Page 6 - Mathematics Class - X

CONTENTS

Learn Me Everyday 6

Conversions 7
Useful Mathematical Symbols 7

ACTIVITIES

UNIT - 1: Number System

1.1. To represent the square root of a natural number, 32 on a number line using graph paper. 9

UNIT - 2: Algebra

2.1. To draw the graph of a quadratic polynomial and observe: 13

(i) The shape of the curve when the coefficient of x is positive.
2
(ii) The shape of the curve when the coefficient of x is negative.
2
(iii) Its number of zeroes.

2.2. To verify the conditions of consistency/inconsistency for a pair of linear equations in two variables 16
by graphical method.

2.3. To obtain the solution of a quadratic equation (x + 4x = 60) by completing the square geometrically. 20
2
2.4. To identify arithmetic progressions in some given lists of numbers (patterns). 23

2.5. To find the sum of first n natural numbers. 26

2.6. To find the sum of first n odd natural numbers. 29

2.7. To find the sum of first n even natural numbers. 32

2.8. To establish a formula for the sum of first n terms of an Arithmetic Progression. 35

UNIT - 3: Coordinate Geometry

3.1. To verify the distance formula by graphical method. 40

3.2. To verify section formula by graphical method. 43