CONTENTS
78
82
83
88
97
To verify that the raho of the areas of a parallelogram and a triangle on the same base and
between the same parallels is 2:1
21. To verify that the angle subtended by the are at the centre of the circle is double the angle
subtended by it at any other point on the remaining part of the circle."
2 To verify that in a circle, angles in the same segments are equal
23. To verify that the opposite angles of a cvelie quadrilateral are supplementary
24. To find the formula for the area of a trapem experimentally
25. To form a cube and find the formula for its surface area experimentally
26. To for a cuboid and tind the formula for its surface area experimentally
27. To form a cone from a sector of a circle and to find the formula for its curved surface area
28. To find the relationship among the volumes of a right-circular cone, a hemisphere and a
right circular cylinder of equal radii and equal heights
2. To find a fomula for the curved surface area of a right-circular cylinder, experimentally,
30. To obtain the formula for the surface area of a sphere
31. To drans histograms for classes of equal width and varying widths.
32. To find experimental probabihty of unit's digits of telephone numbers listed on a page
selected at random of a telephone directory
3 To find experimental probability of each outcome of a dice when it is thrown a
large number of times
27
pro al
2. To prevestel bez to the realmber line
to vendly die algehese identus is
Tesly the braic evitity: 2
To send the alpebra identity: a)
To way the chaic identity tab+*++ 2ab + 2h + 2x
2. Tay the serie desty: 3
* Vanity the brake sentit de la
8. Tonery a algebraic entity' (bah
Tay the algebraic identity + ab + b)
1. Torfind the sale of abscissors and ordinates of vions points given in a Cartesian plane
To find a hidden picture by plotting and jong the various points with given coordinates
103
109
S
To vely experimentally that if he des internet, then
fal Monically opposite angles are equal
(l. The son of two adjacent angles is 180
c) The sum of all the four angles is 160
Te venity experimentally the diferent caters for congruency of triangles using triangle
124
50
15 Verify that the sum of angles in a mangle is 180
To vand the exterieur angie property of a triangle
Tuve experimentally that the sum of the angles of a quadrilateral is 360°
18 To vent experimentiily that in a mangle, the longer side has the greater angle opposite
Projects
1. Story of
2. Chronology of Indian Mathematicians with their contributions
3. To develop Heron's formula for area of a triangle
4. Development of formula for the area of a cyclic quadrlateral
5. With rectangle of given perimeter, finding the one with a maximum area and rectangle
of given area, finding the one with least perimeter.
6. Knowledge and classification of solid figures with respect to surface areas and volumes
7. Generation of Pythagorean triplets
8. Magic Squares
9. With cuboids of given surface area, finding the one with maximum volume and with
cuboids of given volumes, finding one with least surface area
10. Mathematical Designs and Pattems.
128
129
131
132
19. To verify that
a) Area of a parallelograms on the same base and between the same parallels are equal
th) At of angies so the same base and between the same parallels are equal.
133
Glossary
Answers
Answer:
angles are equal
(l. The son of two adjacent angles is 180
c) The sum of all the four angles is 160
Te venity experimentally the diferent caters for congruency of triangles using triangle
124
50
15 Verify that the sum of angles in a mangle is 180
To vand the exterieur angie property of a triangle
Tuve experimentally that the sum of the angles of a quadrilateral is 360°
18 To vent experimentiily that in a mangle, the longer side has the greater angle opposite
Projects
1. Story of
2. Chronology of Indian Mathematicians with their contributions
3. To develop Heron's formula for area of a triangle
4. Development of formula for the area of a cyclic quadrlateral
5. With rectangle of given perimeter, finding the one with a maximum area and rectangle
of given area, finding the one with least perimeter.
6. Knowledge and classification of solid figures with respect to surface areas and volumes
7. Generation of Pythagorean triplets
8. Magic Squares
9. With cuboids of given surface area, finding the one with maximum volume and with
cuboids of given volumes, finding one with least surface area
10. Mathematical Designs and Pattems.
128
129
131
132
19. To verify that
a) Area of a parallelograms on the same base and between the same parallels are equal
th) At of angies so the same base and between the same parallels are equal.
133
Glossary