Introduction: During math class, we get a big problem to work on the whole week and turn it in at the end of the week. We get to work on it in class and share our ideas out with our peers but we also work on it at home. It takes out a week or more for some people to finish the problem since its a big problem but some people like me, can't figure out how to solve the problem because some of us find it challenging.
Problem Statement: This problem is called " Checkerboard Squares", On the paper that we got it shows 2 square boxes with small squares inside that are black and white. Both of the squares were 8 by 8 and end up having 64 square boxes. Since this problem was new to most of us, it gave us an example on. There was many different ways to find small squares like 3 by 3.
Process Description and solution: When we first started this problem, i was confused because it was something new for me. Even though i found it confusing, i still went for it and tried it out. At first i got 4 by 4 squares, 3 by 3 squares, 1 by 1 squares and 2 by 2 squares. I believe you could do any number since you could over lad the squares so it wouldn't matter if it fit.
Extensions and Further Exploration: Since i wasn't really confordit about my answers, i realized that could have 64 squares by doing 1 by 1 squares on each box which you would end up with 128 squares. What i also realized was, you could have 4 by 4 squares but you'll have 4 big boxes in 1 box.
Reflection: This problem was new something new so i wasn't as confident. When i asked for help from my peers, i started to understand what we're suppose to do but at same time i knew i wasn't going to be right. Even though i didn't have that much confidence, i still wanted to try it out to get a better understanding of it. One of the strengths i used was, trying something new without giving up on the first step because i knew i had to try even though i might not know the problem as well.