A.11 Verify the Binomial Theorem by mathematical induction or by a combinatorial argument.
A.12 Know and apply the Binomial Theorem for the expansion of (x + y)n in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascal's Triangle.
A.19 Simplify complex algebraic fractions (with/without variable expressions and integer exponents) to include expressing f(x + h) – f(x)/h as a single simplified fraction when f(x) = 1/1 – x for example.
F.D Extend the domain of trigonometric functions using the unit circle
F.30 Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for π–x, π+x, and 2π–x in terms of their values for x, where x is any real number.
G.38 Describe the attributes of graphs and the general equations of parent functions (linear, quadratic, cubic, absolute value, rational, exponential, logarithmic, square root, cube root, and greatest integer).
G.39 Explain the effects of changing the parameters in transformations of functions.