Paper Portal Geometry Lesson

Paper Portal is a geometry lesson that begins with a fascinating challenge: Can students cut a hole in a single sheet of 8 1/2″ x 11″ paper that is big enough to walk through? After students are shown the solution to this challenge the remainder of the lesson involves an investigation of the different polygon and circle areas that may be found using a fixed perimeter (the paper portal).

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Lesson Description:  Paper Portal is a geometry lesson that begins with a fascinating challenge: Can students cut a hole in a single sheet of 8 1/2″ x 11″ paper that is big enough to walk through? After students are shown the solution to this challenge, the remainder of the lesson involves an investigation of the different polygon and circle areas that may be found using a fixed perimeter (the paper portal).

Math Content:  Perimeter, Area, Measurement, Comparing the Areas of Different Figures with a Fixed Perimeter, Writing Perimeter and Area Equations with Variables

Time Required:  1 Class Period

Paper Portal Geometry Lesson includes:

  • 1 Paper Portal Challenge Teacher Notes page
  • 1 Paper Portal Activity Template
  • 1 Paper Portal Perimeter and Area worksheet
  • 1 Paper Portal Perimeter and Area worksheet Answer Key
  • 2 Paper Portal Teacher Tips pages
  • 1 Paper Portal Cover Page

Materials Needed:  scissors (1 per group), tape measures (1 per group)

Suggested Grade Level:  5th-8th

Teacher Testimonial:  Paper Portal is an activity that begins with a fascinating challenge for your students. Can they cut a hole in a single sheet of paper big enough to walk through? After letting them work on this problem for a few days you can reveal the intriguing solution. Then students use their Paper Portal to conduct a hands-on investigation of the areas of different shapes that can be made with a fixed perimeter. Learning and fun come together in this activity!

 Enjoy your lesson!!

 Mark P. Tully