Number and Quantity
Use complex numbers, vectors, and matrices.
Addition of Complex Numbers
Understanding Complex Numbers
Complex Number Form
Conjugates of Complex Numbers
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 the Modulus of a Complex Number
Properties of Multiplication of Complex Numbers
Properties of Principal Argument of Complex Numbers
Scalar Multiplication of Complex Numbers
Column and Row Vectors
Equivalent Vectors
Opposite Vector
Position Vector
Scalar Multiplication of Vectors
Vectors in Three Dimensions
Vectors in Two Dimensions
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
Understanding Matrices
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
Nonreal Roots of Quadratic Equations
Completing the Square
Types of Quadratic Equation Roots
Characteristics of Quadratic Functions
Constructing Quadratic Functions
Determining a Maximum Area
Determining a Minimum Area
Addition and Subtraction of Polynomials
Division of Polynomials
Factor Theorem
Horner 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
Understanding Exponents
Exponential Decay
Exponential Growth
Defining Exponential Functions
Exponential Function Models
Defining Logarithms
Logarithm Properties
Proving Exponent Properties
Exponent Properties
Radical Form
Rationalizing Radical Expressions
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
Functions and Other Relations
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
Circles and Circular Arcs
Chords of a Circle
Tangents to Circles
Common External and Internal Tangents
Angle Theorems in Circles
Definition of Circle
Ellipse
Equation of a Tangent Line to a Circle
Equation of Circle
Hyperbola
Parabola
Position of a Line Relative to a Circle
Position of a Point to a Circle
Circle Tangents and Their Equations
Position of Two Circles
Tangent Lines to Conic Sections
Right Triangle Side Naming
Sine and Cosine Ratios
Special Angles in Trigonometric Comparisons
Tangent Ratio
Applications of the Tangent Ratio
The Three Primary Trigonometric Ratios
Foundations of Trigonometry
Statistics and Probability
Read data, chance, and regression models.
Applications of Measures of Central Tendency
Histogram
Interquartile Range
Arithmetic Mean
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
Overlapping Events A and B
Coefficient of Determination
Correlation Analysis Concept
Least Squares Method
Linear Regression Concept
Product Moment Correlation
Scatter Diagram