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Putter King LLCLevel 28 Shinagawa Intercity Tower A 2-15-1 Konan Minato-ku Tokyo, Japan〒108-6028

Future KingsTM Education ProgramSubject: PhysicsLevel 1 (Prince)

For the teacherʼs guide and all answers please contact info@putterking.com

PhysicsLevel 1 - Prince

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Area of focus: The Law of Reflection

Topics covered:• Surface normal • Angle of incidence• Angle of reflection• The Law of Reflection

Suggested time to complete (2 hrs):• Teaching material (20 minutes)• Practice activity (40 minutes)• Final project (60 minutes)

Summary

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Surface Normal

A surface normal to a flat surface is a vector that is perpendicular to that surface.

normal

The dotted line is perpendicular to the flat surface.

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Angle of Incidence

The angle of incidence θi of a ray is the angle measured from the ray to the surface normal.

θi

normal

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Angle of Reflection

The angle of reflection θr of a ray is the angle measured from the reflected ray to the surface normal.

θr

normal

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The Law of Reflection

When a ray of light reflects off a surface, the angle of incidence is equal to the angle of reflection.

θi = θr

θrθi

normal

The Law of Reflection describes a property of light; however, we can use the Law of Reflection to estimate the direction of our shots in games such as miniature golf and billiards if we assume that the there is no spin and the shot is at a low to medium strength.

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Practice Activity

Correctly draw and label the shot path to get a hole-in-one from the “X”. Be sure to use a protractor to correctly measure and label all angles.

Bonus points if you can find 2 unique paths to the hole.

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Requirements

Design and label a miniature golf hole that includes:• the shot path to get a hole-in-one using the Law of Reflection

For full points, be sure to:• label all angles along the shot path• draw and label the surface normal for each angle of incidence and angle of reflection along the shot path • use a protractor to accurately measure all angles• be creative!

Final Project

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Grading Rubric

Bogey(70% - 79%)

Par(80% - 89%)

Birdie(90% - 100%)

Shot Path • Student shot path does not follow the Law of Reflection

• Student shot path follows the Law of Reflection; however, student has made a calculation error

• Student shot path follows the Law of Reflection and is accurately calculated from tee box to hole

Labels• Student incorrectly labeled more than one angle• Student incorrectly labeled the surface normals

• Student incorrectly labeled an angle or a surface normal

• Student correctly labeled all angles• Student correctly labeled the surface normals

Design• Miniature golf hole design is plain and simple• Student lines and angles are sloppy or incorrectly labeled• Miniature golf hole design does not exhibit creativity

• Miniature golf hole design is playable• Student lines and angles are neatly drawn and labeled

• Miniature golf hole design is playable and aesthetically pleasing• Student lines and angles are neatly drawn and labeled• Miniature golf hole design is creative and original