Arithmetic and geometry are two of the seven traditional liberal arts. They discern the numerical and spatial orders of the universe.

This maths course is pitched at upper high school level.

Term 1 – Arithmetic & Algebra

  • Basic arithmetic (percentages, fractions, powers and roots, scientific notation, order of operations)
  • Algebra (substitution, binomial products, formulae, operations with surds)
  • Equations (linear equations, equations resulting from substitution, absolute values, quadratic equations, simultaneous equations, inequalities)
  • Factorisation (common factors, the difference of two squares, grouping, solving quadratic trinomials, manipulating algebraic fractions)

Term 2 – Geometry

  • Basic geometry (points, lines and figures, angles, parallel lines, angle sums of polygons, congruent triangles, special triangles, similar triangles, Pythagoras’ theorem)
  • Special quadrilaterals (definitions and properties of special quadrilaterals, intercepts made by parallel lines, the area of special quadrilaterals and triangles)
  • Trigonometry (ratios, bearings, angles of elevation and depression, the exact ratios, angles of any magnitude, graphs of trigonometrical functions, relations between trigonometrical ratios)

Term 3 – Functions

  • Functions (notation of functions, domain and range, graphs of functions, the algebraic representation of geometrical properties and regions on a plane)
  • Sine and Cosine rules, areas of triangles
  • Linear functions (gradient, point gradient formula, two point formula, intercept formula, parallel and perpendicular lines, line through the intersection of two lines, the distance formula, the mid point, the perpendicular distance from a point to a line)

Term 4 – Calculus, Probability & Practical Mathematics

  • Calculus (gradient function, rules of differentiation, tangents and normal, maximum and minimum turning points, curve sketching, derivatives from products, quotients, function of a function and the index of a function)
  • Probability (equally likely outcomes, set notation, range of probability, ways of counting n(s) and n(e), bias, probability trees, complimentary events and non mutually exclusive events)
  • Practical mathematics (simple and compound interest, tax and superannuation)