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Unit Chats

Unit Chats are one of the great openers developed in the last few years. The emphasis is on different units within the image. Students can answer “how many” with respect to the different options of units presented by the picture, and also relate the units to each other to build the framework for a deeper understanding of multiplication, division, and …

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Fraction Talks

Fraction talks developed as a way to use the Number Talk routine to target fractions. A growing body of fraction talks are available at fractiontalks.com. I’ve created a writeup below for how to use fraction talks, as well as a collection here which are ideal for introducing fraction talks to students early in their understanding of fractions, and then continuing …

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Broken Calculator Warm Up

Broken Calculators are one of the most versatile and delightful openers I know. The image itself communicates the heart of the puzzle, while leaving students open to all manner of different and personal approaches to reaching the goal. Read the lesson below, and check out the images underneath. It’s easy to make your own! UPDATE – check out the beta …

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2, 4, 6 Puzzle

The 2-4-6 Puzzle teaches an invaluable lesson about inductive reasoning, confirmation bias, and how “wrong” answers lead to deeper knowledge. It can be adapted with different rules for endless play options and difficulties. Also see Josh Golden’s writeup of Eleusis Express for a card game version of the game, perfect to play with standard cards, SET cards, or Tiny Polka …

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Billiard Ball Problem

The Billiard Ball Problem is a beautiful exploration of a situation both natural and novel. Great for problem solving, with connections to ratio and proportion. Also check out this Billiard Ball simulator on Scratch.

Math Magic Trick

This trick is an extraordinary introduction to the power of algebraic thinking, and a reminder of what makes algebra so awe-inspiring. A video Launch for this lesson is available in two parts. PDF of the lesson is below the videos. Part 1. When using as a class launch, stop at 2:45 and let the class come up try to find …