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

Which One Doesn’t Belong – Day 10

Which One Doesn’t Belong is one of my favorite routines to use with students. Students choose which one they think does not belong from a group of images. The most important thing is that they explain why they believe that particular image does not belong. And anything goes. An example from the image above would be I think that the bottom right does not belong because it is the only one that is green. Students also need to be thoughtful that their explanation only works for that particular image. If I said that the bottom right was outlined in red, … Continue reading Which One Doesn’t Belong – Day 10

100 Chart Connect 4 – Day 9

This game is from Joe Schwartz’s Exit 10A. The goal of the game is score the most points by connecting four numbers (either horizontally, vertically, or diagonally) on a 10 x 10 grid, or 100’s chart. The idea behind this game is that it helps younger students learn about patterns in the 100’s chart. For older students, there are a lot of strategies that can be used that makes this game interesting. Since I did not have any pictures of the game being played, I asked my high school sophomore to play with me. When I explained the rules, he … Continue reading 100 Chart Connect 4 – Day 9

1-4-5 Square Puzzle Challenge – Day 8

This puzzle, or challenge, is all about making squares. Sarah from Math = Love have adapted the original puzzle from a Netherlands brain teaser website where you use all five pieces to create a square. I love how she has scaffold this activity to allow students to build their stamina to figure out the original challenge. Know that if you do puzzles like this to remind students that finding the answer to the challenges could take days. We are still working on Challenge #3. Here’s her adaptation: Challenge #1 Can you make a square using only one piece? (I think … Continue reading 1-4-5 Square Puzzle Challenge – Day 8

Same or Different – Day 7

How are these pictures the same? How are these pictures different? This routine of same or different allows students to compare two things, looking for how they are similar and how they are different. Students start by thinking and studying this picture – noticing and wondering how these images are the same and how they are different. Then students share, verbalizing what the see being the same and different. Students learn how to share and talk about math in a way that is fun and engaging. They also see how different students see the world by listening to what they … Continue reading Same or Different – Day 7

5 x 5 Game from Sara Van Der Werf – Day 6

The 5 x 5 game from Sara Van Der Werf is great for any age. Using cards, student place numbers on a 5 x 5 grid. When numbers are adjacent, they can count those numbers for their score. Numbers can be adjacent either vertically or horizontally. The goal of the game is to get the highest total points. To see a better explanation of the rules, you can find them here. Every time that students have played this game, it takes at least two attempts before they start to strategize where to put the numbers. And students of all ages … Continue reading 5 x 5 Game from Sara Van Der Werf – Day 6

Solve Me Puzzles – Day 5

Puzzles are a great way to develop mathematical habits of mind and logical reasoning. SolveMe puzzles focuses on supporting algebraic and mathematical thinking in a fun way. With each of these puzzles, Mobiles, Who Am I?, and Mystery Grid, students are able to explore different ways to solve them using logic and reasoning. These puzzles allow students to track their progress in solving them. Mobiles Who Am I? Who Am I? puzzles have students figure out a mystery number. Through a series of clues, student figure out the mystery number. These clues reinforce the math vocabulary students have learned. MysteryGrid … Continue reading Solve Me Puzzles – Day 5

Noticing & Wondering – Day 4

Today’s activity is taken from Youcubed’s Week of Inspirational Math. It involves taking the structure of noticing and wondering and extending it into an activity. And I think everyone could enjoy this one. What do you notice? What do you wonder? Here are some other questions that Youcubed has included: What questions do you have? What information does this graph provide? Other questions might be which emoji is the least cute? Do you agree with that? Which emoji does this person like the most? How do you know that? Where would you put cat emojis? Why are the emojis with … Continue reading Noticing & Wondering – Day 4