CLASS 9TH MATHS FULL COURSE

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 

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 

COORDINATE GEOMETRY 

3.1 Introduction 

3.2 Cartesian System 

3.3 Plotting a Point in the Plane if its Coordinates are given 61 

3.4 Summary 

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 

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 

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 

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 

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 Quadrilateral to be a Parallelogram 

8.6 The Mid-point Theorem 

8.7 Summary 

AREAS OF PARALLELOGRAMS AND TRIANGLES 

9.1 Introduction 

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 

9.5 Summary 

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 

CONSTRUCTIONS 

11.1 Introduction 

11.2 Basic Constructions 

11.3 Some Constructions of Triangles 

11.4 Summary 196 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 203 

12.4 Summary 

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 

10.10 Summary 

STATISTICS 

14.1 Introduction 

14.2 Collection of Data 

14.3 Presentation of Data 

14.4 Graphical Representation of Data 

14.5 Measures of Central Tendency 

14.6 Summary 

PROBABILITY 

15.1 Introduction 

15.2 Probability – an Experimental Approach 

15.3 Summary