UNIT	SKILLS	TYPE OF ASSESSMENT USED	
Rational Expressions	•	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	•	Quizzes 
•	Unit test	
The Irrational Numbers and the Real Numbers	•	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	•	Quizzes
•	Unit test	
The Complex Numbers	•	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	•	Quizzes
•	Unit test	
Relations and Functions	•	Relations
•	Functions
•	Function notation
•	Types of functions
•	Special relations and functions
•	Composition of functions
•	Inverse functions under composition	•	Quizzes
•	Unit test	
Exponential Functions	•	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	•	Quizzes
•	Unit test	
Logarithmic Functions	•	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	•	Quizzes
•	Unit test	
Geometry of the Circle	•	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	•	Quizzes
•	Unit test	
Trigonometric Functions	•	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	
Algebra of Trig Functions		•	Quizzes
•	Unit test	
Trigonometric Graphs	•	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)	•	Quizzes
•	Unit test	
Trigonometric Applications	•	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	•	Quizzes
•	Unit test	
Trigonometric Equations and Identities	•	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	•	Quizzes
•	Unit test	
Statistics	•	The summation symbol
•	Measures of central tendency
•	Measures of dispersion:  the range
•	The standard deviation
•	Grouped data
•	Normal distribution	•	Quizzes
•	Unit test	
Probability and the Binomial Theorem	•	Permutations, combinations, probability
	(Review)
•	Probability with two outcomes
•	At least and at most
•	The binomial theorem
	•	Quizzes
•	Unit test	
Functions and Transformation Geometry	•	Review
•	Transformations of the plane as functions
•	Compositions and symmetries
•	More compositions with transformations
•	Isometries, orientation and other properties	•	Quizzes
•	Unit test