www.thinkmathematics.com Great ideas and resources for teaching engaging mathematics lessons

Great ideas and resources for teaching engaging mathematics lessons

Arcs and Sectors

  Description/Aim  
This is not hard, this is not hard, this is not hard . . . that's what this activity hopefully gets you to realise. If you understand that 3/4 means, chop a pizza in four and take three of those pieces, then after working through this activity, hopefully you'll realise it's not such a big step from there, to understanding that 120/360 means chop the pizza into 360 pieces and take 120 of those pieces (because its a very big pizza, and you're hosting a very big party!).

Students Notes - Why? How? What?

Why we like this activity....
Because it gets you to use what you know to work out what you don't. That's what problem solving is all about. This seems new, but if you know how to find the area and how to find the circumference of circles, and you understand what fractions are telling you to do,then there's nothing new here.

How this activity can be used....
Sometimes, I've not gone further than the first two questions because one of you guys has come with a smart cutting/measuring method so we can work out any fraction of a circle someone cares to give us (no matter how small or big!).

What to expect when using this activity, from our experience...
You might not have understood fractions as well as you thought you did, and this may be a big "Oh right!" moment for some of you. Yes 2/3 means, get two pizzas and split them into three equal bits or take one pizza, cut it into three and take two bits, either way, the total amount of pizza you get will be the same. You all understand halves, quarters and can spot them immediately, now let's take stretch that same innate understanding you have a little further. . .

Extra notes

 

Author/Date Olive Bowles 27.10.09

Credits

 

circles areas circumference perimeter arcs sectors

 
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