### Planning and Activities

**Day 1 Teaching**

Launch ITP ‘Number dials’. Randomise the central number and multipliers. Click on an outside number. What times table do you think it might be? What else could it be? What can't it be? Why? Reveal another product. Carry on until children all agree. Repeat.

Group Activities

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

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

**Day 2 Teaching**

Sketch 24 counters arranged in a 6 by 4 array. What other arrays are possible using 24 counters? Each child sketches a different way on their whiteboard. Share ideas. Say that 24 is a multiple of 1, 2, 3, 4, 6, 8, 12 and 24. Explain that these are its factors. Write factors of 21 then of 16.**Group Activities**

-- Investigate the factors of numbers up to 40.

**Day 3 Teaching**

Show children an Interactive Whiteboard multiplication grid. Look at the number 16. Where does it appear on the grid? It is in the 2 times table and in the 8 times table. It is also in the 4 times table. Write its pairs of factors. Some numbers on the grid only have 2 factors, other than themselves and 1, e.g. 21 has 3 and 7. This is why it only occurs twice on the grid. It is only in two tables, the 3 times and the 7 times tables. Repeat for 44. Introduce into the whole class investigation.**Group Activities**

Use the in-depth problem-solving investigation ‘Shape Times Shape’ from NRICH as today’s group activity.

Or, use this activity:

-- Explore the factors of numbers that occur multiple times on a multiplication grid.