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MAA401B: Algebra 2B (2013-2014)

CURRICULUM PROGRAM: Mathematics
COURSE TITLE: Algebra IIB
CALENDAR YEAR: 2013-2014
GRADE LEVEL: 10-12
CODE: MAA401B
TYPE: REG
CREDITS: 1.00
COURSE LENGTH: 18 weeks

Major Concepts/Content: n 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.

Competencies:
DoDEA Algebra II

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

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

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

Essential Software:

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.

Course Notes: Second semester of Algebra II-to be offered only during the Fall Semester