What we did...
What was the PURPOSE of this week? |
The purpose of this week was to learn about finding patterns and making mistakes. We learned how we are supposed to grow from our mistakes when we mess up or do something wrong. It was also a way to start the year transitioning from last year.
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overview of what we did: |
This week we did four problems and watched videos about math. The problems were tiling an 11x13 rectangle, squares to stairs, hailstone sequences, and the painted cube problem. The rectangle problem was where we had to graph an 11x13 rectangle and find the smallest amount of squares we could draw inside of it. The square problem was were we had sets of stairs built up of cubes and as they got larger we had to find a pattern on how they were getting larger. The hailstone sequences were us basically just creating our own hailstone sequences and finding that pattern in how they all connect. I will explain the painted cube problem later.
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Messages from two of the videos we watched: |
Messages from two of the many videos we watched are that its ok to make mistakes and build off of that, and its ok to use old math habits that still work if we need to. These are important because they will help us learn math easier.
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PROBLEM I wanted to build on: |
I chose the painted cube problem to build on. The painted cube problem was, we had a 3x3 cube and it was supposedly dipped into a bucket of paint. We had to figure out how many sides of each cube were painted. I chose this problem to build on because it was mostly, just the funnest one to do. When my group started this problem, we had a bunch of sugar cubes and we staked them up into a 3x3 cube. Our original plan was to dot the sides and as we were doing this we un-staked the cube and put the sugar cubes in piles of how many sides were dotted. This got mixed up and it just confused us because as the cube was broken apart we couldn't figure out which sides to color in. We re built the cube again and got a different color to make it less confusing. Than we dotted the sides before taking the cube apart. After this we than took it apart and separated the cubes into piles again. This would have worked but the class ended and we had to just draw a cube and count them on paper. I built off of this problem by doing the same thing for other cube sizes like 4x4 and 5x5.
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Reflection of my work this week: |
This week I managed to finish everything on time and understand it, which was a struggle for me last year. I hope the rest of the year I end up understanding what is being taught. This was a struggle before because i'm still not used to, or able to completely learn from project based learning yet. This is my second year at this school learning this way and I still don't completely understand how to learn this way, but i'm getting better.
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