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. QUADRILATERALS

  • 8.1 Introduction
  • 8.2 Angle Sum Property of a Quadrilateral
  • 8.3 Types of Quadrilaterals
  • 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
  • 10.8 Cyclic Quadrilaterals
  • 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