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Frogs and Toads

Contributor(s):
Math Circles:
  • Activity Description
  • Topics Covered
  • Session Styles
  • Mathematical Practices
Frogs can only move right, or down, and toads can only move left, or up. Can you exchange all the frogs and toads? Can you create a formula for the fewest number of moves? This deceptively simple puzzle starts with a row of frogs and toads, then advances to a grid. The game can be played with manipulatives, online, or even with people to provide an engaging, solitary or cooperative activity for all ages.

Handouts

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Google Drive Folder

Click on a handout to open it on Google Drive.  All files are “View Only” meaning to have an editable copy, go to “File -> Make a Copy” or you can use the button below to add all files to your google drive.
1VAuJuQOat7YiA7w03QnAb2Gmx_-WVXwb

<iframe src=”https://drive.google.com/embeddedfolderview?id=1VAuJuQOat7YiA7w03QnAb2Gmx_-WVXwb#grid” style=”width:100%; height:350px; border:0;”>

1VAuJuQOat7YiA7w03QnAb2Gmx_-WVXwb

Facilitator Guide

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http://www.cut-the-knot.org/SimpleGames/FrogsAndToads.shtml

Classroom Lesson Plan

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Online Classroom Activity

This lesson is available as a Desmos Activity.  Students can play through the activity using virtual manipulatives, answer submission, and drawing tools. Teachers can assign to students, view work, and control activity pace.

Virtual Tools

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Frogs

Nrich Video and Online Activity
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