
Pre-Calculus
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The Complex Number System
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Perform arithmetic operations with complex numbers.
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Represent complex numbers and their operations on the complex plane.
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Vector and Matrix Quantities
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Represent and model with vector quantities.
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Perform operations on vectors.
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Perform operations on matrices and use matrices in applications.
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Seeing Structure in Expressions
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Interpret the structure of expressions.
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Arithmetic with Polynomials and Rational Expressions
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Rewrite rational expressions.
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Creating Equations
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Create equations that describe numbers or relationships.
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Reasoning with Equations and Inequalities
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Solve systems of equations.
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Interpreting Functions
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Interpret functions that arise in applications in terms of the context.
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Analyze functions using different representations.
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Understand the concept of a function and use function notation.
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Interpret functions that arise in applications in terms of the context.
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Analyze functions using different representations.
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Building Functions
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Build new functions from existing functions.
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Trigonometric Functions
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Extend the domain of trigonometric functions using the unit circle.
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Model periodic phenomena with trigonometric functions.
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Prove and apply trigonometric identities.
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Geometry
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Similarity, Right Triangles, and Trigonometry
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Apply trigonometry to general triangles
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Expressing Geometric Properties with Equations
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Translate between the geometric description and the equation for a conic section