Plenty of Pentagons

This Plenty of Pentagons assessment also includes:

Why are only four colors needed to color webs from regular pentagons, not five? An assessment task requires young mathematicians to first construct regular pentagons using a compass and straightedge, then has them consider a shape formed from a net consisting of regular pentagons. The majority of the task focuses on how many colors individuals need to color webs made from regular pentagons (Four Color Theorem).

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Instructional Ideas

  • Have struggling learners cut out nets from paper
Classroom Considerations

  • You may want to provide colored pencils or markers
  • Note that the resource uses some terms that may be unfamiliar to some pupils, such as ascribed

  • Diagrams are clear and well-drawn
  • Task incorporates multiple areas of mathematics

  • Rubric has descriptors for a partial level that does not distinguish between one or two points