How to Step Through an Index Card and the Math behind it!

How to Step Through an Index Card and the Math behind it!
Made for parents and teachers

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What you need
Scissors
Pencil
Index Card
ruler

Chapters
0:00 Intro Kids Fun Science
0:22 What you need
0:47 Steps to do this
1:31 Cutting on lines
3:05 Experiment to step through the index card

The Math behind the Walk-Through Paper Trick

By cutting a long continuous maze like a path in the paper, you can create a “hole” that is apparently larger than the paper itself. We know we can multiply rectangles and have the same area, yet get the perimeter will be different for example a rectangle of 10 x 20 centimeters has an area of 200 centimeters and a perimeter of 60 centimeters. Similarly, a rectangle of 1 x 200 centimeters has the same area of 200 centimeters but perimeter of 402 cm. Using the same concept, you have created a loop that is big enough for you to walk through. The area the index card remained the same throughout the activity - the size of the index card was not changed at all because none of the cuts went all the way across the paper.

The original index card perimeter did not allow you to cut a hole that is large enough to fit through. However, a new and much larger perimeter is created by cutting slits back and forth in the folded index card. The length of this perimeter is limited to how narrow a slit can be cut. The narrower the slits, the longer the perimeter, and the bigger the hole.

What is happening here:
By making all of these cuts, essentially you’re making one rectangular piece of paper into a long narrow strip that is still connected at its two ends. Even though the area of your piece of index card has not changed, you’ve now increased the perimeter of the shape that you’re trying to step through. This gives a person plenty of room to pass through.

This is a template from my first experiment with a full piece a paper.
Go to the link below for the print out of the Walk Through Paper. Cut out on the lines. Make sure only to cut the 6 pieces on the folded part in the middle, Do NOT cut the ends. Then unfold and you will be able to walk through the paper.

Walk Through Paper Cut out
https://www.pinterest.com/pin/542472717602547686/

#stepthroughindexcard #indexcardpapertrick #indexcardchallenge