2016 - 2017 Curriculum Catalog
Algebra II
©2016 Glynlyon, Inc.
Algebra II
Table of Contents
ALGEBRA II COURSE OVERVIEW........................................................................................................................ 1
UNIT 1: SET, STRUCTURE, AND FUNCTION ....................................................................................................... 1
UNIT 2: NUMBERS, SENTENCES, AND PROBLEMS............................................................................................. 1
UNIT 3: LINEAR EQUATIONS AND INEQUALITIES .............................................................................................. 2
UNIT 4: POLYNOMIALS ....................................................................................................................................... 2
UNIT 5: ALGEBRAIC FRACTIONS ........................................................................................................................ 2
UNIT 6: SEMESTER REVIEW AND EXAM............................................................................................................. 2
UNIT 7: REAL NUMBERS ..................................................................................................................................... 3
UNIT 8: QUADRATIC RELATIONS AND SYSTEMS ............................................................................................... 3
UNIT 9: EXPONENTIAL FUNCTIONS ................................................................................................................... 3
UNIT 10: COUNTING PRINCIPLES ...................................................................................................................... 4
UNIT 11: REVIEW ................................................................................................................................................ 4
UNIT 12: SEMESTER REVIEW AND EXAM .......................................................................................................... 4
UNIT 13: FINAL EXAM ........................................................................................................................................ 4
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Algebra II
Algebra II Course Overview
Algebra II is a full-year, high school math course intended for the student who has successfully completed the
prerequisite course Algebra I. This course focuses on algebraic techniques and methods in order to develop student
understanding of advanced number theory, concepts involving linear, quadratic and polynomial functions, and precalculus theories. This course also integrates geometric concepts and skills throughout the units, as well as introducing
students to basic trigonometric identities and problem solving.
By the end of the course, students will be expected to do the following:
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Understand set notation and the structure of mathematical systems.
Know how to use functional notation and operations on functions.
Simplify and solve algebraic fractions.
Perform operations on polynomials, including factoring, long division, and synthetic division.
Solve algebraic word problems involving mixtures, money, integers, and work.
Evaluate and solve radical expressions and equations.
Solve systems of equations with graphing, substitution, and matrices.
Graph and solve quadratic equations, including conic sections.
Graph and solve exponential and logarithmic equations.
Calculate permutations, combinations, and complex probabilities.
Unit 1: Set, Structure, and Function
Algebra II
Assignments
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Course Overview
Properties of Sets
Operations of Sets
Quiz 1: Set Theory
Structure: Axioms
Structure: Applications
Relations and Functions: Definitions
Relations and Functions: Graphs
Relations and Functions: Function Notation
Relations and Functions: Inverses
Quiz 2: Relations and Functions
Algebraic Expressions: Exponents Part 1
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Algebraic Expressions: Exponents Part 2
Algebraic Expressions: Multiplication and Division
Part 1
Algebraic Expressions: Multiplication and Division
Part 2
Exponents of Exponential Expressions
Algebraic Expressions: Combining Terms
Quiz 3: Algebraic Expressions
Special Project*
Test
Alternate Test*
Glossary and Credits
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Compound Sentences
Quiz 2: Equalities and Inequalities
Number Problems
Motion Problems
Miscellaneous Problems
Quiz 3: Problems
Special Project*
Test
Alternate Test*
Glossary and Credits
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Unit 2: Numbers, Sentences, and Problems
Algebra II
Assignments
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Number Order and Absolute Value
Sums and Products
Quiz 1: Numbers
Solving Equations
Multiplication Property
Multi-step Equations
Equations with Parentheses
Literal Expressions
Solving Inequalities
Graphing Solution Sets for Inequalities
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Algebra II
Unit 3: Linear Equations and Inequalities
Algebra II
Assignments
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Line Graphs
Line Graphs by Two Points
Slope of Lines Part 1
Slope of Lines Part 2
Equations: Point Slope Part 1
Equations: Point Slope Part 2
Equations: Point Slope Part 3
Equations: Slope-Intercept
General Equation of a Line
Quiz 1: Lines
Solutions for Systems of Equations
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Solutions by Addition
Solutions by Substitution
Application of Systems of Equations
Quiz 2: Solutions for Systems
Solving Inequalities
Solving Two-order Inequalities
Quiz 3: Solving Inequalities
Special Project*
Test
Alternate Test*
Glossary and Credits
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Quiz 2: Polynomials
Direct Variation
Inverse Variation
Joint and Combined Variation
Quiz 3: Working Variations
Project: Creating an Algorithm
Special Project*
Test
Alternate Test*
Glossary and Credits
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Proportions
Quiz 3: Fractional Equations
Applications of Fractions
Mixture Problems
Work Problems
Quiz 4: Problems with Fractions
Special Project*
Test
Alternate Test*
Glossary and Credits
Unit 4: Polynomials
Algebra II
Assignments
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Products and Factoring
Multiplying Polynomials by Polynomials
Using Special Products Part 1
Using Special Products Part 2
Factoring Trinomials
Factoring Special Products Part 1
Factoring Special Products Part 2
Quiz 1: Special Products
Addition and Subtraction Operations
Division with Polynomials
Synthetic Division
Unit 5: Algebraic Fractions
Algebra II
Assignments
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Multiplying and Dividing with Fractions
Reducing Rational Expressions
Multiplying Algebraic Fractions
Dividing Algebraic Fractions
Quiz 1: Algebraic Fractions
Adding and Subtracting Algebraic Fractions
Addition and Subtraction
Mixed Expressions and Complex Fractions
Quiz 2: Addition and Subtraction of Fractions
Equations with Fractions
Fractional Equations
Alg. II
Unit 6: Semester Review and Exam
Assignments
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Review
Exam
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Alternate Exam - Form A*
Alternate Exam - Form B*
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Algebra II
Unit 7: Real Numbers
Algebra II
Assignments
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Real Numbers
Law of Radicals
Conjugates
Radical Equations
Quiz 1: Real Numbers
Quadratic Equations
Factoring Quadratic Equations
Completing the Square
Quiz 2: Quadratic Solutions
Quadratic Formula
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Word Problems Involving Quadratic Equations
Sum and Product of Roots
The Discriminant
Imaginary Numbers
Quiz 3: Quadratic Formula
Special Project*
Test
Alternate Test*
Glossary and Credits
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Systems of Equations
Solutions of Inequalities
Applications of Conic Sections: Part 1
Applications of Conic Sections: Part 2
Applications of Conic Sections: Part 3
Constant of Proportionality
Quiz 3: Applications of Conics
Special Project*
Test
Alternate Test*
Glossary and Credits
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Graphs of Logarithmic Functions
Solving Logarithmic Equations
Logarithmic Applications
Quiz 2: Logarithmic Functions
Matrices
System Solutions with Matrices
Addition and Multiplication of Matrices
Quiz 3: Matrices
Special Project*
Test
Alternate Test*
Glossary and Credits
Algebra II
Unit 8: Quadratic Relations and Systems
Assignment Titles
1. Distance Formula
2. Circle
3. Ellipse
4. Ellipse Continued
5. Quiz 1: Conics and the Coordinate Plane
6. Conic Sections: Parabola
7. Conic Sections: Parabola Continued
8. Conic Sections: Hyperbola
9. Conic Sections: Hyperbola Continued
10. Identifying Conic Sections
11. Quiz 2: Conics
Algebra II
Unit 9: Exponential Functions
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Assignment Titles
1. Exponential Functions
2. Fractional Exponents
3. Exponential Equations
4. Graphing Exponential Functions
5. Exponential Applications
6. Quiz 1: Exponential Functions
7. Logarithmic Functions
8. Evaluation of Logarithms
9. Evaluating Exponential Functions, Common
Logarithms, and Natural Logarithms
10. General Properties of Logarithms
11. Scientific Notation
12. Calculation of Common Logarithms
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Algebra II
Algebra II
Unit 10: Counting Principles
Assignment Titles
1. Progressions: Sequences
2. Progressions: Series
3. Quiz 1: Sequences and Series
4. Permutations: Factorials
5. Permutation Formula
6. Permutations: Applications
7. Quiz 2: Permutations
8. Combination Formula
9. Combinations: Applications
10. Combinations: Binomial Coefficients
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Quiz 3: Combinations
Probability: Concepts
Probability: Equally Likely Outcomes
Probability: Multiplication Principle
Conditional Probability
Quiz 4: Probability
Special Project*
Test
Alternate Test*
Glossary and Credits
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Real Numbers Continued
Quiz 2: Review
Quadratic Relations and Systems
Quadratics Continued
Exponential Functions
Exponential Functions Continued
Counting Principles
Counting Principles Continued
Quiz 3: Review
Special Project*
Test
Alternate Test*
Glossary and Credits
Algebra II
Unit 11: Review
Assignment Titles
1. Integers
2. Integers Continued
3. Open Sentences
4. Open Sentences Continued
5. Graphs
6. Graphs Continued
7. Quiz 1: Review
8. Polynomials
9. Polynomials Continued
10. Algebraic Fractions Part 1
11. Algebraic Fractions Part 2
12. Algebraic Fractions Part 3
13. Real Numbers
Alg. II
Unit 12: Semester Review and Exam
Assignments
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Review
Exam
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Alternate Exam - Form A*
Alternate Exam - Form B*
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Alternate Exam - Form B*
Alg. II
Unit 13: Final Exam
Assignments
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Exam
Alternate Exam - Form A*
(*) Indicates alternative assignment
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