Adding Two Numbers

Combine two groups and count them all to find the total.

  • Define and explain Adding Two Numbers in your own words
  • Use key terms such as Sum accurately
  • Apply what you have learned to new examples and questions
  • Avoid the common mistakes learners make with this topic

Adding joins things together and subtracting takes them away. These two ideas are the engine of almost all early mathematics.

This lesson focuses on Adding Two Numbers: combine two groups and count them all to find the total.

Definition: Adding Two Numbers

Combine two groups and count them all to find the total.

Key ideas

Counting all

Put two groups together and count everything from the start to find the total. This works well with small numbers and real objects like beads or blocks.

Counting on and back

Start from the first number and count on for addition, or count back for subtraction. This is much quicker than counting everything from 1 each time.

Key term — Sum: The answer when you add numbers together. The sum of 4 and 6 is 10.

Worked example: Adding Two Numbers

7 + 5 = ?

12 — start at 7, then count on: 8, 9, 10, 11, 12.

Answer: 12 — start at 7, then count on: 8, 9, 10, 11, 12.

Common mistakes
  • Forgetting to count on from the bigger number Start at the larger number and count on the smaller jump to save steps and avoid slips.
  • Writing 3 + 4 as 34 The + sign means join the amounts into one total of 7, not write the digits side by side.

Practice

15 − 6 = ?
Count back 6 from 15.

9 — count back: 14, 13, 12, 11, 10, 9.

4 + ? = 10
Count on from 4 to 10.

6 — 4 + 6 = 10.

A shelf holds 9 books. 5 more are added. How many now?
Which operation joins them together?

14 — 9 + 5 = 14.

20 − 8 = ?
Partition 8 into 2 and 6 to bridge through 10.

12 — 20 − 2 = 18, then 18 − 6 = 12.

Quick check

Adding Two Numbers — quick check

Which of these best defines "Sum"?

The answer when you add numbers together. The sum of 4 and 6 is 10.

Write the fact family for 6, 9 and 15.

6 + 9 = 15, 9 + 6 = 15, 15 − 9 = 6, 15 − 6 = 9.
Key takeaways
  • Adding Two Numbers: combine two groups and count them all to find the total.
  • Counting all: Put two groups together and count everything from the start to find the total.
  • Difference: The answer when you subtract.
  • Watch out for: forgetting to count on from the bigger number