Embedded Files
Artifact 1:
Category 1: Some of my best mathematical thinking
I chose this piece because I am proud of my progress because last year this math problem would have been a bit of a challenge but now I can do it with much more ease.
1000 lockers part 2 Gabi.pdfArtifact 2
Category 3: Learned from a mistake
This piece shows where I made a mistake and revised my thinking by changing the prime factorization of 161,000 from 1000 x161 then for 161 I did 23 x7 and both of those numbers are prime. And for 1000 2 x500 (and 2 is prime) and 150 x4 and 4's prime factorization is 2 x2 and 150's prime factorization is 6x25 and the prime factorization for 6 is 2x3 (they are both prime) and 25's prime factorization is 5 x5 (and 5 is prime).And for the final prime factorization I got 2 to the 4th power x 3x 5 squared x 23 x 7. But as my revised piece I did 1000x161 161's prime factorization is 23 and 7 (they are both prime) and 1000's prime factorization is 250 x4 (4's prime factorization is 2 x2 and 2 is prime) and 250's prime factorization is 125 x2 (2 is prime) and 125's prime factorization is 5 x25(5 is prime) and 25's prime factorization is 5x5 (5 is prime). And for this attempt's prime factorization is 5 to the 3rd power x 2 to the 3rd power x7 x23.
Factor scramble error Gabi.pdfGabi factor scramble revised only first page.pdfArtifact 3
Category 3: Learned from a mistake
This piece shows where I made a mistake and revised my thinking.I realized that my conjecture does not work. As you can see below I wrote in a small box my conjecture (in the 3 factors category). My conjecture is all (perfect) odd square numbers have 3 factors because 9,49,121,169 all do. But soon I realized 1,81 and 225 didn't work. Although my next conjecture isn't on the example below I later developed this conjecture. My conjecture is that all and only perfect square numbers have an odd number of factors. For example 81. 81's factors are 1,3,9,27, and 81. So 81 has 5 factors. Another example is 25. 25's factors are 1,5 and 25. So 25 has 3 factors.
Factor Gabi.pdfArtifact 4
Category 6: New Strategies
This piece shows how I discovered a new strategy to solve a problem. I used shortcut division to help me find prime factorization. As shown below I used shortcut division to help me find the prime factorization of 152,460.
Factor of 152460 Gabi.pdfShortcut division Gabi.pdfReport abuse