Skill plan for SpringBoard Mathematics - Algebra 2

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1	Unit 1 Equations, Inequalities, and Functions
Activity 1 - Creating Equations—One to Two
Lesson 1-1: One-Variable Equations		1. Solve linear equations 2. Solve linear equations: word problems
Lesson 1-1: One-Variable Equations
1. Solve linear equations 2. Solve linear equations: word problems

Lesson 1-2: Two-Variable Equations		Slope 1. Find the slope of a linear function Equations 2. Write linear equations in standard form 3. Slope-intercept form: write an equation from a table 4. Write a linear function: word problems Graphs 5. Complete a table and graph a linear function
Lesson 1-2: Two-Variable Equations
Slope 1. Find the slope of a linear function Equations 2. Write linear equations in standard form 3. Slope-intercept form: write an equation from a table 4. Write a linear function: word problems Graphs 5. Complete a table and graph a linear function

Lesson 1-3: Absolute Value Equations and Inequalities		Equations 1. Solve absolute value equations 2. Graph solutions to absolute value equations Inequalities 3. Solve absolute value inequalities 4. Graph solutions to absolute value inequalities
Lesson 1-3: Absolute Value Equations and Inequalities
Equations 1. Solve absolute value equations 2. Graph solutions to absolute value equations Inequalities 3. Solve absolute value inequalities 4. Graph solutions to absolute value inequalities
Activity 2 - Graphing to Find Solutions—Choices
Lesson 2-1: Graphing Two-Variable Equations		1. Graph a linear function 2. Write the equation of a linear function
Lesson 2-1: Graphing Two-Variable Equations
1. Graph a linear function 2. Write the equation of a linear function

Lesson 2-2: Graphing Systems of Inequalities		1. Is (x, y) a solution to the system of inequalities? 2. Solve systems of linear inequalities by graphing 3. Write two-variable linear inequalities: word problems
Lesson 2-2: Graphing Systems of Inequalities
1. Is (x, y) a solution to the system of inequalities? 2. Solve systems of linear inequalities by graphing 3. Write two-variable linear inequalities: word problems
Activity 3 - Systems of Linear Equations—Monetary Systems Overload
Lesson 3-1: Solving Systems of Two Equations in Two Variables		Understand solutions 1. Is (x, y) a solution to the system of equations? 2. Find the number of solutions to a system of equations 3. Classify a system of equations Graphing 4. Solve a system of equations by graphing 5. Solve a system of equations by graphing: word problems Substitution 6. Solve a system of equations using substitution 7. Solve a system of equations using substitution: word problems Elimination 8. Solve a system of equations using elimination 9. Solve a system of equations using elimination: word problems Any method 10. Solve a system of equations using any method 11. Solve a system of equations using any method: word problems
Lesson 3-1: Solving Systems of Two Equations in Two Variables
Understand solutions 1. Is (x, y) a solution to the system of equations? 2. Find the number of solutions to a system of equations 3. Classify a system of equations Graphing 4. Solve a system of equations by graphing 5. Solve a system of equations by graphing: word problems Substitution 6. Solve a system of equations using substitution 7. Solve a system of equations using substitution: word problems Elimination 8. Solve a system of equations using elimination 9. Solve a system of equations using elimination: word problems Any method 10. Solve a system of equations using any method 11. Solve a system of equations using any method: word problems

Lesson 3-2: Solving Systems of Three Equations in Three Variables		1. Solve a system of equations in three variables using substitution 2. Solve a system of equations in three variables using elimination 3. Determine the number of solutions to a system of equations in three variables
Lesson 3-2: Solving Systems of Three Equations in Three Variables
1. Solve a system of equations in three variables using substitution 2. Solve a system of equations in three variables using elimination 3. Determine the number of solutions to a system of equations in three variables

Lesson 3-3: Matrix Operations		1. Add and subtract matrices 2. Multiply two matrices
Lesson 3-3: Matrix Operations
1. Add and subtract matrices 2. Multiply two matrices

Lesson 3-4: Solving Matrix Equations		Vocabulary 1. Matrix vocabulary Inverse matrices 2. Inverse of a matrix 3. Identify inverse matrices Matrix equations 4. Solve matrix equations using inverses
Lesson 3-4: Solving Matrix Equations
Vocabulary 1. Matrix vocabulary Inverse matrices 2. Inverse of a matrix 3. Identify inverse matrices Matrix equations 4. Solve matrix equations using inverses
Activity 4 - Piecewise-Defined Functions—Absolutely Piece-ful
Lesson 4-1: Introduction to Piecewise-Defined Functions
Lesson 4-1: Introduction to Piecewise-Defined Functions


Lesson 4-2: Step Functions and Absolute Value Functions		1. Graph an absolute value function 2. Domain and range of absolute value functions: graphs 3. Domain and range of absolute value functions: equations
Lesson 4-2: Step Functions and Absolute Value Functions
1. Graph an absolute value function 2. Domain and range of absolute value functions: graphs 3. Domain and range of absolute value functions: equations

Lesson 4-3: Transforming the Absolute Value Parent Function		1. Transformations of absolute value functions
Lesson 4-3: Transforming the Absolute Value Parent Function
1. Transformations of absolute value functions
Activity 5 - Function Composition and Operations—New from Old
Lesson 5-1: Operations with Functions		1. Evaluate functions 2. Add and subtract functions 3. Multiply functions 4. Divide functions
Lesson 5-1: Operations with Functions
1. Evaluate functions 2. Add and subtract functions 3. Multiply functions 4. Divide functions

Lesson 5-2: Function Composition
Lesson 5-2: Function Composition


Lesson 5-3: More Function Composition		Linear functions 1. Composition of linear functions: find a value 2. Composition of linear functions: find an equation Linear and quadratic functions 3. Composition of linear and quadratic functions: find a value 4. Composition of linear and quadratic functions: find an equation
Lesson 5-3: More Function Composition
Linear functions 1. Composition of linear functions: find a value 2. Composition of linear functions: find an equation Linear and quadratic functions 3. Composition of linear and quadratic functions: find a value 4. Composition of linear and quadratic functions: find an equation
Activity 6 - Inverse Functions—Old from New
Lesson 6-1: Finding Inverse Functions		1. Identify inverse functions
Lesson 6-1: Finding Inverse Functions
1. Identify inverse functions

Lesson 6-2: Graphs of Inverse Functions		1. Find values of inverse functions from tables 2. Find values of inverse functions from graphs
Lesson 6-2: Graphs of Inverse Functions
1. Find values of inverse functions from tables 2. Find values of inverse functions from graphs

2	Unit 2 Quadratic Functions
Activity 7 - Applications of Quadratic Functions—Fences
Lesson 7-1: Analyzing a Quadratic Function
Lesson 7-1: Analyzing a Quadratic Function


Lesson 7-2: Factoring Quadratic Expressions		1. Factor quadratics using algebra tiles 2. Factor quadratics
Lesson 7-2: Factoring Quadratic Expressions
1. Factor quadratics using algebra tiles 2. Factor quadratics

Lesson 7-3: Solving Quadratic Equations by Factoring		1. Solve a quadratic equation using the zero product property 2. Write a quadratic function from its zeros 3. Solve a quadratic equation by factoring
Lesson 7-3: Solving Quadratic Equations by Factoring
1. Solve a quadratic equation using the zero product property 2. Write a quadratic function from its zeros 3. Solve a quadratic equation by factoring

Lesson 7-4: More Uses for Factors		1. Graph solutions to quadratic inequalities 2. Solve quadratic inequalities
Lesson 7-4: More Uses for Factors
1. Graph solutions to quadratic inequalities 2. Solve quadratic inequalities
Activity 8 - Introduction to Complex Numbers—Cardano's Imaginary Numbers
Lesson 8-1: The Imaginary Unit, i		1. Introduction to complex numbers 2. Introduction to the complex plane 3. Graph complex numbers
Lesson 8-1: The Imaginary Unit, i
1. Introduction to complex numbers 2. Introduction to the complex plane 3. Graph complex numbers

Lesson 8-2: Operations with Complex Numbers		1. Add and subtract complex numbers 2. Complex conjugates 3. Multiply complex numbers 4. Divide complex numbers 5. Add, subtract, multiply, and divide complex numbers
Lesson 8-2: Operations with Complex Numbers
1. Add and subtract complex numbers 2. Complex conjugates 3. Multiply complex numbers 4. Divide complex numbers 5. Add, subtract, multiply, and divide complex numbers

Lesson 8-3: Factoring with Complex Numbers
Lesson 8-3: Factoring with Complex Numbers

Activity 9 - Solving ax² + bx + c = 0—Deriving the Quadratic Formula
Lesson 9-1: Completing the Square and Taking Square Roots		1. Solve a quadratic equation using square roots 2. Complete the square 3. Solve a quadratic equation by completing the square
Lesson 9-1: Completing the Square and Taking Square Roots
1. Solve a quadratic equation using square roots 2. Complete the square 3. Solve a quadratic equation by completing the square

Lesson 9-2: The Quadratic Formula		1. Solve a quadratic equation using the quadratic formula
Lesson 9-2: The Quadratic Formula
1. Solve a quadratic equation using the quadratic formula

Lesson 9-3: Solutions of Quadratic Equations		1. Using the discriminant
Lesson 9-3: Solutions of Quadratic Equations
1. Using the discriminant
Activity 10 - Writing Quadratic Equations—What Goes Up Must Come Down
Lesson 10-1: Parabolas and Quadratic Equations		Key features 1. Identify the direction a parabola opens 2. Find the vertex of a parabola 3. Find the focus or directrix of a parabola 4. Find the axis of symmetry of a parabola Equations of parabolas 5. Write equations of parabolas in vertex form from graphs 6. Write equations of parabolas in vertex form using properties
Lesson 10-1: Parabolas and Quadratic Equations
Key features 1. Identify the direction a parabola opens 2. Find the vertex of a parabola 3. Find the focus or directrix of a parabola 4. Find the axis of symmetry of a parabola Equations of parabolas 5. Write equations of parabolas in vertex form from graphs 6. Write equations of parabolas in vertex form using properties

Lesson 10-2: Writing a Quadratic Function Given Three Points
Lesson 10-2: Writing a Quadratic Function Given Three Points


Lesson 10-3: Quadratic Regression
Lesson 10-3: Quadratic Regression

Activity 11 - Transformations of y = x²—Parent Parabola
Lesson 11-1: Translations of Parabolas
Lesson 11-1: Translations of Parabolas


Lesson 11-2: Shrinking, Stretching, and Reflecting Parabolas		1. Transformations of quadratic functions 2. Match quadratic functions and graphs
Lesson 11-2: Shrinking, Stretching, and Reflecting Parabolas
1. Transformations of quadratic functions 2. Match quadratic functions and graphs

Lesson 11-3: Vertex Form		1. Write a quadratic function in vertex form from its vertex and another point
Lesson 11-3: Vertex Form
1. Write a quadratic function in vertex form from its vertex and another point
Activity 12 - Graphing Quadratics and Quadratic Inequalities—Calendar Art
Lesson 12-1: Key Features of Quadratic Functions
Lesson 12-1: Key Features of Quadratic Functions


Lesson 12-2: More Key Features of Quadratic Functions		1. Characteristics of quadratic functions: graphs 2. Characteristics of quadratic functions: equations
Lesson 12-2: More Key Features of Quadratic Functions
1. Characteristics of quadratic functions: graphs 2. Characteristics of quadratic functions: equations

Lesson 12-3: Graphing Quadratic Functions		1. Graph a quadratic function
Lesson 12-3: Graphing Quadratic Functions
1. Graph a quadratic function

Lesson 12-4: The Discriminant		1. Using the discriminant
Lesson 12-4: The Discriminant
1. Using the discriminant

Lesson 12-5: Graphing Quadratic Inequalities
Lesson 12-5: Graphing Quadratic Inequalities

Activity 13 - Systems of Linear and Nonlinear Equations—Supply and Demand
Lesson 13-1: Solving a System Graphically
Lesson 13-1: Solving a System Graphically


Lesson 13-2: Solving a System Algebraically		1. Solve a system of linear and quadratic equations: parabolas
Lesson 13-2: Solving a System Algebraically
1. Solve a system of linear and quadratic equations: parabolas

3	Unit 3 Polynomials
Activity 14 - Introduction to Polynomials—Postal Service
Lesson 14-1: Polynomials
Lesson 14-1: Polynomials


Lesson 14-2: Some Attributes of Polynomial Functions		1. Polynomial vocabulary
Lesson 14-2: Some Attributes of Polynomial Functions
1. Polynomial vocabulary

Lesson 14-3: Even and Odd Functions
Lesson 14-3: Even and Odd Functions

Activity 15 - Polynomial Operations—Polly's Pasta
Lesson 15-1: Adding and Subtracting Polynomials		1. Add and subtract polynomials
Lesson 15-1: Adding and Subtracting Polynomials
1. Add and subtract polynomials

Lesson 15-2: Multiplying Polynomials		1. Multiply polynomials
Lesson 15-2: Multiplying Polynomials
1. Multiply polynomials

Lesson 15-3: Dividing Polynomials		1. Divide polynomials using long division 2. Divide polynomials using synthetic division 3. Evaluate polynomials using synthetic division
Lesson 15-3: Dividing Polynomials
1. Divide polynomials using long division 2. Divide polynomials using synthetic division 3. Evaluate polynomials using synthetic division
Activity 16 - Binomial Theorem—Pascal's Triangle
Lesson 16-1: Introduction to Pascal's Triangle		1. Pascal's triangle 2. Combinations and permutations
Lesson 16-1: Introduction to Pascal's Triangle
1. Pascal's triangle 2. Combinations and permutations

Lesson 16-2: Applying the Binomial Theorem		1. Pascal's triangle and the Binomial Theorem 2. Binomial Theorem I 3. Binomial Theorem II
Lesson 16-2: Applying the Binomial Theorem
1. Pascal's triangle and the Binomial Theorem 2. Binomial Theorem I 3. Binomial Theorem II
Activity 17 - Factors of Polynomials—How Many Roots?
Lesson 17-1: Algebraic Methods		1. Factor out a monomial 2. Factor using a quadratic pattern 3. Factor by grouping 4. Factor sums and differences of cubes 5. Factor polynomials
Lesson 17-1: Algebraic Methods
1. Factor out a monomial 2. Factor using a quadratic pattern 3. Factor by grouping 4. Factor sums and differences of cubes 5. Factor polynomials

Lesson 17-2: The Fundamental Theorem of Algebra		1. Fundamental Theorem of Algebra 2. Complex conjugate theorem
Lesson 17-2: The Fundamental Theorem of Algebra
1. Fundamental Theorem of Algebra 2. Complex conjugate theorem
Activity 18 - Graphs of Polynomials—Getting to the End Behavior
Lesson 18-1: Graphing Polynomial Functions		1. Match polynomials and graphs 2. Domain and range of polynomials 3. Write a polynomial from its roots
Lesson 18-1: Graphing Polynomial Functions
1. Match polynomials and graphs 2. Domain and range of polynomials 3. Write a polynomial from its roots

Lesson 18-2: Finding the Roots of a Polynomial Function		1. Rational root theorem 2. Descartes' Rule of Signs
Lesson 18-2: Finding the Roots of a Polynomial Function
1. Rational root theorem 2. Descartes' Rule of Signs

Lesson 18-3: Comparing Polynomial Functions
Lesson 18-3: Comparing Polynomial Functions

4	Unit 4 Series, Exponential and Logarithmic Functions
Activity 19 - Arithmetic Sequences and Series—Arithmetic Alkanes
Lesson 19-1: Arithmetic Sequences		1. Find terms of an arithmetic sequence 2. Write a formula for an arithmetic sequence
Lesson 19-1: Arithmetic Sequences
1. Find terms of an arithmetic sequence 2. Write a formula for an arithmetic sequence

Lesson 19-2: Arithmetic Series		1. Introduction to partial sums 2. Partial sums of arithmetic series
Lesson 19-2: Arithmetic Series
1. Introduction to partial sums 2. Partial sums of arithmetic series

Lesson 19-3: Sigma Notation		1. Introduction to sigma notation 2. Find the sum of an arithmetic series
Lesson 19-3: Sigma Notation
1. Introduction to sigma notation 2. Find the sum of an arithmetic series
Activity 20 - Geometric Sequences and Series—Squares with Patterns
Lesson 20-1: Geometric Sequences		Geometric sequences 1. Find terms of a geometric sequence 2. Write a formula for a geometric sequence Mixed sequences 3. Classify formulas and sequences 4. Sequences: mixed review 5. Evaluate explicit formulas for sequences 6. Evaluate recursive formulas for sequences
Lesson 20-1: Geometric Sequences
Geometric sequences 1. Find terms of a geometric sequence 2. Write a formula for a geometric sequence Mixed sequences 3. Classify formulas and sequences 4. Sequences: mixed review 5. Evaluate explicit formulas for sequences 6. Evaluate recursive formulas for sequences

Lesson 20-2: Geometric Series		Geometric series 1. Find the sum of a finite geometric series 2. Partial sums of geometric series Mixed series 3. Identify arithmetic and geometric series 4. Partial sums: mixed review
Lesson 20-2: Geometric Series
Geometric series 1. Find the sum of a finite geometric series 2. Partial sums of geometric series Mixed series 3. Identify arithmetic and geometric series 4. Partial sums: mixed review

Lesson 20-3: Convergence of Series		1. Convergent and divergent geometric series 2. Find the value of an infinite geometric series
Lesson 20-3: Convergence of Series
1. Convergent and divergent geometric series 2. Find the value of an infinite geometric series
Activity 21 - Exponential Functions and Graphs—Sizing Up the Situation
Lesson 21-1: Exploring Exponential Patterns		1. Identify linear and exponential functions Also consider: • Identify linear and exponential functions from tables
Lesson 21-1: Exploring Exponential Patterns
1. Identify linear and exponential functions Also consider: • Identify linear and exponential functions from tables

Lesson 21-2: Exponential Functions		1. Describe linear and exponential growth and decay 2. Exponential growth and decay: word problems
Lesson 21-2: Exponential Functions
1. Describe linear and exponential growth and decay 2. Exponential growth and decay: word problems

Lesson 21-3: Exponential Graphs and Asymptotes
Lesson 21-3: Exponential Graphs and Asymptotes


Lesson 21-4: Transforming Exponential Functions		1. Match exponential functions and graphs
Lesson 21-4: Transforming Exponential Functions
1. Match exponential functions and graphs

Lesson 21-5: Natural Base Exponential Functions
Lesson 21-5: Natural Base Exponential Functions

Activity 22 - Logarithms and Their Properties—Earthquakes and Richter Scale
Lesson 22-1: Exponential Data
Lesson 22-1: Exponential Data


Lesson 22-2: The Common Logarithm Function		1. Common logarithms
Lesson 22-2: The Common Logarithm Function
1. Common logarithms

Lesson 22-3: Properties of Logarithms		1. Product and quotient property of logarithms
Lesson 22-3: Properties of Logarithms
1. Product and quotient property of logarithms

Lesson 22-4: More Properties of Logarithms		1. Power property of logarithms 2. Properties of logarithms
Lesson 22-4: More Properties of Logarithms
1. Power property of logarithms 2. Properties of logarithms
Activity 23 - Inverse Functions: Exponentials and Logarithms—Undoing it All
Lesson 23-1: Logarithms in Other Bases		1. Identify inverse functions
Lesson 23-1: Logarithms in Other Bases
1. Identify inverse functions

Lesson 23-2: Properties of Logarithms and the Change of Base Formula		Exponential and logarithmic forms 1. Convert between exponential and logarithmic form: rational bases 2. Convert between natural exponential and logarithmic form 3. Convert between exponential and logarithmic form: all bases Evaluate logarithms 4. Evaluate logarithms 5. Evaluate natural logarithms Properties of logarithms 6. Properties of logarithms: mixed review Change of base formula 7. Change of base formula
Lesson 23-2: Properties of Logarithms and the Change of Base Formula
Exponential and logarithmic forms 1. Convert between exponential and logarithmic form: rational bases 2. Convert between natural exponential and logarithmic form 3. Convert between exponential and logarithmic form: all bases Evaluate logarithms 4. Evaluate logarithms 5. Evaluate natural logarithms Properties of logarithms 6. Properties of logarithms: mixed review Change of base formula 7. Change of base formula

Lesson 23-3: Graphs of Logarithmic Functions		1. Domain and range of logarithmic functions
Lesson 23-3: Graphs of Logarithmic Functions
1. Domain and range of logarithmic functions
Activity 24 - Logarithmic and Exponential Equations and Inequalities—College Costs
Lesson 24-1: Exponential Equations		1. Solve exponential equations by rewriting the base
Lesson 24-1: Exponential Equations
1. Solve exponential equations by rewriting the base

Lesson 24-2: Solving Equations by Using Logarithms		Exponential equations 1. Solve exponential equations using common logarithms 2. Solve exponential equations using natural logarithms Compound interest 3. Compound interest: word problems 4. Continuously compounded interest: word problems
Lesson 24-2: Solving Equations by Using Logarithms
Exponential equations 1. Solve exponential equations using common logarithms 2. Solve exponential equations using natural logarithms Compound interest 3. Compound interest: word problems 4. Continuously compounded interest: word problems

Lesson 24-3: Logarithmic Equations		1. Solve logarithmic equations I 2. Solve logarithmic equations II 3. Evaluate logarithms using properties
Lesson 24-3: Logarithmic Equations
1. Solve logarithmic equations I 2. Solve logarithmic equations II 3. Evaluate logarithms using properties

Lesson 24-4: Exponential and Logarithmic Inequalities
Lesson 24-4: Exponential and Logarithmic Inequalities

5	Unit 5 Radical and Rational Functions
Activity 25 - Square Root and Cube Root Functions—Go, Boat, Go!
Lesson 25-1: Square Root Functions		1. Domain and range of radical functions
Lesson 25-1: Square Root Functions
1. Domain and range of radical functions

Lesson 25-2: Solving Square Root Equations		1. Solve radical equations
Lesson 25-2: Solving Square Root Equations
1. Solve radical equations

Lesson 25-3: Cube Root Functions
Lesson 25-3: Cube Root Functions


Lesson 25-4: Solving Cube Root Equations
Lesson 25-4: Solving Cube Root Equations

Activity 26 - Inverses: Roots, Squares, and Cubes—Swing, Swing, Swing
Lesson 26-1: Square Root Functions and Regressions
Lesson 26-1: Square Root Functions and Regressions


Lesson 26-2: Square Root and Quadratic Functions
Lesson 26-2: Square Root and Quadratic Functions


Lesson 26-3: Cube Root and Cubic Functions		1. Find inverse functions and relations
Lesson 26-3: Cube Root and Cubic Functions
1. Find inverse functions and relations
Activity 27 - Introduction to Rational Functions—Planning a Summer Camp
Lesson 27-1: Formulating and Graphing a Rational Function		1. Evaluate rational expressions I
Lesson 27-1: Formulating and Graphing a Rational Function
1. Evaluate rational expressions I

Lesson 27-2: Formulating and Graphing More Rational Functions		1. Evaluate rational expressions II
Lesson 27-2: Formulating and Graphing More Rational Functions
1. Evaluate rational expressions II

Lesson 27-3: Identifying Asymptotes		1. Rational functions: asymptotes and excluded values
Lesson 27-3: Identifying Asymptotes
1. Rational functions: asymptotes and excluded values
Activity 28 - Inverse Variation and Rational Functions—Stream Survival
Lesson 28-1: Inverse Variation and Combined Variation		Constant of variation 1. Find the constant of variation Equations 2. Write and solve inverse variation equations 3. Write joint and combined variation equations I 4. Write joint and combined variation equations II
Lesson 28-1: Inverse Variation and Combined Variation
Constant of variation 1. Find the constant of variation Equations 2. Write and solve inverse variation equations 3. Write joint and combined variation equations I 4. Write joint and combined variation equations II

Lesson 28-2: Transformations of the Parent Rational Function
Lesson 28-2: Transformations of the Parent Rational Function

Activity 29 - Simplifying Rational Expressions—It's All Rational
Lesson 29-1: Multiplying and Dividing Rational Expressions		1. Simplify rational expressions 2. Multiply and divide rational expressions
Lesson 29-1: Multiplying and Dividing Rational Expressions
1. Simplify rational expressions 2. Multiply and divide rational expressions

Lesson 29-2: Adding and Subtracting Rational Expressions		1. Add and subtract rational expressions
Lesson 29-2: Adding and Subtracting Rational Expressions
1. Add and subtract rational expressions

Lesson 29-3: Finding Horizontal and Vertical Asymptotes		1. Rational functions: asymptotes and excluded values
Lesson 29-3: Finding Horizontal and Vertical Asymptotes
1. Rational functions: asymptotes and excluded values

Lesson 29-4: Graphing Rational Functions
Lesson 29-4: Graphing Rational Functions

Activity 30 - Rational Equations and Inequalities—A Rational Pastime
Lesson 30-1: Solving Rational Equations		1. Solve rational equations
Lesson 30-1: Solving Rational Equations
1. Solve rational equations

Lesson 30-2: Solving Rational Inequalities
Lesson 30-2: Solving Rational Inequalities

6	Unit 6 Trigonometry
Activity 31 - Understanding Radian Measure—Revolving Restaurant
Lesson 31-1: Radian Measure
Lesson 31-1: Radian Measure


Lesson 31-2: Applying Radian Measure		1. Convert between radians and degrees 2. Radians and arc length
Lesson 31-2: Applying Radian Measure
1. Convert between radians and degrees 2. Radians and arc length
Activity 32 - Trigonometric Functions—Which Angle is Up?
Lesson 32-1: Placing the Unit Circle on the Coordinate Plane		Coordinate plane 1. Graphs of angles 2. Quadrants Angles 3. Coterminal angles 4. Reference angles
Lesson 32-1: Placing the Unit Circle on the Coordinate Plane
Coordinate plane 1. Graphs of angles 2. Quadrants Angles 3. Coterminal angles 4. Reference angles

Lesson 32-2: Special Right Triangles and the Unit Circle		1. Trigonometric ratios: sin, cos, and tan 2. Special right triangles
Lesson 32-2: Special Right Triangles and the Unit Circle
1. Trigonometric ratios: sin, cos, and tan 2. Special right triangles
Activity 33 - Trigonometric Identities: Pythagorean Connection—More Than Just Triangles
Lesson 33-1: The Pythagorean Identity
Lesson 33-1: The Pythagorean Identity


Lesson 33-2: Other Trigonometric Identities		1. Trigonometric ratios: csc, sec, and cot 2. Find trigonometric ratios using a Pythagorean or reciprocal identity
Lesson 33-2: Other Trigonometric Identities
1. Trigonometric ratios: csc, sec, and cot 2. Find trigonometric ratios using a Pythagorean or reciprocal identity
Activity 34 - Graphs of Trigonometric Functions—Creation of a Mural
Lesson 34-1: Periodic Functions
Lesson 34-1: Periodic Functions


Lesson 34-2: The Sine Function		1. Graph sine functions
Lesson 34-2: The Sine Function
1. Graph sine functions

Lesson 34-3: The Cosine Function		1. Graph cosine functions
Lesson 34-3: The Cosine Function
1. Graph cosine functions

Lesson 34-4: The Tangent Function
Lesson 34-4: The Tangent Function


Lesson 34-5: Translating Trigonometric Functions		Sine function 1. Find properties of sine functions 2. Write equations of sine functions from graphs 3. Write equations of sine functions using properties 4. Graph translations of sine functions Cosine function 5. Find properties of cosine functions 6. Write equations of cosine functions from graphs 7. Write equations of cosine functions using properties 8. Graph translations of cosine functions Mixed review 9. Graph sine and cosine functions 10. Graph translations of sine and cosine functions
Lesson 34-5: Translating Trigonometric Functions
Sine function 1. Find properties of sine functions 2. Write equations of sine functions from graphs 3. Write equations of sine functions using properties 4. Graph translations of sine functions Cosine function 5. Find properties of cosine functions 6. Write equations of cosine functions from graphs 7. Write equations of cosine functions using properties 8. Graph translations of cosine functions Mixed review 9. Graph sine and cosine functions 10. Graph translations of sine and cosine functions
Activity 35 - Choosing Functions to Model Periodic Phenomena—The Sky Wheel
Lesson 35-1: Modeling Periodic Phenomena
Lesson 35-1: Modeling Periodic Phenomena

7	Unit 7 Probability and Statistics
Activity 36 - Normal Distribution—Take Me Out to the Ballgame
Lesson 36-1: Shapes of Distributions		1. Mean, median, mode, and range 2. Create line plots 3. Interpret histograms 4. Variance and standard deviation
Lesson 36-1: Shapes of Distributions
1. Mean, median, mode, and range 2. Create line plots 3. Interpret histograms 4. Variance and standard deviation

Lesson 36-2: Characteristics of the Normal Distribution
Lesson 36-2: Characteristics of the Normal Distribution


Lesson 36-3: Z-Scores and their Probabilities		Probabilities 1. Find probabilities using the normal distribution I 2. Find probabilities using the normal distribution II Z-values 3. Find z-values Normal variables 4. Find values of normal variables
Lesson 36-3: Z-Scores and their Probabilities
Probabilities 1. Find probabilities using the normal distribution I 2. Find probabilities using the normal distribution II Z-values 3. Find z-values Normal variables 4. Find values of normal variables

Lesson 36-4: Modeling with the Normal Distribution
Lesson 36-4: Modeling with the Normal Distribution

Activity 37 - Random Sampling—Part-Time Jobs
Lesson 37-1: Surveys		1. Identify biased samples
Lesson 37-1: Surveys
1. Identify biased samples

Lesson 37-2: Experiments		1. Experiment design
Lesson 37-2: Experiments
1. Experiment design

Lesson 37-3: Observational Studies
Lesson 37-3: Observational Studies

Activity 38 - Simulations—Is Martin Improving?
Lesson 38-1: Devising Simulations
Lesson 38-1: Devising Simulations


Lesson 38-2: Confirming Data with Simulations		1. Analyze the results of an experiment using simulations
Lesson 38-2: Confirming Data with Simulations
1. Analyze the results of an experiment using simulations
Activity 39 - Margin of Error—Can't Get No Satisfaction
Lesson 39-1: Introduction to Margin of Error
Lesson 39-1: Introduction to Margin of Error


Lesson 39-2: Computing Margin of Error		1. Standard deviation of random variables
Lesson 39-2: Computing Margin of Error
1. Standard deviation of random variables
Activity 40 - Designing and Conducting Simulations—Time Flies When You Are Having Fun
Lesson 40-1: Random Chance		1. Analyze the results of an experiment using simulations
Lesson 40-1: Random Chance
1. Analyze the results of an experiment using simulations

Lesson 40-2: Testing Statistical Significance
Lesson 40-2: Testing Statistical Significance

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