Course Outline

Algebra II / Trigonometry Honors (5330)

Text:

Algebra 2 McDougal Littell Series

(Larson, Boswell, Kanold, Stiff)

Equations and Inequalities: Chapter 1

(This Chapter is a review from Algebra 1)

v 1.1 Apply Properties of Real Numbers

v 1.2 Evaluate and Simplify Algebraic Expressions

v 1.3 Solve Linear Equations

v 1.4 Rewrite Formulas and Equations

v 1.5 Use Problem Solving Strategies and Models

v 1.6 Solve Linear Inequalities

v 1.7 Solve Absolute Value Equations and Inequalities

Linear Equations and Functions: Chapter 2

· 2.1 Represent Relations and Functions (relations, mapping, domain, range, vertical line test, graphing and evaluating functions))

· Introduce Polynomial Function Notation: A polynomial function is a function of the form: where , the exponents are all whole numbers, and the coefficients are all real numbers. Discuss polynomial function in standard form, the degree of a polynomial function, define is the leading coefficient is the constant term and is the degree of each term

· Constant Function is a polynomial function of degree 0. Takes the form

· Linear Functions are polynomial functions of degree 1. Take the form

· 2.2 Find Slope and Rate of Change

· 2.3 Graph Equations of Lines

· 2.4 Write Equations of Lines: (point-slope, slope-intercept and standard form)

· 2.5 Model Direct Variation

· 2.6 Draw Scatter Plots and Best-Fitting Lines

· 2.7 Use Absolute Value Functions and Transformations

· 2.8 Graph Linear Inequalities in Two Variables

Systems of Linear Equations and Inequalities: Chapter 3

· 3.1 Solve Linear Systems by Graphing

· 3.2 Solve Linear Systems Algebraically (substitution method, elimination or linear combination method

· 3.3 Graph Systems of Linear Inequalities

Quadratic Functions and Factoring: (Polynomial Function of Degree 2): Chapter 4

· Define quadratic expression, quadratic function, quadratic equation and quadratic formula

· 4.1 Graph Quadratic Functions in Standard Form(5 key parts of the parabola: graphic)

Polynomial Functions of Degree 3 and Higher: Chapter 5

· 5.1 Use Properties of Exponents

· 5.2 Evaluate and Graph Polynomial Functions of Degree 3 and Higher

· 5.3 Add, Subtract, and Multiply Polynomials (Skills needed to factor higher degree polynomials)

· 5.4 Factor and Solve Polynomial Equations

· 5.5 Apply the Remainder and Factor Theorems (Long And Synthetic Division)

· 5.6 Find Rational Zeros: Rational Zero Theorem

· 5.7 Apply the Fundamental Theorem of Algebra

· 5.8 Analyze Graphs of Polynomial Functions (Turning Points: local maximum and local minimum)

Rational Exponents and Radical Functions: Chapter 6

· 6.1 Evaluate nth Roots and Use Rational Exponents

· 6.2 Apply Properties of Rational Exponents

· 6.3 Perform Function Operations and Compositions

· 6.4 Use Inverse Functions

· 6.5 Graph Square Root and cube Root Functions

· 6.6 Solve Radical Equations

Exponential and Logarithmic Functions: Chapter 7

· 7.1 Graph Exponential Growth Functions

· 7.2 Graph Exponential Decay Functions

· 7.3 Use Functions Involving e

· 7.4 Evaluate Logarithms and Graph Logarithmic Functions

· 7.5 Apply Properties of Logarithms

· 7.6 Solve Exponential and Logarithmic Equations

Rational Expressions: Chapter 8

· 8.4 Multiply and Divide Rational Expressions

· 8.5 Add and Subtract Rational Expressions

· 8.6 Solve Rational Equations

Circles: Chapter 9

· 9.3 Graph and Write Equations of Circles

Trigonometric Ratios and Functions: Chapter 13

· 13.1 Use Trigonometry with Right Triangle

· 13.2 Define General Angles and Use Radian Measure

· 13.3 Evaluate Trigonometric Functions of Any Angle

· 13.4 Evaluate Inverse Trigonometric Functions (if time permits)

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