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1. Name of the Instrument: - An instrument related to cyclic angle theorem

( )

1.1 An instrument involving angle in a circle

a. Size of the complete apparatus: - Length and breadth about 30cm x 30cm

b. Material used: - Plastic plates of thickness 0.1cm

i. Color: - Stickers of attractive colors (yellow, green)

ii. Stainless Steel rods of diameter 0.2cm used Printed protractors.

c. Uses: - For grades (6 -11) the angle in a circle included in the syllabus and the shown

the relationships in the theorems, practically.

d. Activity: - By rotating one disc over the other

e. Packing: - packed in a polythene cover and pack in a 40cm x 40cm cardboard box.

f. Note: - this can be done as individual activities or in groups according to the worksheets.

.

1.2 An instrument to show the theorems involving cyclic quadrilaterals.

a. Size of the complete apparatus: - Length and breadth 30cm x 30cm

b. Material used: - plastic plates of thickness 0.1cm

i. Color: - paper stickers of attractive colors

ii. Stainless Steel rods of diameter 0.2cm

iii. Printed protractors.

c. Uses: - introducing angles in a cyclic quadrilateral and the show the theorems in grade (6-11)

d. Activity: - By rotating one disc over the other the relevant activity can be performed.

e. Packing: - packed in a polythene cover and pack in a 40cm x 40cm cardboard box.

f. Note: - can be used as individual activities or in group activities according to the giving worksheets.

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1.3 To show the alternate segment theorems in a cyclic.

a. Size of the apparatus: - Length and breadth 30cm x 30cm

b. Material used: - plastic plates of thickness 0.1cm

i. Color: - stickers of attractive colors

ii. Stainless Steel rods of diameter 0.2cm Printed protractors.

c. Uses: - To show the alternate segment theorems in a grade (6-11) syllabus

d. Activity: - By rotating one disc over the other

e. Packing: - this is pack in a box a dimensions 40cm x 40cm made of cardboard.

f. Note: - can be used as individual or group activity

1.4 To show the properties and theorems in triangles

a. Size of the apparatus: - Length and breadth 30cm x 30cm

b. Material used: - Plastic plates of thickness 0.1cm

i. Color: - stickers of attractive colors (green, red etc.)

ii. Stainless Steel rods of diameter 0.2cm used Printed protractors.

c. Used: - In grade (6 -11) this can be used to show the theorems in triangles and their properties

to show the position of the center of the circle of any triangle

d. Activity: - By rotating one disc over the order

e. Packing: - packed in a polythene cover and pack in a box of 40cm x 40cm made of cardboard.

1.5 Theorems and facts that can be presented by these projects

I. Diameter of a circle is twice its radius

II. To show the angle half, quarter, three quarter, straight angle, right angle, acute angle, obtuse

angles, reflex angle.

III. The sum of interior angle of triangle is 1800

IV. In a triangle, the side opposite the largest angle is the largest side and the side opposite the

smallest angle is the smallest site.

V. An angle of an equilateral triangle is 600

VI. In a triangle the exterior angle is equal to the sum of the interior opposite angle.

VII. To find the position of circum circle of any triangle.

VIII. Angle at the center is twice the angle at the circumference.

IX. Angle in the semicircle is a right angle.

X. Angle in the same segment are equal.

XI. Opposite angle in a cycling quadrilateral are supplementary.

XII. In a cyclic quadrilateral, the exterior angle is equal to the interior opposite angle.

XIII. In a circle, the angle between chord and a tangent is equal to the angle in the alternate segment

XIV. When two parallel lines are intersected by a transversal, the corresponding angle, alternate

angle are equal and the allied angle are supplementary.

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2. Name of the Instrument: - To measure the radius/diameter or circular plates Prove the geometrical theorems. ( )

2.1 Size of the complete apparatus: - 350mm x 300mm x 12mm 2.2 Material needed: - a. A board 50cm low and 2cm thick

b. Several circular plates.(different size) c. 60 brass nails 18mm length. d. 4

. e. 30mm , 15mm

, , 100 .

(Transparent Sheets) 9.5cm 360 , (Transparent Sheets) 1-9cm .

2.3 Instruction: - BD is a bisector of angle ABC. Draw the scale on AB, BC and BD as cm/mm 2.4 Use: - to measure a diameter of a circular disc and to find the radius.

For grades (6 -11) 2.5 Prove the geometrical theorems (Triangle and circles) 2.6 Packing: - packed in a polythene cover and pack in a box of 50cm x 40cm made of cardboard.

3. Name of the Instrument: - Mid-point theorem ( )

3.1 Size of the complete apparatus: - Length 45cm Breadth 45cm

3.2 Standard of the materials used:- a. Color: - Red, Blue

b. Materials: - i. Aluminum strip - Breadth of 3cm ii. Measuring tapes

Uses: - Grade (10-11) a. To show the midpoint theorem b. Relationship between intercepts c. Can be used in a group activity according to E-5 method

3.3 Package: - All the arms are separated packed in a polythene pack and closed 3.4 Packing: - A polythene bag with a clip for the nails

B

A D C

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4. Name of the Instrument: - To show addition and subtraction of integers

( )

4.1 Size of the completed apparatus:- a. Length 45cm b. Breadth 45cm

4.2 Standard of the materials used:- a. Color - Red, Yellow b. Materials Plywood of thickness 6mm

4.3 Used: - Grade (6-11) Show the addition and subtraction of integers.

4.4 How to used:- A circular disc of radius 12cm. rotates on a square which is graduated from 0 to 9 and 0 to -9 at equal intervals.

4.5 Package:- A Polythene cover which can be removed

5. Name of the Instrument: - An Instrument which can be used to find the area of Triangles and show geometric theorems ( )

5.1 Size of the complete apparatus:-

a. Length - 60cm

b. Breath - 30cm

5.2 Standard of the materials used :-

a. Color - Blue, Yellow, Pink

b. Materials i. Seasoned Rubber wood of thickness 12mm, 10mm, 6mm ii. Measuring tape

c. 3 .

5.3 Uses: - Grade (9-11) computing the area of triangles

5.4. Package: - A Polythene cover which can be removed

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6. Name of the Instrument: - An Instrument to show the basics of probability ( )

6.1 Size of the completed apparatus :- a. Length 37.5cm

b. Breadth 30cm

6.2 Standard of the materials used :- a. Color - Background - Purple

Plate Hard Board of 6mm thickness, Multi Colored (Green/Red/Yellow)

b. Materials Timber of Seasoned Rubber thickness 18mm

6.3 Uses :- Grade (6-11) a. Pupil can learn the basics of probability practically b. Illustration of compound events and simple events

6.4 How to use: - The circular frame can be rotated about the center by a nail fixed at the center. Let the plate rotate and once it stops, note down the color or the number it indicates

6.5 Other side of the plate: - Green/Blue/Red/Yellow

6.6 Package: - A polythene pack which can be removed.

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7. Name of the Instrument: - An Instrument which can be used to find the area of Paralalogram and show geometric theorems ( )

7.1 Size of the complete apparatus

a. Length 60 cm

b. Breath 30 cm

7.2 Standard of the materials used :-

b. Color - Green, Purple, Red, Yellow

c. Materials 1. Hard Board - thickness 12mm, 10mm, 6mm

2. Measuring tape

7.3 Uses: - Grade (9-11) computing the area of Paralalogram and the area of different shapes to build up formula to find the area and show geometric theorems.

7.4 Package:- A Polythene cover which can be removed

8. Name of the Instrument: - Square based pyramid ( )

8.1 Aims to find

a. The subsurface area of a square based pyramid

b. Volume

c. Perpendicular height Length of a side of abase

d. Slant height

e. Length of the sides of the triangular face

8.2 Detail Report

a. x = (7-8) cm, b = (9 -10) cm, y = 9 cm, should be the measurements.

b. Must be made of a transparent sheet.

c. The triangular part fixed inside must be of a dark shade.

d. Must be a closed solid.

y a

b

x

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09. Name of the Instrument: - Clinometers ( )

9.1 - - 16cm ( ) - 5cm

. . 9.2 6cm .

4mm 9.3

. 11cm . 9.4 16cm 8cm .

4.5cm 0-0 . 9.5 . 9.6 9.7 2cm .

10. Name of the Instrument: - Illustration of the perpendicular height of a Cone ( )

10.1 Should demonstrate the relevant mathematical concept.

10.2 Materials should be durable and colorful.

10.3 Should have an attractive finishing.

10.4 Should be transparent.

7cm

9cm

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11. Name of the Instrument: - Cube and a Pyramid

( )

11.1 Aims

(i) To find the volume of a cube

(ii) To find the volume of a pyramid

(iii) To find the relationship between the volumes of a cube and a pyramid

11.2 Detail report

(i) Measurements should be a = 75 mm , x=57mm, y=65mm

(ii) Must be made of a transparent sheet

(iii) The upper faces of the cube and the pyramid must be open.

(iv) If liquid is poured into both models, it should not seep through it.

a

y

a

a

x

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12. Name of the Instrument: - Transparency board ( )

12.1 Size of the complete apparatus :-

a. Length 120cm

b. Breadth 90cm

12.2 Quality of the materials used :-

a. Sheet of rexine (gauge 600)

b. Thick polythene of a good quality

12.3 Numbers from : - a. 1-100 (green)

b. 1-100 (Red - for the multiplication table)

c. 1-9 (Blue for the additional table)

12.4 Use of the apparatus :-

For grade (6-11)

a. To build up multiplication tables

b. To build up addition tables

c. To build up subtraction tables

d. Use of a gird to build up a table

e. Building up square numbers and triangular numbers.

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13. Name of the Instrument: - Fraction board ( )

13.1 Size of the completed apparatus: - Length 60cm, breadth 40cm, Diameter of the circle 17cm

13.2 Quality of the materials used:-

a. every part should be made out of Timber of Seasoned Rubber.

b. It is possible to separate each piece of a circle marked clearly as 1,1

2,

1

4,

1

3,

1

6,

1

8

c. Any set of piece of circle should be fitted to any pit.

d. 1,1

2,

1

4,

1

3,

1

6,

1

8 must be painted on each piece.

e. Above pieces must be embedded in a wooden board

13.3 Use of the apparatus:-

a. For grades (6- 11)

b. Introduction of fractions

c. Addition of fractions

d. Subtraction of fractions

e. Introduction of equivalent fractions

13.4 Activity: - Can be used to show the relationship between fractions. It can be shown that there

are 2 of 1

4

1

2 and 4 of

1

8 to

1

2 3

1

6

1

2. this can be used to add fractions.

Eg: - 1

2 +

1

3

1

6 +

1

6 +

1

6 +

1

6 +

1

6 =

5

6

Similar subtraction of fractions too can be done.

13.5 Packing: - It can be closed with a lid on top.

13.6 Other used: - Can be used to introduce fraction in primary classes.

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14. Name of the Instrument: - Tape of Mathematical Operations ( )

14.1 Size of the instrument :- Length 120cm, breadth 5cm with a 3.5cm x 0.5cm cave

14.2 Quality of materials used :-

a. Materials Timber of Seasoned Rubber

b. Painted tape of

1. 1 red tape

2. 1 yellow tape

3. 1 purple tape

4. 1 green tape

5. 1 pink tape

6. 1 orange tape

7. 1 white tape

8. 1 brown tape

9. Light green tape

Above tapes are made of thick card board to last at least for 5 years.

14.3 Uses :- For Grade (6-11)

a. Can help slow learners

b. Can improve the knowledge of addition

c. Can be used in mathematical operations such as subscription

d. Can show multiplication

e. Can be used in division

14.4 Activity:- By keeping the tape bearing numbers from 1 to 40 horizontally and keeping the

relevant

Tape on it the mathematical operation can be performed

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15. Name of the Instrument: - A Pack of Number Bases ( )

15.1 Size of the complete apparatus :- A board of length 30cm and breadth 5cm and

50 circle ball with diameter 2cm, & with a center hall diameter 0.5 cm

Steel Rods thickness 0.5cm & Variable deferent heights = (2,4,6,8,10,12,14,16,18)cm , top of

the rod should be smooth

15.2 Quality of the materials used: a. An attractive appearance

b. Must be timber of Seasoned Rubber

15.3 Uses: - a. To teach about number bases from grades (6-11) and to give a practical knowledge of

the numbers to the bases, 2,3,4,5,6,7,8,9,10

b. The knowledge about the place values

15.4 Activity: - To know the place values of numbers using the abacus. Reading the values relevant to a place by using the counters

16. Name of the Instrument: - Ohmi Card Pack ( )

16.1 / , , , .

, , ,

.

16.2 It should be made out of durable material (Laminated cards) Art boards (gsm 350)

16.3 Size:- Normal size of a card pack (length and width)

16.4 Size of the complete apparatus: - 52 card of dimensions: 0.9cm x 5.8cm x 0.3mm

(Normal card pack size)

16.5 Package:- A laminated paper box of dimensions 9.5cm x 6.5cm x 1.6cm which can be removed

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17. Name of the Instrument: - Chance pack ( )

,

.

17.1 Size of the complete apparatus: - 52 cards of dimensions (Laminated card), Art boards (350gms)

8.9cm x 5.8cm x 0.3mm packed (Normal card pack size)

In a paper box of dimensions 9.5cm x 6.5cm x 1.6cm

17.2 Quality of materials used: - Card should be laminated so that they will not get dirty. A Thick paper

which will not get discolored should be used. The 4 corners of each

card must not have a right angular shape instead they should be

round in shape. The packet or the box in which the cards or packed

must be properly made so that it will be durable.

17.3 Uses of the apparatus: - It is the game for the children grade (6) and above. It is an enjoyable

game which involves the knowledge of fractions. This tends to workout

operations on fractions mentally.

17.4 A game to build up mathematical relationships, creativity, and good habits of children, such as

to make a child sit and concentrate on a certain thing for long periods.

a. Quality of the complete apparatus:- Should be durable (at least for 5 years and should have

a healthy finish.

b. Uses of the apparatus: - Can be used directly or indirectly as teaching aid for mathematics.

17.5 Package:- A laminated paper box of dimensions 9.5cm x 6.5cm x 1.6cm which can be removed

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18. Name of the Instrument: - Dominos ( )

18.1 Size of the completed apparatus:- 49 dice of dimensions

2 cm x 3.8 cm x 1.2 cm

Packed in a box of dimensions 10.8 cm x 16.3 cm x 4.8 cm

18.2 Quality of the materials used: - Dice made of Seasoned Rubber timber, painted with bright colors.

The top side of the dice is yellow in color on top of which black

spots are painted. Back of the dice is of 3 colors. A set of

dominos is consisting of 49 different dice packed box made of

seasoned Rubber timber.

18.3 Use of the apparatus:-To improve the knowledge of probability, to prepare domino sties, to

prepare squares using additions, can be used at any level from

grades (6 -11)

18.4 Activity: - A game consisting of 4 players, each one trying to win cards. The one who wins most

number of cards is the winner.

19. Name of the Instrument: - Wheel Set ( )

To improve the coherent power of students

19.1 Made out of seasoned Rubber timber

19.2 It should be durable

19.3 Colorful finishing

19.4 Consists 8 wheels with Centre hall (diameter 2.0cm) diameters 5cm, 6cm, 7cm, 8cm, 9cm,

10cm, 11cm, 12cm made of seasoned Rubber timber

19.5 3 Set of Largest wheels should be fixed to the vertical bar. Bar height 16cm, diameter 1.5cm

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20. Name of the Instrument: - Following multy products (Playing Dhamm)

( ) -

20.1 Size of the completed apparatus:- 45cm x 45cm

20.2 Quality of the materials used:-

a. Laminated sticker bearing clearly printed numbers with an attractive outlook pasted on a Seasoned Rubber timber board.

b. Thickness of the wooden frame - 1.5 2.00 cm

20.3 Width of the wooden frame - 2.5 3.00 cm Circular discs in black and white, 30 from each color

20.4 Diameter of a disc - 1.7 cm 2.00 cm, made of seasoned Rubber timber

20.5 Thickness of a disc - 0.8 cm 1.00 cm

20.6 Use of the apparatus:-

Multiples of numbers between 1 and 100

A game where you have to complete to gain maximum points.

20.7 Keep the white discs from 1 to 30 and black discs from 71 to 100 and draw the discs relevant to

laws of multiplication. Two players can participate in this game.

20.8 Addition uses:- A game involving addition and subtraction too can be done with this board

20.9 Package:- A Polythene cover which can be removed

20.10 12 sided die with each edge 3.5cm length numbering each side using following integers.

-7, +7, +0, -0, -9, +9, +11, -11, +1, -1, +13, - 13

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21. Name of the Instrument: - Adjusting Card Pack Pairs ( )

21.1 .

21.2 It should be made out of durable material. (Laminated cards) Art boards (gsm 350)

a. Size: Normal size of a card pack (length and width)

b. Size: of the complete apparatus: - 52 cards of dimensions 8.9cm x 5.8cm x 0.3mm

(normal card pack size)

21.3 Should be packed in a paper box of dimensions - 9.5cm x 6.5cm x 1.6cm

21.4 Mathematical concepts should be demonstrated (properties of triangles)

21.5 Package:- A laminated paper box of dimensions 9.5cm x 6.5cm x 1.6cm r which can be removed

22. Name of the Instrument: - Nomograme ( )

22.1 It should be numbered with integers from -24 to +24 and two nylon threads should be fix to the

instrument. It should be fixed 24 wooden nail, upper and below of the instrument each

numbering from -12 to +12. A movable plastic tape should be fitted to the instrument.

22.2 Should made out of seasoned Rubber timber with Colorful finishing (should not be heavy)

22.3 Size:- 1m x 8cm x 1cm

22.4 12 sided die with each edge 3.5cm length numbering each side using following integers. +(-5), +(+5), -(-5), -(+5), -(-1), +(+1), (+1),+(-1), -(-), -(+), +(-), +(+)

22.5 Package:- A Polythene cover which can be removed

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23. Name of the Instrument: - Number Line ( ) 23.1 It should be numbered with integers from -24 to +24 and two parallel nylon threads containing

a wooden dice each should be fix to the instrument.

23.2 Size:- 1m x 8cm x 1cm

23.3 Should made of seasoned Rubber timber with Colorful finishing (should not be heavy)

23.4 Package:- A Polythene cover which can be removed

24. Name of the Instrument: - To find the volume of sphere

( )

24.1 Aims

a. To find the volume of sphere

b. To find the relationship among the volumes of a cylinder, cone and a sphere.

24.2 Detail report

a. a = 14cm , b= 75 cm

b. Cone and the cylinder must be made of a transparent sheets.

c. Liquids must not seep through

d. The sphere should be sink in liquids

a a a

b

a a

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25. Name of the Instrument: - An instruments to Show the Difference of two Cubes ( )

25.1 Size: - A cubs of dimensions 7cm x 7cm x7cm

(i) A cube of dimensions 5cm x 5cm x 5cm

(ii) A cuboids of dimensions 7cm x 7cm x 2cm

(iii) A cuboids of dimensions 5cm x 5cm x 2cm

(iv) A cuboids of dimensions 7cm x 5cm x 2cm

25.2 Quality of the material used:-

(i) Every blocks should be made out of seasoned timber MAHOGANI

(Cubes and cuboids made of a light wood)

(ii) Wooden blocks should be painted in present various color

(iii) The cube 5cm x5cm x 5cm is painted in one shade

(iv) The cuboid 7cm x 7cm x 2cm has

7cm x 7cm sides painted in the same shade (yellow)

7cm x 2cm sides painted in the same shade (green)

(v) The cuboid 5cm x 5cm x 2cm has

a. 5cm x 5cm sides in red

b. 5cm x 2cm sides in green

(vi) The cuboid 7cm x 5cm x 2cm has

a. 7cm x 5cm sides in pink

b. 7cm x 2cm and 5cm x 2cm in green

b. When all are kept together you obtain a3 ( volume)

c. When b3 is remove you obtain a3 b3

d. a3 b3 are 3 small cuboids. Sum of these 3 gives the volume.

Find the sum of the volumes.

1. b2 (a-b), a2 (a-b), ab (a-b)

2. 3 3 = 2( ) + ( ) + 2( ) = ( )(2 + + 2)

25.3 Use of the apparatus:

a. To understand the result

3 3 = ( )(2 + + 2)

b. Through there are several cuboids, basically there are only two types of cuboids

c. The relationship between areas and volumes in cubes and cuboids

25.4 Packing: - A seasoned Rubber timber box is used to keep their solids safely.

b=5

b=5 b=5

b=5

b=5

a=7

a=7

a=7

b=5 (a-b)

(a-b) (a-b)

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26. Name of the Instrument: - To Solve problem involving compound solids ( )

26.1 Detail Report

a. Measurements should be, a = 10cm, b = 7cm, c =4.5cm

b. Every blocks should be made out of seasoned timber MAHOGANI

c. The removable part and the other part of the solid should painted

d. Separate part must be made so that when it inserted, it from the original solid.

b

b

a

b

c

b

b

c

a

b

a

a

b c

c b b

a