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0002-1
analyzing and applying
properties of the real number
system (e.g., distributive,
associative)
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o
Review/Practice |
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§
Basic operations with complex
numbers |
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Properties – Study Guide |
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Number properties |
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§
complex numbers |
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v
BRAIN POP MOVIES |
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Commutative Property |
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Associative Property |
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Distributive Property |
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Properties |
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Extra Practice - Properties |
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0002-2
analyzing number operations
(e.g., roots, laws of exponents)
related to real numbers
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o
Review/Practice |
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§
Operations on complex numbers |
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Powers and Roots of Complex
Numbers |
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The Rational Root Theorem |
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Polynomial Functions |
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Quadratic Equations |
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The Remainder and Factor
Theorems |
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Locating Zeros of a Polynomial
Function |
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Rational Equations and Partial
Fractions |
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Radical Equations and
Inequalities |
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Modeling Real-World Data with
Polynomial Functions |
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0002-3
identifying appropriate
representations of complex
numbers (e.g., rectangular,
polar, vector, matrix) for
particular situations
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o
Review/Practice |
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Complex Numbers |
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Vocabulary |
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Basic definitions |
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Basics of complex numbers |
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Basic review of complex numbers |
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Introduction to Complex Numbers |
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Graphical Representation of
Complex numbers |
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Polar Form of Complex Number |
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Exponential Form of Complex |
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Complex numbers as vectors |
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Representations for Complex
Numbers |
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Polar Representation of Complex
Numbers |
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Exponential Form of Complex
Numbers |
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Geometric Vectors |
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Algebraic Vectors |
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Vectors in Three-dimensional
Space |
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Perpendicular Vectors |
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Applications with Vectors |
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Vectors and Parametric Equations |
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Modeling Motion Using Parametric
Equations |
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Transformational Matrices in
Three-dimensional Space |
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Polar
Coordinates |
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Graphs of Polar Equations |
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Polar and Rectangular
Coordinates |
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Polar Form of a Linear Equation |
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Simplifying Complex Numbers |
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The Complex Plan and Polar Form
of Complex Numbers |
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Products and Quotients of
Complex Numbers in Polar Form |
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Powers and Roots of Complex
Numbers |
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0002-4
analyzing, simplifying, and
applying operations (e.g.,
addition, multiplication, roots)
to expressions involving complex
numbers, including their
trigonometric forms
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o
Review/Practice |
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§
Products and Quotients of
Complex Numbers |
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Angles and Degree Measure |
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Trigonometric Ratios in Right
Triangles |
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Trigonometric Functions on the
Unit Circle |
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Applying Trigonometric Functions |
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Solving Right Triangles |
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The Law of Sines |
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The Ambiguous Case for the Law
of Sines |
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The Law of Cosines |
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