IXL skill plan | Precalculus plan for Blitzer Mathematics

Skill plan for Blitzer Mathematics - Precalculus

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P	Chapter P Prerequisites: Fundamental Concepts of Algebra
P.1: Algebraic Expressions, Mathematical Models, and Real Numbers		Expressions 1. Evaluate variable expressions involving integers 2. Simplify variable expressions using properties Rational and irrational numbers 3. Sort rational and irrational numbers 4. Classify rational and irrational numbers Compare and order rational numbers 5. Compare and order rational numbers Absolute value 6. Absolute value and opposites
P.1: Algebraic Expressions, Mathematical Models, and Real Numbers
Expressions 1. Evaluate variable expressions involving integers 2. Simplify variable expressions using properties Rational and irrational numbers 3. Sort rational and irrational numbers 4. Classify rational and irrational numbers Compare and order rational numbers 5. Compare and order rational numbers Absolute value 6. Absolute value and opposites

P.2: Exponents and Scientific Notation		Properties of exponents 1. Negative exponents 2. Multiplication rule for exponents 3. Division rule for exponents 4. Power rule for exponents Expressions 5. Evaluate expressions using exponent rules 6. Identify equivalent exponential expressions I 7. Identify equivalent exponential expressions II Scientific notation 8. Convert between standard and scientific notation 9. Multiply numbers written in scientific notation 10. Divide numbers written in scientific notation
P.2: Exponents and Scientific Notation
Properties of exponents 1. Negative exponents 2. Multiplication rule for exponents 3. Division rule for exponents 4. Power rule for exponents Expressions 5. Evaluate expressions using exponent rules 6. Identify equivalent exponential expressions I 7. Identify equivalent exponential expressions II Scientific notation 8. Convert between standard and scientific notation 9. Multiply numbers written in scientific notation 10. Divide numbers written in scientific notation

P.3: Radicals and Rational Exponents		Simplify radical expression 1. Simplify radical expressions with variables Radical operations 2. Multiply radical expressions 3. Simplify radical expressions involving fractions 4. Add and subtract radical expressions 5. Simplify radical expressions using the distributive property 6. Simplify radical expressions using conjugates Roots 7. Roots of integers 8. Roots of rational numbers 9. Find roots using a calculator 10. Nth roots Rational exponents 11. Evaluate rational exponents 12. Operations with rational exponents 13. Simplify expressions involving rational exponents
P.3: Radicals and Rational Exponents
Simplify radical expression 1. Simplify radical expressions with variables Radical operations 2. Multiply radical expressions 3. Simplify radical expressions involving fractions 4. Add and subtract radical expressions 5. Simplify radical expressions using the distributive property 6. Simplify radical expressions using conjugates Roots 7. Roots of integers 8. Roots of rational numbers 9. Find roots using a calculator 10. Nth roots Rational exponents 11. Evaluate rational exponents 12. Operations with rational exponents 13. Simplify expressions involving rational exponents

P.4: Polynomials		1. Polynomial vocabulary 2. Add and subtract polynomials 3. Multiply polynomials
P.4: Polynomials
1. Polynomial vocabulary 2. Add and subtract polynomials 3. Multiply polynomials

P.5: Factoring Polynomials		1. Factor out a monomial 2. Factor quadratics 3. Factor using a quadratic pattern 4. Factor by grouping 5. Factor sums and differences of cubes 6. Factor polynomials
P.5: Factoring Polynomials
1. Factor out a monomial 2. Factor quadratics 3. Factor using a quadratic pattern 4. Factor by grouping 5. Factor sums and differences of cubes 6. Factor polynomials

P.6: Rational Expressions		Evaluate rational expressions 1. Evaluate rational expressions I 2. Evaluate rational expressions II Operations with rational expressions 3. Simplify rational expressions 4. Multiply and divide rational expressions 5. Add and subtract rational expressions
P.6: Rational Expressions
Evaluate rational expressions 1. Evaluate rational expressions I 2. Evaluate rational expressions II Operations with rational expressions 3. Simplify rational expressions 4. Multiply and divide rational expressions 5. Add and subtract rational expressions

P.7: Equations		Linear equations 1. Solve linear equations 2. Solve linear equations: complete the solution Rational equations 3. Solve rational equations Multi-variable equations 4. Rearrange multi-variable equations Absolute value equations 5. Solve absolute value equations 6. Write absolute value equations from graphs Quadratic equations 7. Solve a quadratic equation using square roots 8. Solve a quadratic equation by factoring 9. Solve a quadratic equation by completing the square 10. Solve a quadratic equation using the quadratic formula 11. Using the discriminant Radical equations 12. Solve radical equations
P.7: Equations
Linear equations 1. Solve linear equations 2. Solve linear equations: complete the solution Rational equations 3. Solve rational equations Multi-variable equations 4. Rearrange multi-variable equations Absolute value equations 5. Solve absolute value equations 6. Write absolute value equations from graphs Quadratic equations 7. Solve a quadratic equation using square roots 8. Solve a quadratic equation by factoring 9. Solve a quadratic equation by completing the square 10. Solve a quadratic equation using the quadratic formula 11. Using the discriminant Radical equations 12. Solve radical equations

P.8: Modeling with Equations		1. Solve linear equations: word problems 2. Solve quadratic equations: word problems 3. Pythagorean Theorem and its converse
P.8: Modeling with Equations
1. Solve linear equations: word problems 2. Solve quadratic equations: word problems 3. Pythagorean Theorem and its converse

P.9: Linear Inequalities and Absolute Value Inequalities		Write and graph inequalities 1. Graph inequalities 2. Write inequalities from graphs 3. Write two-variable linear inequalities: word problems Linear inequalities 4. Solve linear inequalities 5. Graph solutions to linear inequalities Compound inequalities 6. Solve compound inequalities 7. Graph solutions to compound inequalities Absolute value inequalities 8. Solve absolute value inequalities 9. Graph solutions to absolute value inequalities
P.9: Linear Inequalities and Absolute Value Inequalities
Write and graph inequalities 1. Graph inequalities 2. Write inequalities from graphs 3. Write two-variable linear inequalities: word problems Linear inequalities 4. Solve linear inequalities 5. Graph solutions to linear inequalities Compound inequalities 6. Solve compound inequalities 7. Graph solutions to compound inequalities Absolute value inequalities 8. Solve absolute value inequalities 9. Graph solutions to absolute value inequalities

1	Chapter 1 Functions and Graphs
1.1: Graphs and Graphing Utilities		1. Coordinate plane review 2. Complete a table and graph a linear function
1.1: Graphs and Graphing Utilities
1. Coordinate plane review 2. Complete a table and graph a linear function

1.2: Basics on Functions and Their Graphs		Domain and range 1. Domain and range of absolute value functions: graphs Functions 2. Identify functions 3. Evaluate functions 4. Find values using function graphs
1.2: Basics on Functions and Their Graphs
Domain and range 1. Domain and range of absolute value functions: graphs Functions 2. Identify functions 3. Evaluate functions 4. Find values using function graphs

1.3: More on Functions and Their Graphs		1. Linear functions over unit intervals 2. Even and odd functions
1.3: More on Functions and Their Graphs
1. Linear functions over unit intervals 2. Even and odd functions

1.4: Linear Functions and Slope		Slope 1. Find the slope of a linear function Graph 2. Graph a linear function Write a linear function 3. Write the equation of a linear function 4. Point-slope form: write an equation Horizontal and vertical lines 5. Equations of horizontal and vertical lines 6. Graph a horizontal or vertical line Standard form 7. Write linear equations in standard form 8. Standard form: find x- and y-intercepts 9. Standard form: graph a line from an equation Also consider: • Match correlation coefficients to scatter plots • Calculate correlation coefficients • Write equations for lines of best fit • Find the equation of a regression line
1.4: Linear Functions and Slope
Slope 1. Find the slope of a linear function Graph 2. Graph a linear function Write a linear function 3. Write the equation of a linear function 4. Point-slope form: write an equation Horizontal and vertical lines 5. Equations of horizontal and vertical lines 6. Graph a horizontal or vertical line Standard form 7. Write linear equations in standard form 8. Standard form: find x- and y-intercepts 9. Standard form: graph a line from an equation Also consider: • Match correlation coefficients to scatter plots • Calculate correlation coefficients • Write equations for lines of best fit • Find the equation of a regression line

1.5: More on Slope		1. Slopes of parallel and perpendicular lines 2. Equations of parallel and perpendicular lines 3. Average rate of change I
1.5: More on Slope
1. Slopes of parallel and perpendicular lines 2. Equations of parallel and perpendicular lines 3. Average rate of change I

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

1.7: Combinations of Functions; Composite Functions		1. Domain and range 2. Add, subtract, multiply, and divide functions 3. Composition of functions
1.7: Combinations of Functions; Composite Functions
1. Domain and range 2. Add, subtract, multiply, and divide functions 3. Composition of functions

1.8: Inverse Functions		1. Identify inverse functions 2. Find inverse functions and relations 3. Find values of inverse functions from graphs 4. Graphs of inverse functions Also consider: • Find values of inverse functions from tables
1.8: Inverse Functions
1. Identify inverse functions 2. Find inverse functions and relations 3. Find values of inverse functions from graphs 4. Graphs of inverse functions Also consider: • Find values of inverse functions from tables

1.9: Distance and Midpoint Formulas; Circles		Distance and midpoint 1. Distance formula 2. Midpoint formula: find the midpoint Circles 3. Find properties of circles 4. Write equations of circles in standard form 5. Graph circles
1.9: Distance and Midpoint Formulas; Circles
Distance and midpoint 1. Distance formula 2. Midpoint formula: find the midpoint Circles 3. Find properties of circles 4. Write equations of circles in standard form 5. Graph circles

1.10: Modeling with Functions		1. Interpret functions using everyday language 2. Write a linear function: word problems
1.10: Modeling with Functions
1. Interpret functions using everyday language 2. Write a linear function: word problems

2	Chapter 2 Polynomial and Rational Functions
2.1: Complex Numbers		1. Add and subtract complex numbers 2. Multiply and divide complex numbers 3. Add, subtract, multiply, and divide complex numbers 4. Complex conjugates
2.1: Complex Numbers
1. Add and subtract complex numbers 2. Multiply and divide complex numbers 3. Add, subtract, multiply, and divide complex numbers 4. Complex conjugates

2.2: Quadratic Functions		Characteristics of quadratic functions 1. Find the maximum or minimum value of a quadratic function 2. Characteristics of quadratic functions Graphs of quadratic functions 3. Graph a quadratic function 4. Match quadratic functions and graphs
2.2: Quadratic Functions
Characteristics of quadratic functions 1. Find the maximum or minimum value of a quadratic function 2. Characteristics of quadratic functions Graphs of quadratic functions 3. Graph a quadratic function 4. Match quadratic functions and graphs

2.3: Polynomial Functions and Their Graphs		Polynomial graphs 1. Match polynomials and graphs 2. Domain and range of polynomials Roots of polynomials 3. Find the roots of factored polynomials 4. Write a polynomial from its roots
2.3: Polynomial Functions and Their Graphs
Polynomial graphs 1. Match polynomials and graphs 2. Domain and range of polynomials Roots of polynomials 3. Find the roots of factored polynomials 4. Write a polynomial from its roots

2.4: Dividing Polynomials; Remainder and Factor Theorems		1. Divide polynomials using long division 2. Divide polynomials using synthetic division 3. Evaluate polynomials using synthetic division
2.4: Dividing Polynomials; Remainder and Factor Theorems
1. Divide polynomials using long division 2. Divide polynomials using synthetic division 3. Evaluate polynomials using synthetic division

2.5: Zeros of Polynomial Functions		Zeros of polynomial functions 1. Rational root theorem 2. Fundamental Theorem of Algebra 3. Descartes' Rule of Signs Polynomial equations 4. Solve equations with sums and differences of cubes 5. Solve equations using a quadratic pattern
2.5: Zeros of Polynomial Functions
Zeros of polynomial functions 1. Rational root theorem 2. Fundamental Theorem of Algebra 3. Descartes' Rule of Signs Polynomial equations 4. Solve equations with sums and differences of cubes 5. Solve equations using a quadratic pattern

2.6: Rational Functions and Their Graphs		1. Rational functions: asymptotes and excluded values
2.6: Rational Functions and Their Graphs
1. Rational functions: asymptotes and excluded values

2.7: Polynomial and Rational Inequalities		Quadratic inequalities 1. Graph solutions to quadratic inequalities 2. Solve quadratic inequalities Higher-degree inequalities 3. Graph solutions to higher-degree inequalities 4. Solve higher-degree inequalities
2.7: Polynomial and Rational Inequalities
Quadratic inequalities 1. Graph solutions to quadratic inequalities 2. Solve quadratic inequalities Higher-degree inequalities 3. Graph solutions to higher-degree inequalities 4. Solve higher-degree inequalities

2.8: Modeling Using Variation		Direct and inverse variation 1. Write and solve direct variation equations 2. Write and solve inverse variation equations 3. Classify variation Joint and combined variation 4. Write joint and combined variation equations I 5. Write joint and combined variation equations II Solve variation equations 6. Solve variation equations Also consider: • Find the constant of variation
2.8: Modeling Using Variation
Direct and inverse variation 1. Write and solve direct variation equations 2. Write and solve inverse variation equations 3. Classify variation Joint and combined variation 4. Write joint and combined variation equations I 5. Write joint and combined variation equations II Solve variation equations 6. Solve variation equations Also consider: • Find the constant of variation

3	Chapter 3 Exponential and Logarithmic Functions
3.1: Exponential Functions		1. Evaluate exponential functions 2. Match exponential functions and graphs 3. Compound interest: word problems
3.1: Exponential Functions
1. Evaluate exponential functions 2. Match exponential functions and graphs 3. Compound interest: word problems

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

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

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

3.5: Exponential Growth and Decay; Modeling Data		1. Exponential growth and decay: word problems
3.5: Exponential Growth and Decay; Modeling Data
1. Exponential growth and decay: word problems

4	Chapter 4 Trigonometric Functions
4.1: Angles and Radian Measure		1. Convert between radians and degrees 2. Graphs of angles 3. Radians and arc length 4. Quadrants 5. Coterminal angles
4.1: Angles and Radian Measure
1. Convert between radians and degrees 2. Graphs of angles 3. Radians and arc length 4. Quadrants 5. Coterminal angles

4.2: Trigonometric Functions: The Unit Circle		1. Find trigonometric ratios using the unit circle
4.2: Trigonometric Functions: The Unit Circle
1. Find trigonometric ratios using the unit circle

4.3: Right Triangle Trigonometry		Trigonometric ratios 1. Find trigonometric ratios using right triangles 2. Find trigonometric ratios of special angles Find side lengths and angle measures 3. Trigonometric ratios: find a side length 4. Trigonometric ratios: find an angle measure
4.3: Right Triangle Trigonometry
Trigonometric ratios 1. Find trigonometric ratios using right triangles 2. Find trigonometric ratios of special angles Find side lengths and angle measures 3. Trigonometric ratios: find a side length 4. Trigonometric ratios: find an angle measure

4.4: Trigonometric Function of Any Angle		1. Find trigonometric ratios using reference angles 2. Reference angles
4.4: Trigonometric Function of Any Angle
1. Find trigonometric ratios using reference angles 2. Reference angles

4.5: Graphs of Sine and Cosine Function		Sine function 1. Find properties of sine functions 2. Graph sine functions 3. Write equations of sine functions from graphs 4. Write equations of sine functions using properties 5. Graph translations of sine functions Cosine function 6. Find properties of cosine functions 7. Graph cosine functions 8. Write equations of cosine functions from graphs 9. Write equations of cosine functions using properties 10. Graph translations of cosine functions Mixed review 11. Graph sine and cosine functions 12. Graph translations of sine and cosine functions
4.5: Graphs of Sine and Cosine Function
Sine function 1. Find properties of sine functions 2. Graph sine functions 3. Write equations of sine functions from graphs 4. Write equations of sine functions using properties 5. Graph translations of sine functions Cosine function 6. Find properties of cosine functions 7. Graph cosine functions 8. Write equations of cosine functions from graphs 9. Write equations of cosine functions using properties 10. Graph translations of cosine functions Mixed review 11. Graph sine and cosine functions 12. Graph translations of sine and cosine functions

4.6: Graphs of Other Trigonometric Functions
4.6: Graphs of Other Trigonometric Functions


4.7: Inverse Trigonometric Functions		1. Inverses of trigonometric functions 2. Inverses of trigonometric functions using a calculator
4.7: Inverse Trigonometric Functions
1. Inverses of trigonometric functions 2. Inverses of trigonometric functions using a calculator

4.8: Applications of Trigonometric Functions		1. Solve a right triangle
4.8: Applications of Trigonometric Functions
1. Solve a right triangle

5	Chapter 5 Analytic Trigonometry
5.1: Verifying Trigonometric Identities		1. Symmetry and periodicity of trigonometric functions 2. Find trigonometric ratios using a Pythagorean or reciprocal identity 3. Find trigonometric ratios using multiple identities
5.1: Verifying Trigonometric Identities
1. Symmetry and periodicity of trigonometric functions 2. Find trigonometric ratios using a Pythagorean or reciprocal identity 3. Find trigonometric ratios using multiple identities

5.2: Sum and Difference Formulas		1. Trigonometric sum and difference identities
5.2: Sum and Difference Formulas
1. Trigonometric sum and difference identities

5.3: Double-Angle, Power-Reducing, and Half-Angle Formulas
5.3: Double-Angle, Power-Reducing, and Half-Angle Formulas


5.4: Product-to-Sum and Sum-to-Product Formulas
5.4: Product-to-Sum and Sum-to-Product Formulas


5.5: Trigonometric Equations		1. Solve trigonometric equations
5.5: Trigonometric Equations
1. Solve trigonometric equations

6	Chapter 6 Additional Topics in Trigonometry
6.1: The Law of Sines		1. Law of Sines 2. Area of a triangle: sine formula
6.1: The Law of Sines
1. Law of Sines 2. Area of a triangle: sine formula

6.2: The Law of Cosines		1. Law of Cosines 2. Solve a triangle 3. Area of a triangle: Heron's formula
6.2: The Law of Cosines
1. Law of Cosines 2. Solve a triangle 3. Area of a triangle: Heron's formula

6.3: Polar Coordinates
6.3: Polar Coordinates


6.4: Graphs of Polar Equations		1. Match polar equations and graphs
6.4: Graphs of Polar Equations
1. Match polar equations and graphs

6.5: Complex Numbers in Polar Form; DeMoivre's Theorem		Graphs of complex numbers 1. Introduction to the complex plane 2. Graph complex numbers Absolute value in the complex plane 3. Absolute value in the complex plane Complex numbers in polar form 4. Convert complex numbers from rectangular to polar form 5. Convert complex numbers from polar to rectangular form 6. Convert complex numbers between rectangular and polar form
6.5: Complex Numbers in Polar Form; DeMoivre's Theorem
Graphs of complex numbers 1. Introduction to the complex plane 2. Graph complex numbers Absolute value in the complex plane 3. Absolute value in the complex plane Complex numbers in polar form 4. Convert complex numbers from rectangular to polar form 5. Convert complex numbers from polar to rectangular form 6. Convert complex numbers between rectangular and polar form

6.6: Vectors		Introduction to vectors 1. Find the magnitude of a vector 2. Find the direction angle of a vector Component form of a vector 3. Find the component form of a vector from its magnitude and direction angle 4. Find the component form of a vector Vector operations 5. Add vectors 6. Subtract vectors 7. Multiply a vector by a scalar 8. Find the magnitude of a vector scalar multiple Unit vector 9. Find a unit vector Linear combinations 10. Linear combinations of vectors
6.6: Vectors
Introduction to vectors 1. Find the magnitude of a vector 2. Find the direction angle of a vector Component form of a vector 3. Find the component form of a vector from its magnitude and direction angle 4. Find the component form of a vector Vector operations 5. Add vectors 6. Subtract vectors 7. Multiply a vector by a scalar 8. Find the magnitude of a vector scalar multiple Unit vector 9. Find a unit vector Linear combinations 10. Linear combinations of vectors

6.7: The Dot Product
6.7: The Dot Product

7	Chapter 7 Systems of Equations and Inequalities
7.1: Systems of Linear Equations in Two Variables		Solutions to a system of equations 1. Is (x, y) a solution to the system of equations? 2. Find the number of solutions to a system of equations Solve by graphing 3. Solve a system of equations by graphing 4. Solve a system of equations by graphing: word problems Solve by substitution 5. Solve a system of equations using substitution 6. Solve a system of equations using substitution: word problems Solve by elimination 7. Solve a system of equations using elimination 8. Solve a system of equations using elimination: word problems Also consider: • Classify a system of equations
7.1: Systems of Linear Equations in Two Variables
Solutions to a system of equations 1. Is (x, y) a solution to the system of equations? 2. Find the number of solutions to a system of equations Solve by graphing 3. Solve a system of equations by graphing 4. Solve a system of equations by graphing: word problems Solve by substitution 5. Solve a system of equations using substitution 6. Solve a system of equations using substitution: word problems Solve by elimination 7. Solve a system of equations using elimination 8. Solve a system of equations using elimination: word problems Also consider: • Classify a system of equations

7.2: Systems of Linear Equations in Three Variables		1. Solve a system of equations in three variables using elimination 2. Determine the number of solutions to a system of equations in three variables
7.2: Systems of Linear Equations in Three Variables
1. Solve a system of equations in three variables using elimination 2. Determine the number of solutions to a system of equations in three variables

7.3: Partial Fractions
7.3: Partial Fractions


7.4: Systems of Nonlinear Equations in Two Variables		1. Solve a nonlinear system of equations
7.4: Systems of Nonlinear Equations in Two Variables
1. Solve a nonlinear system of equations

7.5: Systems of Inequalities		1. Solve systems of linear inequalities by graphing
7.5: Systems of Inequalities
1. Solve systems of linear inequalities by graphing

7.6: Linear Programming		1. Find the vertices of a solution set 2. Linear programming
7.6: Linear Programming
1. Find the vertices of a solution set 2. Linear programming

8	Chapter 8 Matrices and Determinants
8.1: Matrix Solutions to Linear Systems		1. Solve a system of equations using augmented matrices 2. Solve a system of equations using augmented matrices: word problems
8.1: Matrix Solutions to Linear Systems
1. Solve a system of equations using augmented matrices 2. Solve a system of equations using augmented matrices: word problems

8.2: Inconsistent and Dependent Systems and Their Applications
8.2: Inconsistent and Dependent Systems and Their Applications


8.3: Matrix Operations and Their Applications		Introduction to matrices 1. Matrix vocabulary 2. Matrix operation rules 3. Properties of matrices Matrix operations 4. Add and subtract matrices 5. Multiply a matrix by a scalar 6. Add and subtract scalar multiples of matrices 7. Multiply two matrices 8. Simplify matrix expressions Solve matrix equations 9. Solve matrix equations
8.3: Matrix Operations and Their Applications
Introduction to matrices 1. Matrix vocabulary 2. Matrix operation rules 3. Properties of matrices Matrix operations 4. Add and subtract matrices 5. Multiply a matrix by a scalar 6. Add and subtract scalar multiples of matrices 7. Multiply two matrices 8. Simplify matrix expressions Solve matrix equations 9. Solve matrix equations

8.4: Multiplicative Inverses of Matrices and Matrix Equations		1. Is a matrix invertible? 2. Inverse of a 2 x 2 matrix 3. Inverse of a 3 x 3 matrix 4. Identify inverse matrices 5. Solve matrix equations using inverses
8.4: Multiplicative Inverses of Matrices and Matrix Equations
1. Is a matrix invertible? 2. Inverse of a 2 x 2 matrix 3. Inverse of a 3 x 3 matrix 4. Identify inverse matrices 5. Solve matrix equations using inverses

8.5: Determinants and Cramer's Rule		1. Determinant of a matrix
8.5: Determinants and Cramer's Rule
1. Determinant of a matrix

9	Chapter 9 Conic Sections and Analytic Geometry
9.1: The Ellipse		1. Find properties of ellipses 2. Write equations of ellipses in standard form
9.1: The Ellipse
1. Find properties of ellipses 2. Write equations of ellipses in standard form

9.2: The Hyperbola		1. Find properties of hyperbolas 2. Write equations of hyperbolas in standard form
9.2: The Hyperbola
1. Find properties of hyperbolas 2. Write equations of hyperbolas in standard form

9.3: The Parabola		1. Find properties of parabolas 2. Write equations of parabolas in vertex form 3. Graph parabolas
9.3: The Parabola
1. Find properties of parabolas 2. Write equations of parabolas in vertex form 3. Graph parabolas

9.4: Rotation of Axes
9.4: Rotation of Axes


9.5: Parametric Equations
9.5: Parametric Equations


9.6: Conic Sections in Polar Coordinates
9.6: Conic Sections in Polar Coordinates

10	Chapter 10 Sequences, Induction, and Probability
10.1: Sequences and Summation Notation		Sequences 1. Find terms of a sequence 2. Find terms of a recursive sequence Summation notation 3. Introduction to sigma notation
10.1: Sequences and Summation Notation
Sequences 1. Find terms of a sequence 2. Find terms of a recursive sequence Summation notation 3. Introduction to sigma notation

10.2: Arithmetic Sequences		1. Find terms of an arithmetic sequence 2. Write a formula for an arithmetic sequence 3. Find the sum of an arithmetic series
10.2: Arithmetic Sequences
1. Find terms of an arithmetic sequence 2. Write a formula for an arithmetic sequence 3. Find the sum of an arithmetic series

10.3: Geometric Sequences and Series		Formulas for sequences 1. Find terms of a geometric sequence 2. Classify formulas and sequences 3. Write a formula for a geometric sequence Finite series 4. Identify arithmetic and geometric series 5. Find the sum of a finite geometric series Infinite series 6. Find the value of an infinite geometric series 7. Write a repeating decimal as a fraction
10.3: Geometric Sequences and Series
Formulas for sequences 1. Find terms of a geometric sequence 2. Classify formulas and sequences 3. Write a formula for a geometric sequence Finite series 4. Identify arithmetic and geometric series 5. Find the sum of a finite geometric series Infinite series 6. Find the value of an infinite geometric series 7. Write a repeating decimal as a fraction

10.4: Mathematical Induction
10.4: Mathematical Induction


10.5: The Binomial Theorem		1. Binomial Theorem I 2. Binomial Theorem II 3. Pascal's triangle and the Binomial Theorem
10.5: The Binomial Theorem
1. Binomial Theorem I 2. Binomial Theorem II 3. Pascal's triangle and the Binomial Theorem

10.6: Counting Principles, Permutations, and Combinations		1. Counting principle 2. Combinations and permutations
10.6: Counting Principles, Permutations, and Combinations
1. Counting principle 2. Combinations and permutations

10.7: Probability		Introduction to probability 1. Identify probability distributions 2. Calculate probabilities of events Two-way frequency tables 3. Find probabilities using two-way frequency tables 4. Find conditional probabilities using two-way frequency tables 5. Find probabilities using combinations and permutations Independence and conditional probabilities 6. Find conditional probabilities 7. Identify independent events 8. Independence and conditional probability
10.7: Probability
Introduction to probability 1. Identify probability distributions 2. Calculate probabilities of events Two-way frequency tables 3. Find probabilities using two-way frequency tables 4. Find conditional probabilities using two-way frequency tables 5. Find probabilities using combinations and permutations Independence and conditional probabilities 6. Find conditional probabilities 7. Identify independent events 8. Independence and conditional probability

11	Chapter 11 Introduction to Calculus
11.1: Finding Limits Using Tables and Graphs		1. Find limits using graphs 2. Find one-sided limits using graphs 3. Determine if a limit exists
11.1: Finding Limits Using Tables and Graphs
1. Find limits using graphs 2. Find one-sided limits using graphs 3. Determine if a limit exists

11.2: Finding Limits Using Properties of Limits		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 Calculate limits 5. Find limits of polynomials and rational functions 6. Find limits involving factorization and rationalization
11.2: Finding Limits Using Properties of Limits
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 Calculate limits 5. Find limits of polynomials and rational functions 6. Find limits involving factorization and rationalization

11.3: Limits and Continuity		1. Identify graphs of continuous functions 2. Determine continuity using graphs 3. Determine one-sided continuity using graphs 4. Find and analyze points of discontinuity using graphs 5. Determine the continuity of a piecewise function at a point
11.3: Limits and Continuity
1. Identify graphs of continuous functions 2. Determine continuity using graphs 3. Determine one-sided continuity using graphs 4. Find and analyze points of discontinuity using graphs 5. Determine the continuity of a piecewise function at a point

11.4: Introduction to Derivatives		Rate of change 1. Average rate of change I 2. Average rate of change II 3. Find instantaneous rates of change 4. Velocity as a rate of change Find values of derivatives 5. Find values of derivatives using limits Tangent line 6. Find the slope of a tangent line using limits 7. Find equations of tangent lines using limits
11.4: Introduction to Derivatives
Rate of change 1. Average rate of change I 2. Average rate of change II 3. Find instantaneous rates of change 4. Velocity as a rate of change Find values of derivatives 5. Find values of derivatives using limits Tangent line 6. Find the slope of a tangent line using limits 7. Find equations of tangent lines using limits

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