Advanced Math

Quadratics, exponentials, equivalent expressions and the function notation that ties them together.

• Equivalent expressions (nonlinear) An expression has many faces and all of them are true at once: x^2 - 9, (x+3)(x-3) and (x-1)^2 + 2x - 10 are the same object wearing different clothes. 12 questions · 3 worked examples
• Exponential functions A linear model asks how much is added each period; an exponential model asks what is it multiplied by. 12 questions · 3 worked examples · 3 figures
• Function notation and evaluation Nothing on this skill is hard arithmetic. 12 questions · 3 worked examples · 3 figures
• Nonlinear equations Once the variable is squared, rooted or sitting in a denominator, "do the same thing to both sides" stops being a plan. 12 questions · 3 worked examples · 1 figure
• Quadratic functions and graphs A quadratic function can be written three ways, and the three ways are not stylistic preferences — each one puts a different fact about the parabola in plain sight and hides the other two. 12 questions · 3 worked examples · 3 figures