CLASS 3 MATHEMATICS 2021-22

28/FEBRUARY TO 05/MARCH 2022
CHAPTER 11 : MEASUREMENT OF LENGTH

KILOMETRE, METRE AND CENTIMETRE

Know these things

Ø  “Metre” is the standard unit of length.

Ø  “m” is the short form of metre.

Ø  “cm” is the short form of centimetre.

Ø  “Centimetre” is the smallest unit of length.

Ø  “Kilometre” is the biggest unit of length.

Ø  “km” is the short form of kilometre.

Ø  1 m = 100 cm

Ø  1 km = 1000 m 

Rule 1: To convert metres into centimeters, we multiply the number of metre by 100.

For example,

i) Convert 1 m into centimetre.

Solution: We know that 1 m = 100 cm

Therefore, 3 m = 3 x 100 cm

                         = 300 cm 

Rule 2: To convert ‘metres and centimetres’ into centimetres, we multiply the number of metres by 100 and add to it the number of centimetres.

For example,

i) Convert 3 m 32 cm into centimetre.

Solution: We know that 1 m = 100 cm

3 m 32 cm     = 3 m + 32 cm

                                 = 3 x 100 cm + 32 cm

                                 = 300 cm + 32 cm

                                 = 332 cm

Therefore, 3 m 32 cm = 332 cm  

Assignment: Do the following exercises(page no. 156)
1. Convert the following into centimetres:
a) 4 m                b) 5 m            c) 7 m                d) 13 m
e) 19 m               f) 27 m            g) 59 m            h) 96 m

2. Convert the following into centimetres:
a) 2 m 15 cm        b) 5 m 60 cm            c) 7 m 60 cm              d) 11 m 55 cm 
e) 13 m 96 cm      f) 17 m 75 cm           g) 32 m 65 cm            h) 55 m 90 cm 
i) 75 m 15 cm        j) 79 m 9 cm             k) 97 m 97 cm            l) 83 m 75 cm

3. Do the exercise 11A No. 3, 4 and 5. (page no. 156)

21/FEBRUARY TO 26/FEBRUARY 2022
CHAPTER 13






14/FEBRUARY TO 19/FEBRUARY 2022
CHAPTER 12 B and C : MEASUREMENT OF WEIGHT

07/FEBRUARY/2022 to 12/FEBRUARY/2022

CHAPTER 12 A : MEASUREMENT OF WEIGHT
Assignment: Do the exercise 12 A, Questions 1 to 31. (page no. 170) in your mathematics OCB.

CHAPTER 11 : MEASUREMENT OF LENGTH
WORD PROBLEMS
Assignment: Do the exercise 11E, Questions 13 to 32. (page no. 166 and 167) in your mathematics OCB.

02/FEBRUARY/2022
CHAPTER 11 : MEASUREMENT OF LENGTH
WORD PROBLEMS
Assignment: Do the exercise 11 E, Questions 1 to 12. (page no. 166) in your mathematics OCB .

31/JANUARY/2022
CHAPTER 11 : MEASUREMENT OF LENGTH
Assignment: Do the exercise 11 D, Questions 16 to 35. (page no. 163) in your mathematics OCB .

24/JANUARY/2022
CHAPTER 11 : MEASUREMENT OF LENGTH
Assignment: 
 Do the exercise 11 D, Questions 1 to 15. (page no. 163) in your mathematics OCB .

19/JANUARY/2022
CHAPTER 11 : MEASUREMENT OF LENGTH
Assignment: Do the exercise 11 C. (page no. 160) in your mathematics OCB .

17/JANUARY/2022
CHAPTER 11 : MEASUREMENT OF LENGTH
Assignment: Do the exercise 11B. (page no. 158) in your mathematics OCB .

12/JANUARY/2022
CHAPTER 11 : MEASUREMENT OF LENGTH
Conversion of metres into kilometres and metres.
a) Convert 2618 metres into kilometres and metres.
Solution:
We know that 1000 m = 1 km.
2618 m = 2000 m + 618 m
             = 2 x 1000 m + 618 m
             = 2 km + 618 m
             = 2 km 618 m
Therefore, 2618 m = 2 km 618 m

Conversion of metres into kilometres and metres(short-cut method).
a) Convert 2618 metres into kilometres and metres.
Solution:
We know that 1000 m = 1 km.
2618 m = 2618 m  ÷  1000 
             = 2 km + 618 m
             = 2 km 618 m

Assignment: Do the exercise 11A No. 6, 7 and 8. (page no. 156) in your mathematics OCB .

10/JANUARY/2022
CHAPTER 11 : MEASUREMENT OF LENGTH
Conversion of 'cm' into 'm' and 'cm'.
a) Convert 415 cm into metres and centimetres.
Solution:
We know that 100 cm = 1 m
415 cm     = 400 cm + 15 cm
                 = 4 x 100 cm + 15 cm
                = 4 m + 15 cm
                = 4 m 15 cm

Conversion of 'km' into 'm'
a) Convert 9 km into metres.
We know that 1 km = 1000 m.
9 km = 9 x 1000 m
         = 9000 m.
Therefore, 9 km = 9000 m

Assignment: Do the exercise 11A No. 3, 4 and 5. (page no. 156) in your mathematics OCB .

22/DECEMBER/2021
CHAPTER 11 : MEASUREMENT OF LENGTH
KILOMETRE, METRE AND CENTIMETRE
Know these things
Ø  “Metre” is the standard unit of length.

Ø  “m” is the short form of metre.

Ø  “cm” is the short form of centimetre.

Ø  “Centimetre” is the smallest unit of length.

Ø  “Kilometre” is the biggest unit of length.

Ø  “km” is the short form of kilometre.

Ø  1 m = 100 cm

Ø  1 km = 1000 m 

Rule 1: To convert metres into centimetres, we multiply the number of metre by 100.

For example,

i) Convert 1 m into centimetre.

Solution: We know that 1 m = 100 cm

Therefore, 3 m = 3 x 100 cm

                         = 300 cm 

Rule 2: To convert ‘metres and centimetres’ into centimetres, we multiply the number of metres by 100 and add to it the number of centimetres.

For example,

i) Convert 3 m 32 cm into centimetre.

Solution: We know that 1 m = 100 cm

3 m 32 cm     = 3 m + 32 cm

                                 = 3 x 100 cm + 32 cm

                                 = 300 cm + 32 cm

                                 = 332 cm

Therefore, 3 m 32 cm = 332 cm  

Assignment: Do the following exercises(page no. 156)
1. Convert the following into centimetres:
a) 4 m                b) 5 m            c) 7 m                d) 13 m
e) 19 m               f) 27 m            g) 59 m            h) 96 m

2. Convert the following into centimetres:
a) 2 m 15 cm        b) 5 m 60 cm            c) 7 m 60 cm              d) 11 m 55 cm 
e) 13 m 96 cm      f) 17 m 75 cm           g) 32 m 65 cm            h) 55 m 90 cm 
i) 75 m 15 cm        j) 79 m 9 cm             k) 97 m 97 cm            l) 83 m 75 cm

08/DECEMBER/2021
CHAPTER 10 MONEY
PROBLEMS ON ADDITION AND SUBTRACTION OF MONEY
MONEY : MULTIPLICATION AND DIVISION
A. We multiply the same as we do for the ordinary numbers. However, in the product, we put the dot just before the last 2 digits to express the product in rupees.
Assignment:- Do Ex-10 D No. 13 to 23 and Ex-10 E, No.9 to 16 in your Mathematics-OCB.

06/DECEMBER/2021
CHAPTER 10 MONEY
MONEY-ADDITION AND SUBTRACTION

Assignment:- Do Ex-10B, No. 16 to 21 and Ex- 10C, No. 20 to 31 in your Mathematics-OCB.

01/DECEMBER/2021
CHAPTER 10 MONEY
Now watch this video for your better understanding:-
CONVERSIONS
Assignment:- Do Ex-10 A, page No.143,144 ,No. 1 to 10 in your Mathematics-OCB.

29/NOVEMBER/2021
CHAPTER 9 ROMAN NUMERALS
Now watch this video for your better understanding:-
Roman Numbers
Roman also invented different symbols to represent numbers. These symbols are called Roman numbers. In Roman numbers there are 7 symbols to represent different numbers.

There are no special symbols for 2, 3, 4, 5, 6,1, 8 and 9 and there is no zero in Roman number system.
Now, let's write the Roman numbers from 1 to 10.

In this class, we will make the numbers using only four symbols I, V, X and L.

Conversion of Roman numerals into Hindu-Arabic numerals
Rule 1: The symbols I and X can be repeated maximum three times. The repetition of these symbols means addition.
For example,
II =1 + 1 = 2,
III = 1 + 1 + 1 = 3,
XX = 10 + 10 = 20,
XXX = 10 + 10 + 10 = 30, etc.
The symbol V is never be repeated.

Rule 2 : If smaller symbol comes before a larger one, the value of the numeral is the difference of the values of the symbols.
For example,
IV = 5 - 1 = 4,
IX = 10 - 1 =9,
XL = 50 - 10 = 40

Rule 3 : If smaller symbol comes after a larger one, the value of the numeral is the addition of the values of the symbols.
For example,
VI = 5 + 1 = 6,
XIII = 10 + 1 + 1 + 1 = 13
XXVI = 10 + 10 + 5 + 1 = 26,
LVIII = 50 + 5 + 1 + 1 + 1 = 58
Assignment:- Do Ex-9 A, page No. 117,118, No. 1 to 4 in the text book.

24/NOVEMBER/2021
CHAPTER 8 FRACTIONS 
Assignment:- Do Ex- 8 D, page No. 120 to 122 in the text book

22/NOVEMBER/2021
CHAPTER 8 FRACTIONS
Assignment:- Do Ex- 8 B, page No. 109 in the text book and Ex- 8 C, page No.115,116 No. 1 to 9 in your Mathematics-OCB.

17/NOVEMBER/2021
CHAPTER 8 FRACTIONS 
Now watch this video for your better understanding:-


MEANING OF A FRACTION


In the above sentences, one-halfone-third and one-fourth are special terms used.
All these terms that mean equal parts of a thing are called fractions.


FRACTIONAL NUMBERS
Halves

1. Two equal parts:
a. Mansi's mother cut an apple into two equal parts and gave one part to Mansi and other part to her brother Kanav.
Two equal parts are called halves. Each equal part is called one-half. We write one-half as 1 / 2.

b. Take a paper. Fold it into two parts of same size and shade one of the parts. We have shaded 1 out of 2 equal parts.

We can say that we have shaded one-half or— . One-half means 1 part out of 2 equal parts.
It is written as 1 / 2.
One-half of each picture is coloured.






Thirds
2. Three equal parts:
a. Take a piece of paper. Fold it into 3 equal parts and shade one of the parts.

Three equal parts are called thirds. Each equal part is called one-third. It is written as 1 / 3 .


b. In the given pictures alongside, one-third of each shape is coloured.
1 / 3 means 1 part out of 3 equal parts.


Fourths
3. Four equal parts:
a. Bipan's mother cut the pizza into four equal parts for Bipan and his three friends. When we divide a thing into 4 equal parts, we say that each part is one-fourth or one-quarter of whole thing.
This is also written as 1 / 4.


b. Take a piece of paper. Fold it into 2 equal parts. Fold the paper again into half. Unfold the paper and shade one part.


The shaded part represents one-fourth of the whole. One-fourth means 1 part out of 4 equal parts.
It is written as 1 / 4 .
One-fourth of each shape is coloured.


MORE THAN FOUR EQUAL PARTS
Just as we say one-half, one-third, one-fourth and write these as 1 / 2, 1 / 3 and 1 / 4 respectively. Similarly, we can name other equal parts as below :
a. When a thing is divided into five equal parts, each part is called one-fifth and written as 1 / 5.


b. When a thing is divided into six equal parts, each part is called one-sixth and written as 1 / 6 .


c. When a thing is divided into seven equal parts, each part is called one-seventh and written as 1 / 7.


Similarly, we have one-eighth 1 / 8, one-ninth 1 / 9, one-tenth 1 / 10 and so on.




MORE THAN ONE OUT OF MANY EQUAL PARTS
a. In the figure shown 2 out of 3 equal parts are shaded so the fraction for the shaded portion is two-thirds or 2 / 3.


b. In the figure shown 3 out of 5 equal parts are shaded so the fraction for the shaded portion is three-fifths or 3 / 5.


The following pictures show other fractions. These will help us to understand the meaning of fractions.


FRACTION OF A GROUP
Fraction can also be used to name parts of a group or a collection.




NUMERATOR AND DENOMINATOR
In the fraction 3 / 5, 3 is called numerator and 5 is called denominator.


The denominator tells the total number of parts of whole and the numerator tells the number of parts taken.

FRACTION AS A DIVISION

Look at the following pictures:

Assignment:- Do Ex- 8A, No. 11to 19, page No. 106 to 108 in the text book.

03/NOVEMBER/2021
CHAPTER 7 DIVISION
Now watch these videos for your better understanding:-


Holiday Homework:- Do Ex- 7J, No. 17 to 33 , page No. 95 and 96 in your Mathematics-OCB.

01/NOVEMBER/2021
CHAPTER 7 DIVISION
DIVIDING BY ANY TWO - DIGIT NUMBER








WORD PROBLEMS ON DIVISION



Assignment:- Do Ex- 7I, No. 11 to 20 and 7J, No. 1 to 16 , page No. 95 in your Mathematics-OCB.

27/OCTOBER/2021
CHAPTER 7 DIVISION
Now watch these videos for your better understanding:-






DIVISION BY 10,100



DIVIDING BY ANY TWO - DIGIT NUMBER







Assignment:- Do Ex- 7G, No. 16 to 32 and Ex- 7H, No. 11 to 20 in your Mathematics-OCB.

25/OCTOBER/2021
CHAPTER 7 DIVISION
Now watch this video for your better understanding:-
DIVISION WITH REMAINDER
24 biscuits are to be distributed among the 5 children.











DIVISION WITH REGROUPING (WITH OR WITHOUT REMAINDER)







Assignment:- Do Ex- 7 E, No. 11 to 28 and Ex- 7 F, No. 20 to 36 in your Mathematics-OCB.

20/OCTOBER/2021
CHAPTER 7 DIVISION
Now watch this video for your better understanding:-

PROPERTIES OF DIVISION




LONG DIVISION WITH NO REMAINDER

Division of a 2-digit number by a 1-digit number.




DIVISION OF A 3 - DIGIT NUMBER BY A 1 - DIGIT NUMBER





Assignment:- Do Ex- 7B,7C page No. 79 and 80 in the text book and Ex- 7D page No. 83 in the Mathematics-OCB.

18/OCTOBER/2021
CHAPTER 7 DIVISION
Now watch this video for your better understanding:-


DIVISION BY EQUAL SHARING
Bishal has 20 chocolates. He wants to distribute these among his 5 friends equally. He starts giving one chocolate to each friend, then again he gives one more chocolate to each friend and then finds that he can give 4 chocolates to each friend and no chocolate was left.

20 chocolates distributed equally among 5 children, that is, 4 chocolates for each child.

Class Activity:
Suppose there are 50 children in a class.
1. Teacher asks the students to form groups of 5. How many groups of 5 are formed ?
2. Next ask them to form groups of 10. The students discover there are .............groups.

Equal grouping:



MULTIPLICATION AND DIVISION FACTS

LONG DIVISION METHOD
To divide 12 by 3, we can use another method known as long division method.

The numerals are arranged in the form.

From multiplication table, we can find that the quotient is 4. In the long division method, the quotient is expressed like :


Assignment:- Do Ex-7A ,No. 1to5, page No. 77 and 78 in your Mathematics-OCB.

06/OCTOBER/2021
CHAPTER 6 MULTIPLICATION
WORD PROBLEMS
Now watch this video for your better understanding:-
Assignment:- Do Ex- 6E, page No. 74, 75 No. 11 to 18 in your Mathematics-OCB.

04/OCTOBER/2021
CHAPTER 6 MULTIPLICATION

PROPERTIES OF MULTIPLICATION



MULTIPLICATION BY A TWO - DIGIT NUMBER




Now watch this video for your better understanding:-
Assignment:- Do Ex- 6C , page No. 70 and 71 in the text book and Ex- 6D, page No. 72 No. 1 to 8 in the Mathematics OCB and No. 9 to 20, page No.73 in the text book.

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