MathGrade 3ages 8–9
🍪 Times as groups
A child who answers 4 × 3 with 7 is treating the times sign like a plus sign — because both look like "combine two numbers," and only one of them means "repeat a group."
Try this lesson freeNo card needed. The first lesson is free.
Download on the App StoreWhat your child learns
- Times = how many groups, and the same number in each.
- 4 × 3 = 3 + 3 + 3 + 3 = 12.
- It is not 4 + 3 = 7. Plus is just two different piles.
- 6 × 0 = 0. Six empty groups are still zero.
The mistake most kids make here
Adding the two numbers instead of equal groups.
Try one question
4 × 3
- 7
- 12
- 43
Answer
12 — Yes. Four groups, three in each: 3+3+3+3.
How Maya teaches it
Your child tells Maya what they did in class. She teaches this topic at her desk, asks questions with tappable answers, and when the answer is wrong she explains why that answer was tempting instead of saying “try again”. She remembers what did not land and comes back to it.
Your child has it when they can: 4 × 3 = 12, not 7.
How to help at home
Multiplication is a genuinely different operation from addition, not a faster version of it, but the two numbers sitting side by side can look interchangeable to a child who hasn't yet built the groups by hand.
Use small objects — buttons or coins. For 4 × 3, make four separate piles with three objects in each, then count everything together: 3, 6, 9, 12. Compare that to what 4 + 3 actually looks like — just two piles, one of four and one of three, pushed together to make 7.
When 4 × 3 comes out as 7, ask: "is this asking for two piles, or four piles that all have three in them?" Having your child physically build both versions side by side makes the difference visible instead of abstract.
A sign they've got it: they can explain, before calculating, that 6 × 0 must be zero — six empty groups are still nothing — without needing to count anything out.
Questions parents ask
- Why does my child add instead of multiply?
- Addition is usually the more practiced operation, so when a child sees two numbers next to a symbol they're less sure about, they may default to adding. Building the actual groups by hand — not just writing the numbers — breaks that habit.
- What's the best way to explain what multiplication means?
- A number of equal groups, with a certain amount in each. 4 × 3 means four groups of three, not "four and three combined." Physically laying out the groups makes this concrete.
- Why is 6 × 0 equal to zero, not six?
- Six groups, each with nothing in them, still add up to nothing. It can help to actually draw six empty circles and count what's inside: zero.
- How does Maya teach multiplication as equal groups?
- Maya has the child build the groups themselves before writing the multiplication fact, so 4 × 3 is anchored to four real piles of three rather than to two numbers combined.
No card needed. The first lesson is free.
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