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Grade 12
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Functions and graphs
Analysing a cubic graph
Features of logarithmic functions
Features of the straight line, hyperbola, parabola and their inverses
Functions and relations
Logarithmic functions and logarithms
Logarithmic laws and manipulation
Sketching logarithmic functions
Number patterns, sequences and series
Arithmetic sequences
Arithmetic series
Geometric sequences
Geometric series
Mixed patterns
Finance, growth and decay
A revision of compound interest
A revision of simple interest
Future value of an annuity and sinking funds
Investment and loan options
Present value of an annuity and outstanding balance
Timelines
Algebra
Solving cubic equations
Solving inequalities
The factor and remainder theorems
Differential calculus
Applications of the derivative
Applying differential calculus - Maximisation and minimisation
Differentiation - By first principles
Differentiation - Finding derivatives
Finding derivatives (1)
Finding derivatives (2)
Limits
Sketching curves using calculus
Counting and probability
Concepts and identities
Factorial notation
Fundamental counting principle
Probability problems using Venn diagrams
Probability problems using contingency tables
Solving counting problems
Euclidean geometry
Line parallel to one side of triangle
Midpoint theorem
Problems involving quadrilaterals
Problems involving triangles
Pythagorean theorem
Revision of circle geometry
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Analytical geometry
Circle geometry
The equation a tangent and a normal to a circle
The equation of a circle
Trigonometry
Compound and double angles
Compound angle and double angle identities
Finding where identities are invalid
Proving identities that involve double angles
Proving trigonometric identities and solving trigonometric equations
Solving trig equations
Solving trig problems in 3-D (1)
Solving trig problems in 3-D (2)
Statistics
A revision of key concepts in data handling
Curve fitting, predictions with models and correlation
Mock exam
Mock exams for Paper 1 and Paper 2
Test video lesson
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Assignment 2
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