Tangyuan MathLesson 2 · 15 min Stage 1 · The big idea
Seeing it in rows and columns
An "array" — things lined up in equal rows — is the picture your child will keep using for every fact that follows. Build a few together today.
In this lesson your child will read a neat grid of dots as "3 rows of 4", connect it to 4 + 4 + 4 and 3 × 4, and learn to find the total by adding rows instead of counting one by one.
Talk it through
You don't need any objects today — egg cartons, window panes and muffin tins are already arrays. Point at one if you have it handy.
"Yesterday we made groups of crackers on plates. Groups don't have to be messy piles — we can line them up. When equal rows line up neatly, it's called an array. Rows go across, columns go up and down."
Point at an egg carton (or the demo below): "How many rows? How many in each row?" A carton of 12 is usually 2 rows of 6 — that's 2 × 6.
"Here's the smart way to count an array: don't count one by one — count the rows. 3 rows of 4 means 4, then 8, then 12. Each row adds the same amount, so you can jump."
Cover one row of an array with your hand and ask what's left. Cover two. Uncover. This "hide the rows" game makes your child add rows instead of recounting — which is exactly where multiplication lives.
Try it together
Your child is the pilot of the dot machine. The game: predict first, then change the array and count by rows to check. Start at 3 rows × 4, and try 5 × 2, 2 × 8, 4 × 4…
Quick check
Common mix-ups
Counting dots one by one. Not wrong — just slow. Nudge with "can you count a whole row at once?" Adding row by row is the skill.- "Is it 3 × 4 or 4 × 3?" Rows first or columns first can feel confusing. Good news: the total is the same either way — that's tomorrow's lesson, and it's a happy one. Today, just pick "rows × what's in a row".
- Uneven rows aren't arrays. If one row has 4 and another has 5, there's no multiplication shortcut. Equal rows is what makes arrays powerful.
Play it now
Another round of small facts. Encourage your child to picture the rows — maybe even draw a quick dot array in the air — before answering.