# YEAR 12 MATHEMATICS

## 1.1 Social Mathematics

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 completing square

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

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 Hyperbolic

Linear and Circles

## 4.1 Coordinate Geometry

Equation of a Line

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

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