Comprehensive Activities Mathematics and Project Class 10th New 2013

By J.B.Dixitmore

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Chapter 1

To Find the HCF of Two Numbers Experimentally Based on Euclid Division Lemma

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Chapter 2

To Draw the Graph of a Quadratic Polynomial and Observe: (i) The shape of the curve when the coefficient of x2 is positive, (ii) The shape of the curve when the coefficient of x2 is negative, (iii) Its number of zeroes

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Chapter 3

To Verify the Conditions for Consistency/Inconsistency for a Pair of Linear Equations in Two Variables by Graphical Method

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Chapter 4

To Draw a System of Similar Squares, Using Two Intersecting Strips with Nails

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Chapter 5

To Draw a System of Similar Triangles, Using Y Shaped Strips with Nails

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Chapter 6

To Verify Basic Proportionality Theorem (Thales Theorem)

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Chapter 7

To Establish the Criteria for Similarity of Two Triangles

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Chapter 8

To Find the Relationship between Areas and Sides of Similar Triangles

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Chapter 9

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

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Chapter 10

To Verify Pythagoras Theorem

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Chapter 11

To Verify Pythagoras Theorem by Bhaskara Method

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Chapter 12

To Draw a Cumulative Frequency Curve (or an Ogive) of Less Than Type

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Chapter 13

To Draw a Cumulative Frequency Curve (or an Ogive) of More Than Type

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Chapter 14

To Obtain the Solution of a Quadratic Equation (x2 + 4x = 60) by Completing the Square Geometrically

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Chapter 15

To Identify Arithmetic Progressions in Some Given Lists of Numbers (Patterns)

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Chapter 16

To Find the Sum of First n Natural Numbers

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Chapter 17

To Find the Sum of First n Odd Natural Numbers

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Chapter 18

To Find the Sum of First n Even Natural Numbers

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Chapter 19

To Establish a Formula for the Sum of First n Terms of an Arithmetic Progression

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Chapter 20

To Verify Experimentally that the Tangent at any Point to a Circle is Perpendicular to the Radius Through that Point

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Chapter 21

To Find the Number of Tangents From a Point to the Circle

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Chapter 22

To Verify that Lengths of Tangents to a Circle from Some External Point are Equal

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Chapter 23

To Draw a Quadrilateral Similar to a Given Quadrilateral as Per Given Scale Factor (Less Than 1)

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Chapter 24

To Find the Height of a Building Using a Clinometer

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Chapter 25

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

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Chapter 26

To Determine Experimental Probability of a Head (or a Tail) by Tossing a Coin 1000 Times and Compare it with its Theoretical Probability

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Chapter 27

To Verify the Distance Formula by Graphical Method

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Chapter 28

To Verify Section Formula by Graphical Method

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Chapter 29

To Verify the Formula for the Area of a Triangle by Graphical Method

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Chapter 30

To Obtain Formula for Area of a Circle Experimentally

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Chapter 31

To Obtain Formula for the Surface Area of a Circus Tent

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Chapter 32

To Form a Frustum of a Cone and Obtain the Formulae for the Surface Area and the Volume of a Frustum of a Cone

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Chapter 33

PROJECTS :- Efficiency in Packing, Geometry in Daily Life, Experiment on Probability, Displacement and Rotation of a Geometrical Figure, Frequency of Letters /Words in a Language Text, Golden Rectangle and Golden Ratio