Math Problem Solving & Investigation - Having Your Cake Math Worksheet
Fair-division investigation built around cake cutting: students extend the 'I cut, you choose' method into a procedure that lets any number of people share a cake so each person gets at least a fair share.
- Grades
- Grades 5–8, Elementary, Middle School
- File type
- Preparation
- Print ready
- Topic
- math worksheet, problem solving exercises
- Resource types
- Worksheets & Printables, Worksheets
- Preparation
- Print ready
About this resource
What's inside this resource
Students will investigate connections with this worksheet. They will explore creating and collaborating in this math exercise.
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In the classroom
Teaching tips & learning objectives
Learning objectives
- Generalize a two-person fair-division procedure to any number of people
- Test a proposed procedure and explain why each share is at least 1/n of the cake
Teaching tips
- The suggested procedure works best held back until groups have tried their own method with classmates.
Skills covered
- Algorithm design — writing step-by-step cutting and choosing rules that work for n people
- Testing a procedure — trying the method with classmates to check that every share is fair
- Reading code — following Excel and Python examples that assign students to random groups
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Resource details
Concepts & topics
Core concepts
Core concepts
- Fair division
- Algorithms
- Random assignment
- Combinatorics
Topics
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