1. NUMBER SYSTEMS

• 1.1 Introduction
• 1.2 Irrational Numbers
• 1.3 Real Numbers and their Decimal Expansions
• 1.4 Representing Real Numbers on the Number Line
• 1.5 Operations on Real Numbers
• 1.6 Laws of Exponents for Real Numbers
• 1.7 Summary

2 POLYNOMIALS

• 2.1 Introduction
• 2.2 Polynomials in One Variable
• 2.3 Zeroes of a Polynomial
• 2.4 Remainder Theorem
• 2.5 Factorisation of Polynomials
• 2.6 Algebraic Identities
• 2.7 Summary

3. COORDINATE GEOMETRY

• 3.1 Introduction
• 3.2 Cartesian System
• 3.3 Plotting a Point in the Plane if its Coordinates are given
• 3.4 Summary

4. LINEAR EQUATIONS IN TWO VARIABLES

• 4.1 Introduction
• 4.2 Linear Equations
• 4.3 Solution of a Linear Equation
• 4.4 Graph of a Linear Equation in Two Variables
• 4.5 Equations of Lines Parallel to x-axis and y-axis
• 4.6 Summary

5. INTRODUCTION TO EUCLID’S GEOMETRY

• 5.1 Introduction
• 5.2 Euclid’s Definitions, Axioms and Postulates
• 5.3 Equivalent Versions of Euclid’s Fifth Postulate
• 5.4 Summary

6. LINES AND ANGLES

• 6.1 Introduction
• 6.2 Basic Terms and Definitions
• 6.3 Intersecting Lines and Non-intersecting Lines
• 6.4 Pairs of Angles
• 6.5 Parallel Lines and a Transversal
• 6.6 Lines Parallel to the same Line
• 6.7 Angle Sum Property of a Triangle
• 6.8 Summary

7. TRIANGLES

• 7.1 Introduction
• 7.2 Congruence of Triangles
• 7.3 Criteria for Congruence of Triangles
• 7.4 Some Properties of a Triangle
• 7.5 Some More Criteria for Congruence of Triangles
• 7.6 Inequalities in a Triangle
• 7.7 Summary

• 8.1 Introduction
• 8.2 Angle Sum Property of a Quadrilateral
• 8.4 Properties of a Parallelogram
• 8.5 Another Condition for a Quadrilteral to be a Parallelogram
• 8.6 The Mid-point Theorem
• 8.7 Summary

9. AREAS OF PARALLELOGRAMS AND TRIANGLES

• 9.1 Introduction
• 9.2 Figures on the same Base and Between the same Parallels
• 9.3 Parallelogramms on the same Base and
• between the same Parallels
• 9.4 Triangles on the same Base and between
• the same Parallels
• 9.5 Summary

10 CIRCLES

• 10.1 Introduction
• 10.2 Circles and its Related Terms : A Review
• 10.3 Angle Subtended by a Chord at a Point
• 10.4 Perpendicular from the Centre to a Chord
• 10.5 Circle through Three Points
• 10.6 Equal Chords and their Distances from the Centre
• 10.7 Angle Subtended by an Arc of a Circle
• 10.9 Summary

11. CONSTRUCTIONS

• 11.1 Introduction
• 11.2 Basic Constructions
• 11.3 Some Constructions of Triangles
• 11.4 Summary

12. HERON’S FORMULA

• 12.1 Introduction
• 12.2 Area of a Triangle – by Heron’s Formula
• 12.3 Application of Heron’s Formula in finding Areas of Quadrilaterals
• 12.4 Summary

13.  SURFACE AREAS AND VOLUMES

• 13.1 Introduction
• 13.2 Surface Area of a Cuboid and a Cube
• 13.3 Surface Area of a Right Circular Cylinder
• 13.4 Surface Area of a Right Circular Cone
• 13.5 Surface Area of a Sphere
• 13.6 Volume of a Cuboid
• 13.7 Volume of a Cylinder
• 13.8 Volume of a Right Circular Cone
• 13.9 Volume of a Sphere
• 13.10 Summary

14. STATISTICS

• 14.1 Introduction
• 14.2 Collection of Data
• 14.3 Presentation of Data
• 14.4 Geographical Representation of Data
• 14.5 Measures of Central Tendency
• 14.6 Summary

15. PROBABILITY

• 15.1 Introduction
• 15.2 Probability – an Experimental Approach
• 15.3 Summary

APPENDIX – 1 PROOFS IN MATHEMATICS

• A1.1 Introduction
• A1.2 Mathematically Acceptable Statements
• A1.3 Deductive Reasoning
• A1.4 Theorems, Conjectures and Axioms
• A1.5 What is a Mathematical Proof?
• A1.6 Summary

APPENDIX – 2 INTRODUCTION TO MATHEMATICAL MODELLING

• A2.1 Introduction
• A2.2 Review of Word Problems
• A2.3 Some Mathematical Models
• A2.4 The Process of Modelling, its Advantages and Limitations
• A2.5 Summary