SYLLABUS

Chapter 1: Number Systems

1.1 Introduction to Number Systems

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

Chapter 2: Polynomials

2.1 Introduction to Polynomials

2.2 Polynomials in One Variable

2.3 Zeros of a Polynomial

2.4 Remainder Theorem

2.5 Factorisation of Polynomials

2.6 Algebraic Identities

Chapter 3: Coordinate Geometry

3.1 Introduction to Coordinate Geometry

3.2 Cartesian System

3.3 Plotting a Point in the Plane if its Coordinates are given

Chapter 4: Linear Equations in Two Variables

4.1 Introduction to Linear Equations in Two Variables

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

Chapter 5: Euclid’s Geometry

5.1 Introduction to Euclid’s Geometry

5.2 Euclid’s Definitions, Axioms and Postulates

5.3 Equivalent Versions of Euclid’s Fifth Postulate

Chapter 6: Lines and Angles

6.1 Introduction to Lines and Angles

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

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 Inequalities in a Triangle

Chapter 8: Quadrilaterals

8.1 Introduction to Quadrilaterals

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 Quadrilateral to be a Parallelogram

8.6 The Mid-point Theorem

Chapter 9: Areas of Parallelograms and Triangles

9.1 Introduction to Areas of Parallelograms and Triangles

9.2 Figures on the same Base and Between the same Parallels

9.3 Parallelograms on the same Base and between the same Parallels

9.4 Triangles on the same Base and between the same Parallels

Chapter 10: Circles

10.1 Introduction to Circles

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

Chapter 11: Constructions

11.1 Introduction to Constructions

11.2 Basic Constructions

11.3 Some Constructions of Triangles

11.4 Summary

Chapter 12. Heron’s Formula

12.1 Introduction to Heron’s Formula

12.2 Area of a Triangle – by Heron’s Formula

12.3 Application of Heron’s Formula in finding Areas of Quadrilaterals

Chapter 13: Surface Areas and Volumes

13.1 Introduction to Surface Areas and Volumes

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

Chapter 14: Statistics

14.1 Introduction to Statistics

14.2 Collection of Data

14.3 Presentation of Data

14.4 Graphical Representation of Data

14.5 Measures of Central Tendency

Chapter 15: Probability

15.1 Introduction to Probability

15.2 Probability – an Experimental Approach