YEAR 12 MATHEMATICS
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1.1 Social Mathematics
Buying on Credit
Credit Card and Debit Card
Benefits of Early Repayment
1.2 Modular System and Group
Modulo Arithmetic
Group – Part2
Modulo Table
Group – Part 1
1.3 Indices
Laws of Indices
Solving Equations
Simplifying using Indices
Surds
Introduction to Logarithms
Rationalize the Denominator
2.1 Equations
Linear Equations – Part 1
Linear Equations – Part 2
Linear Equations – Part 3
Inequations
Subject of the formula
Difference of two squares
Quadratics Expressions – Factorizing when a=1
Factorizing by grouping
Quadratics Expressions – Factorizing when a≠1
Solving Quadratic Equations: By factoring
Solving Quadratic Equations: By completing square
Solving Quadratic Equations: By quadratic formula
Quadratic Inequalities
Discriminant
Nature of Roots
Algebraic expressions
2.2 Remainder and Factor Theorem
Long Division of Polynomials
Remainder Theorem
Factor Theorem
2.3 Sequence and Series Application
Sigma Notation
Sequence defined Recursively
Arithmetic Sequence: Finding nth term
Arithmetic Sequence: Sum of the nth term
Geometric Sequence: Finding nth term
Geometric Sequence: Sum of the nth term
Sum to Infinity
3.1 Graphs
Relation and Functions
Linear graphs
Quadratics and Turning Point
Cubic Equations
Hyperbolic Graphs
Absolute Value Graph
Square Root Graph
Logarithmic and Exponential
Graphing circle from its standard equation
Graphing circle from feature
3.2 Simultaneous Equations
Applications
Linear and Quadratic
Linear and Hyperbolic
Linear and Circles
4.1 Coordinate Geometry
Gradient/Distance/Midpoint
Equation of a Line
Angle and gradient
Parallel Lines
Perpendicular Lines
Collinear Points
5.1 Non Right Angle Triangles
Pythagoras Theorem
SOH/CAH/TOA
Sine and Cosine Rule
Exact Values
Area of Triangle
Conversion of Angles
Arc Length/Area of
Sector/Segments
Trigonometric Equations
6.1 Matrix Transformation
Transforming Points
Finding transformation
Invariant Properties
Determinant and Area
Transformation Matrix and its Inverse
Combined Transformations
7.1 Statistical Analysis
Introduction
Measures of Centre
Measures of Spread: ungrouped
Measures of Spread: grouped
Measures of Spread: quartile
Adding by a constant
Multiplying by a Constant
Interpreting Information
8.1 Probability Experiments
Introduction
Probability Trees
With Replacement
Lattice Diagram
Without Replacement
Venn Diagrams
Expected Number
8.2 Normal Distribution
Characteristics
Terms
Standardizing
Tables & applications
9.1 Limits
Definition of Limits
Calculation of Limits
9.2 Differentiation
Derivative Definition
Power Rule
Fractional Indices
Negative Indices
Higher derivatives
Applications
9.3 Integration
Indefinite Integral
Constant of Integration
Definite Integral
Applications