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Chapter 1:Number System

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1.1 Introduction 

1.2  Irrational Numbers

1.3 Real Numbers and their Decimal Expansions

1.4 Operations on Real Numbers

1.5 Laws of  Exponents for Real Numbers

1.6 Summary  

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Chapter 2: POLYNOMIALS 

2.1 Introduction

2.2 Polynomials in One Variable 

2.3 Zeroes of a Polynomial

2.4 Factorisation of Polynomials

2.5 Algebraic Identities 

2.6 Summary

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Chapter 3: COORDINATE GEOMETRY 

3.1 Introduction 

3.2 Cartesian System 

3.3 Summary 

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Chapter 4: LINEAR EQUATIONS IN TWO VARIABLES 55

4.1 Introduction 

4.2 Linear Equations 

4.3 Solution of a Linear Equation 

4.4 Summary 

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Chapter 5: INTRODUCTION TO EUCLID’S GEOMETRY 

5.1 Introduction 

5.2 Euclid’s Definitions, Axioms and Postulates 

5.3 Summary

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Chapter 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 Lines Parallel to the Same Line 

6.6 Summary

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Chapter 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 Summary

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Chapter 8: . QUADRILATERALS 

8.1 Properties of a Parallelogram 

8.2 The Mid-point Theorem 

8.3 Summary

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Chapter 9: CIRCLES 

9.1 Angle Subtended by a Chord at a Point 

9.2 Perpendicular from the Centre to a Chord 

9.3 Equal Chords and their Distances from the Centre 

9.4 Angle Subtended by an Arc of a Circle 

9.5 Cyclic Quadrilaterals 

9.6 Summary

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Chapter 10: HERON’S FORMULA

10.1 Area of a Triangle – by Heron’s Formula

10.2 Summary

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Chapter 11: SURFACE AREAS AND VOLUMES 

11.1 Surface Area of a Right Circular Cone 

11.2 Surface Area of a Sphere

11.3 Volume of a Right Circular Cone

11.4 Volume of a Sphere 

11.5 Summary

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Chapter 12: STATISTICS 

12.1 Graphical Representation of Data 

12.2 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

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