Math KG : Adding numbers by using number pairs

Addition

Addition is bringing two or more numbers(or objects) together to make a new total

Example

Jim has 2 candies and Tim has 5 candies

both together has 2 + 5 which is 7 candies in total

we are having many methods to teach addition to the kids

Method 1 ( Using fingers )

Number of candies Jim has = 2
Number of candies Tim has = 5

2 is the smallest number , so leave two fingers

one finger goes with 6 and second finger goes with 7 ( since we are adding we have to move forward from 5)

hence total candies = 7

Method 2 (Using Number tracks)

Number of candies Jim has = 2
Number of candies Tim has = 5

here the number track

1 2 3 4 5 6 7 8 9 10 11

lets start with Jim who has 2 candies, so lets mark on 2

1 2 3 4 5 6 7 8 9 10 11

now lets go to Tim who has 5 candies, so lets move 5 steps forward

1 2 3 4 5 6 7 8 9 10 11

we reached on 7.

Hence total candies = 7

Making 10

Example : 7 + 6

lets consider, we have 7 RED candies and 6 GREEN candies

0 0 0 0 0 0 0 0 0 0 0 0 0

now lets place 10 black candies below this

0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0

to match this black candies with the above row, 

0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0

so we can write this 7 + 6 = 7 + 3 + 3 = 10 + 3

Question 1

here we go,

first we make the dotted box into 10, that is

now we have to reach 10 from 5

so to reach 10 from 5 we need 5 more steps ahead

now lets fill the last circle. here we have to reach 11 from 5

so to reach 11 from 5 we need 6 more steps ahead

11 + 5 = 16
6 + 10 =16