Math // Multiplication & Division

Times tables

Recall and use multiplication and division facts for the 2, 5, and 10 multiplication tables

Ages
6 to 7
Type
Method
Builds on
2 topics
Leads to
3 topics
Standards
1 code

Quick check

Can the learner quickly recall times table facts from the 2s, 5s, and 10s — like '5 × 6 = 30' or '20 ÷ 2 = 10' — forwards and backwards?

Ask this to see whether the topic is secure.

Topic // Mastery

What mastery looks like

What a learner can do once this topic is secure.
  • Quickly answer 5 × 3 = 15 from memory
  • Quickly answer 20 ÷ 5 = 4 from memory
  • Recite the 2, 5, and 10 times tables fluently

Topic // Map

Where this fits

What to learn first and what this topic opens up, with the reason for each link. Required links come first.
  • RequiredMust come first
  • HelpfulHelps, but not essential

Before this

2 topics
  • Multiplication as repeated additionRequired

    Multiplication & Division // Ages 5 to 6

    Recalling times table facts requires understanding multiplication as repeated addition/grouping

  • Counting in 2sRequired

    Counting & Cardinality // Ages 5 to 7

    Times tables for 2, 5, 10 build on skip counting in 2s, 5s, 10s

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Times tables

Ages 6 to 7 // Method

Leads to

3 topics

Topic // Research-informed

Teaching notes

From the Marble Skill Taxonomy. These notes have not been validated in classrooms, so treat them as a starting point for your own judgement.

The approach

For ages 6–7 (UK Y2, US Grade 2–3): recall and USE multiplication AND division facts for the 2, 5 and 10 tables, out of order and as fact families, built on structure rather than rote chanting. Derive 10s from place value, 5s as exactly half of the matching 10s fact, and 2s as doubles, so a forgotten fact can be re-derived. Teach division facts alongside multiplication (5×4=20 → 20÷5=4, 20÷4=5) and use commutativity so one learned fact delivers its partner. Connect the three tables to each other and to odd/even (the 2s = even numbers).

Common misconceptions

  • Being able to chant the table from the start but not recall a fact out of order — mistaking the chant for fluency.
  • Knowing the multiplication fact but not the corresponding division fact.
  • Treating 5×4 and 4×5 as separate facts to memorise (not using commutativity).
  • Confusing 'the 2 times table' with 'counting in 2s starting anywhere' — or muddling doubling with adding 2.
  • Not connecting 5s to 10s (missing that 5s are half the 10s), so each table is learned in isolation.

Useful representations

  • Multiplication square / times-table grid (patterns and commutative symmetry)
  • Hundred square with 2s, 5s, 10s shaded (columns/even-number pattern)
  • Arrays for each fact (and the fact family)
  • Number line with equal jumps (bridge from skip counting)

Teaching practices

  • Build the three tables on structure, not rote: 10s from place value, 5s as exactly half of the matching 10s fact, 2s as doubles — so a forgotten fact can be re-derived.
  • Teach the DIVISION facts alongside the multiplication facts as fact families (5×4=20 → 20÷5=4, 20÷4=5), and use commutativity so learning one fact delivers its partner — halving the memory load.
  • Rehearse out of sequence and in mixed contexts once the count is secure, so recall is genuine fluency rather than a chant that only works from the start.
  • Exploit hundred-square and multiplication-square patterns (5s and 10s in columns, 2s in even columns) to make the facts a connected web — building on the skip-counting patterns already learned.
  • Connect the three tables to each other and to odd/even (the 2s table = even numbers) so the fact sets reinforce rather than compete.

Activities to try

  1. 1

    Shade the table: derive the 5s from the 10s

    Why it works: The 2, 5 and 10 tables are a connected web, not three separate lists: 10s come from place value, 5s are half the matching 10s, 2s are doubles — so any fact can be rebuilt if forgotten.

    1. On a multiplication grid or hundred square, shade the 10s column (10, 20, 30, 40, 50…) and read them as place-value facts: 10×3 = 3 tens = 30.
    2. Beside it, shade the 5s (5, 10, 15, 20, 25…) and line each 5s value up against the matching 10s value. On a multiplication grid this is the 5s column; on a hundred square the 5s fill two columns, the numbers ending in 5 and those ending in 0.
    3. Notice and say aloud that each 5s value sits exactly halfway to the 10s value: 5×4 = 20 is half of 10×4 = 40.
    4. Shade the 2s (on a multiplication grid, the 2s column; on a hundred square, every column ending in 0, 2, 4, 6 or 8) and state that the answers in the 2s table are even numbers, and that 2×n is the double of n.
    5. Pick one fact per table and write it as a derivation: '10×6 = 60, so 5×6 = 30 (half), and 2×6 = 12 (double of 6).'
  2. 2

    Four facts from one array: multiplication and its inverse

    Why it works: One array holds a whole fact family; using commutativity and the inverse means learning one fact delivers its partners, so division facts are not extra memorising.

    1. Build or look at an array for one fact, e.g. 5 rows of 4 (= 20).
    2. Write the two multiplication facts the array shows using commutativity: 5×4 = 20 and 4×5 = 20.
    3. Write the two division facts from the same array: 20÷5 = 4 and 20÷4 = 5.
    4. Repeat for several 2/5/10 facts, each time producing the full fact family of four facts from one picture.
    5. Say why 20÷5 = 4 'has to be' true given 5×4 = 20 (sharing 20 into 5 equal rows gives 4).
  3. 3

    Mixed quick-recall, out of order, with a derive-it fallback

    Why it works: Genuine fluency is recall out of order (including division), not a chant that only works from the start; when memory fails, a structured derivation recovers the fact.

    1. Once skip-counting is secure, answer facts asked OUT of sequence, mixing × and ÷: 5×3, 10×4, 2×7, then 20÷5, 30÷10, 14÷2.
    2. For each, notice whether you knew it instantly or had to count, and say which.
    3. On any fact you did not just know, use the derive-it route aloud: for a 5s fact, find the matching 10s fact and halve it; for a 2s fact, double the number.
    4. Keep skip-counting available as a backup check, not as the main method.

Topic // Standards

Curriculum standards

Codes for the curriculum statements this topic maps to. Each publisher owns its standard text.
The national curriculum in England: Key stages 1 and 2 framework document
Maths/Y2/MD/1

Math // Multiplication & Division

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