Algebra II
Grade level: 9-11
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Tools of Algebra |
Properties of real numbers; algebraic expressions; solving equations; solving inequalities; absolute value equations and inequalities; probability |
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Functions, Equations, and Graphs |
Relations and functions; linear equations; direct variation; using linear models; absolute value functions and graphs; vertical and horizontal translations; two-variable inequalities |
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Linear Systems |
Graphing systems of equations; solving systems algebraically; systems of inequalities; linear programming; graphs in three dimensions; systems with three variables |
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Quadratic Equations and Functions |
Modeling data with quadratic functions; properties of parabolas; translating parabolas; factoring quadratic expressions; quadratic equations; complex numbers; completing the square; the quadratic formula |
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Polynomials and Polynomial Functions |
Polynomial functions; polynomial and linear factors; dividing polynomials; solving polynomial equations; theorems about roots of polynomial equations; The Fundamental Theorem of Algebra; permutations and combinations; The Binomial Theorem |
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Radical Functions and Rational Exponents |
Roots and radical expressions; multiplying and dividing radical expressions; binomial radical expressions; rational exponents; solving radical equations; function operations; inverse relations and functions; graphing radical functions |
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Exponential and Logarithmic Functions |
Exploring exponential models; properties of exponential functions; logarithmic functions as inverses; properties of logarithms; exponential and logarithmic equations; natural logarithms |
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Rational Functions |
Inverse variation; graphing inverse variations; rational functions and their graphs; rational expressions; adding and subtracting rational expressions; solving rational equations; probability of multiple events |
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Quadratic Relations |
Exploring conic sections; parabolas; circles; ellipses; hyperbolas; translating conic sections |
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Periodic Functions |
Exploring periodic data; angles and the unit circle; radian measure |
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Trigonometric Identities and Equations |
Right triangles and trigonometric ratios; area and The Law of Sines; The Law of Cosines |
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Probability and Statistics |
Probability distributions; conditional probability; analyzing data; standard deviation; working with samples; binomial distributions; normal distributions |
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Sequences and Series |
Mathematical patterns; arithmetic sequences; geometric sequences; arithmetic series; geometric series; area under a curve |