Number Systems 
Introduction 
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 
Polynomials 
Introduction 
Polynomials in One Variable 
Zeroes of a Polynomial 
Remainder Theorem 
Factorisation of Polynomials 
Algebraic Identities 
Coordinate Geometry 
Introduction 
Cartesian System 
Plotting a Point in the Plane if its Coordinates are given 
Linear equation in two variables 
Introduction 
Linear Equations 
Solution of a Linear Equation 
Graph of a Linear Equation in Two Variables 
Equations of Lines Parallel to xaxis and yaxis 
Introduction to Euclid’s Geometry 
Introduction 
Euclid’s Definitions, Axioms and Postulates 
Equivalent Versions of Euclid’s Fifth Postulate 
Lines and Angles 
Introduction 
Basic Terms and Definitions 
Intersecting Lines and Nonintersecting Lines 
Pairs of Angles 
Parallel Lines and a Transversal 
Lines Parallel to the same Line 
Angle Sum Property of a Triangle 
Triangles 
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 
Quadrilaterals 
Introduction 
Angle Sum Property of a Quadrilateral 
Types of Quadrilaterals 
Properties of a Parallelogram 
Another Condition for a Quadrilteral to be a Parallelogram 
The Midpoint Theorem 
Area of parallelogram and Triangles 
Introduction 
Figures on the same Base and Between the same Parallels 
Parallelogramms on the same Base and between the same Parallels 
Triangles on the same Base and between the same Parallels 
Circle 
Introduction 
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 
Constructions 
Introduction 
Basic Constructions 
Some Constructions of Triangles 
Heron’s Formula 
Introduction 
Area of a Triangle – by Heron’s Formula 
Application of Heron’s Formula in finding Areas of Quadrilaterals 
Surface Areas and Volumes 
Introduction 
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 
Statistics 
Introduction 
Collection of Data 
Presentation of Data 
Geographical Representation of Data 
Measures of Central Tendency 
Probability 
Introduction 
Probability – an Experimental Approach 
