Pre-Calculus
Unit	Count
Functions	89
Linear and Quadratic Functions	36
Polynomial Functions	106
Matrices	132
Sequences and Series	108
Exponential and Logarithmic Functions	63
Graphing Functions with Transformations	46
Trigonometric Functions	351
Parametric and Polar Equations	86
Limits and Derivatives	124
Conic Sections	111
TOTAL	1141
Unit	Count	Section
Functions	19	Function Notation and Evaluation
	10	Compositions and Decompositions
	12	Algebra of Functions
	22	Inverse Functions
	16	Domain and Range (graph and equation)
	10	Solving Equations (Radical, quadratic, absolute value, fractional,  f(x) = 0)
Linear and Quadratic Functions	6	The Equation of a Quadratic (parabola)
	7	Parallel and Perpendicular Lines
	7	Regressions (Calculator) and Word Problems
	11	Completing the Square (Vertex form and finding roots)
	5	Parabola and Linear Word Problems (max, min, zeros)
Polynomial Functions	16	Synthetic Division
	11	Solving Polynomial Equations using u-Substitution
	26	Characteristics of Parabolas, Cubics, Quartics and Quintics
	6	Relative and Absolute Maximum and/or Minimum and Range
	13	Sketch given an Equation
	5	Increasing and Decreasing Functions
	8	Even and  Odd Functions
	14	Rational Functions
	7	Radical Functions
Matrices and Vectors	10	Addition and Subtraction with Matrices
	19	Multiplication with Matrices
	12	Inverses
	8	Solving Systems using Matrices (word problems)
	13	Matrix Equations
	41	Matrix Transformations
	20	Vector Components
	9	Vector Operations
Sequences and Series	18	Sequences
	24	Arithmetic and Geometric Sequences
	23	Arithmetic and Geometric Series
	16	Sums, Binomial Expansion, Binomial Theorem, Combinations, Pascal
	9	Limits of Sequences
	10	Sums of Infinite Series
	8	Word Problems
Exponential and Logarithmic Functions	16	Rational Exponents
	9	Exponential and Logarithmic Functions and Regressions
	10	Properties of Logarithms (expansion and contraction)
	13	Exponential and Log Equations and Inequalities including Domain
	6	Growth and Decay
	9	Compound Interest
Graphing Functions with Transformations	10	Vertex Form of a Parabola and Absolute Value
	12	Logs and Exponentials
	8	Radicals
	16	Domain and Range
Trigonometric Functions	22	Trigonometric Ratios of Acute Angles
	26	Angle Measurement: Degrees and Radians
	42	Extended Definitions of Trigonometric Ratios
	21	Pythagorean and Quotient Identities
	18	The Law of Cosines
	38	The Law of Sines
	25	The Area of a Triangle
	22	The Sum and Difference of Two Angles
	20	Double and Half Angle Identities
	43	Trigonometric Equations
	74	Graphing and Transformations
Parametric and Polar Equations	6	Convert between Rectangular and Parametric Form
	26	Convert between Rectangular and Polar Form
	20	Graphing Equations
	15	Vectors
	19	Writing Complex Numbers in Polar Form
Limits and Derivatives	9	Limit Definition of Derivatives
	32	Derivatives (short cut) and Graphs of Derivatives
	35	Applications (velocity, acceleration, max and min, Tangent Lines)
	8	Area under a Curve
	29	Limits
	11	Points of Inflection
	20	Introduction to conic sections and the circle
Conic Sections	18	Ellipses
	23	Hyperbolas
	35	Parabolas
	15	Systems of Equations
Theme	Count
Operations	135
Estimation	2
Variables and Expressions	21
Equations and Inequalities	107
Patterns, Relations and functions	434
Geometry (angles, lines)	2
Trigonometry	346
Area, Volume, Perimeter of shapes including polygons and circles	8
Transformational Geometry	61
Coordinate Geometry	124
Analysis of Data	8
Predictions from Data	4
Level	Count
Basic	407
Intermediate	571
Advanced	274
Attribute	Count
Diagram	17
Table	62
Graph	95
Word Problem	89
Proof	8
Short Answer Fill-in	331