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NEW SERIES!!! Advanced Algebra & Trigonometry 6 Books 930+ Pages

Summit Math Advanced Algebra & Trigonometry Series

Advanced Algebra & Trigonometry

6 books. 930+ pages.

Book 1: 158 pages
Unit 1: Analyzing Functions & Transformations
Unit 2: Absolute Value Functions, Equations & Inequalities 


Book 2: 144 pages
Unit 3: Quadratic Functions, Equations & Inequalities
Unit 4: Circles & Nonlinear Systems


Book 3: 176 pages
Unit 5: Polynomial Functions & Roots
Unit 6: Inverse, Square Root & Cube Root Functions


Book 4: 162 pages
Unit 7: Exponential Equations & Functions
Unit 8: Logarithmic Properties, Equations & Functions


Book 5: 154 pages
Unit 9: Radians, Degrees & Unit Circle Trigonometry
Unit 10: Trigonometric Equations & Identities


Book 6: 144 pages
Unit 11: Graphing Trigonometric Functions
Unit 12: Permutations, Combinations & Probability

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BOOK 1

158 pages

UNIT 1: ANALYZING FUNCTIONS & TRANSFORMATIONS
UNIT 2: ABSOLUTE VALUE FUNCTIONS, EQUATIONS & INEQAULITIES

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​Unit 1​

Types of Functions Domain & Range Increasing, Decreasing & Constant Intervals Positive & Negative Intervals Minima & Maxima End behavior Classifying Even & Odd Functions Composition of Functions Linear Regression & Average Rate of Change Vertical & Horizontal Transformations of Functions

​Unit 2

Graphing an Absolute Value Function Writing an Absolute Value Function as a Piecewise Function Algebraic & Graphical Methods for Solving Absolute Value Equations Algebraic & Graphical Methods for Solving Absolute Value Inequalities

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BOOK 2

144 pages

UNIT 3: QUADRATIC FUNCTIONS, EQUATIONS & INEQUALITIES
UNIT 4: CIRCLES & NONLINEAR SYSTEMS

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​Unit 3

Methods for Solving Quadratic Equations Imaginary Numbers & Exponents of i Completing the Square & The Quadratic Formula The Discriminant Operations with Complex Numbers Rationalizing a Binomial Denominator Applying Transformations to Parabolas Graphing a Quadratic Function in Vertex Form Writing a Quadratic Function in Vertex Form Converting from Standard Form to Vertex Form Maximum Revenue Quadratic Scenarios Rectangular Area Optimization Scenarios Quadratic Border Scenarios Solving Quadratic Inequalities by Graphing Using a Number Line to Solve Quadratic Inequalities

​Unit 4

The Equation of a Circle Applying Transformations to Circles Converting a Circle's Equation to Standard Form Transforming a Circle to an Ellipse Solving Nonlinear Systems of Equations Algebraically Solving Nonlinear Systems of Equations Graphically Scenarios Involving Nonlinear Systems

BOOK 3

176 pages

UNIT 5: POLYNOMIAL FUNCTIONS & ROOTS
UNIT 6: INVERSE, SQUARE ROOT & CUBE ROOT FUNCTIONS

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​Unit 5

Introduction to Cubic Functions Applying Transformations to Cubic Functions Graphing Cubic Functions Writing a Cubic Function Graphing Polynomial Functions The Roots of a Polynomial Function The Shape of a Polynomial Function at its Roots The Multiplicity of a Root Using a Calculator to Find the Roots of Polynomial Function Solving Cubic Inequalities Finding Real Roots of Polynomials Making Connections Between Roots & Factors Synthetic Division Imaginary Roots of Polynomials Rational Root Theorem Polynomials with Imaginary Roots The Remainder Theorem

​Unit 6

Notation for Inverse Functions Graphing Inverse Functions Inverses That are not Functions Using Composition to Prove Two Functions are Inverses The Square Root Function Applying Transformations to Square Root Functions Graphing Square Root Functions Finding the Equation of a Square Root Function The Domain & Range of a Square Root Function The Cube Root Function Applying Transformations to Cube Root Functions Graphing Cube Root Functions Finding the Equation of a Cube Root Function Domains of Square Root Functions Domains of Rational Functions Combining Square Root & Rational Functions

BOOK 4

162 pages

UNIT 7: EXPONENTIAL EQUATIONS & FUNCTIONS
UNIT 8: LOGARITHMIC PROPERTIES, EQUATIONS & FUNCTIONS

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​Unit 7

Introduction to Rational Exponents Converting Between Exponential & Radical Form Solving Equations With Rational Exponents Exponential Equations Quadratic Exponential Equations Exponential Scenarios Half-Life Scenarios Exponential Patterns Writing an Exponential Function Applying Transformations to Exponential Functions Writing the Equation for an Exponential Function Exponential Growth & Decay Percent Scenarios Simple Interest Rate Scenarios Introduction to Compound Interest Continuously Compounded Interest

​Unit 8

Introduction to Logarithms Switching Between Exponential & Logarithmic Form Two Common Bases: 10 & e Switching Forms to Solve Exponential & Logarithmic Equations Switching Forms to Identify an Inverse Function The Product Rule for Logarithms The Quotient Rule for Logarithms The Power Rule for Logarithms Solving Logarithmic Equations Applications of Exponential & Logarithmic Functions The Graph of a Logarithmic Function Positive, Negative & Undefined Intervals Using Inverses to Simplify a Logarithm in an Exponent

BOOK 5

154 pages

UNIT 9: RADIANS, DEGREES & UNIT CIRCLE TRIGONOMETRY
UNIT 10: TRIGONOMETRIC EQUATIONS & IDENTITIES

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​Unit 9

Scenarios Involving Sine, Cosine & Tangent Angles in Degrees & Radians Negative Angles Coterminal Angles Reference Angles Common Sine & Cosine Ratios Building the Unit Circle Common Tangent Ratios Three Ways to Define the Tangent Ratio Reciprocal Trig Ratios Non-Unit Circle Ratios

​Unit 10

Reviewing Common Unit Circle Ratios Simple Trig Equations Advanced Trig Equations Simple Trig Equations: Non-Unit Circle Ratios General Solutions of Trig Equations Proving Trigonometric Identities Reciprocal & Quotient Identities Strategies for Proving Identities The 9 Pythagorean Identities Applying Strategies to Prove Identities

BOOK 6

144 pages

UNIT 11: GRAPHING TRIGONOMETRIC FUNCTIONS
UNIT 12: PERMUTATIONS, COMBINATIONS & PROBABILITY

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​Unit 11

Graphing Sine & Cosine Functions Vertical Shifts Vertical Stretches Horizontal Stretches Horizontal Shifts Modeling Sinusoidal Patterns The Cosecant Function The Secant Function The Tangent Function The Cotangent Function

​Unit 12

Counting Principles Permutations & Factorials Given N Items, Arrange R Defining Combinations Advanced Permutations & Combinations Introduction to Probability Using Permutations & Combinations to Calculate Probability Binomial Expansion

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