How to Help With Math Homework When It's Taught Differently Than You Learned It

To help with math homework that's taught differently than you learned it, use the method printed on the page, ask your child to teach it to you, and find the worked example from class before you show your own way. Schools teach place-value strategies first so children understand why the steps work, and the standard algorithm usually follows a grade or two later. This guide shows side-by-side examples, what to say when you're stuck, and when to email the teacher.

To help with math homework that's taught differently than you learned it, start by asking your child to teach you the method on the page, then work through it together using the class example as your guide. Hold off on showing "your way" until the homework is done, because two methods at once usually confuses more than it helps. Most of these strategies are the same math you already know, just written out so every step is visible.

Why is my child's math homework taught differently than how I learned it?

Many schools teach place-value strategies first so children understand why a calculation works, then add the standard algorithm (carrying, borrowing, long division) once that understanding is in place. The strategies aren't a replacement for the method you learned; they're the groundwork for it.

You can see this order in the Common Core math standards, which many states use. In 2nd grade, children are expected to add and subtract within 100 using strategies based on place value (standard 2.NBT.B.5). The 4th grade standards then expect children to add and subtract multi-digit numbers fluently using the standard algorithm (4.NBT.B.4).

Multiplication and division follow the same pattern:

OperationStrategies firstStandard algorithm expected
Addition and subtraction1st–2nd grade: making ten, place value, number lines4th grade (4.NBT.B.4)
Multiplication4th grade: area models, partial products (4.NBT.B.5)5th grade (5.NBT.B.5)
Division4th–5th grade: partial quotients, area models (4.NBT.B.6, 5.NBT.B.6)6th grade (6.NS.B.2)

The 5th grade standards ask for fluent multiplication with the standard algorithm, and the 6th grade standards do the same for long division. Your state, district, or curriculum may use a different order, so your child's teacher is the best guide to what's expected this year.

What do these math strategies actually look like?

Each strategy breaks a number into friendly pieces (tens and ones, or hundreds, tens and ones), works with the pieces, and puts them back together. Seeing one next to the method you learned is the fastest way to make sense of it.

Addition: 47 + 38

MethodWhat it looks likeAnswer
Make a tenTake 2 from 47 to make 38 into 40. Now it's 45 + 40.85
Place value (split into tens and ones)40 + 30 = 70. 7 + 8 = 15. 70 + 15.85
Open number lineStart at 47. Jump +30 to 77, +3 to 80, +5 to 85.85
Standard algorithm7 + 8 = 15: write 5, carry 1. 4 + 3 + 1 = 8.85

"Make a ten" is something children start in 1st grade. The 1st grade standard gives the example 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14 (1.OA.C.6). When you see a little "number bond" drawing on the page (a circle splitting 6 into 2 and 4), that's this idea.

Notice that the "carry the 1" in the standard algorithm is really the 10 from 7 + 8 = 15. The place-value method just writes that ten out in full.

Multiplication: 23 × 14

MethodWhat it looks likeAnswer
Area modelA rectangle split into 20 + 3 across and 10 + 4 down. The four boxes: 20 × 10 = 200, 3 × 10 = 30, 20 × 4 = 80, 3 × 4 = 12. Add them: 200 + 30 + 80 + 12.322
Partial productsThe same four products listed in a column, then added.322
Standard algorithm23 × 4 = 92. 23 × 10 = 230 (the "placeholder zero"). 92 + 230.322

The area model is the standard algorithm with nothing hidden. Its four boxes are exactly the pieces you multiply in the standard method: 200 + 30 is the 230 row, and 80 + 12 is the 92 row.

Division: 156 ÷ 12

MethodWhat it looks likeAnswer
Partial quotientsHow many 12s fit? Try 10: 12 × 10 = 120, and 156 − 120 = 36 left. Try 3: 12 × 3 = 36, and 36 − 36 = 0 left. Add the tries: 10 + 3.13
Standard long division12 goes into 15 once, remainder 3. Bring down the 6 to make 36. 12 goes into 36 three times.13

Partial quotients lets children use "easy" multiples like 10 and 5 instead of finding the exact digit every time. A child who takes smaller bites (say 5 + 5 + 3) still gets 13; it just takes more rows. Check: 12 × 13 = 156.

For more on each skill, see our pages on addition and subtraction practice, multiplication practice, and division practice.

How do I help without confusing my child?

Use the method on the page, let your child lead, and keep your own method for later. Here's an order that works at most kitchen tables:

  1. Ask your child to teach you. "Show me how your class does this one." Explaining a method is practice, and you'll quickly see whether they're stuck on the idea or just one step.
  2. Find the class example. Look for a worked problem in the notebook, the textbook lesson, a handout, or the class website. If the class sent home a family letter or parent guide for the unit, check that too.
  3. Work one problem together using that example. Point back to it at each step: "What did they do first here?"
  4. Let your child do the next one alone. Stay nearby, but keep your pencil down.
  5. Check with a method you trust, quietly. It's fine to check the answer your way. If it's wrong, ask your child to find the mistake in their method.

What should I say when I don't understand the method either?

Say so honestly and calmly. It's okay not to know a method; what matters is showing your child how to figure out something unfamiliar.

Try not to say things like "this new math makes no sense" or "your teacher is making this harder." Children pick up on frustration quickly, and it can make them anxious about the method they'll be tested on.

When should I email my child's teacher about math homework?

Email the teacher when your child is stuck on the same method for several nights, when homework regularly takes much longer than it should, or when you can't find any example to work from. Teachers generally want to know, because it tells them who needs more help with that lesson.

A short, specific note works best:

"Hi, Maya worked on the partial quotients problems tonight. She can do the first subtraction step but gets stuck choosing how many 12s to take. We couldn't find an example in her notebook. Is there a page or video you'd recommend? Thank you!"

A note written on the homework page works too: "Got stuck on step 2. We tried for 15 minutes." That's useful information, not a failure.

How do I know my child understands the method, not just the steps?

Your child understands a strategy when they can explain why each step works, use it on new numbers, and check their answer a second way. Following the steps on one familiar problem isn't quite the same thing.

Signs it's clicking:

  • They can tell you what each box in an area model stands for (for example, "that's 20 times 10").
  • They can solve a problem with different numbers without looking back at the example.
  • They catch their own mistake when an answer doesn't make sense ("23 × 14 can't be 92, that's way too small").
  • They start choosing friendly numbers on their own, such as jumping to the next ten on a number line.
  • Later, when the standard algorithm arrives, they can say why you "carry the 1."

If your child can follow along with help but not alone, that's normal. A few more problems of the same type, spread over a couple of days, usually helps more than one long session. Our guide on turning homework mistakes into targeted practice shows how to pick the right problems to repeat.

How Easy Twin can help

Easy Twin can give your child more practice on the same kind of problem once the homework is done. Easy Twin is an iPhone app for parents that scans a child's school worksheet and uses AI to create a "twin" worksheet that practices the same skills with new numbers, names, and wording, ready to print or solve interactively.

  • Same skill, same format. Each twin question practices the same skill as the original, in the same format and at the same difficulty, with different numbers. That gives your child a few fresh problems to try the class method on. See how the twin worksheet generator works.
  • Hints and solution steps. Every question comes with two hints (the first points to the idea, the second to a concrete first step, and neither gives away the answer) and two to five worked solution steps.
  • Practice on screen. In interactive practice, your child gets up to three tries per question, and answers aren't revealed until the summary screen.

The solution steps won't necessarily follow the exact strategy your child's class uses, so treat the class example as the guide and the twin as extra problems to practice it on. For the bigger picture of what children work on in a given year, see our guide to 4th grade practice.

Frequently asked questions

Why don't schools just teach the standard algorithm?

Most schools do teach it, usually after the strategies. In the Common Core standards, for example, the standard algorithm for addition and subtraction is expected in 4th grade, multiplication in 5th, and division in 6th, after earlier grades build place-value understanding.

Should I teach my child the way I learned math?

Wait until the homework is done and your child is comfortable with the class method. Showing two methods at once can confuse a child mid-lesson, but comparing them later can deepen understanding.

What is an area model in math?

An area model is a rectangle split into parts to show multiplication by place value. For 23 × 14, the four parts are 20 × 10, 3 × 10, 20 × 4 and 3 × 4, which add up to 322.

What are partial quotients?

Partial quotients is a division strategy where your child subtracts easy chunks of the divisor, like 10 groups at a time, and adds up the chunks at the end. For 156 ÷ 12, taking 10 twelves and then 3 twelves gives 13.

What if my child's answer is right but they didn't use the required method?

Praise the correct answer, then ask them to show it with the class method too. If the page asks for a specific strategy, the teacher is usually checking that strategy, not just the answer.

Make a twin of your child's worksheet

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