Egyptian Fractions Math Challenge

A small-group or independent mathematical exploration of expressing a number as an additive series of unit fractions. This resource creates space for learners to explore the history behind computing parts of a whole as well as the challenge around being as efficient as possible in discovering these series of unit fractions. Learners will identify patterns, draw inferences, and build their number reasoning skills.

WHAT’S INCLUDED

This resource contains:
-> 4 pages of fraction pattern exploration
-> 4 pages of hints and answer keys
-> An assignable Easel activity

STORY

I stumbled across this story of Egyptian fractions when I was looking for supplementary resources during my addition of fractions unit in grade 5. I really liked the challenge that discovering the patterns naturally encouraged, so I developed an exploration which turned into several days of great conversation, inquiry, and discovery for my students. It was a worthwhile bunny trail from our regular curriculum as it helped many students build a foundation for understanding operations with fractions and why we might need to do it in the first place.

IMPLEMENTATION

This resource provides a four-page worksheet chocked full of ideas about the history and methodology of ways to split up a total. As such, there are many possibilities for implementation. Use this worksheet as an independent, standalone activity to extend learning for some students. Allow learners to partner or group up to take on the challenges together or lead the entire class in an exploration of fractions by introducing the ideas organically.

POSSIBLE EXTENSIONS

Ideas for extension are included in the resource.

MATERIALS/PREREQUISITES

Besides this resource, you may require:
-> Plenty of time and space to explore these ideas
-> More research on Egyptian fractions (optional websites included)