 1:  Angles of Rotation and Radian Measure
1. Convert between radians and degrees 2. Coterminal angles 3. Radians and arc length Also consider: • Quadrants • Graphs of angles
Lesson 2:  Define and Evaluate the Basic Trigonometric Functions		1. Trigonometric ratios: sin, cos, and tan 2. Sin, cos, and tan of special angles 3. Find trigonometric ratios using the unit circle: sin, cos, and tan Also consider: • Special right triangles
Lesson 2:  Define and Evaluate the Basic Trigonometric Functions
1. Trigonometric ratios: sin, cos, and tan 2. Sin, cos, and tan of special angles 3. Find trigonometric ratios using the unit circle: sin, cos, and tan Also consider: • Special right triangles
Lesson 3:  Use a Pythagorean Identity		1. Pythagorean identities: sine and cosine
Lesson 3:  Use a Pythagorean Identity
1. Pythagorean identities: sine and cosine
Module 16 - Graph Trigonometric Functions
Lesson 1:  Graph Sine and Cosine Functions		1. Graph sine and cosine functions 2. Determine the period and amplitude of a periodic function: graphs 3. Write equations of basic sine and cosine functions from graphs Also consider: • Graph sine functions • Graph cosine functions
Lesson 1:  Graph Sine and Cosine Functions
1. Graph sine and cosine functions 2. Determine the period and amplitude of a periodic function: graphs 3. Write equations of basic sine and cosine functions from graphs Also consider: • Graph sine functions • Graph cosine functions
Lesson 2:  Graph Tangent Functions
Lesson 2:  Graph Tangent Functions
Lesson 3:  Translations of Trigonometric Graphs		1. Graph translations of sine and cosine functions 2. Find properties of sine and cosine functions 3. Write equations of sine and cosine functions from graphs 4. Write equations of sine and cosine functions using properties Also consider: • Graph translations of sine functions • Graph translations of cosine functions
Lesson 3:  Translations of Trigonometric Graphs
1. Graph translations of sine and cosine functions 2. Find properties of sine and cosine functions 3. Write equations of sine and cosine functions from graphs 4. Write equations of sine and cosine functions using properties Also consider: • Graph translations of sine functions • Graph translations of cosine functions
Lesson 4:  Model Periodic Phenomena with Trigonometric Functions
Lesson 4:  Model Periodic Phenomena with Trigonometric Functions

8	Unit 8 Probability
Module 17 - Probability of Compound Events
Lesson 1:  Theoretical and Experimental Probability		1. Theoretical probability 2. Experimental probability Also consider: • Identify probability distributions • Calculate probabilities of events • Unions and intersections of sets
Lesson 1:  Theoretical and Experimental Probability
1. Theoretical probability 2. Experimental probability Also consider: • Identify probability distributions • Calculate probabilities of events • Unions and intersections of sets
Lesson 2:  Two-Way Tables and Probability		1. Find probabilities using two-way frequency tables
Lesson 2:  Two-Way Tables and Probability
1. Find probabilities using two-way frequency tables
Lesson 3:  Mutually Exclusive and Inclusive Events		1. Probability of mutually exclusive events and overlapping events 2. Find probabilities using the addition rule
Lesson 3:  Mutually Exclusive and Inclusive Events
1. Probability of mutually exclusive events and overlapping events 2. Find probabilities using the addition rule
Module 18 - Probability and Decision Making
Lesson 1:  Conditional Probability		1. Find conditional probabilities using two-way frequency tables 2. Find conditional probabilities
Lesson 1:  Conditional Probability
1. Find conditional probabilities using two-way frequency tables 2. Find conditional probabilities
Lesson 2:  Dependent and Independent Events		1. Identify independent events 2. Independence and conditional probability 3. Probability of independent and dependent events
Lesson 2:  Dependent and Independent Events
1. Identify independent events 2. Independence and conditional probability 3. Probability of independent and dependent events
Lesson 3:  Analyze Decisions
Lesson 3:  Analyze Decisions

9	Unit 9 Statistics
Module 19 - Data Distributions
Lesson 1:  Probability Distributions		1. Pascal's triangle 2. Find probabilities using the binomial distribution Also consider: • Graph a discrete probability distribution • Write the probability distribution for a game of chance
Lesson 1:  Probability Distributions
1. Pascal's triangle 2. Find probabilities using the binomial distribution Also consider: • Graph a discrete probability distribution • Write the probability distribution for a game of chance
Lesson 2:  Normal Distributions		1. Find probabilities using the normal distribution I 2. Find probabilities using the normal distribution II 3. Find z-values 4. Find values of normal variables
Lesson 2:  Normal Distributions
1. Find probabilities using the normal distribution I 2. Find probabilities using the normal distribution II 3. Find z-values 4. Find values of normal variables
Lesson 3:  Data-Gathering Techniques		1. Identify representative, random, and biased samples Also consider: • Identify biased samples
Lesson 3:  Data-Gathering Techniques
1. Identify representative, random, and biased samples Also consider: • Identify biased samples
Lesson 4:  Sampling Distributions		1. Distributions of sample means
Lesson 4:  Sampling Distributions
1. Distributions of sample means
Module 20 - Make Inferences from Data
Lesson 1:  Confidence Intervals and Margins of Error		1. Find confidence intervals for population proportions 2. Find confidence intervals for population means 3. Interpret confidence intervals for population means
Lesson 1:  Confidence Intervals and Margins of Error
1. Find confidence intervals for population proportions 2. Find confidence intervals for population means 3. Interpret confidence intervals for population means
Lesson 2:  Surveys, Experiments, and Observational Studies		1. Experiment design
Lesson 2:  Surveys, Experiments, and Observational Studies
1. Experiment design
Lesson 3:  Make Inferences from Experimental Data		1. Analyze the results of an experiment using simulations
Lesson 3:  Make Inferences from Experimental Data
1. Analyze the results of an experiment using simulations

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