I can solve any 3d X 1d

Step 1:

Partition off the hundreds and multiply using ‘smile’.

Partition off the tens and mutiply using ‘smile’.

Partition off the units and mutiply

Combine the answers to give your final answer

Step 2:

Repeat the process, gradually leaving one more section of the grid blank , holding the answers in your head, until whole process is carried out mentally.

I can solve any 3d X 1d - Alternative

Step 1:

Create a grid and partition.

Complete the grid

Combine the answers to give your final answer

Step 2:

Repeat the process, gradually leaving one more section of the grid blank , holding the answers in your head, until whole process is carried out mentally.

I can solve any 2d X 2d

Step 1:

Partition one of the 2 digit numbers and set this up to multiply the other 2 digit number.

Step 2:

Use the previously learned skills of 1 digit X 2 digit and ‘Smile Multiplication’ to create 4 single digit X single digit calculations.

Finally, combine the answers.

Step 2:

Repeat the process removing one step from the process each time and remembering the number rather than writing then down.

I can solve any 2D X 2D – alternative method

Step 1:

Create a grid and partition.

Fill in the grid

Combine the answers to give your final answer

Step 2:

Repeat the process, gradually leaving one more section of the grid blank each time, holding the answers in your head, until whole process is carried out mentally.

I can solve any 2d X 2d – Alternative

Can use ‘Coin Multiplication’

One example is:

Work out what combination of ‘coins’ you want to use (there are multiple possibilities)

In this one we will combine the 50 and the 20 then take away the 1, to make 69.

Create the coins we will need

Combine the (50 x 38) and the (20 x 38).

Take off the (1 x 38)

Step 2: Do all this mentally

By this stage, pupils should have the skills and confidence to play around with strategies and combination, in order to work out what works for them. Variations can be modelled with individuals and discussion between pupils at similar levels can be effective.