K-5 friendly lesson
One small step at a time.Read the idea, try the activity, and celebrate each win as you go.

Add in Any Order (The Turnaround Rule!)

๐Ÿ”„ Did you know that addition has a cool magic trick? 3 + 5 is the same as 5 + 3! This is the "turnaround rule," and it means you have to memorize half as many addition facts!

Do this: Read the concept below, then try the quiz or activity.

Lesson 7 of 180

Concept

The "Add in Any Order" rule is officially called the Commutative Property, but we can call it the Turnaround Rule! It means you can swap the numbers in an addition problem and the answer stays the same.

๐ŸŽฏ Seeing the Turnaround:
Imagine you have 2 red blocks ๐ŸŸฅ๐ŸŸฅ and 4 blue blocks ๐ŸŸฆ๐ŸŸฆ๐ŸŸฆ๐ŸŸฆ.
*   2 + 4: Start with the red blocks, then add the blue ones. You have 6 blocks total.
*   4 + 2: Now, start with the blue blocks, then add the red ones. You still have 6 blocks total!

The total doesn't change, no matter which group you start with. 2 + 4 = 6 is the same as 4 + 2 = 6

๐Ÿ’ก Why this is a SUPERPOWER: If you know that 8 + 2 = 10, then you automatically know that 2 + 8 = 10! You learn two facts for the price of one!

When you see a problem like 3 + 7, you can turn it around in your head to 7 + 3. It's often easier to start with the bigger number and count on.

Try it

Let's practice our new magic trick!

Instructions: For each addition sentence, write the "turnaround" fact that gives the same answer.

1. Sentence: 6 + 1 = 7
    *   Turnaround Fact: ___ + ___ = 7
2. Sentence: 2 + 8 = 10
    *   Turnaround Fact: ___ + ___ = 10
3. Sentence: 4 + 3 = 7
    *   Turnaround Fact: ___ + ___ = 7
4. Sentence: 9 + 0 = 9
    *   Turnaround Fact: ___ + ___ = 9
5. Sentence: 5 + 4 = 9
    *   Turnaround Fact: ___ + ___ = 9

๐Ÿ† Detective Challenge: Look at the two problems below. Are they part of the same turnaround family? Circle Yes or No.

6. 3 + 6 = 9 and 6 + 3 = 9
    *   Yes / No
7. 4 + 5 = 9 and 3 + 6 = 9
    *   Yes / No (Tricky! The answer is the same, but are the parts the same?)

8. Draw a picture to prove that 2 + 5 is the same as 5 + 2.