Class 06 To add decimal numbers by activity method

 ACTIVITY - DECIMALS

Objective: 

To add decimal numbers by activity method.

Materials Required: 

Squared paper, colour pencils, geometry box, etc.

Procedure: 

Let us add 0.21, 0-36 and 0.14

0.21 = 𝟐𝟏/𝟏𝟎𝟎 , 0.36 = 𝟑𝟔/𝟏𝟎𝟎 , 0.14= 𝟏𝟒/𝟏𝟎𝟎

Take a 10x10 square grid and shade its 21 squares using red colour to represent 0.21

On the same square grid, shade 36 more squares using green colour to represent 0.36

On the same square grid, shade 14 more squares using blue colour to represent 0.14. 

Total number of shaded squares = 71 Or the shaded area represents 0.71 

So, 0.21 +0.36 + 0.14 = 0.71

Do Yourself: 

By activity method, add the following decimal numbers:

0.53 and 0.15 2. 0.29 and 0.36 3. 0.4 and 0.04 4. 0.09, 0.34 and 0.52 

5. 0.63, 0.07 and 0.12

Class 06 To find the equivalent fractions of a given fraction

 ACTIVITY FRACTIONS

Objective: 

To find the equivalent fractions of a given fraction.

Materials Required: 

Some thick sheets of paper (or cardboard), scissors, sketch pen, pencil, etc.

Procedure: 

I. To find some equivalent fractions of 𝟏/𝟑

On a thick sheet of paper, draw four rectangles of equal dimensions.

2. Divide the rectangle (i) into three equal parts, the rectangle (ii) into 6 equal parts, the rectangle (iii) into 9 equal parts and the rectangle (iv) into 12 equal parts as shown below.

ACTIVITY FRACTIONS

3. Shade 2 parts, 4 parts, 6 parts and 8 parts of rectangles (1), (ii), (iii) and (iv) respectively. The shaded parts in rectangles (i), (ii), (iii) and (iv) show  𝟏/𝟑 , 𝟐/𝟔,𝟑/𝟗 and 𝟒/(𝟏𝟐 ) respectively. 

4. Using scissors, cut out the shaded part of each rectangle and compare the strips by putting one over other. You will find that all the strips are of same dimensions.

 Thus, we can say that = 𝟐/𝟓 = 𝟒/𝟏𝟎=𝟔/𝟏𝟓 = 𝟖/(𝟐𝟎 )

Do Yourself: 

Using the activity method, find four equivalent fractions of each of the following fractions:1. (  𝟏)/𝟒 2.   𝟐/𝟑 3.   𝟓/𝟔 4.   𝟓/𝟕

Class 06 Subtracting integers on the number line

 Class 06 Subtracting integers on the number line
ACTIVITY INTEGERS

Objective: 

Subtracting integers on the number line.

Materials Required: Some sheets of paper, pen, sketch pen, pencil, etc.

Procedure:

When both the integers are positive .Let us find (+7)-(+ 4).

Using sketch pen draw a number line as shown below:

2. Start from 0 and move 7 steps towards right to reach at 7.

3. Since, (+ 7)-(+ 4) is same as (+ 7) + (-4), so from 7 move 4 steps towards left to reach at  Thus, (+ 7)-(+ 4) = + 3 = 3.

ACTIVITY INTEGERS

II. When an integer -is positive and another is negative.

Let us find (-8) -  (+5)

Draw a number line as shown below:

|     |   |     |    |    |   |   |   |   |   |   |    |   |   |   |   |   |   |    |   |

     -14 -13-12-11-10 -9 -8 -7 -6 -5 -4 -3  -2 -1   0  1   2  3   4    5  6

2. Start from 0 and 8 steps towards left to reach at -8.

 3. Since, (-8-) - (+ 5) is same as (-8) + (-5), so from 8 move 5 steps towards left to reach at -13. Thus, (-8)-(+5) =-13.

ACTIVITY INTEGERS

III. When both the integers are negative. Let us find (-9)-(-3)

Draw a number line as shown below:

2. Start from 0 and move 9 steps towards left to reach at -9

3. Since, (-9)-(-3) is same as (-9) + (+3), so from-9, move 3 steps towards right to reach at -6. Thus, (-9)-(-3) = -6.

Do Yourself :

Using the number line, find:1. (+ 9)-(+5) 2. (+12)-(+8) 3. (+ 10)-(-6) 4. (-11)-(+2) 5. (-5)-(-4) 6. (-10)-(-7)

Class 06 Adding integers on the number line

 ACTIVITY INTEGERS

Objective: 

Adding integers on the number line

Materials Required :

Some sheets of paper, pen sketch pen, pencil, etc.,

Procedure :

To add two positive integers (say +5 and +8)

Using sketch pen, draw a number line as shown below:

   |     |      |    |     |     |     |     |    |    |    |    |    |     |    |    |    |     |    |

-3   -2   -1   0    1    2    3   4    5  6   7   8   9  10 11 12 13 14 15

Start from 0 and move 5 steps towards right to reach at 5.

3. From 5, move 8 steps towards right to reach at 13.  Thus, (+ 5) + (+ 8) = + 13 or 13.

ACTIVITY INTEGERS

II. To add a positive integer and a negative integer (say + 4 and-7)

Draw a number line as shown below:

2. Start from 0 and move 4 steps towards right to reach at 4.

3. From 4, move 7 steps towards left to reach at -3. Thus, 4 + (-7) =-3.

ACTIVITY INTEGERS

III. To add two negative integers (say -3 & -5)

To Draw add two a number negative line integers as shown (say below-3: and-5)

2. Start from 0 and move 3 steps towards left to reach at -3.

 3. From-3, move 5 steps towards left to reach at-8. Thus, (-3) + (-5) = -8.

Do Yourself : 

Using the number line add:

(+ 2) + (+ 8) 2.-4 + (+6) 3. (+ 8) + (-7) 4. (+6) + (-2) 5. (-5) + (-7) 

6. (-8) + (-2) + (+4)