putter king education program - math level 3 (teacher's guide english)

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All materials copyright © 2011 Putter King LLC All rights reserved Unit #: 2011010301 Putter King LLC Level 28 Shinagawa Intercity Tower A 2-15-1 Konan Minato-ku Tokyo, Japan 108-6028 Subject: Math Level 3 (Queen) Future Kings TM Education Program Teacherʼs Guide

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All materials copyright © 2011Putter King LLCAll rights reservedUnit #: 2011010301

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

Subject: MathLevel 3 (Queen)

Future KingsTM Education ProgramTeacherʼs Guide

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Practice Activity #1Find the length of:• p = 500 cm• q = 607.2 cm• r = 707.1 cm

500 cm

500 cmr

47.8º

300 cm

400 cm

p

Find the angle of:• θ = 30.1º• β = 53.1º

410.5 cmq

801.3 cmθ

β

b2 = a2 + c2 − 2ac cos B3 - 4 - 5 right triangle

45º - 45º - 90º right triangle

law of sinestrigonometric functions

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Practice Activity #2

b2

a2

The initial large square is formed of area c2 by adjoining four identical right triangles, leaving a small square in the center of the big square to accommodate the difference in lengths of the sides of the triangles. Two rectangles are formed of sides a and b by moving the triangles. By incorporating the center small square with one of these rectangles, the two rectangles are made into two squares of areas a2 and b2, showing that c2 = a2 + b2.

c 2

Before After

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Final ProjectThere are many possible answers for the final project. After your students complete the final project be sure to have them upload their miniature golf hole design to our ʻHole Design Contestʼ at www.putterking.com. The contest is free to enter and there are great prizes available for the winners:

Hole Design Contest Prizes

(1) Grand Prize• $550.00 USD• Hole design will be featured in the Putter King app• (1) Putter King T-Shirt • (5) Putter King Logo Golf Balls

(1) Second Place Prize• Hole design will be featured in the Putter King app • (1) Putter King T-Shirt • (3) Putter King Logo Golf Balls

(1) Third Place Prize• Hole design will be featured in the Putter King app • (3) Putter King Logo Golf Balls

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Grading Rubric

Bogey(70% - 79%)

Par(80% - 89%)

Birdie(90% - 100%)

Triangles• Student did not include all required triangles• Student incorrectly labeled the triangles

• Student forgot to include a required triangle• Student incorrectly labeled one triangle

• Student included all required triangles • Student correctly labeled all required triangles

Formulas• Student did not use all of the required formulas to calculate the length of a side or the measure of an angle• Student made multiple calculation errors

• Student forgot to use one of the required formulas• Student made a calculation error

• Student correctly used all required formulas• Student did not make any calculation errors

Design• Miniature golf hole design is plain and simple• Miniature golf hole design does not exhibit creativity

• Miniature golf hole design is playable but rather plain

• Miniature golf hole design is playable and aesthetically pleasing• Miniature golf hole design is creative and original