Let’s talk about compensation.

This is a strategy where you *manipulate numbers to* **create friendly numbers**. These friendly numbers are easier to add.

**Example 1: 87**** + 399**

- You take 1 from 87 and move it to 399
- Now you have 86 + 400
- 86 + 400 = 486

You’ve now made a simpler problem to solve.

**WHY DOES THIS STRATEGY WORK?**

Let’s look at some vocabulary words.

**addend + addend = sum**

When we took 1 away from one addend and moved it over to the other addend, we changed the expressions, but the value stayed the same.

This is a great time to take out those base 10 blocks and show students why this works.

**Example 2: ****128 + 597**

- You take 3 from 128 and give it to 597
- Now you have 125 + 600
- 125 + 600 = 725

**WHY BOTHER WITH THIS STRATEGY?**

Students sometimes make careless mistakes when faced with difficult addition problems. When students create friendly numbers, their accuracy and efficiency increases.

**USE A VARIETY OF EXAMPLES**

Use examples where students have to move more than 1 to make friendly numbers.

**Example 3: 348 + 570**

- You take 30 away from 348 and move it to 570
- Now you have 318 + 600
- 318 + 600 = 918

Use examples where students can apply the strategies to either addend.

**Example 4: 286 + 135**

- You take 14 away from 135 and move it to 286
- Now you have 300 + 121
- 300 + 121 = 421

**ANOTHER VISUAL**

You can use connecting cubes to show how the strategy of compensation works. Below is a very common way it is used. When one of the addends is 9, you can take 1 away from the other addend to make a ten.

**9 + 4 = 10 + 3 = 13**

** **

Again, a variety of practice problems should be used. Below is another example where students take 10 away from the second addend and move it over to the first addend.

**WHAT ABOUT SUBTRACTION?**

My next blog post will be about how you can use the compensation strategy in subtraction, so stay tuned!

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