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I had a fantastic experience teaching my 8-year-old about the Pythagorean theorem using a Geoboard, we are able to come up a very simple visual proof of the theorem. One can see the area of the outside square is: (a+b)2, but it also equals to 4 right angle triangles (all of them the same size, just different orientation, each triangle has area ab/2) and one small square, whose area is c2 for a total of c2+2ab, hence (a+b)2 = c2 + 2ab, so it's easy to see a2+b2 = c2.
After she learned about square roots using IXL, I was able to show her how to apply the theorem to find the distance between two points on a coordinate system, particularly lattice points.
One of the things that Geoboard is good about, is to visually create length of special square root, such as √2, √5, √10, √13, √17, etc... and squares with areas 2, 5, 10, 13, 17, etc. It's really fascinating. My child is eager to solve questions related to square root, which is ranging from grade 9-11 IXL questions. I found out using Geoboard is the best approach.
I used a Geoboard Chrome extension to demonstrate how to use the backtrack algorithm to place 10 points on a 5x5 Geoboard's lattice points in such a way that each row, column, and diagonal would have 2 points. While this may seem complex, I found that using a physical Weiqi board, a Chinese game, made it much easier to execute the backtrack algorithm steps for this particular exercise.
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Welcome to the Parenting Group website! We understand that parenting can be both challenging and rewarding, which is why we've created a community where parents, caregivers, and educators can come together to support and guide each other. Our Parenting Group is built on the idea that "together we can do so much," as Helen Keller once said, and we believe that by working together, we can provide a supportive environment for our children and those in our communities.
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