IXL skill plan | Algebra 2 plan for McGraw Hill Texas Math

Skill plan for McGraw Hill Texas Math - Algebra 2

IXL provides skill alignments with recommended IXL skills for each chapter. Find the IXL skills that are right for you below!

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0	Chapter 0 Preparing for Advanced Algebra
Lesson 0-1: Representing Functions		1. Domain and range 2. Identify functions
Lesson 0-1: Representing Functions
1. Domain and range 2. Identify functions

Lesson 0-2: FOIL		1. Multiply two binomials 2. Multiply two binomials: special cases
Lesson 0-2: FOIL
1. Multiply two binomials 2. Multiply two binomials: special cases

Lesson 0-3: Factoring Polynomials		1. Factor out a monomial 2. Factor quadratics 3. Factor quadratics with leading coefficient 1 4. Factor quadratics with other leading coefficients 5. Factor quadratics: special cases
Lesson 0-3: Factoring Polynomials
1. Factor out a monomial 2. Factor quadratics 3. Factor quadratics with leading coefficient 1 4. Factor quadratics with other leading coefficients 5. Factor quadratics: special cases

Lesson 0-4: Counting Techniques		1. Counting principle 2. Combinations and permutations
Lesson 0-4: Counting Techniques
1. Counting principle 2. Combinations and permutations

Lesson 0-5: Adding Probabilities		1. Identify probability distributions 2. Calculate probabilities of events 3. Find probabilities using two-way frequency tables 4. Find probabilities using the addition rule
Lesson 0-5: Adding Probabilities
1. Identify probability distributions 2. Calculate probabilities of events 3. Find probabilities using two-way frequency tables 4. Find probabilities using the addition rule

Lesson 0-6: Multiplying Probabilities		Independent and dependent events 1. Identify independent events 2. Probability of independent and dependent events Conditional probability 3. Find conditional probabilities 4. Independence and conditional probability 5. Find conditional probabilities using two-way frequency tables
Lesson 0-6: Multiplying Probabilities
Independent and dependent events 1. Identify independent events 2. Probability of independent and dependent events Conditional probability 3. Find conditional probabilities 4. Independence and conditional probability 5. Find conditional probabilities using two-way frequency tables

Lesson 0-7: Congruent and Similar Figures		1. Similarity statements 2. Identify similar figures 3. Congruence statements and corresponding parts
Lesson 0-7: Congruent and Similar Figures
1. Similarity statements 2. Identify similar figures 3. Congruence statements and corresponding parts

Lesson 0-8: The Pythagorean Theorem		1. Pythagorean Theorem and its converse
Lesson 0-8: The Pythagorean Theorem
1. Pythagorean Theorem and its converse

Lesson 0-9: Measures of Center, Spread, and Position		Measures of center and spread 1. Mean, median, mode, and range 2. Calculate quartiles and interquartile range 3. Mean absolute deviation 4. Variance and standard deviation Outliers 5. Identify an outlier 6. Identify an outlier and describe the effect of removing it
Lesson 0-9: Measures of Center, Spread, and Position
Measures of center and spread 1. Mean, median, mode, and range 2. Calculate quartiles and interquartile range 3. Mean absolute deviation 4. Variance and standard deviation Outliers 5. Identify an outlier 6. Identify an outlier and describe the effect of removing it

1	Chapter 1 Equations and Inequalities
Lesson 1-1: Expressions and Formulas		1. Evaluate variable expressions involving integers 2. Evaluate variable expressions involving rational numbers
Lesson 1-1: Expressions and Formulas
1. Evaluate variable expressions involving integers 2. Evaluate variable expressions involving rational numbers

Lesson 1-2: Properties of Real Numbers		Rational and irrational numbers 1. Sort rational and irrational numbers 2. Classify rational and irrational numbers Properties of real numbers 3. Simplify variable expressions using properties
Lesson 1-2: Properties of Real Numbers
Rational and irrational numbers 1. Sort rational and irrational numbers 2. Classify rational and irrational numbers Properties of real numbers 3. Simplify variable expressions using properties

Lesson 1-3: Solving Equations		Linear equations 1. Solve linear equations 2. Solve linear equations: word problems 3. Solve linear equations: complete the solution Multi-variable equations 4. Rearrange multi-variable equations
Lesson 1-3: Solving Equations
Linear equations 1. Solve linear equations 2. Solve linear equations: word problems 3. Solve linear equations: complete the solution Multi-variable equations 4. Rearrange multi-variable equations

Lesson 1-4: Solving Absolute Value Equations		1. Solve absolute value equations 2. Graph solutions to absolute value equations 3. Write absolute value equations from graphs
Lesson 1-4: Solving Absolute Value Equations
1. Solve absolute value equations 2. Graph solutions to absolute value equations 3. Write absolute value equations from graphs

Lesson 1-5: Solving Inequalities		1. Graph inequalities 2. Write inequalities from graphs 3. Solve linear inequalities 4. Graph solutions to linear inequalities
Lesson 1-5: Solving Inequalities
1. Graph inequalities 2. Write inequalities from graphs 3. Solve linear inequalities 4. Graph solutions to linear inequalities

Lesson 1-6: Solving Compound and Absolute Value Inequalities		1. Solve absolute value inequalities 2. Graph solutions to absolute value inequalities
Lesson 1-6: Solving Compound and Absolute Value Inequalities
1. Solve absolute value inequalities 2. Graph solutions to absolute value inequalities

2	Chapter 2 Linear Relations and Functions
Lesson 2-1: Relations and Functions		1. Identify functions 2. Evaluate functions
Lesson 2-1: Relations and Functions
1. Identify functions 2. Evaluate functions

Lesson 2-2: Linear Relations and Functions		Identify linear functions 1. Identify linear functions from graphs and equations Standard form 2. Standard form: find x- and y-intercepts 3. Standard form: graph a line from an equation
Lesson 2-2: Linear Relations and Functions
Identify linear functions 1. Identify linear functions from graphs and equations Standard form 2. Standard form: find x- and y-intercepts 3. Standard form: graph a line from an equation

Lesson 2-3: Rate of Change and Slope		1. Find the slope of a linear function
Lesson 2-3: Rate of Change and Slope
1. Find the slope of a linear function

Lesson 2-4: Writing Linear Equations		Linear functions 1. Graph a linear function 2. Write the equation of a linear function Direct variation 3. Write and solve direct variation equations
Lesson 2-4: Writing Linear Equations
Linear functions 1. Graph a linear function 2. Write the equation of a linear function Direct variation 3. Write and solve direct variation equations

Lesson 2-5: Scatter Plots and Lines of Regression		1. Find the equation of a regression line 2. Interpret regression lines 3. Analyze a regression line of a data set
Lesson 2-5: Scatter Plots and Lines of Regression
1. Find the equation of a regression line 2. Interpret regression lines 3. Analyze a regression line of a data set

Lesson 2-6: Special Functions		1. Find values using function graphs 2. Complete a table for a function graph 3. Graph an absolute value function
Lesson 2-6: Special Functions
1. Find values using function graphs 2. Complete a table for a function graph 3. Graph an absolute value function

Lesson 2-7: Parent Functions and Transformations		Absolute value functions 1. Transformations of absolute value functions Linear, quadratic, and absolute value functions 2. Function transformation rules 3. Translations of functions 4. Reflections of functions 5. Dilations of functions 6. Transformations of functions 7. Describe function transformations
Lesson 2-7: Parent Functions and Transformations
Absolute value functions 1. Transformations of absolute value functions Linear, quadratic, and absolute value functions 2. Function transformation rules 3. Translations of functions 4. Reflections of functions 5. Dilations of functions 6. Transformations of functions 7. Describe function transformations

Lesson 2-8: Graphing Linear and Absolute Value Inequalities		1. Graph a two-variable linear inequality 2. Graph solutions to two-variable absolute value inequalities 3. Write two-variable linear inequalities: word problems
Lesson 2-8: Graphing Linear and Absolute Value Inequalities
1. Graph a two-variable linear inequality 2. Graph solutions to two-variable absolute value inequalities 3. Write two-variable linear inequalities: word problems

3	Chapter 3 Systems of Equations and Inequalities
Lesson 3-1: Solving Systems of Equations		Solutions to systems of equations 1. Is (x, y) a solution to the system of equations? 2. Find the number of solutions to a system of equations Classify systems 3. Classify a system of equations Solve by graphing 4. Solve a system of equations by graphing 5. Solve a system of equations by graphing: word problems Solve using substitution 6. Solve a system of equations using substitution 7. Solve a system of equations using substitution: word problems Solve using elimination 8. Solve a system of equations using elimination 9. Solve a system of equations using elimination: word problems Solve using 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 Equations
Solutions to systems of equations 1. Is (x, y) a solution to the system of equations? 2. Find the number of solutions to a system of equations Classify systems 3. Classify a system of equations Solve by graphing 4. Solve a system of equations by graphing 5. Solve a system of equations by graphing: word problems Solve using substitution 6. Solve a system of equations using substitution 7. Solve a system of equations using substitution: word problems Solve using elimination 8. Solve a system of equations using elimination 9. Solve a system of equations using elimination: word problems Solve using 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 Inequalities by Graphing		1. Is (x, y) a solution to the system of inequalities? 2. Solve systems of linear inequalities by graphing
Lesson 3-2: Solving Systems of Inequalities by Graphing
1. Is (x, y) a solution to the system of inequalities? 2. Solve systems of linear inequalities by graphing

Lesson 3-3: Optimization with Linear Programming		1. Find the vertices of a solution set for a system of linear inequalities 2. Linear programming
Lesson 3-3: Optimization with Linear Programming
1. Find the vertices of a solution set for a system of linear inequalities 2. Linear programming

Lesson 3-4: Systems of 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 3-4: Systems of 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 3-5: Operations with Matrices		Matrix vocabulary 1. Matrix vocabulary Operations 2. Add and subtract matrices 3. Multiply a matrix by a scalar 4. Add and subtract scalar multiples of matrices
Lesson 3-5: Operations with Matrices
Matrix vocabulary 1. Matrix vocabulary Operations 2. Add and subtract matrices 3. Multiply a matrix by a scalar 4. Add and subtract scalar multiples of matrices

Lesson 3-6: Multiplying Matrices		Multiplication 1. Multiply two matrices Mixed operations 2. Matrix operation rules 3. Simplify matrix expressions 4. Properties of matrices
Lesson 3-6: Multiplying Matrices
Multiplication 1. Multiply two matrices Mixed operations 2. Matrix operation rules 3. Simplify matrix expressions 4. Properties of matrices

Lesson 3-7: Solving Systems of Equations Using Cramer's Rule		1. Determinant of a matrix
Lesson 3-7: Solving Systems of Equations Using Cramer's Rule
1. Determinant of a matrix

Lesson 3-8: Solving Systems of Equations Using Inverse Matrices		Inverse matrices 1. Is a matrix invertible? 2. Inverse of a matrix 3. Identify inverse matrices Matrix equations 4. Solve matrix equations using inverses Augmented matrices 5. Solve a system of equations using augmented matrices 6. Solve a system of equations using augmented matrices: word problems
Lesson 3-8: Solving Systems of Equations Using Inverse Matrices
Inverse matrices 1. Is a matrix invertible? 2. Inverse of a matrix 3. Identify inverse matrices Matrix equations 4. Solve matrix equations using inverses Augmented matrices 5. Solve a system of equations using augmented matrices 6. Solve a system of equations using augmented matrices: word problems

4	Chapter 4 Quadratic Functions and Relations
Lesson 4-1: Graphing Quadratic Functions		Characteristics of quadratic functions 1. Characteristics of quadratic functions: graphs 2. Characteristics of quadratic functions: equations Function tables 3. Complete a function table: quadratic functions Graphs 4. Match quadratic functions and graphs 5. Write a quadratic function from three points
Lesson 4-1: Graphing Quadratic Functions
Characteristics of quadratic functions 1. Characteristics of quadratic functions: graphs 2. Characteristics of quadratic functions: equations Function tables 3. Complete a function table: quadratic functions Graphs 4. Match quadratic functions and graphs 5. Write a quadratic function from three points

Lesson 4-2: Solving Quadratic Equations by Graphing
Lesson 4-2: Solving Quadratic Equations by Graphing


Lesson 4-3: Solving Quadratic Equations by Factoring		1. Solve a quadratic equation using the zero product property 2. Solve a quadratic equation by factoring 3. Write a quadratic function from its zeros
Lesson 4-3: Solving Quadratic Equations by Factoring
1. Solve a quadratic equation using the zero product property 2. Solve a quadratic equation by factoring 3. Write a quadratic function from its zeros

Lesson 4-4: Complex Numbers		Understand complex numbers 1. Introduction to complex numbers Operations with complex numbers 2. Add and subtract complex numbers 3. Multiply complex numbers 4. Complex conjugates 5. Divide complex numbers 6. Add, subtract, multiply, and divide complex numbers Solve quadratic equations using square roots 7. Solve a quadratic equation using square roots
Lesson 4-4: Complex Numbers
Understand complex numbers 1. Introduction to complex numbers Operations with complex numbers 2. Add and subtract complex numbers 3. Multiply complex numbers 4. Complex conjugates 5. Divide complex numbers 6. Add, subtract, multiply, and divide complex numbers Solve quadratic equations using square roots 7. Solve a quadratic equation using square roots

Lesson 4-5: Completing the Square		1. Complete the square 2. Solve a quadratic equation by completing the square
Lesson 4-5: Completing the Square
1. Complete the square 2. Solve a quadratic equation by completing the square

Lesson 4-6: The Quadratic Formula and the Discriminant		1. Solve a quadratic equation using the quadratic formula 2. Using the discriminant
Lesson 4-6: The Quadratic Formula and the Discriminant
1. Solve a quadratic equation using the quadratic formula 2. Using the discriminant

Lesson 4-7: Transformations of Quadratic Graphs		1. Transformations of quadratic functions 2. Graph a quadratic function
Lesson 4-7: Transformations of Quadratic Graphs
1. Transformations of quadratic functions 2. Graph a quadratic function

Lesson 4-8: Quadratic Inequalities		1. Graph solutions to quadratic inequalities 2. Solve quadratic inequalities
Lesson 4-8: Quadratic Inequalities
1. Graph solutions to quadratic inequalities 2. Solve quadratic inequalities

5	Chapter 5 Polynomials and Polynomial Functions
Lesson 5-1: Operations with Polynomials		1. Add and subtract polynomials 2. Multiply polynomials
Lesson 5-1: Operations with Polynomials
1. Add and subtract polynomials 2. Multiply polynomials

Lesson 5-2: Dividing Polynomials		1. Divide polynomials using long division 2. Divide polynomials using synthetic division
Lesson 5-2: Dividing Polynomials
1. Divide polynomials using long division 2. Divide polynomials using synthetic division

Lesson 5-3: Polynomial Functions		1. Polynomial vocabulary 2. Domain and range of polynomials
Lesson 5-3: Polynomial Functions
1. Polynomial vocabulary 2. Domain and range of polynomials

Lesson 5-4: Analyzing Graphs of Polynomial Functions		1. Match polynomials and graphs Also consider: • Match cubic functions and graphs
Lesson 5-4: Analyzing Graphs of Polynomial Functions
1. Match polynomials and graphs Also consider: • Match cubic functions and graphs

Lesson 5-5: Solving Polynomial Equations		Factor polynomials 1. Factor using a quadratic pattern 2. Factor by grouping 3. Factor sums and differences of cubes 4. Factor polynomials Solve polynomial equations 5. Solve polynomial equations
Lesson 5-5: Solving Polynomial Equations
Factor polynomials 1. Factor using a quadratic pattern 2. Factor by grouping 3. Factor sums and differences of cubes 4. Factor polynomials Solve polynomial equations 5. Solve polynomial equations

Lesson 5-6: The Remainder and Factor Theorems		1. Find the roots of factored polynomials 2. Evaluate polynomials using synthetic division
Lesson 5-6: The Remainder and Factor Theorems
1. Find the roots of factored polynomials 2. Evaluate polynomials using synthetic division

Lesson 5-7: Roots and Zeros		1. Fundamental Theorem of Algebra 2. Descartes' Rule of Signs 3. Complex conjugate theorem 4. Write a polynomial from its roots
Lesson 5-7: Roots and Zeros
1. Fundamental Theorem of Algebra 2. Descartes' Rule of Signs 3. Complex conjugate theorem 4. Write a polynomial from its roots

Lesson 5-8: Rational Zero Theorem		1. Rational root theorem
Lesson 5-8: Rational Zero Theorem
1. Rational root theorem

6	Chapter 6 Inverses and Radical Functions and Relations
Lesson 6-1: Operations on Functions		Operations on functions 1. Add and subtract functions 2. Multiply functions 3. Divide functions Function composition 4. Composition of linear functions: find a value 5. Composition of linear functions: find an equation 6. Composition of linear and quadratic functions: find a value 7. Composition of linear and quadratic functions: find an equation
Lesson 6-1: Operations on Functions
Operations on functions 1. Add and subtract functions 2. Multiply functions 3. Divide functions Function composition 4. Composition of linear functions: find a value 5. Composition of linear functions: find an equation 6. Composition of linear and quadratic functions: find a value 7. Composition of linear and quadratic functions: find an equation

Lesson 6-2: Inverse Functions and Relations		1. Identify inverse functions 2. Graphs of inverse functions 3. Find values of inverse functions from tables 4. Find values of inverse functions from graphs 5. Find inverse functions and relations
Lesson 6-2: Inverse Functions and Relations
1. Identify inverse functions 2. Graphs of inverse functions 3. Find values of inverse functions from tables 4. Find values of inverse functions from graphs 5. Find inverse functions and relations

Lesson 6-3: Square Root Functions and Inequalities		1. Domain and range of radical functions
Lesson 6-3: Square Root Functions and Inequalities
1. Domain and range of radical functions

Lesson 6-4: nth Roots		1. Find roots using a calculator
Lesson 6-4: nth Roots
1. Find roots using a calculator

Lesson 6-5: Operations with Radical Expressions		Roots of rational numbers 1. Roots of integers 2. Roots of rational numbers Operations with radical expressions 3. Multiply radical expressions 4. Simplify radical expressions involving fractions 5. Add and subtract radical expressions Simplify radical expressions 6. Simplify radical expressions with variables I 7. Simplify radical expressions with variables II 8. Nth roots 9. Simplify radical expressions using the distributive property 10. Simplify radical expressions using conjugates
Lesson 6-5: Operations with Radical Expressions
Roots of rational numbers 1. Roots of integers 2. Roots of rational numbers Operations with radical expressions 3. Multiply radical expressions 4. Simplify radical expressions involving fractions 5. Add and subtract radical expressions Simplify radical expressions 6. Simplify radical expressions with variables I 7. Simplify radical expressions with variables II 8. Nth roots 9. Simplify radical expressions using the distributive property 10. Simplify radical expressions using conjugates

Lesson 6-6: Rational Exponents		Evaluate rational exponents 1. Evaluate rational exponents Simplify expressions with rational exponents 2. Multiplication with rational exponents 3. Division with rational exponents 4. Power rule 5. Simplify expressions involving rational exponents I 6. Simplify expressions involving rational exponents II
Lesson 6-6: Rational Exponents
Evaluate rational exponents 1. Evaluate rational exponents Simplify expressions with rational exponents 2. Multiplication with rational exponents 3. Division with rational exponents 4. Power rule 5. Simplify expressions involving rational exponents I 6. Simplify expressions involving rational exponents II

Lesson 6-7: Solving Radical Equations and Inequalities		1. Solve radical equations
Lesson 6-7: Solving Radical Equations and Inequalities
1. Solve radical equations

7	Chapter 7 Exponential and Logarithmic Functions and Relations
Lesson 7-1: Graphing Exponential Functions		1. Evaluate exponential functions 2. Match exponential functions and graphs
Lesson 7-1: Graphing Exponential Functions
1. Evaluate exponential functions 2. Match exponential functions and graphs

Lesson 7-2: Solving Exponential Equations and Inequalities		1. Solve exponential equations by rewriting the base 2. Exponential growth and decay: word problems
Lesson 7-2: Solving Exponential Equations and Inequalities
1. Solve exponential equations by rewriting the base 2. Exponential growth and decay: word problems

Lesson 7-3: Logarithms and Logarithmic Functions		1. Domain and range of logarithmic functions 2. Convert between exponential and logarithmic form: rational bases
Lesson 7-3: Logarithms and Logarithmic Functions
1. Domain and range of logarithmic functions 2. Convert between exponential and logarithmic form: rational bases

Lesson 7-4: Solving Logarithmic Equations and Inequalities
Lesson 7-4: Solving Logarithmic Equations and Inequalities


Lesson 7-5: Properties of Logarithms		1. Identify properties of logarithms 2. Product property of logarithms 3. Quotient property of logarithms 4. Power property of logarithms 5. Properties of logarithms: mixed review 6. Evaluate logarithms using properties
Lesson 7-5: Properties of Logarithms
1. Identify properties of logarithms 2. Product property of logarithms 3. Quotient property of logarithms 4. Power property of logarithms 5. Properties of logarithms: mixed review 6. Evaluate logarithms using properties

Lesson 7-6: Common Logarithms		Evaluate logarithms 1. Evaluate logarithms 2. Change of base formula Solve logarithmic equations 3. Solve logarithmic equations I 4. Solve logarithmic equations II Solve exponential equations 5. Solve exponential equations using common logarithms
Lesson 7-6: Common Logarithms
Evaluate logarithms 1. Evaluate logarithms 2. Change of base formula Solve logarithmic equations 3. Solve logarithmic equations I 4. Solve logarithmic equations II Solve exponential equations 5. Solve exponential equations using common logarithms

Lesson 7-7: Base e and Natural Logarithms		Convert between forms 1. Convert between natural exponential and logarithmic form 2. Convert between exponential and logarithmic form: all bases Evaluate natural logarithms 3. Evaluate natural logarithms Solve exponential equations 4. Solve exponential equations using natural logarithms 5. Continuously compounded interest: word problems
Lesson 7-7: Base e and Natural Logarithms
Convert between forms 1. Convert between natural exponential and logarithmic form 2. Convert between exponential and logarithmic form: all bases Evaluate natural logarithms 3. Evaluate natural logarithms Solve exponential equations 4. Solve exponential equations using natural logarithms 5. Continuously compounded interest: word problems

Lesson 7-8: Using Exponential and Logarithmic Functions		1. Compound interest: word problems
Lesson 7-8: Using Exponential and Logarithmic Functions
1. Compound interest: word problems

8	Chapter 8 Rational Functions and Relations
Lesson 8-1: Multiplying and Dividing Rational Expressions		1. Simplify rational expressions 2. Multiply and divide rational expressions
Lesson 8-1: Multiplying and Dividing Rational Expressions
1. Simplify rational expressions 2. Multiply and divide rational expressions

Lesson 8-2: Adding and Subtracting Rational Expressions		1. Add and subtract rational expressions 2. Simplify complex fractions
Lesson 8-2: Adding and Subtracting Rational Expressions
1. Add and subtract rational expressions 2. Simplify complex fractions

Lesson 8-3: Graphing Reciprocal Functions		1. Rational functions: asymptotes and excluded values
Lesson 8-3: Graphing Reciprocal Functions
1. Rational functions: asymptotes and excluded values

Lesson 8-4: Graphing Rational Functions
Lesson 8-4: Graphing Rational Functions


Lesson 8-5: Variation Functions		Classify variation 1. Classify variation Constant of variation 2. Find the constant of variation Write and solve variation equations 3. Write and solve direct variation equations 4. Write and solve inverse variation equations 5. Write joint and combined variation equations I 6. Write joint and combined variation equations II 7. Solve variation equations
Lesson 8-5: Variation Functions
Classify variation 1. Classify variation Constant of variation 2. Find the constant of variation Write and solve variation equations 3. Write and solve direct variation equations 4. Write and solve inverse variation equations 5. Write joint and combined variation equations I 6. Write joint and combined variation equations II 7. Solve variation equations

Lesson 8-6: Solving Rational Equations and Inequalities		1. Solve rational equations
Lesson 8-6: Solving Rational Equations and Inequalities
1. Solve rational equations

9	Chapter 9 Conic Sections
Lesson 9-1: Midpoint and Distance Formulas		1. Midpoint formula: find the midpoint 2. Distance formula
Lesson 9-1: Midpoint and Distance Formulas
1. Midpoint formula: find the midpoint 2. Distance formula

Lesson 9-2: Parabolas		Characteristics of parabolas 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 Vertex form 5. Write equations of parabolas in vertex form from graphs 6. Write equations of parabolas in vertex form using properties General form 7. Convert equations of parabolas from general to vertex form 8. Find properties of a parabola from equations in general form Graph parabolas 9. Graph parabolas
Lesson 9-2: Parabolas
Characteristics of parabolas 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 Vertex form 5. Write equations of parabolas in vertex form from graphs 6. Write equations of parabolas in vertex form using properties General form 7. Convert equations of parabolas from general to vertex form 8. Find properties of a parabola from equations in general form Graph parabolas 9. Graph parabolas

Lesson 9-3: Circles		Characteristics of circles 1. Find the center of a circle 2. Find the radius or diameter of a circle Standard form 3. Write equations of circles in standard form from graphs 4. Write equations of circles in standard form using properties General form 5. Convert equations of circles from general to standard form 6. Find properties of circles from equations in general form Graph circles 7. Graph circles
Lesson 9-3: Circles
Characteristics of circles 1. Find the center of a circle 2. Find the radius or diameter of a circle Standard form 3. Write equations of circles in standard form from graphs 4. Write equations of circles in standard form using properties General form 5. Convert equations of circles from general to standard form 6. Find properties of circles from equations in general form Graph circles 7. Graph circles

Lesson 9-4: Ellipses		Characteristics of ellipses 1. Find the center, vertices, or co-vertices of an ellipse 2. Find the length of the major or minor axis of an ellipse 3. Find the foci of an ellipse Standard form 4. Write equations of ellipses in standard form from graphs 5. Write equations of ellipses in standard form using properties General form 6. Convert equations of ellipses from general to standard form 7. Find properties of ellipses from equations in general form
Lesson 9-4: Ellipses
Characteristics of ellipses 1. Find the center, vertices, or co-vertices of an ellipse 2. Find the length of the major or minor axis of an ellipse 3. Find the foci of an ellipse Standard form 4. Write equations of ellipses in standard form from graphs 5. Write equations of ellipses in standard form using properties General form 6. Convert equations of ellipses from general to standard form 7. Find properties of ellipses from equations in general form

Lesson 9-5: Hyperbolas		Characteristics of hyperbolas 1. Find the center of a hyperbola 2. Find the vertices of a hyperbola 3. Find the length of the transverse or conjugate axes of a hyperbola 4. Find the equations for the asymptotes of a hyperbola 5. Find the foci of a hyperbola Standard form 6. Write equations of hyperbolas in standard form from graphs 7. Write equations of hyperbolas in standard form using properties General form 8. Convert equations of hyperbolas from general to standard form 9. Find properties of hyperbolas from equations in general form
Lesson 9-5: Hyperbolas
Characteristics of hyperbolas 1. Find the center of a hyperbola 2. Find the vertices of a hyperbola 3. Find the length of the transverse or conjugate axes of a hyperbola 4. Find the equations for the asymptotes of a hyperbola 5. Find the foci of a hyperbola Standard form 6. Write equations of hyperbolas in standard form from graphs 7. Write equations of hyperbolas in standard form using properties General form 8. Convert equations of hyperbolas from general to standard form 9. Find properties of hyperbolas from equations in general form

Lesson 9-6: Identifying Conic Sections
Lesson 9-6: Identifying Conic Sections


Lesson 9-7: Solving Linear-Nonlinear Systems		1. Solve a system of linear and quadratic equations: parabolas Also consider: • Solve a system of quadratic equations by graphing: parabolas • Solve a nonlinear system of equations
Lesson 9-7: Solving Linear-Nonlinear Systems
1. Solve a system of linear and quadratic equations: parabolas Also consider: • Solve a system of quadratic equations by graphing: parabolas • Solve a nonlinear system of equations

10	Chapter 10 Sequences and Series
Lesson 10-1: Sequences as Functions		1. Find terms of an arithmetic sequence 2. Find terms of a geometric sequence
Lesson 10-1: Sequences as Functions
1. Find terms of an arithmetic sequence 2. Find terms of a geometric sequence

Lesson 10-2: Arithmetic Sequences and Series		1. Write a formula for an arithmetic sequence 2. Find the sum of an arithmetic series
Lesson 10-2: Arithmetic Sequences and Series
1. Write a formula for an arithmetic sequence 2. Find the sum of an arithmetic series

Lesson 10-3: Geometric Sequences and Series		1. Identify arithmetic and geometric series 2. Write a formula for a geometric sequence 3. Find the sum of a finite geometric series
Lesson 10-3: Geometric Sequences and Series
1. Identify arithmetic and geometric series 2. Write a formula for a geometric sequence 3. Find the sum of a finite geometric series

Lesson 10-4: Infinite Geometric Series		1. Introduction to sigma notation 2. Convergent and divergent geometric series 3. Find the value of an infinite geometric series 4. Write a repeating decimal as a fraction
Lesson 10-4: Infinite Geometric Series
1. Introduction to sigma notation 2. Convergent and divergent geometric series 3. Find the value of an infinite geometric series 4. Write a repeating decimal as a fraction

Lesson 10-5: Recursion and Iteration		1. Classify formulas and sequences 2. Evaluate recursive formulas for sequences 3. Write a formula for a recursive sequence 4. Sequences: mixed review
Lesson 10-5: Recursion and Iteration
1. Classify formulas and sequences 2. Evaluate recursive formulas for sequences 3. Write a formula for a recursive sequence 4. Sequences: mixed review

Lesson 10-6: The Binomial Theorem		1. Pascal's triangle 2. Pascal's triangle and the Binomial Theorem 3. Binomial Theorem I 4. Binomial Theorem II
Lesson 10-6: The Binomial Theorem
1. Pascal's triangle 2. Pascal's triangle and the Binomial Theorem 3. Binomial Theorem I 4. Binomial Theorem II

Lesson 10-7: Proof by Mathematical Induction
Lesson 10-7: Proof by Mathematical Induction

11	Chapter 11 Statistics and Probability
Lesson 11-1: Designing a Study		1. Identify biased samples 2. Experiment design
Lesson 11-1: Designing a Study
1. Identify biased samples 2. Experiment design

Lesson 11-2: Distributions of Data		1. Identify an outlier
Lesson 11-2: Distributions of Data
1. Identify an outlier

Lesson 11-3: Probability Distributions		Discrete and continuous random variables 1. Identify discrete and continuous random variables Probability distribution 2. Write a discrete probability distribution 3. Graph a discrete probability distribution Statistics of random variables 4. Expected values of random variables 5. Variance of random variables 6. Standard deviation of random variables
Lesson 11-3: Probability Distributions
Discrete and continuous random variables 1. Identify discrete and continuous random variables Probability distribution 2. Write a discrete probability distribution 3. Graph a discrete probability distribution Statistics of random variables 4. Expected values of random variables 5. Variance of random variables 6. Standard deviation of random variables

Lesson 11-4: The Binomial Distribution		1. Find probabilities using the binomial distribution
Lesson 11-4: The Binomial Distribution
1. Find probabilities using the binomial distribution

Lesson 11-5: The Normal Distribution		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 11-5: The Normal Distribution
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 11-6: Confidence Intervals and Hypothesis Testing		1. Find confidence intervals for population means 2. Interpret confidence intervals for population means
Lesson 11-6: Confidence Intervals and Hypothesis Testing
1. Find confidence intervals for population means 2. Interpret confidence intervals for population means

12	Chapter 12 Trigonometric Functions
Lesson 12-1: Trigonometric Functions in Right Triangles		Special right triangles 1. Special right triangles Use trigonometric ratios 2. Trigonometric ratios: sin, cos, and tan 3. Trigonometric ratios: csc, sec, and cot 4. Trigonometric ratios: find a side length Use inverses of trigonometric ratios 5. Inverses of sin, cos, and tan: degrees 6. Trigonometric ratios: find an angle measure Solve a right triangle 7. Solve a right triangle
Lesson 12-1: Trigonometric Functions in Right Triangles
Special right triangles 1. Special right triangles Use trigonometric ratios 2. Trigonometric ratios: sin, cos, and tan 3. Trigonometric ratios: csc, sec, and cot 4. Trigonometric ratios: find a side length Use inverses of trigonometric ratios 5. Inverses of sin, cos, and tan: degrees 6. Trigonometric ratios: find an angle measure Solve a right triangle 7. Solve a right triangle

Lesson 12-2: Angles and Angle Measure		Angles 1. Graphs of angles 2. Coterminal angles Radians and angle measure 3. Convert between radians and degrees 4. Radians and arc length
Lesson 12-2: Angles and Angle Measure
Angles 1. Graphs of angles 2. Coterminal angles Radians and angle measure 3. Convert between radians and degrees 4. Radians and arc length

Lesson 12-3: Trigonometric Functions of General Angles		1. Quadrants 2. Reference angles 3. Sin, cos, and tan of special angles 4. Csc, sec, and cot of special angles
Lesson 12-3: Trigonometric Functions of General Angles
1. Quadrants 2. Reference angles 3. Sin, cos, and tan of special angles 4. Csc, sec, and cot of special angles

Lesson 12-4: Law of Sines		1. Area of a triangle: sine formula 2. Area of a triangle: Law of Sines 3. Law of Sines
Lesson 12-4: Law of Sines
1. Area of a triangle: sine formula 2. Area of a triangle: Law of Sines 3. Law of Sines

Lesson 12-5: Law of Cosines		1. Law of Cosines 2. Solve a triangle
Lesson 12-5: Law of Cosines
1. Law of Cosines 2. Solve a triangle

Lesson 12-6: Circles and Periodic Functions		1. Find trigonometric ratios using the unit circle
Lesson 12-6: Circles and Periodic Functions
1. Find trigonometric ratios using the unit circle

Lesson 12-7: Graphing Trigonometric Functions		1. Find properties of sine and cosine functions: degrees 2. Graph sine and cosine functions: degrees
Lesson 12-7: Graphing Trigonometric Functions
1. Find properties of sine and cosine functions: degrees 2. Graph sine and cosine functions: degrees

Lesson 12-8: Translations of Trigonometric Graphs		1. Write equations of sine and cosine functions from graphs 2. Write equations of sine and cosine functions using properties 3. Graph translations of sine and cosine functions
Lesson 12-8: Translations of Trigonometric Graphs
1. Write equations of sine and cosine functions from graphs 2. Write equations of sine and cosine functions using properties 3. Graph translations of sine and cosine functions

Lesson 12-9: Inverse Trigonometric Functions		1. Inverses of sin, cos, and tan: radians
Lesson 12-9: Inverse Trigonometric Functions
1. Inverses of sin, cos, and tan: radians

13	Chapter 13 Trigonometric Identities and Equations
Lesson 13-1: Trigonometric Identities		1. Complementary angle identities 2. Find trigonometric ratios using a Pythagorean or reciprocal identity 3. Find trigonometric ratios using multiple identities 4. Symmetry and periodicity of trigonometric functions
Lesson 13-1: Trigonometric Identities
1. Complementary angle identities 2. Find trigonometric ratios using a Pythagorean or reciprocal identity 3. Find trigonometric ratios using multiple identities 4. Symmetry and periodicity of trigonometric functions

Lesson 13-2: Verifying Trigonometric Identities
Lesson 13-2: Verifying Trigonometric Identities


Lesson 13-3: Sum and Difference of Angles Identities		1. Trigonometric sum and difference identities
Lesson 13-3: Sum and Difference of Angles Identities
1. Trigonometric sum and difference identities

Lesson 13-4: Double-Angle and Half-Angle Identities
Lesson 13-4: Double-Angle and Half-Angle Identities


Lesson 13-5: Solving Trigonometric Equations		1. Solve trigonometric equations I 2. Solve trigonometric equations II
Lesson 13-5: Solving Trigonometric Equations
1. Solve trigonometric equations I 2. Solve trigonometric equations II

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