Mr. Johnson

Roane County High School

Department of Mathematics

Algebra 2

2016-2017

SYLLABUS

INSTRUCTOR INFORMATION
Name: Mr. Johnson
Email:

COURSE INFORMATION

Course Objectives: A course in algebraic functions, their properties and uses-equations, inequalities, graphs, systems of linear and nonlinear equations and inequalities, rational expressions and equations, exponential and logarithmic functions and trigonometry. Applications will be related to real word situations in all areas.

Learning Outcomes: Students will demonstrate the ability to:

Make sense of problems and persevere in solving them.

Reason abstractly and quantitatively.

Construct viable arguments and critique the reasoning of others.

Model with mathematics.

Use appropriate tools strategically.

Attend to precision.

Look for and make use of structure.

Look for and express regularity in repeated reasoning

Prerequisites for the course: Algebra 1 and Geometry

Course Topics:

First Nine Weeks

Unit 1 – Functions

Relations and Functions

Composite Functions (all types)

Tables to Functions (calculator)

Inverse Relations and Functions

Unit 2 - Linear Systems

Graphing Systems of Equations

Solving Systems Algebraically (Substitution)/Nonlinear

Solving Systems Algebraically (Elimination)

Systems with Three Variables (applications)

Systems of Inequalities

Unit 3 – Polynomials

Operations with Exponents

Polynomial Addition/Subtraction

Polynomial Multiplication

Factor by GCF & Grouping

Factor Quadratic Polynomials

Factor Special Binomials

Unit 4 – Radical Functions

Simplifying Radicals

Addition and Subtraction of Radicals

Multiplication of Radicals

Division of Radicals

Rational Exponents

Radical Equations

Complex Numbers

Divide/Multiply Complex Numbers

Second Nine Weeks

Unit 5 – Quadratic Equations

Solve by Factoring

Solve by the Quadratic Formula

Graphing Quadratic Equations

Writing Quadratic Equations

Unit 6 – Polynomial Functions

Long Division

Synthetic Division

Rational Root Theorem/Remainder Theorem

Polynomial Equations Finding Roots

Writing Polynomial Equations

Unit 7 – Rational Expressions

Simplifying Rational Expressions

Multiplying Rational Expressions

Dividing Rational Expressions

Add/Subtract Rational Expressions

Solving Rational Equations (Linear & Quadratic)

Rate of Work

Third Nine Weeks

Unit 8 – Exponential Equations

Exponential Equations

Logarithms/Evaluating

Logarithmic Inverses

Properties of Logarithms

Logarithmic Equations

Exponential Equations require Logarithms

Natural Logarithms

Money Applications

Unit 9 – Sequences and Series

Arithmetic Sequences/Mean

Geometric Sequences/Mean

Arithmetic Series/Summation Notation

Geometric Series

Infinite Geometric Series

Unit 10 – Graphing Parent Functions

Graphing Linear Equations

Graphing Quadratic Equations

Graphing Radical Functions

Graphing Radical Functions

Graphing Rational Functions

Graphing Exponential/Logarithmic Equations

These sections will include Intercepts, Domain and Range, Increasing & Decreasing Intervals, Maximum and Minimums, Symmetry, Average rate of change, End behavior, Transformations, Zeros, and Even and Odd Functions.

Fourth Nine Weeks

Unit 11 – Trigonometric Functions and Graphs

Trigonometric Ratios

Inverse Trigonometric Ratios

Degrees and Radians

Unit Circle

Know Trig Identities

Unit 12 – Probability/Statistics

Using All (linear,exp.,quad) Models with Scatter Plots

Standard Deviation

Normal Distribution

Probability

Multiplying Probabilities

Adding Probabilities

Conditional Probability

Samples and Surveys

TEXTBOOKS AND SUPPLEMENTARY MATERIALS

Textbook: Algebra 2 by Charles, Hall, Kenndy, Bellman, Bradd, Handlin, Murphy, and Wiggins; 2012, Pearson/Prentice Hall; ISBN #978-0-13-253150-4.

Supplementary Materials: A scientific calculator is required. It must have logarithmic and exponential capabilities. A graphing calculator is encouraged.

GRADING AND EVALUATION

Grading procedure: :

Grading scale: A: 93-100; B: 85-82; C: 75-83; D: 70-74; F: Below 70.

Assignments and Evaluations:

Attendance Policy:

Testing Policies:

SYLLABUS CHANGES

The instructor reserves the right to make changes to the syllabus as long as the students are notified.

OPTIONAL ITEMS (TO BE ADDED BY INDIVIDUAL FACULTY MEMBERS)