Course Outline

__Algebra II /
Trigonometry____
____Honors
(5330)__

__Text:__

__ Algebra 2 McDougal Littell
Series__

__(Larson, Boswell, Kanold,
Stiff)__

· 1.1 Real Number and Number Operations

· 1.2 Algebraic Expressions and Models

· 1.3 Solving Linear Equations

· 1.4 Rewriting Equations and Formulas

· 1.5 Problem Solving Using Algebraic Models

· 1.6 Solving Linear Inequalities

· 1.7 Solving Absolute Value Equations and Inequalities

· 2.1 Functions and their graphs (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 Slope and Rate of Change

· 2.3 Sketching Graphs of Linear Equations

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

·
2.5 Finding lines of Best
Fit/Linear regression/Scatter Plots/Using calculator for lines of Best
Fit

·
2.6 Linear Inequalities in Two
Variables

·
2.7 Piecewise Functions defined
/graphing piecewise defined functions (cover with honors)

· 2.8 Absolute Value Functions (cover only with honors)

· 3.1 Solving Linear Systems by Graphing

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

· 3.3 Graphing and Solving Systems of Linear Inequalities

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

· 5.1 Graphs of Quadratic Functions (5 key parts of the parabola: graphic)

· 5.2 Solving Quadratic Equations by Factoring and the Zero Product Property (will need to review factoring from Algebra I)

· 5.3 Solving Quadratic Equations by Finding Square Roots: (will need to review radicals: simplifying; addition/subtraction/multiplication/division of radicals, rationalizing denominators)

· 5.4 Complex Numbers

·
5.5 Solving Quadratic Equations by
Completing the Square (you can use completing the square to write the quadratic
function in vertex form, _{})

· 5.6 The Quadratic Formula and the Discriminant (solving quadratic equations with the quadratic formula; derive the quadratic formula and now find the 5 key parts of the parabola the algebraic way)

·
5.7 Graphing and Solving Quadratic
Inequalities (determine the domain of a quadratic that makes the function
positive, negative or zero) **(honors only)**

·
5.8 Modeling Quadratic
Functions: (Word Problems building
functions to solve real world problems. Writing Quadratic Functions given the x-
intercept form or the vertex form) **(honors only)**

· 6.1 Properties of Exponents

·
6.2 Evaluating and Graphing
Polynomial Functions of Degree 3 and Higher (Evaluating through Direct and
Synthetic Substitution

·
Graphs of Polynomial Functions
**(Investigating End Behavior)**

· 6.3 Adding Subtracting and Multiplying Polynomials (Skills needed to factor higher degree polynomials)

· 6.4 Factoring and Solving Polynomial Equations

· 6.5 Remainder and Factor Theorems (Long And Synthetic Division)

· 6.6 Finding Rational Zeros: Rational Zero Theorem

· 6.7 Using the Fundamental Theorem of Algebra

·
6.8 Analyzing Graphs of Polynomial
Functions (Turning Points: local maximum and local minimum **(honors
only)**

·
7.1 n^{th} Roots and
Rational Exponents

· 7.2 Properties of Rational Exponents

·
7.3 Power Functions and Function
Operations (Arithmetic of Functions and Composite Functions) **(honors
only)**

· 7.4 Inverse Functions

·
7.5 Graphing Square Root and cube
Root Functions **(honors only)**

· 7.6 Solving Radical Equations

· 8.1 Exponential Growth

· 8.2 Exponential Decay

·
8.3 Natural base e **(honors
only)**

· 8.4 Logarithmic Functions (using inverse properties and finding inverses)

· 8.5 Properties of Logarithms

· 8.6 Solving Exponential and Logarithmic Equations

· 10.1 The Distance and Midpoint Formulas

· 10.3 Circles Graphing and Writing Equations of Circles

· 13.1 Right Triangle Trigonometry

· 13.2 General Angles and Radian Measure

· 13.3 Trigonometric Functions of Any Angle

·
13.4 Inverse Trigonometric
Functions **(honors only if time permits)**

·
14.1 Graphing the Sine, Cosine and
Tangent Functions **(honors only if time permits)**

·
14.2 Translations and Reflections
of Trigonometric Graphs **(honors only if time
permits)**