Course Outline

__Algebra II / Trigonometry Honors
(5330)__

__Text:__

__ Algebra 2
McDougal Littell Series__

__(Larson,
Boswell, Kanold, Stiff)__

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

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

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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

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Constant Function is a polynomial function of degree 0. Takes the form _{}

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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

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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

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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)

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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)

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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

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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

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· 8.4 Multiply and Divide Rational Expressions

· 8.5 Add and Subtract Rational Expressions

· 8.6 Solve Rational Equations

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9.3 Graph and Write Equations of Circles

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13.1 Use Trigonometry with Right Triangle

· 13.2 Define General Angles and Use Radian Measure

· 13.3 Evaluate Trigonometric Functions of Any Angle

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13.4 Evaluate Inverse Trigonometric Functions **(if time permits)**

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