- Convert between exponential and logarithmic form: rational bases
- Convert between natural exponential and logarithmic form
- Convert between exponential and logarithmic form: all bases
- Evaluate natural logarithms
- Change of base formula
- Evaluate logarithms using a calculator
- Identify properties of logarithms
- Product property of logarithms
- Power property of logarithms
- Properties of logarithms: mixed review
- Evaluate logarithms using properties
- Evaluate logarithms
- Quotient property of logarithms

- Add and subtract complex numbers
- Complex conjugates
- Divide complex numbers
- Powers of i
- Absolute values of complex numbers
- Multiply complex numbers
- Add, subtract, multiply, and divide complex numbers
- Introduction to complex numbers
- Evaluate expression when two complex numbers are given
- Evaluate expression when a complex numbers and a variable term is given
- Quadratic equation with complex roots
- Simplify the expression using imaginary number i

- Compound interest: word problems
- Evaluate exponential functions
- Solve exponential equations using common logarithms
- Solve exponential equations using natural logarithms
- Solve logarithmic equations I
- Solve logarithmic equations II
- Exponential functions over unit intervals
- Identify linear and exponential functions
- Exponential growth and decay: word problems
- Continuously compounded interest: word problems
- Describe linear and exponential growth and decay
- Solve exponential equations by rewriting the base
- Interpret the exponential function word problem
- Identify linear and exponential functions from word problem
- Finance problems

- Find properties of hyperbolas from equations in general form
- Find the center of a hyperbola
- Find the length of the transverse or conjugate axes of a hyperbola
- Convert equations of hyperbolas from general to standard form
- Write equations of hyperbolas in standard form using properties
- Find the foci of a hyperbola

- Find the focus or directrix of a parabola
- Convert equations of parabolas from general to vertex form
- Find properties of a parabola from equations in general form
- Find the vertex of a parabola
- Find the axis of symmetry of a parabola
- Identify the direction a parabola opens
- Write equations of parabolas in vertex form using properties

- Composition of linear functions: find an equation
- Add and subtract functions
- Multiply functions
- Divide functions
- Find inverse functions and relations
- Composition of linear and quadratic functions: find an equation
- Identify inverse functions
- Composition of linear functions: find a value
- Composition of linear and quadratic functions: find a value

- Solve a system of equations using substitution
- Is (x, y) a solution to the system of equations?
- Classify a system of equations
- Solve a system of equations using elimination
- Solve a system of equations using any method
- Solve a system of equations using any method: word problems
- Solve a system of equations in three variables using substitution
- Solve a system of equations in three variables using elimination
- Solve a system of linear and quadratic equations: parabolas
- Solve a system of linear and quadratic equations: circles
- Find the number of solutions to a system of equations
- Solve a system of equations using substitution: word problems
- Solve a system of equations using elimination: word problems
- Determine the number of solutions to a system of equations in three variables
- Solve system of equations: Complex word problems
- Solve a nonlinear system of equations

- Roots of integers
- Roots of rational numbers
- Find roots using a calculator
- Multiply radical expressions
- Simplify radical expressions involving fractions
- Simplify radical expressions using conjugates
- Solve radical equations
- Simplify radical expressions with variables II
- Simplify the product of two radical expressions having same variable
- Simplify radical expressions with root inside the root
- Simplify radical expressions using the distributive property
- Add and subtract radical expressions

- Solve trigonometric equations I
- Pythagorean Theorem and its converse
- Find trigonometric functions using a calculator
- Solve trigonometric equations II
- Find trigonometric ratios using the unit circle
- Inverses of sin, cos, and tan: degrees
- Csc, sec, and cot of special angles
- Inverses of csc, sec, and cot
- Sin, cos, and tan of special angles
- Solve complex trigonomentric equations
- Find Coordinate on Unit Circle
- Find trigonometric ratios using reference angles
- Inverses of sin, cos, and tan: radians

- Find the sum of an arithmetic series
- Find terms of an arithmetic sequence
- Find terms of a geometric sequence
- Classify formulas and sequences
- Sequences: mixed review
- Identify arithmetic and geometric series
- Partial sums of arithmetic series
- Partial sums: mixed review
- Convergent and divergent geometric series
- Find the value of an infinite geometric series
- Evaluate recursive formulas for sequences
- Write a formula for an arithmetic sequence
- Convert between explicit and recursive formulas
- Introduction to sigma notation
- Find the sum of a finite geometric series
- Partial sums of geometric series
- Evaluate explicit formulas for sequences
- Convert a recursive formula to an explicit formula
- Write a repeating decimal as a fraction
- Convert an explicit formula to a recursive formula
- Write a formula for a recursive sequence
- Introduction to partial sums
- Sum of finite series starts from 1
- Sum of finite series not start from 1
- Modeling with sequences

- Solve a quadratic equation by completing the square
- Write a quadratic function from its x-intercepts and another point
- Complete the square
- Solve a quadratic equation by factoring
- Write a quadratic function from its zeros
- Characteristics of quadratic functions: equations
- Transformations of quadratic functions
- Solve a quadratic equation using square roots
- Domain and range of quadratic functions: equations
- Interpret parts of quadratic expressions: word problems
- Write a quadratic function from its vertex and another point
- Using the discriminant
- Write a quadratic function in vertex form
- Solve a quadratic equation using the quadratic formula
- Solve a quadratic equation using the zero product property
- Find the vertex of the transformed function
- Solve quadratic equations: word problems
- Ratio and Quadratic equation

- Multiply polynomials
- Add, subtract, multiply, and divide polynomials
- Find the roots of factored polynomials
- Fundamental Theorem of Algebra
- Solve polynomial equations
- Write a polynomial from its roots
- Polynomial vocabulary
- Add and subtract polynomials
- Complex conjugate theorem
- Conjugate root theorems
- Descartes' Rule of Signs
- Binomial Theorem II
- Even and odd functions
- Divide polynomials using long division
- Rational root theorem