Arithmetic operations

- Commutative law of addition
- Commutative law of multiplication
- Associative law of addition
- Associative law of multiplication
- Distributive property 1
- Distributive property 2
- FOIL
- Multiplying polynomials
- Difference of two squares
- Perfect squares
- Multiplying polynomials 2

Fractions

Factoring

- GCD: Greatest common denominator
- Common factor 1
- Common factor 2
- Monic quadratics
- Quadratic with common factor
- Trinomials with a non 1 leading coefficient by grouping
- Perfect square trinomials
- Difference of two squares

Polynomial long division

- Long division with integers (if you get lost try this one first)
- Polynomial division
- Algebraic long division

Solving equations

- Equations 1
- Equations 2
- Equations 3
- Equations 4
- Simple quadratic equation
- http://www.oercommons.org/courses/solving-equations/view gives questions and solutions to solving equations.

Completing the square

- Completing perfect square trinomials
- Completing the square to solve quadratic equations
- Completing the square

Quadratic formula

Binomial theorem

Lead into surds

Surds

- Simplifying surds (in the US they call the square root symbol the radical symbol and the call surds radicals)
- nth roots to exponents
- nth roots are equivalent to rational exponents
- Rationalising denominators of expressions
- Rationalising denominators with conjugates

Exponents

- Rational exponents and the exponent laws (index/power laws)
- More rational exponents and exponent laws

Inequalities

- Solving
- Quadratic inequalities
- Quadratic inequalities with a visual explanation
- Rational inequalities 1
- Rational inequalities 2

Interval notation

Absolute values