Similarity and Dilation Life Uses Dr Rebecca Klemm

Similarity and Dilation Life Uses Dr. Rebecca Klemm, Ph. D

• Where will you/have you been involved with Dilation/Similarity in your Daily Life?

• Let’s Make a List?

• Did anyone have an eye doctor dilate your pupil?

• The eyedrops used for dilation cause your pupils to widen, allowing in more light and giving your doctor a better view of the back of your eye. Eye dilation assists your doctor in diagnosing common diseases and conditions, possibly at their earliest stages. • When it is dark, your pupils widen to let in more light. When your eyes are dilated by a doctor, the pupils widen artificially, letting in more light than is comfortable, causing light sensitivity Dilation in Everyday Life

Square Dilation

Dilation?

Circle Dilation

1 Diameter 1 2 Diameter 2 Remember π? How is π related to each circle?

Three-Dimensional Dilation

? Triangle Dilation

? Pentagon Dilation

Number Linx Puzzle with Dilation and Similarity

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Number Linx Level 1

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Number Linx Level 2— 2 polygon pieces per equilateral polygon

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Number Linx Level 3 Multiple pieces per polygon

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Number Linx Level 4: 6 pieces each polygon

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Number Linx Level 5: 6 pieces each polygon—no top or bottom to each

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The Numbers Lady Puzzling Polygon Conjecture: Any Equilateral Polygon of n sides can be deconstructed into k polygons of n sides, k = 1 to infinity

The Numbers Lady Puzzling Polygon Challenge: Prove the Numbers Lady Puzzling Polygon Conjecture.

• Eye Dilation Infographic https: //nei. nih. gov/healthyeyes/eyeexam • Square Clip. Art http: //www. clipartpanda. com/categories/bluesquare-frame-clipart • Circle Clip. Art http: //vector. me/search/cartoon-beach-scene • Triangle Clip. Art http: //www. clipartsheep. com/cliparts-oftriangle-free-download-wmf-eps-emf-svg-png-clipart 354994. html • Pentagon Clip. Art http: //www. clipartsfree. net/clipart/1278 swirly-pentagon-clipart. html Sources