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Wednesday, 26 June 2019

Calculating Squares on a Grid

This week in Maths we have been working on a grid. We had to calculate how many Squares are on the outside of the grid. We came up with 6 calculations and they all worked but I have demonstrated two of them. 

1. 10 x 4 - 4 = 36
This is the first way we found out how to work it out. The way to work it out is to calculate how much
sides are on the grid and their are 4. and then we need to workout how many Squares their are it is 10.
so their are 4 sides and 9 on two sides and 10 on the other two sides. So times 10 with how many squares there are on the side and count the corners. It will equal 40 and then you take away the corners witch is minus 4. 10 x 4 = 40 - 4 = 36 that is how you calculate the numbers. If you want to write it in letters it is 4n - 4 = 36. Here is another way to work it out 3n + 6 = 36.





2. 9 + 9 + 9 + 9 = 36
This is second way we found out how to work it out. The way to calculate this is to do 9 + 9 + 9 + 9 on each side and that would equal up to 36. If you want to know this calculation in letters
it would look like this n-1 + n-1 + n-1 + n-1 = 36 here are some other ways to do this. n + n + n-2 + n-2 = 36, n x 4 - 4 = 36, n + n-1 + n-1 + n-2 = 36.

20 by 20: 20 + 20 + 18 + 18 = 76. The way I worked this out is you get 20 on one side and then 20 on the other. And then what ever is left witch is 18 and 18 you plus them all together and get 76.



If you know any more ways to solve this problem please make a comment and show me thank you!!!.

1 comment:

  1. Good work Austin, I like how you have put the diagrams next to the text. I'm not sure how this part of it works. "Here is another way to work it out 3n + 6 = 36."
    Perhaps you could try a worked example and explain it to me.

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