This document introduces the Universal Active Math method for teaching mathematics. It explains that math has many languages including hands, words, sounds, pictures, objects, shapes, patterns, and numbers. The method aims to introduce all of these languages of math to help children enjoy, discover, understand, and master the subject. It describes how the method will use objects for the language of things and then Math Delight workbooks to teach the languages of pictures and numbers.

1. MathDelight-1

2. Universal Active Math
Math has many languages
The language of hands and fingers
The language of words
The language of sounds
The language of pictures
The language of things
The language of shapes
The language of patterns
The language of numbers
NAVNIRMITI
Math does not have only one
language. Therefore it cannot
be learned only through paper,
pen or blackboard nor can it be
me mo ri ze d / l e a rn e d b y ro te .
Universal Active Math method aims at
introducing all the languages of math.
We will use objects for the language
of things, and then for the language
of pictures and the language of
numbers we will use Math Delight.
A child who is familiar with this
way of learning math, would enjoy,
discover, understand, and master math.

3. Navnirmiti
Universal Active Mathematics
Math Delight - 1
Conceived and Written by
Dr. Vivek Monteiro, Geeta Mahashabde
Navnirmiti Material resource Team
Kamal Parab, Maya Nadkarni, Rasika Mhamal,
Lata Mahale, Gajanan Naik, Srikant Devidas,
Khushali Mamlekar, Sambhaji Raut,
Shankar Budke, Meghashyam Palyekar.

4. e navnirmiti@yahoo.com
www.navnirmiti.org
e navnirmitipune@yahoo.com
Navnirmiti - Universal Active Math - Math Delight - 1
>Dr. Vivek Monteiro, Geeta Mahashabde
Publisher : Navnirmiti
Navnirmiti
‘Discover It’
3rd Floor, Priyadarshini Apartments,
Padmavati Hospital Lane,
Near IIT Market Gate,
Powai, Mumbai - 400 076.
( 022 ) 2578 65 20 / 2577 32 15
Navnirmiti, Pune
Gunvatta Centre, Umed,
564 B, Shanivar Peth, Ramanbaug Chowk
Near Axis Bank, Pune - 411 030
( 020 ) 2447 10 40 / 9850303396
( For Private Circulation only )
c
w
All rights reserved with Navnirmiti
First Edition : 2007
Second Edition : 2008
Third Edition : 2009
Graphics and Design : Russell Gonsalves
Geeta Mahashabde
Soni Yadav &
Navnirmiti Material Resource Team
VCM-GM-NNc

5. Dear
This is your book.
Your Math book.
Have fun doing the problems.
Enjoy Math!
Teacher
1
VCM-GM-NNc

6. Draw a mango in the plate.
Draw a rat outside the plate.
Draw a girl in the boat.
Draw water outside the boat.
Draw more coconuts on the tree.
Draw a cat under the tree.
Draw a circle inside the triangle.
Draw a circle outside the triangle.
2
VCM-GM-NNc

7. 3
Which are the same? Join them.
VCM-GM-NNc

8. 4
Which are the same? Join them.
VCM-GM-NNc

9. 5
Colour the one that is different.
VCM-GM-NNc

10. 6
Colour the one, which is different.
VCM-GM-NNc

11. Look at the picture on the left. Find the same picture on the right and colour it.
7
VCM-GM-NNc

12. Colour the biggest chick.
Colour the smallest ball.
8
Colour as told.
Colour one mango on the tree.
Draw a ball on the chair next
to the boy.
Colour the longer pencil.
Colour the shorter boy.
VCM-GM-NNc

13. 9
Draw a line joining one ball to each child. Colour the remaining ball.
Draw one ball for each child.
VCM-GM-NNc

14. 10
Which are the things which have a similar shape to the shape shown?
Draw them in the box.
VCM-GM-NNc

15. 11
Look at the shape. Draw bigger and smaller shapes which look the same.
VCM-GM-NNc

16. Which groups have the same number of objects? Join the pairs.
12
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17. 13
Which are more in number? Colour the larger group.
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18. Which are less in number? Colour the smaller group.
14
VCM-GM-NNc

19. More children
than umbrellas
Draw as instructed.
Less children than umbrellas
More umbrellas than children
As many children as umbrellas
Less umbrellas than children
15
VCM-GM-NNc

20. How many? Match the pairs.
16
2
4
5
1
3
VCM-GM-NNc

21. 17
Colour as instructed.
Flowers
3
Mangoes
5
Fish
1
Balloons
2
Lions
4
Cocks
3
Trees
0
VCM-GM-NNc

22. Join the numbers in sequence.
18
VCM-GM-NNc

23. 19
Draw one more picture. How many now? Write the number.
VCM-GM-NNc

24. 20
Drawasmanypictures.
5
3
2
4
1
VCM-GM-NNc

25. 21
How many? Count and write the number.
VCM-GM-NNc

26. 22
Makedifferentshapesbyputtingplugsonthemathemat.Drawthepictures.
1223333
444444
55555
VCM-GM-NNc

27. How many balloons with each child? Write the number.
23
How many leaves on each stem?
How many laddoos in the plate?
How many mangoes on the tree?
VCM-GM-NNc

28. How many? Match the pairs.
24
7
9
6
8
VCM-GM-NNc

29. Colour as many as the given number.
25
5 1
8 4
97
VCM-GM-NNc

30. 26
Join in Sequence.
VCM-GM-NNc

31. 27
Drawasmany.
8
6
9
7
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32. 28
6
7
8
9
Make as many groups as you can, with this number of animals.
VCM-GM-NNc

33. 29
The number of flowers must equal the number of leaves. What will you do?
Make the number of mangoes equal to the number of apples.
Make the number of balloons equal to the number of kites.
Make the number of stars equal to the number of suns.
VCM-GM-NNc

34. Draw as many pictures.
30
3
5
6
2
7
0
4
9
1
3
8
VCM-GM-NNc

35. 31
How many? Write the number.
VCM-GM-NNc

36. 32
Write the numbers in sequence.
Write the previous number.
Write the number teacher says.
1
1 2
2
7
8
9
3
3
5
8
7
VCM-GM-NNc

37. 33
2 Children were playing 2 more joined Total number
of Children
3 flowers on the tree 4 more blossomed flowers in all
5 pictures on the
blackboard
Pictures in all2 more pictures
were drawn
VCM-GM-NNc

38. 34
Match the pairs.
4 0
2 4
1 6
6 2
3 3
3 4
8 0
VCM-GM-NNc

39. 35
Write the missing numbers.
6 7
75
63
43
99
92
84
64
82
5
VCM-GM-NNc

40. 36
Look at the parts. Write the addition in numerals.
VCM-GM-NNc

41. 37
Write the additions in numerals.
3
2
5
VCM-GM-NNc

42. 38
See the picture. Write the answer.
26
52
33
09
72
9
0
9
0
6
2
2
3
2
6
0
2
4
1
5
4
3
3
3
6
1
6
Do the addition and write the answer.
Units Units Units Units Units
UnitsUnitsUnitsUnitsUnits
VCM-GM-NNc

43. 39
Match the direct and reverse additions.
VCM-GM-NNc

44. Direct Reverse
40
Match the direct and reverse pairs.
VCM-GM-NNc

45. 41
Direct Reverse
Colour and show the reverse sum.
VCM-GM-NNc

46. 42
Loot at the pictures and write the direct and reverse sums.
Direct Reverse
2 23 35 5
VCM-GM-NNc

47. 43
Loot at the pictures and write the direct and inverse additions.
2
2
3
3
5
5
VCM-GM-NNc

48. Look at the two parts and write the direct and inverse additions.
44
VCM-GM-NNc

49. 3 birds on the wire
1 flew away
Now there are birds on
the wire.
5 chairs
3 were occupied
6 mangoes on the tree
chairs are vacant
3 mangoes fell down mangoes left
45
VCM-GM-NNc

50. 4 leaves on the branch
2 fell off
Leaves remain on the
branch
There were 5 boys
3 boys went away
boys remained
There were 8 laddoos in the
plate
4 laddoos were taken out
laddoos remained in the
plate
7 glasses were full
5 were emptied
full glasses
remained
46
VCM-GM-NNc

51. 47
Match the pairs.
3 2
6 6
5 2
5 1
4 2
7 2
4 1
6 4
7 4
5 3
VCM-GM-NNc

52. 48
There were girls.
girls went away.
girls remained.
There were boys.
boys went away.
boys remained.
Fill in the blanks.
There were girls.
girls went away.
girls remained.
There were boys.
boys went away.
boys remained.
VCM-GM-NNc

53. 49
So many birds
So many flew away
This number remained
So many rupees with me
So many were spent
So many remained
with me
So many rats
So many ran away
This number remained
So many mangoes
So many were eaten
So many mangoes
remained uneaten
So many flowers
So many dried up
So many flowers
remained
So many grapes
So many were eaten
So many grapes
remained
VCM-GM-NNc

54. 50
Match the pairs.
5 1 4
6 2 4
7 3 4
5 2 3
7 4 3
5 4 1
5 3 2
6 4
VCM-GM-NNc

55. 51
Write the missing number in the box.
4 2
5 1
3 3
8 4
7 4
9 5
5 0
7 6
5 2
7 7
VCM-GM-NNc

56. 52
Strike off as many boxes as required.
6 3 3
3 2 1
5 2 3
7 1 6
5 3 2
8 7 1
9 4 5
7 4 3
4 4 0
9 0 9
VCM-GM-NNc

57. Write the missing number.
53
5 3
3 3
6 3
7 3
4 2
8 8
8 0
9 8
5 3
5 2
VCM-GM-NNc

58. 54
2 1
8 1
4 0
3 3
1 8
0 8
5 2
1 4
8 0
2 5
Write the missing number.
VCM-GM-NNc

59. 55
Write all the missing numbers.
VCM-GM-NNc

60. Units
Units
Units
Units Units Units Units Units
Units Units Units Units
Units Units Units Units
Units Units Units Units
56
7
4
3
5
2
9
6
8
7
5
1
9
5
6
6
6
3
8
0
8
4
4
2
9
8
7
2
5
0
5
5
6
4
8
2
9
1
7
5
7
1
VCM-GM-NNc

61. 57
Remove one part, write the subtraction.
write another subtraction.
Remove the other part,
2 and 3 joined make a rod of 5
Remove 2, 3 remains Remove 3, 2 remains
5 2 3 5 23
3 joined to 4 make a rod of 7
Remove 3, 4 remains Remove 4, 3 remains
Write in numerals Write in numerals
2 and 5 joined makes a rod of 7
Write in numerals Write in numerals
VCM-GM-NNc

62. 58
How many cubes on the slate? Write in words and numerals.
Three 3
VCM-GM-NNc

63. Ten Units = One Ten
59
Ten Units = One Ten
Nine Unit cubes on
the slate House of Units
House of Units
Add one more Unit.
Now there are Ten Units
on the slate.
Join the Units to make a rod of Ten.
House of UnitsHouse of Tens
Ten Units = 1 Ten = = 10
Tens Units
1
1
0
0
VCM-GM-NNc

64. Making Ten with a chain of beads
Nine loose beads on
the slate
Add one more bead.
Now there are Ten loose
beads on the slate.
Make a chain of Ten beads. This is a “Ten”. Keep it in the house of Tens.
Ten Units = One Ten
House of Units
House of Units
House of UnitsHouse of Tens
1 0
60
Ten Units = Ten = =
Tens Units
VCM-GM-NNc

65. 61
Twenty units are there in the House of units.
House of UnitsHouse of Tens
House of UnitsHouse of Tens
Join the units to make two rods of Ten. Keep the two rods in their house.
2 2 2 00
Tens
Tens
Tens
Units
Units
Units
Twenty Units = Tens = =
Forty Units = Tens = =
Seventy Units = Tens = =
VCM-GM-NNc

66. 62
How many? Write in numerals.
House of UnitsHouse of Tens Tens Units
House of UnitsHouse of Tens Tens Units
House of UnitsHouse of Tens Tens Units
House of UnitsHouse of Tens Tens Units
VCM-GM-NNc

67. How many rods of ten? How many units? What is the number?
Tens
Tens
Twenty
Units
Units
2
2
0
0
Tens Units
Tens Units
Tens Units Tens Units
Tens
Tens
Tens
Tens
Units
Units
Units
Units
Tens Units Tens Units
63
VCM-GM-NNc

68. 64
How many rods of ten? How many units? Write the number.
Tens
Tens
Units
Units
Tens Units
Tens Units
Tens Units Tens Units
Tens
Tens
Tens
Tens
Units
Units
Units
Units
Tens Units Tens Units
2
2
3
233
64
VCM-GM-NNc

69. 65
Match the pairs.
07
44
8
5
58
3
6
T
T
T
T
T
U
U
U
U
U
VCM-GM-NNc

70. RESERVE BANK OF INDIA
^maVr` [aOd© ~¢H^maVr` [aOd© ~¢H
Xg én`oXg én`o
x ox xooxxxo
x ox xooxxxo
10
10 10
RESERVE BANK OF INDIA
^maVr` [aOd© ~¢H^maVr` [aOd© ~¢H
Xg én`oXg én`o
x ox xooxxxo
x ox xooxxxo
10
10 10 RESERVE BANK OF INDIA
^maVr` [aOd© ~¢H^maVr` [aOd© ~¢H
Xg én`oXg én`o
x ox xooxxxo
x ox xooxxxo
10
10 10
66
Write the numbers.
40
VCM-GM-NNc

71. 67
Draw the rods and cubes.
45
7
84
89
30 55
VCM-GM-NNc

72. 68
Draw the rods and cubes.
36
5
63
70
99 74
VCM-GM-NNc

73. 69
Cubes Cubes
Tens
Tens
Tens
Tens Tens
Tens Tens
Tens Tens
TensTens
Tens
Tens
TensUnits
Units Units
Units Units
Units Units
Units Units
Units Units
Units Units
Units
Cubes Cubes
Cubes Cubes
Cubes Cubes
Cubes Cubes
Cubes Cubes
Cubes Cubes
4 4 6
7 6 9
9 0 0 5
7 7 9 8
1 5
20
6
8
8 5 4 6
3
6
5 5 3
3
Rods Rods
Rods Rods
Rods Rods
Rods Rods
Rods Rods
Rods Rods
Rods Rods
VCM-GM-NNc

74. 70
Rods and Cubes Rods and Cubes
Rods and Cubes Rods and Cubes
Rods and Cubes Rods and Cubes
Rods and Cubes Rods and Cubes
Rods and Cubes Rods and Cubes
Rods and Cubes Rods and Cubes
Rods and Cubes Rods and Cubes
Rods and Cubes Rods and Cubes
Rods and Cubes Rods and Cubes
Rods and Cubes Rods and Cubes
223 3
40
53
32
64 75
88 94
39 99
22 50
67 61
76 9
70 84
63 0
VCM-GM-NNc

75. 71
Draw circles around the cubes to make as many tens as possible.
Write the number.
Tens
Therefore,
Units
Tens
Tens
Tens
Tens
Tens
Units
Units
Units
Units
Units
Tens
Therefore,
Units
Tens
Therefore,
Units
Tens
Therefore,
Units
Tens Units
Therefore,
2
2
8
8
VCM-GM-NNc

76. 72
T
T
T
T
T
U
U
U
U
U
Make as many groups of ten as possible and then write the number.
VCM-GM-NNc

77. 73
Match the pairs.
T
T
T
T
T
U
U
U
U
U
2
2
2
9
9
3
3
9
7
VCM-GM-NNc

78. 74
Match the pairs.
T
T
T
T
T
T
U
U
U
U
U
U
2
1
1
5
5
5
4
5
6
3
3
0
VCM-GM-NNc

79. 75
How many? Write the number.
21
VCM-GM-NNc

80. 76
How many? Write the number.
VCM-GM-NNc

81. RESERVEBANKOFINDIA
^maVr`[aOd©~¢H^maVr`[aOd©~¢H
Xgén`oXgén`o
xoxxooxxxo
xoxxooxxxo
10
1010RESERVEBANKOFINDIA
^maVr`[aOd©~¢H^maVr`[aOd©~¢H
Xgén`oXgén`o
xoxxooxxxo
xoxxooxxxo
10
1010
77
Howmany?Writethenumber.
VCM-GM-NNc

82. 78
Writethenumbersinsequence.
5
15
67
16
VCM-GM-NNc

83. 79
Writethenumbersinsequence.
38
8990
39
VCM-GM-NNc

84. 80
78911
8988
92
86
Writethemissinghousenumbers
VCM-GM-NNc

85. 81
Draw rods and cubes for each number. Circle the smaller number.
45 35
3553
8984
VCM-GM-NNc

86. 82
Draw rods and cubes for each number. Circle the bigger number.
62 26
4547
9848
VCM-GM-NNc

87. 83
1
2
3
4
5
6
7
8
9
10 2 0
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
3 0
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
4 0
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
5 0
2 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
11 3 1 4 1
6 0
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 1
7 0
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 1
8 0
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 1
9 0
8 2
8 3
8 4
8 5
8 6
8 7
8 8
8 9
8 1
100
9 9
9 2
9 3
9 4
9 5
9 6
9 7
9 8
9 1
1
2
3
4
5
6
7
8
9
10 2 0
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
3 0
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
4 0
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
5 0
2 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
11 3 1 4 1
6 0
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 1
7 0
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 1
8 0
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 1
9 0
8 2
8 3
8 4
8 5
8 6
8 7
8 8
8 9
8 1
100
9 9
9 2
9 3
9 4
9 5
9 6
9 7
9 8
9 1
Colour red all the numbers
which have 2 tens
Colour green all numbers
with 5 tens
Colour blue all numbers
with 8 tens
Colour yellow all numbers
with 0 tens
Colour red all the numbers
which have 2 units
Colour green all numbers
with 5 units
Colour blue all numbers
with 8 units
Colour yellow all numbers
with 0 units
VCM-GM-NNc

88. 1
2
3
4
5
6
7
8
9
10 2 0
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
3 0
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
4 0
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
5 0
2 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
11 3 1 4 1
6 0
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 1
7 0
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 1
8 0
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 1
9 0
8 2
8 3
8 4
8 5
8 6
8 7
8 8
8 9
8 1
100
9 9
9 2
9 3
9 4
9 5
9 6
9 7
9 8
9 1
1
2
3
4
5
6
7
8
9
10 2 0
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
3 0
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
4 0
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
5 0
2 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
11 3 1 4 1
6 0
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 1
7 0
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 1
8 0
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 1
9 0
8 2
8 3
8 4
8 5
8 6
8 7
8 8
8 9
8 1
100
9 9
9 2
9 3
9 4
9 5
9 6
9 7
9 8
9 1
Colo r red all numbers
greater than 45.
Colour green all numbers
less than 45.
u
Colour red all numbers
greater than 62.
Colour green all numbers
less than 62.
84
VCM-GM-NNc

89. 85
Seethenumber.Drawtherodsandcubes.Circlethesmallestnumber.
262536
405030
VCM-GM-NNc

90. 86
Circle the smallest number in each row.
72 95 59
20
668091
79 87 90
1222
VCM-GM-NNc

91. 87
Drawtherodsandcubes.Circlethelargestnumber.
262536
405030
VCM-GM-NNc

92. 88
Circle the largest number in each row.
77 55 59
31
938991
79 87 90
3220
VCM-GM-NNc

93. Writethenumbersinincreasingorder.
35
38
34
39
33
36
37
89
VCM-GM-NNc

94. 90
Write the numbers in increasing order.
32 33 35 34 36
10 12 9 11 13
81 80 79 78 77
95 98 97 99 96
51 50 52 54 53
68 67 66 70 69
38 39 40 41 42
VCM-GM-NNc

95. 91
Write the numbers in sequence.
41 42
51
65
47
60
22
49
18
52
66
48
61
23
50
19
VCM-GM-NNc

96. 92
Write the number that follows the given number.
54 39
70 88
21 19
VCM-GM-NNc

97. 93
Write the next number.
90
52
48
65
14
73
20
79
37
9
89
51
47
64
13
72
19
78
36
8
VCM-GM-NNc

98. 94
7 41
80
19 10
55
Each one picked one number card. Write the previous number on the slate.
VCM-GM-NNc

99. 95
Write the preceding number.
49
12
40
66
52
61
77
34
91
23
48
11
39
65
51
60
76
33
90
22
VCM-GM-NNc

100. 96
Draw as many plugs as the number being added. Write the sum.
6
10
10 5
6
7
8
9
10
10
10
10
4
5
5
7
8
3
2
9
1
Number First Part Second Part
VCM-GM-NNc

101. +
+
-
-
=
=
=
=
+
+
-
-
=
=
=
=
+
+
-
-
=
=
=
=
+
+
-
-
=
=
=
=
+
+
-
-
=
=
=
=
97
Draw plugs and complete 10. Look at the two parts and
write it as two additions and two subtractions.
+
+
-
-
=
=
=
=
6
6
6
6
4
4
4
4
10
10
10
10
VCM-GM-NNc

102. 7
7
7
7
3
3
3
3
10
10
10
10
10 100
98
Add plugs to make 10. Write it as two additions and two subtractions.
VCM-GM-NNc

103. 6
10
4
6
5
6
6
7
3
7
6
7
4
7
5
7
7
99
Draw as many plugs as the number which is added. Write the sum.
VCM-GM-NNc

104. 8
10
2
8
3
8
4
8
5
8
6
8
8
7
8
100
Draw and colour as many plugs as the number being added. Write the sum.
VCM-GM-NNc

105. 101
Draw and colour as many plugs as the number being added. Write the sum.
9
10
1
9
2
9
3
9
4
9
5
9
6
9
7
9
8
9
9
VCM-GM-NNc

106. 102
10
10
9
9
8
8
7
7
6
6
11
11
11
11
11
12
12
12
12
12
Number First Part Second Part
VCM-GM-NNc

107. 103
10
10
9
9
8
8
7
7
6
6
13
13
13
13
13
14
14
14
14
14
Number First Part Second Part
VCM-GM-NNc

108. 104
10
10
10
9
9
9
9
8
8
7
15
15
15
15
16
16
16
17
17
18
Number First Part Second Part
VCM-GM-NNc

109. What happened first? What later? Write the sequence of the pictures.
105
VCM-GM-NNc

110. Write the sequence of the pictures.
106
VCM-GM-NNc

111. Draw the missing pictures in the sequence.
107
VCM-GM-NNc

112. 108
1
2
2
3
3
Using the coins make each number
in different ways. Draw the pictures.
VCM-GM-NNc

113. 109
4
4
4
5
5
5
5
Using the coins make each number
in different ways. Draw the pictures.
VCM-GM-NNc

114. Using the coins make each number
in different ways. Draw the pictures.
110
6
6
6
6
6
VCM-GM-NNc