Number and Quantity
Use complex numbers, vectors, and matrices.
Addition of Complex Numbers
Complex Number Concept
Complex Number Form
Complex Number Conjugate
Inverse of Complex Numbers
Modulus and Argument of Complex Numbers
Multiplication of Complex Numbers
Principal Argument of Complex Numbers
Properties of Addition of Complex Numbers
Properties of Complex Number Modulus
Properties of Multiplication of Complex Numbers
Properties of Principal Argument of Complex Numbers
Scalar Multiplication of Complex Numbers
Column and Row Vectors
Equivalent Vectors
Reciprocal Vector
Position Vector
Scalar Vector Multiplication
Three-Dimensional Vector
Two-Dimensional Vector
Unit Vector from a Vector
Vector Addition
Vector Components
Vector Concept
Vectors and Coordinate System
Vector Subtraction
Vector Types
Zero Vector
Cofactor Expansion Method
Matrix Addition
Matrix Concept
Matrix Determinant
Matrix Equality
Matrix Inverse
Matrix Multiplication
Matrix Scalar Multiplication
Matrix Subtraction
Matrix Transpose
Matrix Types
Properties of Matrix Determinant
Sarrus Method
Algebra
Solve equations, polynomials, and exponentials.
Linear Equation Systems
Linear Inequality Systems
Quadratic Equations
Quadratic Equation Factorization
Quadratic Formula
Imaginary or Non-Real Roots
Completing the Square
Types of Quadratic Equation Roots
Characteristics of Quadratic Functions
Constructing Quadratic Functions
Determining Maximum Area
Determining Minimum Area
Addition and Subtraction of Polynomials
Division of Polynomials
Factor Theorem
Horner's Method
Multiplication of Polynomials
Polynomial Concept
Polynomial Degree
Complete Polynomial Factorization
Polynomial Function
Polynomial Graph
Polynomial Identity
Rational Zero Theorem
Remainder Theorem
Polynomial Long Division
Exponent Concepts
Exponential Decay
Exponential Growth
Function Definition
Function Exploration
Logarithm Definition
Logarithm Properties
Property Proofs
Exponent Properties
Radical Form
Rationalizing Radicals
Functions
Model, compose, and transform functions.
Absolute Value Function
Asymptote
Exponential Function
Logarithmic Function Concept
Logarithmic Function Graph
Logarithmic Function Identity
Piecewise Function Modeling
Rational Function
Square Root Function
Step Function Modeling
Trigonometric Function of Arbitrary Angle
Trigonometric Function Graph
Trigonometric Identity
Addition and Subtraction of Functions
Domain, Codomain, and Range
Function and Non-Function
Function Composition
Function Concept
Injective, Surjective, and Bijective Functions
Inverse Function
Multiplication and Division of Functions
Properties of Function Composition
Properties of Inverse Function
Combined Function Transformations
Horizontal Dilation
Horizontal Reflection
Horizontal Translation
Rotation
Vertical Dilation
Vertical Reflection
Vertical Translation
Geometry
Use circles, coordinates, and trigonometry.
Central Angle and Inscribed Angle
Circle and Arc Circle
Circle and Chord
Circle and Tangent Line
External Tangent Line and Internal Tangent Line
Properties of Angle in Circle
Definition of Circle
Ellipse
Equation of a Tangent Line to a Circle
Equation of Circle
Hyperbola
Parabola
Position of a Line to a Circle
Position of a Point to a Circle
Position of a Tangent Line to a Circle
Position of Two Circles
Tangent Line to Conic Sections
Right Triangle Side Naming
Trigonometric Comparison: Sine and Cosine
Special Angles in Trigonometric Comparisons
Trigonometric Comparison: Tangent
Applications of the Tangent Ratio
The Three Primary Trigonometric Comparisons
Trigonometry Concept
Statistics and Probability
Read data, chance, and regression models.
Applications of Measures of Central Tendency
Histogram
Interquartile Range
Mean (Average)
Mean for Grouped Data
Median and Modal Class for Grouped Data
Mode and Median
Percentiles for Grouped Data
Quartiles for Grouped Data
Quartiles for Ungrouped Data
Relative Frequency
Variance and Standard Deviation for Grouped Data
Variance and Standard Deviation for Ungrouped Data
Addition Rule
Probability Distribution
Mutually Exclusive Events A and B
Non-Mutually Exclusive Events A and B
Coefficient of Determination
Correlation Analysis Concept
Least Squares Method
Linear Regression Concept
Product Moment Correlation
Scatter Diagram
