Education.com
Try
Brainzy
Try
Plus

Folding Paper

based on 11 ratings
Author: Crystal Beran

Grade Level: 2nd - 6th; Type: Physics

Objective

Determine how many times you can fold a piece of paper in half, and if the size and thickness of the paper has an effect on the process.

Introduction

Exponential growth and decline are tricky subjects to comprehend. The numbers involved grow or shrink very rapidly, quickly transforming from numbers and sizes that we can understand to those that are extremely difficult to comprehend or work with. Folding a piece of paper in half represents the concept of exponential decline. The first fold gives you a piece of paper that is ½ the size of the original, the second fold gives you a piece that is ¼ the size of the original, the third fold gives you a piece that is 1/8 the size of the original. Then 1/16, 1/32, 1/64. As you can see, the fractions get very small very quickly and before long, the paper is too tiny to fold again. Understanding the concept of exponents is important to scientists because the principles of this type of growth or decline are used in a number of different fields.

Research Questions

  • What types of fields use the principles of exponents?
  • What types of things are measured in exponential growth?
  • What types of things are measured in exponential decline?
  • Does the size of a piece of paper affect your ability to fold it in half?
  • Does the material of a piece of paper affect your ability to fold it in half?

Terms to Know

  • Exponential growth
  • Exponential decline
  • Halving

Materials

  • A piece of construction paper 9”x12”
  • A piece of construction paper 4”x6”
  • A piece of printer paper 9”x12”
  • A piece of printer paper 4”x6”
  • A piece of tissue paper 9”x12”
  • A piece of tissue paper 4”x6”

Experimental Procedure

  1. Begin by placing the 9”x12” piece of construction paper in front of you on a table.
  2. Fold it in half, matching the short ends together.
  3. On a piece of lined paper, make a tally mark to represent your first fold.
  4. Fold the paper in half, again matching the shorter ends together.
  5. Make another tally mark on the paper.
  6. Continue folding and making tally marks until you cannot fold the paper again.
  7. Record the results on a chart such as the one below.
  8. Repeat steps 1-7, using the other types of paper.

References

Add your own comment
Recommended Learning Products
Trust Education.com to find smart things kids love
Unlimited Workbooks and Worksheets
90% of Students Understand Concepts Better Since Using PLUS
Unlimited Library of Children's Books
Over 750 stories at your fingertips
Make Math Practice Fun and Engaging
Interactive Math Lessons for Elementary School Students
Explore science concepts with these fun workbooks created by teachers