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Grade 3 · Learning areas

Numbers to 1000

Grade 3 is where the formal methods arrive. Adding in columns, the times tables to 10 × 10, and a clock with two hands — three things that become automatic this year and are used for the next decade.

What Alberta asks for by the end of Grade 3

The subject: Mathematics

  • Add and subtract numbers within 1000 using the standard written methods.
  • Recall multiplication facts to 10 × 10 and the division facts that go with them.
  • Recognize parallel, perpendicular and equal sides in 2‑D shapes.
  • Measure length using metric units.
  • Tell the time on analog and digital clocks.

The word recall is doing the same work it did in Grade 1. A child who works out 7 × 8 by adding eights has not met the outcome, however reliably they reach 56.

The words, first

These are the terms a teacher will use at a parent interview, defined before anything below uses them.

WordWhat it means
Standard algorithmThe column method for adding and subtracting, with carrying and borrowing. Alberta names it explicitly in Grade 3.
RegroupingTrading ten ones for a ten, or a ten for ten ones. Carrying and borrowing are the same idea written down.
Multiplication factA single product known outright: 7 × 8 = 56. There are 100 of them to 10 × 10, and commutativity halves the work.
CommutativeOrder does not change the answer: 4 × 6 = 6 × 4. True for multiplication and addition, false for subtraction and division.
ArrayA rectangle of rows and columns. The picture behind a multiplication fact, and the reason it is commutative.
Fact family3 × 4 = 12, 4 × 3 = 12, 12 ÷ 3 = 4, 12 ÷ 4 = 3. Learning division alongside multiplication rather than after it.
ParallelTwo lines always the same distance apart. They never meet, however far they are extended.
PerpendicularTwo lines meeting at a right angle.
Metric unitsMillimetres, centimetres, metres, kilometres. Each is ten, a hundred or a thousand times the last, which is the whole advantage of the system.
Analog / digitalA clock with hands, and a clock with numbers. Reading the first is harder and is the outcome.

4 rows of 6

6 rows of 4

Both are 24. Turning the array on its side is why 4 × 6 and 6 × 4 give the same answer, which halves the number of facts that have to be learnt — and it is a reason rather than a rule.

What to do at home

  • Drill the facts, briefly and often — Five minutes a day beats an hour on Sunday. Ask for an answer in about a second — anything slower is a fact not yet learnt, and knowing which ones is the useful part.
  • Show the array once — Six rows of four and four rows of six, in buttons. It halves the number of facts to learn and it is a reason rather than a rule.
  • Use an analog clock — A real one on a wall. “How long until dinner?” is a better question than a worksheet, because the answer matters.
  • Measure in millimetres too — A ruler has both. Noticing that ten millimetres make a centimetre is the metric system's whole trick.
  • Find parallel and perpendicular — Window frames, floor tiles, the edges of a book. Both words become obvious once they have been pointed at something real.
  • Do one column sum on paper — With them explaining each step out loud. If they cannot say why they carried, the method is being copied rather than understood.

Sheets you can print for this

The expectations above are paraphrased from Alberta Education's New K–6 curriculum fact sheets, which publish a snapshot of each grade rather than the complete program of studies. Alberta's full programs are at alberta.ca/curriculum.

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