Viva Mathematics Lab Manual, Class 10

Contents:

Activity 1. Linear Equations • To obtain the conditions for consistency of a system of linear equation in two variables by graphical method

Activity 2. Arithmetic Progression I • To verify that the given sequence is an Arithmetic Progression by paper cutting and pasting method

Activity 3. Arithmetic Progression II • To find the formula for the nth term of an Arithmetic Progression (A.P.)

Activity 4. Sum of n Terms of an A.P. • To find the sum of first n terms of an arithmetic progression (A.P.)

Activity 5. Sum of the First n Natural Numbers  • To verify that the sum of the first n natural numbers is n(n+1)/2, by graphical method i.e., Sn = n(n+1)/2

Activity 6. Sum of First n Odd Natural Numbers • To verify through an activity that the sum of first n odd natural numbers is n², i.e., 1 + 3 + 5 + ... + (2n • 1) = n²

Activity 7. Basic Proportionality Theorem • To verify Basic Proportionality Theorem using parallel line board and triangle cut-outs

Activity 8. Similar Triangles • To verify that the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides

Activity 9. Pythagoras Theorem • To verify the Pythagoras Theorem by the method of paper folding, cutting and pasting

Activity 10. Tangent to a Circle • To construct a tangent to a circle at a point on it when the centre of circle is given using paper cutting and paper folding

Activity 11. Angles Subtended by an Arc • To verify that angle subtended by an arc at the centre of a circle is twice the angle subtended by the same arc at any other point on the remaining part of the circle, using paper cutting, pasting and folding

Activity 12. Lengths of Tangents • To verify that the lengths of tangents from an external point to a circle are equal

Activity 13. Area of a Circle • To obtain the area of a circle i.e., pr² by paper cutting and pasting method

Activity 14. Right Circular Cylinder • To to obtain the formula for the lateral surface area and total surface area in terms of radius (r) of its base and height (h)

Activity 15. Volume of Cylinder • To give suggestive demonstration of the formula for the volume of right circular cylinder in terms of r (radius) and h (height)

Activity 16. Right Circular Cone • To obtain the formula for the lateral surface area and total surface area of a right circular cone by using paper cutting and paper folding

Activity 17. Volume of Cone • To obtain the formula for the volume of a right circular cone with the help of an activity

Activity 18. Sphere • To obtain the formula for the surface area of a sphere in terms of its radius

Activity 19. Volume of Sphere • To obtain the formula for the volume of a sphere in terms of its radius with the help of an activity

Activity 20. Clinometer • To make a Clinometer and use it to measure the height of an object (Tree here)

Activity 21. Probability • To find the probability of different sums obtained on numbers on two dice, when they are rolled once

Project 1. Mathematical Terms and Crossword Puzzles • To design a crossword puzzle using mathematical terms. This is to check whether students are familiar with general mathematical terms and concepts or not

Project 2. Pythagorean Triplets • How to create Pythagorean Triplets

Project 3. Geometry in Real Life • In this project, we will try to find situations in daily life, where geometrical concepts can be effectively used. In the following situations student will understand the problem and compare it with geometrical concept learnt in classroom

Project 4. Displacement and Rotation of a Geometrical Figure • To study the distance between different points of a geometrical figure when it displaced and/or rotated. This project will enhance the familiarity of students with Coordinate Geometry

Project 5. Experiment on Probability • To observe that the probability through a random experiment is different from finding probability by calculation. The students may realise and understand the fact that with the increase of sample size (number of observations), the two probabilities approach each other. Probability means just an assumptions or chances of happening an event

Group Activity 1. Fourth Order Magic Dance • The interplay of Mathematics and art is very interesting. Here is an attempt to present a versatile form of 4 ?? 4 i.e., (Fourth order) magic square of Magic Constant 34 through dance and music

Group Activity 2. Educational Background of Community Around the School • A group of students collects the data on the educational background of 20 households in and around the school

Group Activity 3. Probability? Through this group activity, the basic concepts of probability are illustrated

Important Terms and Definitions

Formulae/Identities

About the Author:

Ajay Kumar, Head, Department of Mathematics, St. Mary's School, Dwarka (New Delhi).