Why your child's math homework looks so different

By M. Mohd · October 13, 2026

If you've looked at a second or fourth grader's worksheet lately and thought, "That's not how I learned it," you're not alone. Most of us learned one fast method for each operation. Today's classrooms usually teach a few ways to see the same problem first, so kids understand why it works before they move to the shortcut.

The good news: these methods aren't harder. They're the same math, written out more slowly. Here are the four you're most likely to see, each with a worked example.

1. Making ten (addition, K–2)

Kids learn to break one number apart so the other one reaches 10, because adding to 10 is easy.

Worked example: 8 + 5

8 needs 2 more to make 10, so split 5 into 2 + 3.
8 + 2 = 10
10 + 3 = 13

So 8 + 5 = 13.

Try saying: "How many more does 8 need to get to 10? Where can we get that from?"

2. Counting up on a number line (subtraction, grades 1–3)

Instead of borrowing, kids often find the difference by jumping from the smaller number up to the bigger one, using friendly stops like 40 and 50.

Worked example: 52 − 37

Start at 37. Jump +3 to 40.
Jump +10 to 50.
Jump +2 to 52.
Add the jumps: 3 + 10 + 2 = 15

So 52 − 37 = 15.

You may also hear the word regrouping. It's the newer name for what many of us called "borrowing." In the standard method, you can't take 7 from 2, so you regroup one ten from the 5 tens: the ones become 12 and the tens become 4. Then 12 − 7 = 5 and 4 − 3 = 1, which gives 15 again.

Try saying: "What's the next friendly number after 37? How big was that jump?"

3. The area model (multiplication, grades 3–5)

The area model splits each number into tens and ones and puts them in a grid. Each box is one small, easy multiplication.

Worked example: 23 × 14

Split 23 into 20 + 3 and 14 into 10 + 4:

×	20	3
10	200	30
4	80	12

Add the four boxes: 200 + 30 + 80 + 12 = 322. So 23 × 14 = 322.

Try saying: "Which box is the biggest? Which is the smallest? Do they all add up?"

4. Partial products (multiplication, grades 4–5)

Partial products is the area model written as a list instead of a grid. It's the bridge to the standard algorithm.

Worked example: 23 × 14, written as a list

20 × 10 = 200
20 × 4 = 80
3 × 10 = 30
3 × 4 = 12

Total: 200 + 80 + 30 + 12 = 322. Same answer, same pieces.

Division often works the same way with partial quotients. For 156 ÷ 12, a child might take away 10 twelves (120), leaving 36, then 3 more twelves (36), leaving 0. 10 + 3 = 13, so 156 ÷ 12 = 13.

What to do when your way and their way clash

Ask them to teach you first. Explaining a method out loud is great practice, and you'll learn what the teacher expects.
Check the answer, not the method. If their answer is right, the method worked. Save your shortcut for a "here's another way" moment, not a correction.
Use the worksheet's words. "Regroup," "decompose," and "friendly numbers" will make more sense to your child than the terms we grew up with.

Not sure which answers need another look?

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