Key Concepts
- Break apart addends in different ways.
- Addition of numbers using mental math.
Introduction
Break apart the addends to find the sum.

Break apart numbers
Addition of 2-digit number
Break apart the addends in different ways to find the sum.
Example 1:
Find 25 + 18.
Solution:
One way:
Break apart the second addend to make a 10.

Another way:
Break apart the second addend into tens and ones.

Add 25 + 10 = 35.
Next, 35 + 5 = 40.
Then, 40 + 3 = 43.
So, 25 + 18 = 43.
Example 2:
Find 37 + 14.
Solution:
One way:
Break apart the second addend to make a 10.

So, 37 + 14 = 51.
Another way:
Break apart the second addend into tens and ones.

Add 37 + 10 = 47.
Next, 47 + 3 = 50.
Then, 50 + 1 = 51.
So, 37 + 14 = 51.
Example 3:
Find 64 + 16.
Solution:
One way:
Break apart the second addend to make a 10.

So, 64 + 16 = 80.
Another way:
Break apart the second addend into tens and ones.

Add 64 + 10 = 74.
Then, 74 + 6 = 80.
So, 64 + 16 = 80.
Model question
Question:
Toby has 34 crayons. Paul has 58 crayons. How many crayons do they have in all? Solve the problem mentally. Show the steps of breaking apart numbers to add.
Answer:
Number of crayons with Toby = 34
Number of crayons with Paul = 58
The total crayons they have in all = 34 + 58
Find 34 + 58.
One way:
Break apart the second addend to make a 10.

34 + 58 = 92.
So, they have 92 crayons in all.
Another way:
Break apart the second addend into tens and ones.

Add 34 + 50 = 84.
Next, 84 + 6 = 90.
Then, 90 + 2 = 92.
34 + 58 = 92.
So, they have 92 crayons in all.
Activity
Break apart addends as tens and ones. Color the sheet as per the code.

Code:
80 + 9 = orange
60 + 7 = blue
40 + 8 = blue
70 + 5 = green
50 + 7 = green
30 + 6 = blue
Exercise
Question 1:
Find the sum of 24 and 48 using mental math.
Question 2:
Find the sum of 39 and 17 using mental math.
Question 3:
Find using mental math. Draw pictures of blocks if needed.

Question 4:
Kevin plants 27 trees. Ronald plants 44 trees. How many trees do they plant in all?
Question 5:
Oliver has 23 marbles. Jack has 28 marbles. How many marbles do they have in all?
Question 6:
19 students are playing football. 23 students are skating. How many students are there in all?
Question 7:
Add tens and ones to solve. One number makes both the equations true. Find the missing number.
Question 8:
Add tens and ones to solve. One number makes both the equations true. Find the missing number.
31 + ⎕ = 44
⎕ + 44 = 57
Question 9:
Find 16 + 62.
Question 10:
Find 33 + 29.
Concept Map

What we have learned
- Understand how to break apart addends in different ways to add.
- Add numbers using mental math by breaking apart the addends.

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