Mathematics
Relations and Functions
- Introduction
- Ordered Pair
- Cartesian Product
- Relations
- Functions
- Representation of Functions
- Types of Functions
- Special Cases of Functions
- Composition of Functions
- Identifying the Graphs of Linear, Quadratic, Cubic and Reciprocal Functions
Numbers and Sequences
- Introduction
- Euclid’s Division Lemma
- Euclid’s Division Algorithm
- Fundamental Theorem of Arithmetic
- Modular Arithmetic
- Sequences
- Arithmetic Progression
- Series
- Geometric Progression
- Sum to n terms of a Geometric Progression
- Special Series
Algebra
- Introduction
- Simultaneous Linear Equations in Three Variables
- GCD and LCM of Polynomials
- Rational Expressions
- Square Root of Polynomials
- Quadratic Equations
- Graph of Variations
- Quadratic Graphs
- Matrices
Geometry
- Introduction
- Similarity
- Thales Theorem and Angle Bisector Theorem
- Pythagoras Theorem
- Circles and Tangents
- Concurrency Theorems
Coordinate Geometry
- Introduction
- Area of a Triangle
- Area of a Quadrilateral
- Inclination of a Line
- Straight Line
- General Form of a Straight Line
- Trigonometry
Trigonometry
- Introduction
- Trigonometric Identities
- Heights and Distances
Mensuration
- Introduction
- Surface Area
- Volume
- Volume and Surface Area of Combined Solids
- Conversion of Solids from one Shape to another with no change in Volume
Statistics and Probability
- Introduction
- Measures of Dispersion
- Coefficient of Variation
- Probability
- Algebra of Events
- Addition Theorem of Probability
