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

Rectangle Fit Game – Day 12

I love this game for helping students with their multiplication facts! Rectangular Fit, taken from the work of Jennifer Bay-Williams and Gina Kling in Math Fact Fluency: 60+ Games and Assessment Tools to Support Learning and Retention, can be adapted for different ages and situations. For Rectangular Fit, you will need two dice (or you could use playing cards), pencil, and a game board for each player. You will need at least two players. I am sharing how to adapt the game for at least a two player game. The attached version is for a whole class game. The goal … Continue reading Rectangle Fit Game – Day 12

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