class VI (integers)

Objective: Addition of two numbersexperimentally through paper cutting and pasting.

Previous knowledge: On addition of a positive integer to its negative integer gets nullified (or zero).

Procedure:

step 1: Firstly cut 25 unit squares which are kept unshaded and call them positive squares.

step 2: Then cut 25 unit squares which are kept shaded and call them negative squares.

step 3: case 1: Now, take (+8) + (+7)

we take 8 positive squares and 7 positive squares

count them (+8) + (+7) = 15

step 4: Case 2: now take,(-4) + (-5)

we take 4 negative squares and 5 negative squares

count them (-4) + (-5) = -9

Step 5: Case 3:Now take (+6) + (-5)

we take 6 positive squares and 5 negative squares

Count them (+6) + (-5) =1

Step 6: Case 4: Now take (-5) +(3)

we take 5 negative squares and 3 positive squares

Count them (-5) + (+3) = -2

Result:(i) If both the integers are positive then we add and the result is an positive integer.

(ii) If both the integers are negative then we add and the result is an negative integer.

(iii) If positive integer is greater than the negative integer then we subtract and the result is an positive integer.

(1v) If negative integer is greater than positive integer then we subract and the result is an negativ integer.

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Assignment: -8 + 6 =

-4 - 5 =