A Simple Homeschool Maths Activity You Can Do Today
You do not need a workbook, a printer or any preparation for this one. The whole activity is a single instruction: pick a number and build it three different ways. It takes five minutes, it works for almost any age with a different number, and it teaches the idea underneath most early arithmetic — that a number is a fixed amount, no matter how you arrange it.
What you need. Something countable (buttons, pasta, coins, Lego bricks), a piece of paper, and a pencil. That is all. If you have base-ten blocks, even better; if not, ten counters bundled with an elastic band make a perfectly good "ten".
How it runs with the number 12. First, count out twelve objects — your child counts them, not you. Second, build twelve as ten and two: a bundle of ten plus two loose. Third, build twelve as three groups of four, then talk about which way was fastest to count. Fourth, draw it: a line of twelve in one row and a line of twelve split into tens and ones, side by side. Then write the number sentence for each: 10 + 2 = 12, and 4 + 4 + 4 = 12.
Finish with two questions. "What is one more than twelve?" and "how many more would we need to make twenty?" Both can be answered by moving objects, and both are the kind of question that comes up constantly in later arithmetic. If your child answers by counting on their fingers, that is fine — the point is the thinking, not the speed.
Why this works so well. Three things are happening at once. Your child is meeting the same quantity in several forms (objects, a group of ten and two, three equal groups, a written numeral), which is what builds real number sense. They are using part-whole thinking — twelve is ten and two, or four and four and four — which is the foundation of both addition and subtraction. And they are seeing place value in their hands, not on a page: the bundle of ten is not a rule, it is a thing they made.
Change the number, not the activity. For a four-year-old, use 5 and build it as five fingers, five counters in a row, and five in a ten-frame. For a six-year-old, use 24 and ask for four ways, including two tens and four. For a seven- or eight-year-old, use 100 and build it with ten bundles of ten, then with place-value cards. Older children can be asked to write a fact family: 7 + 5 = 12, 5 + 7 = 12, 12 − 5 = 7, 12 − 7 = 5.
What to watch for. If your child counts the whole pile every time instead of starting from ten ("ten, eleven, twelve"), that is worth noticing — it means the ten-and-some structure is not yet doing any work, and it is the single most useful thing to practise next. If they write the number sentence the wrong way round, don't correct it in the moment; say the sentence out loud together instead ("ten add two equals twelve") and let the symbols follow the words next time.
Make it a regular five minutes. Once this is familiar, it becomes a warm-up rather than a lesson: a different number each day, three representations, one more and one less, done. On OjasaLearn, that same "same number, several ways" thinking is built into short adaptive practice that moves up only when the step is secure, with an AI tutor on hand for a second explanation and progress tracked so you can see exactly where the number sense is solid and where it still needs work.