Distance between two points, midpoint of two points, and finding gradient using two points

Gradient-intercept form, point-gradient form, vertical lines, horizontal lines, standard form of a line

Parallel and perpendicular lines, intersection of 2 straight lines, solving a two-variable system of equations

Vertex, standard, and factored form, axis of symmetry, concavity, quadratic formula

Evaluating the discriminant, sum and product of roots, quadratic inequalities, quadratics of other forms

Domain and range of functions, function as a model, interval notation

Composing functions, inverse functions, graphing and evaluating inverse functions, computing inverses and domain restrictions

Exponents, properties of exponents, and solving exponential equations

Nth roots, fractional and rational exponents, conjugates.

Definition and evaluation of logarithms, properties of logs, e and the natural log, change of base rule

Graphing exponential functions, exponential growth and decay, logarithmic inverse functions.

Rounding, significant figures, decimal places

Introduction to the definition, properties, and general term of an arithmetic sequence

Introduction to definition, identification, and general term of geometric sequences

Definition of series, formula for arithmetic series

Summation notation, properties of sums

Working with sequences on a calculator, computations and applications of a calculator

Compound growth, depreciation, interest, inflation, real value

Theoretical introduction to n​Cr​, or (nr​), and Pascal's triangle.

Using nCr​ to expand binomials like (1+2x)7.

Introduction to the concept of proofs, proof by deduction, and proof with even and odd numbers.

Vertical and horizontal translations, dilations, reflecting over axes

Reciprocal functions, quadratic denominators, graphs of rational linear functions