Laboratory Manual in Mathematics at Secondary Stage

Contents :-
ACTIVITIES FOR CLASS X
Acnvrry 1:
To find the HCF of two mambers experimentally based on Euclid Division Lemma
Acrvrry 2:
To draw the graph of a quadratic polynomial and observe:
(i) The shape of the curve when the coefficient of r is positive.
(ii) The shape of the curve when the coefficient of x is negative.
(iii) Its number of zeroes.
ACTIVITY 3:
To verify the conditions of consistency/ inconsistency for a pair of linear equations in two variables by graphical method
ACTIVITY 4:
To obtain the solution of a quadratic equation (x+4x60) by completing the square geometrically.
ACTIVITY 5:
To identify Arithmetic Progressions in some given lists of numbers (patterns).
ACTIVITY 6: To find the sum of first n natural numbers.
ACTIVITY 7: To find the sum of the first n odd natural numbers.
ACTIVITY 8: To find the sum of the first n-even natural numbers.
ACTIVITY 9: To establish a formula for the sum of first n terms of an Arithmetic Progression.
ACTIVITY 10: To verify the distance formula by graphical method
ACTIVITY 11: To verify section formula by graphical method.
ACTIVITY 12:
To verify the formula for the area of a triangle by graphical method.
ACTIVITY 13:
To establish the criteria for similarity of two triangles.
ACTIVITY 14:
To draw a system of similar squares, using two intersecting strips with nails.
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ACTIVITY 15:
To draw a system of similar triangles, using Y shaped strips with nails.
ACTIVITY 16
: To verify Basic Proportionality Theorem (Thales theorem).
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ACTIVITY 17: To find the relationship between areas and sides of similar triangles.
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ACTIVITY 18: To verify experimentally that the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.
ACTIVITY 19: To draw a quadrilateral similar to a given quadrilateral as per given scale factor (less than 1).
ACTIVITY 20:
To verify Pythagoras Theorem.
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ACTIVITY 21: To verify Pythagoras theorem by Bhaskara method.
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ACTIVITY 22: To verify experimentally that the tangent at any point to a circle is perpendicular to the radius through that point.
ACTIVITY 23: To find the number of tangents from a point to the circle.
ACTIVITY 24: To verify that the lengths of tangents to a circle from some external point are equal.
ACTIVITY 25: To find the height of a building using a clinometer.
ACTIVITY 26 To obtain formula for area of a circle experimentally.
ACTIVITY 27:
To form a frustum of a cone.
ACTIVITY 28: To obtain formulae for the surface area and the volume of a frustum of a cone.
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ACTIVITY 29: To draw a cumulative frequency curve (or an ogive) of less than type.
ACTIVITY 30: To draw a cumulative frequency curve (or an ogive) of more than type.
ACTIVITY 31: To determine experimental probability of 1, 2, 3, 4, 5 or 6 by throwing a die 500 times and compare them with their theoretical probabilities.
ACTIVITY 32: To determine experimental probability of a head (or a tail) by tossing a coin 1000 times and compare it with its theoretical probability.
PROJECTS
PROJECT 1: Aryabhat the Mathematician and Astronomer
PROJECT 2: Surface Areas and Volumes of Cuboids
PROJECT 3: Golden Rectangle and Golden Ratio
PROJECT 4: - World's Most Mysterious Number
LIST OF PROJECT
SCHEME OF EVALUATION