After a mathematician friend of mine mentioned perfect numbers, I could not resist turning it into an investigative lesson! Turns out, a number is perfect if it is the sum of its factors (excluding itself). So many questions spring to mind to investigate! What numbers are perfect? Is there a pattern? Can we predict if a number is likely to be perfect? If the sum of the factors is greater than the number, it is known as an abundant number, if less, then a deficient number. So, I made a couple of investigation sheets (inspired by some questions I found on nrich.com), some with suggestions and some just asking them to sort numbers. I did ask them to have a theory or question in mind, though. I also added a Lightbulb Moments area for when they say things like 'Oh! A prime number couldn't ever be perfect because...'. (I am also going to do a display of this next year - all of our lightbulb moments. I have to include Gru from Despicable Me!). There was lots of opportunity for using mathematical vocabulary and even some English links when talking about abundant and deficient. Anyway, enjoy!
Hi! I'm Mrs P: passionate primary school teacher!