Examples of what pupils should know and be able to do
Given possible answers to calculations say whether they are true or falseand why, e.g. could 8 × 97 be 767?
Probing questions
Why is e + e = e and o + o = e, but o + o + o = o?
Is the same true for multiplication?
What if pupils find this a barrier?
Give pairs of pupils some statements to sort into always, sometimes and never true. For those they agree are sometimes true, ask them to explore when they are true and when they are false.
- The sum of four consecutive odd numbers is a multiple of 4.
- The product of an even and an odd number is odd.
- Square numbers are even.
- Prime numbers are odd.
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