Click on the links to view learning objectives, resources, and notes on all levels of the syllabus.
Number
Types of number; ratio; fractions; decimals; percentages; indices; standard form; currency conversions; simple and compound interest.
Linear algebra and functions
Linear equations; functions; simultaneous equations; straight line graphs.
Quadratic algebra and graphing
Facto rising quadratics; the quadratic formula; graphs of quadratics; higher order graphs.
Trigonometry
Pythagoras; SOHCATOA; bearings; elevation and depression; graphs of trig functions; trigonometry of the non-right angled triangle.
Geometry
Exterior and interior angles of polygons; circle theories; congruent shapes; 3-d shapes (polyhedral).
Area and Volume
Area and volume of polygons and polyhedral; similar shapes.
Loci
Constructions with straight lines, pairs of compasses and protractors.
Probability and sets
Simple probabilities; complementary events; combined probabilities; sample spaces; tree diagrams.
Statistics
Averages (mean, mode, median); representing data (pie charts, bar charts, pictograms); cumulative frequency curves; histograms.
Matrices, vectors and transformations
Matrix addition, subtraction, multiplication by a scalar; multiplying 2x2 matrices; determinants and inverses of 2x2 matrices; reflections; rotations; translations; enlargements; shears; stretches; matrices for transformations; vector geometry; magnitude of vectors; vector movement.
Linear programming and inequalities
Solving linear inequalities; drawing linear inequalities; linear programming to solve problems.
Travel graphs
Distance-time graphs; speed (velocity)-time graphs. |