Tuesday, 10 May 2016

Turning Negatives into Positives

K wanted proof that subtracting a negative number is the same as adding. The rule is clear cut but I was failing to convince K. There were raised voices and it was not fun.

Luckily MathsIsFun delivered on its promise and rescued us from a mother-son rift.

I went with their hot air balloon example which has the added bonus of reinforcing the number line concept.



My hot air balloon looks like a flower pot (art is not my thing) but the idea is sound and it works like this:

The orange circles are balloons, worth +1. The grey are weights, worth -1.

  • Start with the balloon pointing to zero then remove balloons (subtract a positive) or add weights (add a negative) to make the balloon drop. 
  • Add balloons to make it rise (add a positive).
  • Remove weights to show how subtracting a negative results in the balloon rising (a positive).

It's an effective way of proving to a 9 year old that taking away a negative can make a positive and there was a bonus bit of craft work preparing the number line and stamping out the circles.

Fabulous ideas from : http://www.mathsisfun.com/positive-negative-integers.html