Introduction to Number Systems

Irrational Numbers

Real Numbers and Their Decimal Expansions

Representing Real Numbers on the Number Line

Operations on Real Numbers

Laws of Exponents for Real Numbers

Introduction to Polynomials

Polynomials in One Variable

Zeros of a Polynomial

Remainder Theorem

Factorisation of Polynomials

Algebraic Identities

Introduction to Coordinate Geometry

Cartesian System

Plotting a Point in the Plane if its Coordinates are given

Introduction to Linear Equations in Two Variables

Linear Equations

Solution of a Linear Equation

Graph of a Linear Equation in Two Variables

Equations of Lines Parallel to x-axis and y-axis

Introduction to Euclid’s Geometry

Euclid’s Definitions, Axioms and Postulates

Equivalent Versions of Euclid’s Fifth Postulate

Introduction to Lines and Angles

Basic Terms and Definitions

Intersecting Lines and Non-intersecting Lines

Pairs of Angles

Parallel Lines and a Transversal

Lines Parallel to the same Line

Angle Sum Property of a Triangle

Introduction

Congruence of Triangles

Criteria for Congruence of Triangles

Some Properties of a Triangle

Some More Criteria for Congruence of Triangles

Inequalities in a Triangle

Introduction to Quadrilaterals

Angle Sum Property of a Quadrilateral

Types of Quadrilaterals

Properties of a Parallelogram

Another Condition for a Quadrilateral to be a Parallelogram

The Mid-point Theorem

Introduction to Areas of Parallelograms and Triangles

Figures on the same Base and Between the same Parallels

Parallelograms on the same Base and between the same Parallels

Triangles on the same Base and between the same Parallels

Introduction to Circles

Circles and its Related Terms: A Review

Angle Subtended by a Chord at a Point

Perpendicular from the Centre to a Chord

Circle through Three Points

Equal Chords and their Distances from the Centre

Angle Subtended by an Arc of a Circle

Cyclic Quadrilaterals

Introduction to Constructions

Basic Constructions

Some Constructions of Triangles

Summary

Introduction to Heron’s Formula

Area of a Triangle – by Heron’s Formula

Application of Heron’s Formula in finding Areas of Quadrilaterals

Introduction to Surface Areas and Volumes

Surface Area of a Cuboid and a Cube

Surface Area of a Right Circular Cylinder

Surface Area of a Right Circular Cone

Surface Area of a Sphere

Volume of a Cuboid

Volume of a Cylinder

Volume of a Right Circular Cone

Volume of a Sphere

Introduction to Statistics

Collection of Data

Presentation of Data

Graphical Representation of Data

Measures of Central Tendency

Introduction to Probability

Probability – an Experimental Approach