Squared Numbers Reflection -Tony

Reflection:

I noticed that most numbers needed 3 or 4 squared numbers an some that needed 1 or 2 squared numbers. The ones that needed 1 numbers were perfect squared numbers such as 1,9,16,4,25,36,49,64,81 and 100. I think that you can still make numbers under 5 numbers over 120 because you would still have the squared numbers that are over 120 like 121 and 144. Technically there are an infinite amount of squared numbers.

I will test this rule with high numbers like:

134= 10^2 + 5^2 + 3^2

144= 12^2

169= 13^2

199= 14^2 + 3^2 + 2^2

596= 22^2 + 12^2 + 2^2 + 2^2

999= 31^2 + 6^2 + 1^2 + 1^2

991= 31^2 + 5^2 + 2^2 +1^2

9999= 98^2 + 19^2 + 5^2 + 3^2

I have found out that the rule indeed goes with all numbers, even ones over 120.

The most numbers you will ever need is four squared numbers to make any number

Tony’s running distance

I think I could of run just a little bit further if I had more time when I did it the first time because I had only about 20 minutes or so. The rest of our class had about double the time I could run so that is what I think about my running distance. Also when I saw what my total distance on map was, I was quite impressed because I wouldn’t have thought I could run that in 3 runs.