Sahitya Bhawan CBSE class 10 mathematics Lab Manual with theory and Viva-voce questions as per syllabus
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|Series Title||Sahitya Bhawan | Pratiyotia Sahitya|
Sahitya Bhawan | Pratiyotia Sahitya lab manual class 10 Mathematics practical book has been prepared in accordance with the CBSE guidelines. These lab manuals provide better understanding of various concepts in a lucid manner. The entire matter is prepared in a way that it provides complete understanding of each topic. Viva-voce helps the students in having a better understanding of concepts.
Unit1 : number system
Activity 1 To find the HCF of two given numbers by Euclid’s Division Lemma.
Unit 2 : algebra
Activity 2 To verify experimentally that a quadratic polynomial can have at most two zeroes.
Activity 3 To find the conditions for consistency of a pair of linear equations in two variables
Activity 4 To verify the relation between roots and coefficients of a quadratic equation.
Activity 5 To find geometrically the solution of a quadratic equation ax2 + bx + c = 0, a ¹ 0 (where a = 1)
by using the method of completing the square.
Activity 6 To verify experimentally that a given sequence is an Arithmetic progression.
Activity 7 To find the sum of first n odd natural numbers.
Activity 8 To find the sum of first n terms of an arithmetic progression (A.P.).
Unit 3 : coordinate geometry
Activity 9 To find the distance between two students in a classroom by physically demonstrating the
position of the two students in a classroom, taking a set of reference axes with the
corner of the classroom as origin.
Activity 10 To divide a line segment by taking suitable points that intersects the axes at some points
and then verifying section formula.
Activity 11 To verify the formula for the area of a triangle by graphical method.
Unit 4 : GEOMETRY
Activity 12 To establish the criteria for similarity of two triangles.
Activity 13 To verify the basic proportionality theorem.
Activity 14 To verify Pythagoras theorem by paper cutting, paper folding and adjusting (arranging).
Activity 15 To verify that a line dividing two sides of a triangle in the same ratio is parallel to the third side.
Activity 16 To verify the relation between the ratio of areas of two similar triangles and their sides.
Activity 17 To verify experimentally that the tangent at any point to a circle is perpendicular to the radius
through that point.
Activity 18 To find the number of tangents from a point to the circle.
Activity 19 To verify that lengths of tangents drawn from an external point to a circle are equal by
using the method of paper cutting, paper folding and pasting.
Activity 20 To verify the alternate segment theorem by the method of paper cutting, pasting and folding.
Activity 21 To illustrate that the perpendicular bisectors of the sides of a triangle concur at a point
(called the circumcentre) and that it falls :
(a) inside for an acute-angled triangle.
(b) on the hypotenuse of a right-angled triangle.
(c) outside for an obtuse-angled triangle.
Activity 22 To illustrate that the internal bisectors of angles of a triangle concur at a point (called the
incentre), which always lies inside the triangle.
Activity 23 To illustrate that the altitudes of a triangle concur at a point (called the orthocentre)
and that it falls :
(a) inside for an acute-angled triangle
(b) at the right angle vertex for a right-angled triangle
(c) outside for an obtuse-angled triangle.
Activity 24 To illustrate that the medians of a triangle concur at a point (called the centroid), which
always lies inside the triangle.
Activity 25 To draw a quadrilateral similar to a given quadrilateral as per the given scale factor (less than 1).
Unit 5 : trigonometry
Activity 26 To understand the meaning of different trigonometric ratios using the circular board.
Activity 27 To verify that the values of trigonometric ratios of an angle do not vary with the lengths of the
sides of the triangle.
Activity 28 To verify standard trigonometric identities.
Activity 29 (a) To make a mathematical instrument clinometer (or sextant) for measuring the angle of
elevation/ depression of an object.
(b) To calculate the height of a building making use of clinometers (or sextant).
Unit 6 : MENSURATION
Activity 30 To verify the sum of areas of three sectors of same radius r (say) formed at the vertices
(as centre) of any triangle is .
Activity 31 To understand the concept of surface area and volume of solids and to verify the fact that
increase/decrease in the volume of a solid may not result the same.
Activity 32 To illustrate the formula for the surface area of a circus tent.
Activity 33 To obtain the formula for the volume of a frustum of a cone.
Unit 7 : STATISTICS AND PROBABILITY
Activity 34 To graphically find the median of a grouped data.
Activity 35 To graphically find the mode of a grouped data.
Activity 36 To get familiar with the idea of probability of an event through a double colour card experiment.
Activity 37 To determine experimental probability of a head (or a tail) by tossing a coin 1000 and compare it
with its theoretical probability.
Project 1 To investigate the use of Mathematics in architecture.
Project 2 To investigate the use of Mathematics in nature.
Project 3 To explore the meanings of ‘Golden rectangle and Golden ratio’ and their relationship
with some other mathematical concepts.