Open Middle© Math

Open Middle© problems are challenging, fun problems for students of any age. The idea behind Open Middle© problems is that there are multiple solutions for finding the answer. To solve these and to prove that you have a valid solution, you need to find different possible solutions. Here’s one that I tried: I tried Multiplying Two-Digit Numbers – Closest to 7,000. For my first attempt, I tried using the digits 1, 2, 3, and 4. I was not really thinking about the impact of place value. I was just wanting to see what happened. On my next attempt, I knew … Continue reading Open Middle© Math

One Cut Geometry – Day 11

One cut geometry is a fun challenge based on a theorem that every pattern (plane graph) of straight-line cuts can be made by folding and one complete straight cut. So it should be possible to make every single polygon from one cut on a folded piece of paper. You need scissors and a LOT of paper for this challenge. The recommendation is that the paper is square but I think you could use a regular piece of paper. Draw a scalene triangle in the middle of the paper. Can you cut the triangle with one cut? What shapes did you … Continue reading One Cut Geometry – Day 11