Algebra II/Trigonometry is designed to continue the study of topics explored in Algebra I. Topics include complex numbers; functions and graphs; systems of equations and inequalities; polynomial, logarithmic and exponential functions and equations; and sequences and series. Topics from trigonometry include circular functions, graphs and applications. Graphing calculators are used to enhance the understanding of realistic applications through mathematical modeling and to aid in the investigation and study of functions, equations and inequalities. Students may take the Standards of Learning (SOL) test for Algebra II. Students cannot receive credit for both Algebra II/Trigonometry and Algebra II (MA3135).
Algebra I (MA 3130) or Algebra I Honors (MA 3220)
Algebra II/Trig Essential Questions: How do I become a mathematical problem solver to better understand the world around me? In what ways can I communicate and represent my mathematical thinking? |
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What’s my Degree: Exploring Polynomials |
To Do and Undo: Exploring Rationals, Radicals, and Inverses |
Growth and Decay: Exploring Exponents and Logs |
Patterns and Sets: Exploring Sequences and Statistics |
Geometry and Algebra: Trigonometric Functions |
Focus of the Story |
How does the highest power of a function affect the overall model produced? We start our story by exploring working models of motion, such as a roller coaster, to learn the properties of polynomials of different degrees. |
What other types of models exist to describe real-world situations? Next, we explore models, such as the ideal gas law, to better understand the relations between independent and dependent variables. We then learn to simplify or solve radical and rational functions, equations, or expressions. |
What models exist that describe continuous growth or decay? We further our understanding of the real world by studying exponential growth or decay such as investments and debt. We then explore logarithms (logs) as the inverse of exponentials. |
How can we explore, analyze, and interpret large sets of data? Lastly, we analyze patterns and distributions to better understand the relationships between variables by learning the basics of statistics and probability. |
What deeper connections exist between Algebraic and Geometric Thinking? Lastly, we explore applications of trigonometry to better understand the relationship between the physical and abstract by studying topics such as waves and sound. |
Transfer Goals |
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Learning Targets |
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Algebra II/Trig: Assessment Matrix |
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Unit 0: Function Families |
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Unit 1: Absolute Value Equations and Inequalities |
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Unit 2: Quadratic Functions and Equations |
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Unit 3: Polynomials and Polynomial Functions |
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Unit 4: Rational Functions and Relations |
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Unit 5: Inverses and Radical Functions |
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Unit 6: Exponential and Logarithmic Functions |
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Unit 7: Sequences and Series |
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Unit 8: Probability and Statistics |
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Unit 9: Trigonometry |
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