Department/Grade: Math/Grades 8-12 Course: Algebra II Revision Date: January, 2008
Required/Elective: Required Course Length: 1 year Prerequisites: Algebra I and Geometry
Course Description: This course is built on the basic concepts and principles in Algebra I. Students will work extensively with nonlinear functions while continuing to develop their power to think and work systematically. The content outline for Algebra II and Algebra II Honors is the same, but the Algebra II Honors class is structured to meet the needs of the more advanced mathematics students. The objectives in the content outline are covered in greater depth and in a more rigorous manner. The Algebra II Honors course is for those students who wish to advance to Calculus during their senior year
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COURSE OBJECTIVES
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CONTENT OUTLINE
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Simplify expressions and solve equations and inequalities
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- Evaluate and simplify expressions involving real numbers
- Solve linear and nonlinear equations and inequalities
- Solve absolute value equations and inequalities
- Perform operations with matrices
- Simplify expressions involving powers
- Multiply polynomials
- Evaluate nth roots and study rational exponents
- Simplify expressions involving rational exponents
- Solve radical equations
- Solve exponential and logarithmic equations
- Write exponential and power functions
- Add, subtract, multiply and divide rational expressions
- Find the length and midpoint of a line segment
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Represent relations and functions
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- Represent relations and graph linear functions
- Find slopes of lines and rates of change
- Graph linear equations in slope-intercept or standard form
- Write linear equations
- Write and graph direct variation equations
- Fit lines to data in scatter plots
- Graph and write absolute value functions
- Graph linear inequalities in two variables
- Graph quadratic functions
- Graph quadratic functions in vertex form or intercept form
- Write quadratic functions and models
- Graph square root and cube root functions
- Graph and use exponential growth functions
- Graph and use exponential decay functions
- Study functions involving the natural base e
- Graph square root and cube root functions
- Graph and use exponential growth functions
- Graph and use exponential decay functions
- Study functions involving the natural base e
- Graph rational functions
- Graph and write equations of circles
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Use Counting Methods and Probability
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- Use the fundamental counting principle and permutations
- Use combinations and the binomial theorem
- Find the likelihood that an event will occur
- Find probabilities of compound events
- Examine independent and dependent events
- Study probability distributions
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Use data
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- Describe data using statistical measures
- Learn how transformations of data affect statistics
- Study normal distributions
- Choose the best model to represent a set of data
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Use sequence and series
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- Recognize and write rules for number patterns
- Study arithmetic sequences and series
- Study geometric sequences and series
- Use recursive rules for sequences
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Use trigonometry
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- Use trigonometric functions to find lengths
- Use general angles that may be measured in radians
- Evaluate trigonometric functions of any angle
- Find angles given values of trigonometric functions
- Solve triangles that have no right angle
- Solve triangles using the law of cosines
- Verify trigonometric identities
- Use trigonometric sum and difference formulas
- Use double-angle and half-angle formulas
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RESOURCE MATERIALS
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ASSESSMENT OPTIONS
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- Major Text – Algebra II (McDougall Littell)
- Chapter Resource Books
- Chapter Transparency Books
- Notetaking Guide
- Power Presentations: The Electronic Classroom CD-ROM
- Activity Generator CD-ROM
- Easy Planner CD-ROM
- www.classzone.com
- Animated Algebra CD-ROM
- @HomeTutor CD-ROM
- Test Generator CD-ROM
- www.studyisland.com
- Unit Tests
- Cumulative Tests
- Midterm Exam
- Final Exam
- Standardized Tests
- Open-Ended Assessments
- Quizzes
- Projects
- Math Journal
- Oral Presentations
- Observation
- Evaluate written work
- Performance assessments
- Tests, quizzes
- Problem solving journal/activity
- Evaluate oral response
- Anecdotal records
- Performance tasks
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