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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