LESSONS	CONTENTS – CAPS
Lesson 1& 2	Topic: Module 1 –  Numbers and Fundamental Concepts
	Types of numbers:
	Natural/counting/integers/rational/irrational/real/imaginary numbers
	Representation of the number system
	Algebraic Expressions/Fractions/Equations:
	Non-standard number patterns:
Lesson 3	Topic: Module 2 –  Exponents and Surds
	Exponents:
	Law of exponents/rational exponents
	Surds:
Lesson 4 &5	Topic: Module 3 –  Algebraic Expressions, Equations & Inequalities
	Quadratic expression:
	Factorisation/completing the square
	Quadratic equations:
	Solution by factors/completion of square/formula
	Nature of roots
	Quadratic inequalities:
	Simultaneous equations:
Lesson 6 &7	Topic: Module 4 –  Number Patterns
	What are number patterns:
	Horizontal pattern
	Relating position of term to value:
	Vertical pattern
	General term sequence
	Standard/ related  sequences- finding the rule
	Linear sequence- finding the rule
	Quadratic sequence – finding the rule
	Non-standard patterns
Lesson 7,8 & 9	Topic: Module 5 –  Analytical Geometry
	How to approach Analytical Geometry:
	Acquiring general Maths knowledge
	Inclination of a line
	Gradient of a line – values/applications
	Straight line graphs and equations
	Standard forms/non-standard forms/general form of equaltions
	Polygons in Analytical Geometry
Lesson 10,11 & 12	Topic: Module 6a –  Functions and Graphs
	Graphs in general:
	Basic facts/parameters/features/interpretations/straight line/gradient
	The parabola
	Equations/ interpretation
	The hyperbola
	Equations
	Exponential graphs
	Equations/parameters/domain/range of algebraic functions
Lesson 13 & 14	Topic: Module 6b –  Trigonometric Graphs
	Point by point plotting
	The parameters
Lessons 15,16 & 17	Topic: Module 7 –  Trigonometry Part1 – General
	Introduction:
	Fundamental Concepts and facts
	Right angled triangles/numbers/cartesian plane/angles/misconceptions
	Trigonometry Right angled triangles
	Identities/complementary/co-ratios/values/sketches/expressions/proofs/equations
	Trigonometry angles  0 degrees to 360 degrees
	Standard position/4 quadrants/definitions/quadrants/graphs/formulae
	Trigonometric unlimited- all angles
	Genera form/equations/variations/
	Energy  and chemical change:
	Energy changes
	Exothermic and endothermic
	Activation energy
	Trigonometry summary/revision
Lesson 18	Topic: Module 8 –  Measurement
	Pyramids and Cones:
	Spheres and hemispheres
Lesson 19	Topic: Module 9a –  Geometry Revisions from earlier grades
	Lines/angles/triangles:
	Quadrilaterals – definitions/area/properties
Lesson 20,21 & 22	Topic: Module 9b –  Circle Geometry
	Terminology
	Exercises and examples
	Proving a quadrilateral is circlic
	Proving a tangent line to a circle
	Problem solving
Lesson 23,24,25 & 26	Topic: Module 10 –  Trigonometry Part 2 – area, sine, cosine rules
	Calculating area of triangle:
	Calculating sides/angles of triangle:
	Right angled triangles/ non-right angled triangles
	Applications of the rules:
Lesson 27,28 & 29	Topic: Module 11 –  Finance, Growth, Decay
	Simple  and compound growth and decay:
	Different Periods of compound growth and decay
	Timelines
	Nominal and Effective Interest Rates
Lesson 30 & 31	Topic: Module 12 –  Probability
	Introduction to probabilities /values/sums/terminology/symbols
	Venn Diagrams – intersections/unions/complementary/mutuals
	Independent events/Not independent events
	Contingency Tables
Lesson 32, 33 & 34	Topics:   Module 13: – Statistics
	Understanding statistics/terminology/formulae/measures central tendency/dispersion
	Diagrams
	Variance and standard deviation
	Symmetric and skewed data
	Identification of outliers
Lesson 35+ more	Topics:   Revisions and Past Exams Papers