Course Description

In this course students will use their prior knowledge from previous courses to learn and apply Algebra II skills. This course will include topics such as functions, radical functions, rational functions, exponential and logarithmic functions, trigonometry, geometry, conic sections, systems of equations, probability, and statistics. Students will apply the skills that they learn in this course to real world situations.

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Course Objectives

As a result of successfully completing this course, you will:

• Work effectively with ratios and direct variation
• Add, subtract, multiply, and divide radical expressions, polynomials, and polynomial expressions
• Work with arithmetic sequences and linear patterns
• Understand different types of graphs, including histograms, line graphs, circle graphs, and stem-and-leaf plots
• Read, write, evaluate, and understand the properties of mathematical expressions including real numbers, radicals, and polynomials
• Read, write, solve, and graph linear equations and inequalities.
• Students will solve absolute value equations and inequalities
• Solve systems of linear equations and inequalities
• Understand basic statistics including measures of central tendencies

DoDEA Algebra II Standards may be viewed by clicking the link.

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Course Outline Semester 1

Module I: Linear and Quadratic Functions
Section 1 - Functions and Relations
Section 2 - Solving Linear Equations and Inequalities
Section 3 - Writing and Graphing Linear Functions
Section 4 - Graphing Quadratic Functions
Section 5 - Solving Quadratic Functions
Section 6 - Graphing Zeros and Min/Max Values
Section 7 - Determining a Quadratic Function

Module II: Radical Functions
Section 1 - Roots and Properties of Exponents
Section 2 - Graphing Radical Functions and Domain and Range
Section 3 - Solving Radical Equations and Inequalities

Module III: Rational Functions
Section 1 - Direct and Inverse Variation
Section 2 - Graphing Rational Functions and Domain and Range
Section 3 - Solving Rational Equations and Inequalities

Module IV: Exponential and Logarithmic Functions
Section 1 - Comparing Logarithmic and Exponential Functions
Section 2 - Graphing Exponential Functions and Domain and Range
Section 3 - Exponential Growth and Decay
Section 4 - Graphing Logarithmic Functions and Domain and Range
Section 5 - Solving Exponential and Logarithmic Equations

Module V: Trigonometric Functions
Section 1 - Right Triangle Trigonometry
Section 2 - Basic Angles and Radian Measures
Section 3 - Trigonometric Values in all Four Quadrants
Section 4 - Inverse Trigonometric Values
Section 5 - Graphing Trigonometric Functions

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Course Outline Semester 2

Module VI: Systems of Equations and Inequalities
Section 1 - Matrices and Determinants
Section 2 - Systems of Equations
Section 3 - Systems of Inequalities
Section 4 - Systems of Equations with Three Variables

Module VII: Geometry
Section 1 - Constructing and Transforming Geometric Shapes
Section 2 - Geometry of Quadrilaterals
Section 3 - Geometry of Triangles
Section 4 - Geometry of Circles

Module VIII: Conic Sections
Section 1 - Introduction to Conic Sections
Section 2 - Parabolas
Section 3 - Circles
Section 4 - Ellipses
Section 5 - Hyperbolas

Module IX: Probability and Statistics
Section 1 - Determining Probability
Section 2 - Permutations and Combinations
Section 3 - Binomial Theorem
Section 4 - Scatterplots and Lines of Best Fit
Section 5 - Scatterplots and Curves of Best Fit
Section 6 - Sampling Methods and Experimental Designs
Section 7 - The Normal Curve

Module X: Patterns and Sequences, Logic and Reasoning
Section 1 - Arithmetic Sequences and Series
Section 2 - Geometric Sequences and Series
Section 3 - Logic

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Required Textbook/ Materials

The DoDEA adopted text for Algebra II is available for students.  Students should check with their facilitators to get a copy of the book.  If the school does not have texts stored in the area where the VS students have class, ask your facilitator to check with the math department.

However, the text is NOT necessary!  The on-line course does not follow the exact same order of topics and homework problems do not come from the text.  If you do not have access to the book it will not adversely affect your progress in this course.

The Textbook for Algebra II is:

Text - Holt McDougal - Larson: Algebra 2, Student Edition, 2011
Student practice workbook
Publisher: Holt-McDougal; Houghton-Mifflin

It is a green, huge, book with a picture of runners on a track on the front of it.

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