Week 1
Lesson 1
Factoring and Solving Polynomials
Factoring techniques for binomials, trinomials, and four-term polynomials and how to solve polynomials with and without factoring.
Lesson 2
Operations with Complex Numbers
The imaginary number i, and operations on expressions containing i called the complex numbers.
 Week 2
Lesson 3
Systems of Equations
Solving linear systems of two equations and three equations as well as solving nonlinear systems of equations using algebraic techniques.
Lesson 4
Exponential and Logarithmic Equations
Solving exponential equations with and without logarithms and solving logarithmic equations with exponents.
 Week 3
Lesson 5
Analyzing Function Graphs
Identifying domain from equations as well as graphs. Analyzing the behavior of a graph including increasing decreasing intervals, intercepts, and extrema.
Lesson 6
Transformations of Parent Functions
The common parent functions: linear, quadratic, cubic, square root, cube root, exponential, logarithmic and how transformations affect the graph.
 Week 4
Lesson 7
Trigonometric Graphs
Graphing sine, cosine, and tangent with amplitude, period, phase shift, and midline.
Lesson 8
Trigonometric Equations and Identities
Solving right triangles using trigonometry, solving trigonometric equations, and using trigonometric identities to simplify expressions.
 Week 5
Lesson 9
Circles and Completing the Square
Writing and graphing circles in standard form. Using complete the square methods to find the standard form of a circle. If time permits, parabolas will be included here.
Lesson 10
Rational Functions and Asymptotes
Identifying the key features of a rational function including intercepts, vertical asymptotes, and horizontal asymptotes and using the features to sketch a graph.