### Planning and Activities

**Day 1**

Revise tables facts using a partially completed multiplication grid. Revise multiplication and division as inverses by exploring all four number sentences to link 3, 7 and 21. Practise recall using the ‘Number Dials’ ITP.

**Group Activities: T with Y3**

Y3 -- Ring certain times table numbers on a 1–50 grid and say the associated division fact.

-- Play division facts bingo for the 2, 3, 4, 5, 8 and 10 times tables.

Y4 -- Complete a multiplication grid up to 12 × 12.

-- Explore the calculations on a 12 × 12 multiplication grid that children often find more difficult to remember.

**Day 2**

Use arrays of 20 counters to model finding factors. List factors in pairs to aid finding all possibilities. Repeat for 24; note common factors of 20 and 24. Repeat for 16 and 18.

**Further Teaching with Y4**

Model using factors to break down and solve multiplications mentally, e.g. 20 × 36 by doubling then multiplying by 10, or 52 × 14 by finding 52 × 7, then doubling.

**Group Activities: T with Y4**

Y3 *Use the in-depth problem-solving investigation ‘Ordering Cards’ from NRICH as today’s group activity.*

Or, use these activities:

-- Find factors of 2-digit numbers; investigate common factors.

Y4 *Use the in-depth problem-solving investigation ‘Race to 200’ as today’s group activity.*

Or, use these activities:

-- Multiply 23 by 8, 12, 14, 16 and 18 by choosing a pair of factors to aid calculation.

-- Use a ‘broken’ calculator to multiply 379 by 6, 8, 12, 18 and 24 by choosing a pair of factors to aid the calculation.

**Day 3**

Model multiplying three 1-digit numbers by re-ordering in a convenient way, e.g. find 4 × 7 × 5 by re-ordering as 4 × 5 × 7 (20 × 7).

**Group Activities: T with Y3**

Y3 -- Multiply three numbers recognising where reordering might simplify the calculation; explain choices.

Y4 -- Multiply three numbers (2–9) recognising where reordering might simplify the calculation; explain choices.

-- Multiply three numbers, recognising where factors and reordering might simplify the calculation; explain choices.