IXL skill plan | Precalculus plan for McGraw Hill Texas Math

Skill plan for McGraw Hill Texas Math - Precalculus

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 Precalculus
Lesson 0-1: Sets
Lesson 0-1: Sets


Lesson 0-2: Operations with Complex Numbers		Powers of i 1. Powers of i Operations with complex numbers 2. Add and subtract complex numbers 3. Multiply and divide complex numbers 4. Add, subtract, multiply, and divide complex numbers Complex conjugates 5. Complex conjugates
Lesson 0-2: Operations with Complex Numbers
Powers of i 1. Powers of i Operations with complex numbers 2. Add and subtract complex numbers 3. Multiply and divide complex numbers 4. Add, subtract, multiply, and divide complex numbers Complex conjugates 5. Complex conjugates

Lesson 0-3: Quadratic Functions and Equations		Graph quadratic functions 1. Characteristics of quadratic functions 2. Graph a quadratic function 3. Find the maximum or minimum value of a quadratic function Solve quadratic functions 4. Solve a quadratic equation using the zero product property 5. Solve a quadratic equation using square roots 6. Solve a quadratic equation by factoring 7. Solve a quadratic equation by completing the square 8. Solve a quadratic equation using the quadratic formula
Lesson 0-3: Quadratic Functions and Equations
Graph quadratic functions 1. Characteristics of quadratic functions 2. Graph a quadratic function 3. Find the maximum or minimum value of a quadratic function Solve quadratic functions 4. Solve a quadratic equation using the zero product property 5. Solve a quadratic equation using square roots 6. Solve a quadratic equation by factoring 7. Solve a quadratic equation by completing the square 8. Solve a quadratic equation using the quadratic formula

Lesson 0-4: nth Roots and Real Exponents		Radicals 1. Nth roots 2. Roots of integers 3. Roots of rational numbers 4. Find roots using a calculator Rational exponents 5. Evaluate rational exponents 6. Operations with rational exponents Simplify radical expressions 7. Simplify radical expressions with variables 8. Simplify expressions involving rational exponents
Lesson 0-4: nth Roots and Real Exponents
Radicals 1. Nth roots 2. Roots of integers 3. Roots of rational numbers 4. Find roots using a calculator Rational exponents 5. Evaluate rational exponents 6. Operations with rational exponents Simplify radical expressions 7. Simplify radical expressions with variables 8. Simplify expressions involving rational exponents

Lesson 0-5: Systems of Linear Equations and Inequalities		System of equation in two variables 1. Solve a system of equations by graphing 2. Classify a system of equations 3. Solve a system of equations using substitution 4. Solve a system of equations using elimination Real-world scenario 5. Solve a system of equations by graphing: word problems 6. Solve a system of equations using substitution: word problems 7. Solve a system of equations using elimination: word problems System of equations in three variables 8. Determine the number of solutions to a system of equations in three variables System of inequalities 9. Is (x, y) a solution to the system of inequalities?
Lesson 0-5: Systems of Linear Equations and Inequalities
System of equation in two variables 1. Solve a system of equations by graphing 2. Classify a system of equations 3. Solve a system of equations using substitution 4. Solve a system of equations using elimination Real-world scenario 5. Solve a system of equations by graphing: word problems 6. Solve a system of equations using substitution: word problems 7. Solve a system of equations using elimination: word problems System of equations in three variables 8. Determine the number of solutions to a system of equations in three variables System of inequalities 9. Is (x, y) a solution to the system of inequalities?

Lesson 0-6: Matrix Operations		Describe and anaylze matrices 1. Matrix vocabulary 2. Matrix operation rules Matrix operations 3. Add and subtract matrices 4. Multiply a matrix by a scalar 5. Add and subtract scalar multiples of matrices
Lesson 0-6: Matrix Operations
Describe and anaylze matrices 1. Matrix vocabulary 2. Matrix operation rules Matrix operations 3. Add and subtract matrices 4. Multiply a matrix by a scalar 5. Add and subtract scalar multiples of matrices

Lesson 0-7: Probability with Permutations and Combinations		1. Identify probability distributions 2. Calculate probabilities of events 3. Combinations and permutations 4. Find probabilities using combinations and permutations 5. Identify independent events
Lesson 0-7: Probability with Permutations and Combinations
1. Identify probability distributions 2. Calculate probabilities of events 3. Combinations and permutations 4. Find probabilities using combinations and permutations 5. Identify independent events

Lesson 0-8: Statistics		1. Mean, median, mode, and range 2. Calculate quartiles and interquartile range 3. Box plots 4. Interpret bar graphs, line graphs, and histograms 5. Create bar graphs, line graphs, and histograms 6. Variance and standard deviation
Lesson 0-8: Statistics
1. Mean, median, mode, and range 2. Calculate quartiles and interquartile range 3. Box plots 4. Interpret bar graphs, line graphs, and histograms 5. Create bar graphs, line graphs, and histograms 6. Variance and standard deviation

1	Chapter 1 Functions from a Calculus Perspective
Lesson 1-1: Functions		1. Identify functions 2. Evaluate functions
Lesson 1-1: Functions
1. Identify functions 2. Evaluate functions

Lesson 1-2: Anaylzing Graphs of Functions and Relations		Evaulate functions 1. Find values using function graphs 2. Complete a table for a function graph 3. Evaluate exponential functions Quadratic functions 4. Match quadratic functions and graphs 5. Characteristics of quadratic functions Polynomial functions 6. Find the roots of factored polynomials 7. Match polynomials and graphs Domain and range 8. Domain and range 9. Domain and range of absolute value functions: graphs 10. Domain and range of absolute value functions: equations Even and odd functions 11. Even and odd functions
Lesson 1-2: Anaylzing Graphs of Functions and Relations
Evaulate functions 1. Find values using function graphs 2. Complete a table for a function graph 3. Evaluate exponential functions Quadratic functions 4. Match quadratic functions and graphs 5. Characteristics of quadratic functions Polynomial functions 6. Find the roots of factored polynomials 7. Match polynomials and graphs Domain and range 8. Domain and range 9. Domain and range of absolute value functions: graphs 10. Domain and range of absolute value functions: equations Even and odd functions 11. Even and odd functions

Lesson 1-3: Continuity, End Behavior, and Limits		End behavior 1. Identify graphs of continuous functions 2. Determine continuity using graphs Continuity 3. Determine one-sided continuity using graphs 4. Find and analyze points of discontinuity using graphs 5. Determine continuity on an interval using graphs 6. Determine the continuity of a piecewise function at a point 7. Make a piecewise function continuous Intermediate value theorem 8. Intermediate Value Theorem
Lesson 1-3: Continuity, End Behavior, and Limits
End behavior 1. Identify graphs of continuous functions 2. Determine continuity using graphs Continuity 3. Determine one-sided continuity using graphs 4. Find and analyze points of discontinuity using graphs 5. Determine continuity on an interval using graphs 6. Determine the continuity of a piecewise function at a point 7. Make a piecewise function continuous Intermediate value theorem 8. Intermediate Value Theorem

Lesson 1-4: Extrema and Average Rates of Change		1. Average rate of change I 2. Average rate of change II
Lesson 1-4: Extrema and Average Rates of Change
1. Average rate of change I 2. Average rate of change II

Lesson 1-5: Parent Functions and Transformations		1. Function transformation rules 2. Translations of functions 3. Reflections of functions 4. Dilations of functions 5. Transformations of functions 6. Describe function transformations
Lesson 1-5: Parent Functions and Transformations
1. Function transformation rules 2. Translations of functions 3. Reflections of functions 4. Dilations of functions 5. Transformations of functions 6. Describe function transformations

Lesson 1-6: Function Operations and Composition of Functions		1. Add, subtract, multiply, and divide functions 2. Composition of functions
Lesson 1-6: Function Operations and Composition of Functions
1. Add, subtract, multiply, and divide functions 2. Composition of functions

Lesson 1-7: Inverse Relations and Functions		1. Identify inverse functions 2. Find values of inverse functions from tables 3. Find values of inverse functions from graphs 4. Find inverse functions and relations 5. Check whether two rational functions are inverses 6. Graphs of inverse functions
Lesson 1-7: Inverse Relations and Functions
1. Identify inverse functions 2. Find values of inverse functions from tables 3. Find values of inverse functions from graphs 4. Find inverse functions and relations 5. Check whether two rational functions are inverses 6. Graphs of inverse functions

2	Chapter 2 Power, Polynomial, and Rational Functions
Lesson 2-1: Power and Rational Functions		1. Solve radical equations 2. Domain and range of radical functions
Lesson 2-1: Power and Rational Functions
1. Solve radical equations 2. Domain and range of radical functions

Lesson 2-2: Polynomial Functions		Factoring 1. Factor out a monomial 2. Factor sums and differences of cubes 3. Factor using a quadratic pattern 4. Find the roots of factored polynomials Polynomial functions 5. Match polynomials and graphs 6. Domain and range of polynomials
Lesson 2-2: Polynomial Functions
Factoring 1. Factor out a monomial 2. Factor sums and differences of cubes 3. Factor using a quadratic pattern 4. Find the roots of factored polynomials Polynomial functions 5. Match polynomials and graphs 6. Domain and range of polynomials

Lesson 2-3: The Remainder and Factor Theorems		1. Divide polynomials using long division 2. Divide polynomials using synthetic division 3. Evaluate polynomials using synthetic division
Lesson 2-3: The Remainder and Factor Theorems
1. Divide polynomials using long division 2. Divide polynomials using synthetic division 3. Evaluate polynomials using synthetic division

Lesson 2-4: Zeros of Polynomial Functions		Theorems 1. Rational root theorem 2. Descartes' Rule of Signs 3. Fundamental Theorem of Algebra Write a polynomial 4. Write a polynomial from its roots Solve equations 5. Solve equations using a quadratic pattern 6. Solve equations with sums and differences of cubes 7. Solve polynomial equations Complex roots 8. Complex conjugate theorem 9. Conjugate root theorems
Lesson 2-4: Zeros of Polynomial Functions
Theorems 1. Rational root theorem 2. Descartes' Rule of Signs 3. Fundamental Theorem of Algebra Write a polynomial 4. Write a polynomial from its roots Solve equations 5. Solve equations using a quadratic pattern 6. Solve equations with sums and differences of cubes 7. Solve polynomial equations Complex roots 8. Complex conjugate theorem 9. Conjugate root theorems

Lesson 2-5: Rational Functions		Simplify rational expressions 1. Simplify rational expressions 2. Multiply and divide rational expressions 3. Add and subtract rational expressions Solve rational equations 4. Solve rational equations Rational functions 5. Rational functions: asymptotes and excluded values
Lesson 2-5: Rational Functions
Simplify rational expressions 1. Simplify rational expressions 2. Multiply and divide rational expressions 3. Add and subtract rational expressions Solve rational equations 4. Solve rational equations Rational functions 5. Rational functions: asymptotes and excluded values

Lesson 2-6: Nonlinear Inequalities		1. Graph solutions to quadratic inequalities 2. Solve quadratic inequalities 3. Graph solutions to higher-degree inequalities 4. Solve higher-degree inequalities
Lesson 2-6: Nonlinear Inequalities
1. Graph solutions to quadratic inequalities 2. Solve quadratic inequalities 3. Graph solutions to higher-degree inequalities 4. Solve higher-degree inequalities

3	Chapter 3 Exponential and Logarithmic Functions
Lesson 3-1: Exponential Functions		Graphs of exponential functions 1. Linear and exponential functions over unit intervals 2. Identify linear and exponential functions 3. Match exponential functions and graphs 4. Describe linear and exponential growth and decay Real-world scenarios 5. Exponential growth and decay: word problems 6. Compound interest: word problems 7. Continuously compounded interest: word problems
Lesson 3-1: Exponential Functions
Graphs of exponential functions 1. Linear and exponential functions over unit intervals 2. Identify linear and exponential functions 3. Match exponential functions and graphs 4. Describe linear and exponential growth and decay Real-world scenarios 5. Exponential growth and decay: word problems 6. Compound interest: word problems 7. Continuously compounded interest: word problems

Lesson 3-2: Logarithmic Functions		1. Evaluate logarithms 2. Convert between exponential and logarithmic form 3. Graph logarithmic functions 4. Domain and range of logarithmic functions
Lesson 3-2: Logarithmic Functions
1. Evaluate logarithms 2. Convert between exponential and logarithmic form 3. Graph logarithmic functions 4. Domain and range of logarithmic functions

Lesson 3-3: Properties of Logarithms		1. Change of base formula 2. Product property of logarithms 3. Quotient property of logarithms 4. Power property of logarithms 5. Evaluate logarithms using properties
Lesson 3-3: Properties of Logarithms
1. Change of base formula 2. Product property of logarithms 3. Quotient property of logarithms 4. Power property of logarithms 5. Evaluate logarithms using properties

Lesson 3-4: Exponential and Logarithmic Equations		1. Solve logarithmic equations with one logarithm 2. Solve logarithmic equations with multiple logarithms 3. Solve exponential equations using logarithms 4. Solve exponential equations by rewriting the base
Lesson 3-4: Exponential and Logarithmic Equations
1. Solve logarithmic equations with one logarithm 2. Solve logarithmic equations with multiple logarithms 3. Solve exponential equations using logarithms 4. Solve exponential equations by rewriting the base

Lesson 3-5: Modeling with Nonlinear Regression
Lesson 3-5: Modeling with Nonlinear Regression

4	Chapter 4 Trigonometric Functions
Lesson 4-1: Right Triangle Trigonometry		1. Find trigonometric ratios using right triangles 2. Solve a right triangle
Lesson 4-1: Right Triangle Trigonometry
1. Find trigonometric ratios using right triangles 2. Solve a right triangle

Lesson 4-2: Degrees and Radians		1. Convert between radians and degrees 2. Radians and arc length 3. Coterminal and reference angles 4. Area of sectors
Lesson 4-2: Degrees and Radians
1. Convert between radians and degrees 2. Radians and arc length 3. Coterminal and reference angles 4. Area of sectors

Lesson 4-3: Trigonometric Functions on the Unit Circle		1. Find trigonometric ratios using the unit circle 2. Find trigonometric ratios using reference angles 3. Quadrants 4. Find trigonometric ratios of special angles
Lesson 4-3: Trigonometric Functions on the Unit Circle
1. Find trigonometric ratios using the unit circle 2. Find trigonometric ratios using reference angles 3. Quadrants 4. Find trigonometric ratios of special angles

Lesson 4-4: Graphing Sine and Cosine Functions		Sine functions 1. Find properties of sine functions 2. Write equations of sine functions from graphs 3. Write equations of sine functions using properties 4. Graph sine functions 5. Graph translations of sine functions Cosine functions 6. Find properties of cosine functions 7. Write equations of cosine functions from graphs 8. Write equations of cosine functions using properties 9. Graph cosine functions 10. Graph translations of cosine functions Mixed practice 11. Graph sine and cosine functions 12. Graph translations of sine and cosine functions
Lesson 4-4: Graphing Sine and Cosine Functions
Sine functions 1. Find properties of sine functions 2. Write equations of sine functions from graphs 3. Write equations of sine functions using properties 4. Graph sine functions 5. Graph translations of sine functions Cosine functions 6. Find properties of cosine functions 7. Write equations of cosine functions from graphs 8. Write equations of cosine functions using properties 9. Graph cosine functions 10. Graph translations of cosine functions Mixed practice 11. Graph sine and cosine functions 12. Graph translations of sine and cosine functions

Lesson 4-5: Graphing Other Trigonometric Functions
Lesson 4-5: Graphing Other Trigonometric Functions


Lesson 4-6: Inverse Trigonometric Functions		1. Inverses of trigonometric functions 2. Inverses of trigonometric functions using a calculator
Lesson 4-6: Inverse Trigonometric Functions
1. Inverses of trigonometric functions 2. Inverses of trigonometric functions using a calculator

Lesson 4-7: The Law of Sines and the Law of Cosines		Solve a triangle 1. Law of Sines 2. Law of Cosines 3. Solve a triangle Area of a triangle 4. Area of a triangle: sine formula 5. Area of a triangle: Heron's formula Trigonometric ratios 6. Trigonometric ratios: find a side length 7. Trigonometric ratios: find an angle measure
Lesson 4-7: The Law of Sines and the Law of Cosines
Solve a triangle 1. Law of Sines 2. Law of Cosines 3. Solve a triangle Area of a triangle 4. Area of a triangle: sine formula 5. Area of a triangle: Heron's formula Trigonometric ratios 6. Trigonometric ratios: find a side length 7. Trigonometric ratios: find an angle measure

5	Chapter 5 Trigonometric Identies and Equations
Lesson 5-1: Trigonometric Identities		1. Find trigonometric ratios using a Pythagorean or reciprocal identity 2. Find trigonometric ratios using multiple identities 3. Symmetry and periodicity of trigonometric functions 4. Complementary angle identities
Lesson 5-1: Trigonometric Identities
1. Find trigonometric ratios using a Pythagorean or reciprocal identity 2. Find trigonometric ratios using multiple identities 3. Symmetry and periodicity of trigonometric functions 4. Complementary angle identities

Lesson 5-2: Verifying Trigonometric Identities
Lesson 5-2: Verifying Trigonometric Identities


Lesson 5-3: Solving Trigonometric Equations		1. Solve trigonometric equations
Lesson 5-3: Solving Trigonometric Equations
1. Solve trigonometric equations

Lesson 5-4: Sum and Difference Identities		1. Trigonometric sum and difference identities
Lesson 5-4: Sum and Difference Identities
1. Trigonometric sum and difference identities

Lesson 5-5: Multiple-Angle and Product-to-Sum Identities
Lesson 5-5: Multiple-Angle and Product-to-Sum Identities

6	Chapter 6 Systems of Equations and Matrices
Lesson 6-1: Multivariable Linear Systems and Row Operations		1. Solve a system of equations using augmented matrices 2. Solve a system of equations using augmented matrices: word problems 3. Solve a system of equations in three variables using substitution 4. Solve a system of equations in three variables using elimination
Lesson 6-1: Multivariable Linear Systems and Row Operations
1. Solve a system of equations using augmented matrices 2. Solve a system of equations using augmented matrices: word problems 3. Solve a system of equations in three variables using substitution 4. Solve a system of equations in three variables using elimination

Lesson 6-2: Matrix Multiplication, Inverses, and Determinants		Matrix operation 1. Multiply two matrices 2. Simplify matrix expressions 3. Properties of matrices Matrix inverse 4. Is a matrix invertible? 5. Inverse of a 2 x 2 matrix 6. Inverse of a 3 x 3 matrix 7. Identify inverse matrices Determinant 8. Determinant of a matrix Solve matrix equations 9. Solve matrix equations 10. Solve matrix equations using inverses
Lesson 6-2: Matrix Multiplication, Inverses, and Determinants
Matrix operation 1. Multiply two matrices 2. Simplify matrix expressions 3. Properties of matrices Matrix inverse 4. Is a matrix invertible? 5. Inverse of a 2 x 2 matrix 6. Inverse of a 3 x 3 matrix 7. Identify inverse matrices Determinant 8. Determinant of a matrix Solve matrix equations 9. Solve matrix equations 10. Solve matrix equations using inverses

Lesson 6-3: Solving Linear Systems Using Inverses and Cramer's Rule
Lesson 6-3: Solving Linear Systems Using Inverses and Cramer's Rule


Lesson 6-4: Partial Fractions
Lesson 6-4: Partial Fractions


Lesson 6-5: Linear Optimization		1. Solve systems of linear inequalities by graphing 2. Solve systems of linear and absolute value inequalities by graphing 3. Find the vertices of a solution set 4. Linear programming
Lesson 6-5: Linear Optimization
1. Solve systems of linear inequalities by graphing 2. Solve systems of linear and absolute value inequalities by graphing 3. Find the vertices of a solution set 4. Linear programming

7	Chapter 7 Conic Sections and Parametric Equations
Lesson 7-1: Parabolas		1. Find properties of parabolas 2. Convert equations of parabolas from general to vertex form 3. Write equations of parabolas in vertex form 4. Graph parabolas
Lesson 7-1: Parabolas
1. Find properties of parabolas 2. Convert equations of parabolas from general to vertex form 3. Write equations of parabolas in vertex form 4. Graph parabolas

Lesson 7-2: Ellipses and Circles		Circles 1. Find properties of circles 2. Write equations of circles in standard form 3. Graph circles Ellipses 4. Find properties of ellipses 5. Find the eccentricity of an ellipse 6. Write equations of ellipses in standard form
Lesson 7-2: Ellipses and Circles
Circles 1. Find properties of circles 2. Write equations of circles in standard form 3. Graph circles Ellipses 4. Find properties of ellipses 5. Find the eccentricity of an ellipse 6. Write equations of ellipses in standard form

Lesson 7-3: Hyperbolas		1. Find properties of hyperbolas 2. Find the eccentricity of a hyperbola 3. Write equations of hyperbolas in standard form 4. Convert equations of conic sections from general to standard form
Lesson 7-3: Hyperbolas
1. Find properties of hyperbolas 2. Find the eccentricity of a hyperbola 3. Write equations of hyperbolas in standard form 4. Convert equations of conic sections from general to standard form

Lesson 7-4: Rotations of Conic Sections
Lesson 7-4: Rotations of Conic Sections


Lesson 7-5: Parametric Equations
Lesson 7-5: Parametric Equations

8	Chapter 8 Vectors
Lesson 8-1: Introduction to Vectors		Graph a resultant vector 1. Graph a resultant vector using the triangle method 2. Graph a resultant vector using the parallelogram method Vector scalar multiple 3. Multiply a vector by a scalar 4. Find the magnitude of a vector scalar multiple 5. Determine the direction of a vector scalar multiple
Lesson 8-1: Introduction to Vectors
Graph a resultant vector 1. Graph a resultant vector using the triangle method 2. Graph a resultant vector using the parallelogram method Vector scalar multiple 3. Multiply a vector by a scalar 4. Find the magnitude of a vector scalar multiple 5. Determine the direction of a vector scalar multiple

Lesson 8-2: Vectors in the Coordinate Plane		Unit Vector 1. Find a unit vector Component form of vectors 2. Find the component form of a vector 3. Find the component form of a vector from its magnitude and direction angle Vector operations 4. Add vectors 5. Subtract vectors Magnitude and direction of vectors 6. Find the direction angle of a vector 7. Find the magnitude of a vector 8. Find the magnitude and direction of a vector sum Linear combinations of vectors 9. Linear combinations of vectors
Lesson 8-2: Vectors in the Coordinate Plane
Unit Vector 1. Find a unit vector Component form of vectors 2. Find the component form of a vector 3. Find the component form of a vector from its magnitude and direction angle Vector operations 4. Add vectors 5. Subtract vectors Magnitude and direction of vectors 6. Find the direction angle of a vector 7. Find the magnitude of a vector 8. Find the magnitude and direction of a vector sum Linear combinations of vectors 9. Linear combinations of vectors

Lesson 8-3: Dot Products and Vector Projections
Lesson 8-3: Dot Products and Vector Projections


Lesson 8-4: Vectors in Three-Dimensional Space		1. Find the magnitude of a three-dimensional vector 2. Find the component form of a three-dimensional vector 3. Add and subtract three-dimensional vectors 4. Scalar multiples of three-dimensional vectors 5. Find a three-dimensional unit vector 6. Linear combinations of three-dimensional vectors
Lesson 8-4: Vectors in Three-Dimensional Space
1. Find the magnitude of a three-dimensional vector 2. Find the component form of a three-dimensional vector 3. Add and subtract three-dimensional vectors 4. Scalar multiples of three-dimensional vectors 5. Find a three-dimensional unit vector 6. Linear combinations of three-dimensional vectors

Lesson 8-5: Dot and Cross Products of Vectors in Space
Lesson 8-5: Dot and Cross Products of Vectors in Space

9	Chapter 9 Polar Coordinates and Complex Numbers
Lesson 9-1: Polar Coordinates
Lesson 9-1: Polar Coordinates


Lesson 9-2: Graphs of Polar Equations		1. Match polar equations and graphs
Lesson 9-2: Graphs of Polar Equations
1. Match polar equations and graphs

Lesson 9-3: Polar and Rectangular Forms of Equations
Lesson 9-3: Polar and Rectangular Forms of Equations


Lesson 9-4: Polar Forms of Conic Sections
Lesson 9-4: Polar Forms of Conic Sections


Lesson 9-5: Complex Numbers and DeMoivre's Theorem		Graph in the complex plane 1. Introduction to the complex plane 2. Graph complex numbers Operations in the complex plane 3. Addition in the complex plane 4. Subtraction in the complex plane 5. Graph complex conjugates 6. Absolute value in the complex plane Midpoint and distance 7. Midpoints in the complex plane 8. Distance in the complex plane Find the modulus and argument 9. Find the modulus and argument of a complex number Convert complex numbers 10. Convert complex numbers from rectangular to polar form 11. Convert complex numbers from polar to rectangular form 12. Convert complex numbers between rectangular and polar form
Lesson 9-5: Complex Numbers and DeMoivre's Theorem
Graph in the complex plane 1. Introduction to the complex plane 2. Graph complex numbers Operations in the complex plane 3. Addition in the complex plane 4. Subtraction in the complex plane 5. Graph complex conjugates 6. Absolute value in the complex plane Midpoint and distance 7. Midpoints in the complex plane 8. Distance in the complex plane Find the modulus and argument 9. Find the modulus and argument of a complex number Convert complex numbers 10. Convert complex numbers from rectangular to polar form 11. Convert complex numbers from polar to rectangular form 12. Convert complex numbers between rectangular and polar form

10	Chapter 10 Sequences and Series
Lesson 10-1: Sequences, Series, and Sigma Notation		Find terms of a sequence 1. Find terms of a sequence 2. Find terms of a recursive sequence Explicit and recursive formula 3. Identify a sequence as explicit or recursive 4. Find a recursive formula 5. Find recursive and explicit formulas 6. Convert an explicit formula to a recursive formula 7. Convert between explicit and recursive formulas Partial sums 8. Introduction to partial sums Sigma notation 9. Introduction to sigma notation
Lesson 10-1: Sequences, Series, and Sigma Notation
Find terms of a sequence 1. Find terms of a sequence 2. Find terms of a recursive sequence Explicit and recursive formula 3. Identify a sequence as explicit or recursive 4. Find a recursive formula 5. Find recursive and explicit formulas 6. Convert an explicit formula to a recursive formula 7. Convert between explicit and recursive formulas Partial sums 8. Introduction to partial sums Sigma notation 9. Introduction to sigma notation

Lesson 10-2: Arithemtic 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 4. Partial sums of arithmetic series
Lesson 10-2: Arithemtic 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 4. Partial sums of arithmetic series

Lesson 10-3: Geometric Sequences and Series		Geometric sequences 1. Find terms of a geometric sequence 2. Write a formula for a geometric sequence Geometric series 3. Find the sum of a finite geometric series 4. Convergent and divergent geometric series 5. Find the value of an infinite geometric series 6. Partial sums of geometric series Mixed sequences and series 7. Identify arithmetic and geometric series 8. Partial sums: mixed review
Lesson 10-3: Geometric Sequences and Series
Geometric sequences 1. Find terms of a geometric sequence 2. Write a formula for a geometric sequence Geometric series 3. Find the sum of a finite geometric series 4. Convergent and divergent geometric series 5. Find the value of an infinite geometric series 6. Partial sums of geometric series Mixed sequences and series 7. Identify arithmetic and geometric series 8. Partial sums: mixed review

Lesson 10-4: Mathematical Induction
Lesson 10-4: Mathematical Induction


Lesson 10-5: The Binomial Theorem		1. Pascal's triangle 2. Pascal's triangle and the Binomial Theorem 3. Binomial Theorem I 4. Binomial Theorem II
Lesson 10-5: 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: Functions as Infinite Series
Lesson 10-6: Functions as Infinite Series

11	Chapter 11 Inferential Statistics
Lesson 11-1: Descriptive Statistics
Lesson 11-1: Descriptive Statistics


Lesson 11-2: Probability Distributions		Discrete probability 1. Identify discrete and continuous random variables 2. Write a discrete probability distribution 3. Graph a discrete probability distribution Random variables 4. Expected values of random variables 5. Variance of random variables 6. Standard deviation of random variables Real-world problems 7. Write the probability distribution for a game of chance 8. Expected values for a game of chance 9. Choose the better bet Binomial distribution 10. Find probabilities using the binomial distribution 11. Mean, variance, and standard deviation of binomial distributions
Lesson 11-2: Probability Distributions
Discrete probability 1. Identify discrete and continuous random variables 2. Write a discrete probability distribution 3. Graph a discrete probability distribution Random variables 4. Expected values of random variables 5. Variance of random variables 6. Standard deviation of random variables Real-world problems 7. Write the probability distribution for a game of chance 8. Expected values for a game of chance 9. Choose the better bet Binomial distribution 10. Find probabilities using the binomial distribution 11. Mean, variance, and standard deviation of binomial distributions

Lesson 11-3: The Normal Distrubition		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 11-3: The Normal Distrubition
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 11-4: The Central Limit Theorem		1. The Central Limit Theorem 2. Use normal distributions to approximate binomial distributions 3. Distributions of sample means
Lesson 11-4: The Central Limit Theorem
1. The Central Limit Theorem 2. Use normal distributions to approximate binomial distributions 3. Distributions of sample means

Lesson 11-5: Confidence Intervals		1. Find confidence intervals for population means 2. Find confidence intervals for population proportions 3. Interpret confidence intervals for population means
Lesson 11-5: Confidence Intervals
1. Find confidence intervals for population means 2. Find confidence intervals for population proportions 3. Interpret confidence intervals for population means

Lesson 11-6: Hypothesis Testing
Lesson 11-6: Hypothesis Testing


Lesson 11-7: Correlation and Linear Regression		Outliers 1. Outliers in scatter plots Correlation 2. Match correlation coefficients to scatter plots 3. Calculate correlation coefficients Linear Regression 4. Find the equation of a regression line 5. Interpret regression lines 6. Analyze a regression line of a data set 7. Analyze a regression line using statistics of a data set
Lesson 11-7: Correlation and Linear Regression
Outliers 1. Outliers in scatter plots Correlation 2. Match correlation coefficients to scatter plots 3. Calculate correlation coefficients Linear Regression 4. Find the equation of a regression line 5. Interpret regression lines 6. Analyze a regression line of a data set 7. Analyze a regression line using statistics of a data set

12	Chapter 12 Limits and Derivatives
Lesson 12-1: Estimating Limits Graphically		Estimate limits 1. Find limits using graphs 2. Find one-sided limits using graphs 3. Determine if a limit exists 4. Find limits at vertical asymptotes using graphs Determine end behavior 5. Determine end behavior using graphs 6. Determine end behavior of polynomial and rational functions
Lesson 12-1: Estimating Limits Graphically
Estimate limits 1. Find limits using graphs 2. Find one-sided limits using graphs 3. Determine if a limit exists 4. Find limits at vertical asymptotes using graphs Determine end behavior 5. Determine end behavior using graphs 6. Determine end behavior of polynomial and rational functions

Lesson 12-2: Evaluating Limits Algebraically		Limit laws 1. Find limits using addition, subtraction, and multiplication laws 2. Find limits using the division law 3. Find limits using power and root laws 4. Find limits using limit laws Find limits of functions 5. Find limits of polynomials and rational functions 6. Find limits involving factorization and rationalization
Lesson 12-2: Evaluating Limits Algebraically
Limit laws 1. Find limits using addition, subtraction, and multiplication laws 2. Find limits using the division law 3. Find limits using power and root laws 4. Find limits using limit laws Find limits of functions 5. Find limits of polynomials and rational functions 6. Find limits involving factorization and rationalization

Lesson 12-3: Tangent Lines and Velocity		1. Find instantaneous rates of change 2. Velocity as a rate of change 3. Find the slope of a tangent line using limits 4. Find equations of tangent lines using limits
Lesson 12-3: Tangent Lines and Velocity
1. Find instantaneous rates of change 2. Velocity as a rate of change 3. Find the slope of a tangent line using limits 4. Find equations of tangent lines using limits

Lesson 12-4: Derivatives		Introduction to derivatives 1. Find values of derivatives using limits Derivative rules 2. Power rule I 3. Power rule II 4. Sum and difference rules 5. Product rule 6. Quotient rule Find derivatives 7. Find derivatives of polynomials 8. Find derivatives of rational functions
Lesson 12-4: Derivatives
Introduction to derivatives 1. Find values of derivatives using limits Derivative rules 2. Power rule I 3. Power rule II 4. Sum and difference rules 5. Product rule 6. Quotient rule Find derivatives 7. Find derivatives of polynomials 8. Find derivatives of rational functions

Lesson 12-5: Area Under a Curve and Integration
Lesson 12-5: Area Under a Curve and Integration


Lesson 12-6: The Fundamental Theorem of Calculus
Lesson 12-6: The Fundamental Theorem of Calculus

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