₹525.00
Go to cartISBN: 9789389662504
Bind: Paperback
Year: 2020
Pages: 160
Size: 216 x 279 mm
Publisher: Viva Education
Exclusive Distributors: Viva Books
Sales Territory: Worldwide
Description:
Mathematics Laboratory is a place where students can learn and explore mathematical concepts and verify mathematical facts and theorems through a variety of activities using different materials. These activities may be carried out by the teacher or the students to explore, to learn, to stimulate interest and develop favourable attitude towards mathematics.
Salient Features:
Target Audience:
Students of CBSE Class 9.
Contents:
Activity 1. Square Root • To construct a square-root spiral that depicts square roots of natural numbers like v2,v3,v5, etc
Activity 2. Algebraic Identity I • To verify the identity (a + b)2 = a2 + 2 ab + b2 for simple cases using squaresand rectangles
Activity 3. Algebraic Identity II • To verify the identity a2 • b2 = (a + b) (a • b) geometrically
Activity 4. Algebraic Identity III • To verify the identity (a + b)3 = a3 + 3ab2 + 3a2b + b3 using a set of unit cubes
Activity 5. Algebraic Identity IV • To verify the identity (a • b)3 = a3 • 3a2b + 3ab2 • b3 using a set of unit cubes and cuboids
Activity 6 Algebraic Identity V • To verify the identity a3 + b3 = (a + b) (a2 • ab + b2) using a set of unit cubes and cuboids
Activity 7. Algebraic Identity VI • To verify the identity a3 • b3 = (a • b) (a2 + ab + b2) using a set of unit cubes and cuboids
Activity 8. Factorisation of Polynomials • To interpret geometrically the factors of a quadratic expression of the type x2 + bx + c using square grids, strips paper strips
Activity 9. Coordinate Geometry • To obtain the mirror image of a given geometrical figure with respect to x-axis and y-axis
Activity 10. Geoboard • To carry out the following activities using geoboard • To find the area of any triangle • To find the area of any polygon by completing the rectangles • To obtain a square on a given line segment • Given an area, to obtain different polygons of the same area
Activity 11. Area of Parallelogram • To show that the area of a parallelogram is the product of its base and height, using paper cutting and pasting
Activity 12. Area of Triangle • To show that the area of a triangle is half the product of the base and the height, using paper cutting and pasting
Activity 13. Area of Trapezium • To show that the area of a trapezium is equal to half the product of its altitude and the sum of its parallel sides, using paper cutting and pasting
Activity 14. Mid-Point Theorem • To verify the mid-point theorem for a triangle, using paper cutting and pasting
Activity 15. Triangle Inequality • To verify that • (a) The sum of any two sides of a triangle is always greater than the third side • (b) The difference of any two sides of a triangle is always less than the third side
Activity 16. Properties of Parallelogram • To verify the properties with respect to diagonals of the following quadrilaterals a square, a rectangle, a rhombus and parallelogram
Activity 17. Properties of Quadrilateral • To show that the figure obtained by joining the mid-points of the consecutive sides of any quadrilateral is a parallelogram
Activity 18. Centroid of Triangle • To illustrate that the medians of a triangle concur at a point (called the centroid) which always lies inside the triangle, using the method of paper folding
Activity 19. Incentre of Triangle • To illustrate that the internal bisectors of the angles of a triangle meets at a point (called the incentre), which always lies inside the triangle
Activity 20. Area of Circle • To verify that the area of a circle is half the product of its circumference and radius
Activity 21. Angle by an Arc • To verify that the 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 the method of paper cutting/folding
Activity 22. Cyclic Quadrilateral Theorem • To verify that in a cyclic quadrilateral • (a) The sum of either pair of opposite angles is 180?? • (b) The exterior angle is equal to the interior opposite angle, using the method of cutting, pasting and folding
Activity 23 Area of a Right Triangular Prism and a Pyramid • To make the net for a right triangular prism and a right triangular pyramid (regular tetrahedron) and obtain the formulae for the total surface area
Activity 24. Euler's Formula • To verify Euler's formula for different polyhedra: Prism, Pyramid and Octahedron
Project 1. Comparison • Comparison of the performance of two teams in a one-day international cricket match
Project 2. A Measuring Task • To investigate to your athletics track to see whether it is marked fairly for runners who start on different lines or not
Project 3. Data Collection • To find out the number of graduates (male and female) in each family having age 21 years to 30 years group
Project 4. Investigation of Pythagoras Theorem and p • To study various aspects of Pythagoras and his famous theorem, called Pythagoras Theorem • Investigation of various historical aspects of p
Group Activity 1. Percentage • To find the percentage of the students in a class who write faster with their right hand/left hand.
Group Activity 2. Measurement • To help the students establish interesting mathematical relationship by measuring some features of the body or body parts
Important Terms and Definitions
Formulae/Identities
About the Author:
Ajay Kumar, Head, Department of Mathematics, St. Mary's School, Dwarka (New Delhi).