·   Reducing rational expressions
·   Multiplying rational expressions
·   Dividing rational expressions
·   Adding or subtracting rational expressions that
  have the same denominator
·   Adding or subtracting rational expressions that
 have different denominators
·   Simplifying complex fractions
·   Simplifying complex rational expressions
·   Solving fractional equations

·   Completing the real-number line
·   Graphing solution sets involving one variable on a number line
·   Absolute-value equations
·   Absolute-value inequalities
·   Roots and radicals
·   Simplifying a radical
·   Adding and subtracting radicals
·   Multiplying radicals with the same index
·   Dividing radicals with the same index
·   Rationalizing a denominator containing a radical
·   The quadratic formula and quadratic equations with real roots
·   Solving radical equations

·   Imaginary numbers
·   Complex numbers
·   Addition and subtraction of complex
·   Multiplication of complex numbers
·   Multiplicative inverses and division of complex numbers
·   Solving quadratic equations with imaginary roots
·   The nature of the roots of any quadratic equation
·   Using given conditions to write a quadratic equation
·   Solution of systems of equations
·   Quadratic inequalities

·   Relations
·   Functions
·   Function notation
·   Types of functions
·   Special relations and functions
·   Composition of functions
·   Inverse functions under composition

·   Laws of exponents
·   Exponents that are not positive
·   Scientific notation on the calculator
·   Fractional exponents
·   Exponential functions
·   Equations with fractional or negative exponents
·   Exponential equations

·   Exponential functions and their inverses
·   Logarithmic form of an equation
·   Common logarithms on the calculator
·   Antilogarithms on the calculator
·   Applying the product rule
·   Applying the quotient rule
·   Applying the power rule
·   Exponential equations

·   Arcs and angles
·   Arcs and chords
·   Inscribed angles and their measures
·   Tangents and secants
·   Angles formed by tangents, chords, and secants
·   Measures of chords, tangent segments, secant segment

·   The right triangle
·   Angles as rotations
·   Function values of special angels
·   Quadrantal angles and the unit circle
·   Trigonometric functions involving angle
 measures to the nearest minute and the
 nearest degree on the calculator
·   Finding reference angles
·   Finding the remaining trigonometric function
 values of any angle when one function value is known
·   Cofunctions
·   Radian measure
·   Trigonometric functions involving radian measure
·   The reciprocal trigonometric functions
·   The Pythagorean identities

·   Quizzes
·   Unit test

·   Graph of y = sin x
·   Graph of y = cos x
·   Amplitude
·   period and frequency
·   Sketching sine and cosine curves
·   Graph of y = tan x
·   Reflection over the line y = x (sin, cos, and tan)
Inverse trigonometric functions (sin, cos, and tan)

·   The Law of Cosines
·   Using the Law of Cosines to find angle measure
·   Area of a triangle
·   The Law of Sines
·   The ambiguous case
·   Forces
·   Solving triangles

·   Basic trigonometric identities
·   Proving trigonometric identities
·   First-degree trigonometric equations
·   Second-degree trigonometric equations
·   Equations involving more than one function
·   Cosine of the difference of two angle measures
·   Cosine of the sum of two angle measures
·   Sine of the sum or difference of angle measures
·   Tangent of the sum or difference of angle
 measures
·   Function values of double angles
·   Function values of half angles
·   Equations involving double angles

·   The summation symbol
·   Measures of central tendency
·   Measures of dispersion: the range
·   The standard deviation
·   Grouped data
·   Normal distribution

·   Permutations, combinations, probability
 (Review)
·   Probability with two outcomes
·   At least and at most
·   The binomial theorem
 

·   Review
·   Transformations of the plane as functions
·   Compositions and symmetries
·   More compositions with transformations
·   Isometries, orientation and other properties