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                                     Future KingsTM Education Program
                                                 Subject: Math
                                                Level 1 (Prince)




Putter King LLC                                                         All materials copyright © 2011
Level 28 Shinagawa Intercity Tower A                                    Putter King LLC
2-15-1 Konan Minato-ku Tokyo, Japan                                     All rights reserved
  108-6028                                                              Unit #: 2011010102
Math
Level 1 - Prince




       2
Summary

Area of focus: angles

Topics covered:
 • Parts of an angle
 • Labeling angles
 • Types of angles
Suggested time to complete (2 hrs):
 • Teaching material (40 minutes)
 • Practice activity (20 minutes)
 • Final project (60 minutes)

                  3
Parts of an Angle


    The two straight sides are called arms




                                             The angle is the amount of rotation
                                             between each arm

The corner point of an
angle is called the vertex




                                         4
Labeling Angles
There are two main ways to label angles:

1. by using a lower-case letter like a or b, or a Greek letter like α (alpha) or θ (theta)

2. or by using three letters. The first and third letters represent points on each of the
arms that form one of the sides. The middle letter represents the vertex.

The example angle can be labeled as “θ”, “BAC”, or “CAB”

                                                       B




                                                θ

                               A
                                                                  C

                                                 5
Types of Angles

      Acute Angle                                                                     Right Angle




Definition: an angle that is less than 90°                              Definition: an angle that is exactly 90°




                                                 Straight Angle




                                     Definition: an angle that is exactly 180°




                                                        6
Types of Angles
       Obtuse Angle                                                                    Reflex Angle




Definition: an angle that is greater
                                                                        Definition: an angle that is greater than 180°
than 90° but less than 180°




                                               Full Angle (Perigon)




                                      Definition: an angle that is exactly 360°


                                                         7
Practice Activity




Find and correctly label the following:
• acute angle (3)
• obtuse angle (3)
• right angle (3)
• reflex angle (2)
• straight angle (2)
• full angle (1)




                                          8
Final Project

Requirements

Design and label a miniature golf hole that includes at least:
  • 1 acute angle
  • 3 obtuse angles
  • 2 right angles
  • 1 reflex angle
  • 2 straight angles
  • 1 full angle
For full points, be sure to:
  • label at least one vertex
  • use a protractor to accurately measure and label the rotation
  amount for 1 acute angle and 1 obtuse angle
  • be creative!




                                  9
Grading Rubric


               Bogey                                   Par                           Birdie
            (70% - 79%)                         (80% - 89%)                     (90% - 100%)


         • Student did not include all      • Student forgot to include a     • Student included all required
                                                                              angles
         required angles                    required angle
Angles   • Student incorrectly measured     • Student incorrectly measured    • Student correctly measured at
                                                                              least two angles (one acute and
         both angles                        an angle
                                                                              one obtuse) using a protractor


                                                                             • Student correctly labeled all
         • Student incorrectly labeled     • Student incorrectly labeled an angles
         more than one angle               angle                             • Student correctly labeled at
Labels   • Student incorrectly labeled the • Student incorrectly labeled the least one vertex labeled the
         degrees of rotation for at least  degrees of rotation for one       • Student correctly
                                                                             degrees of rotation for at least
         one angle                         angle
                                                                             one acute angle and one obtuse
                                                                             angle

         • Miniature golf hole design is                                      • Miniature golf hole design is
                                                                              playable and aesthetically
         plain and simple                   • Miniature golf hole design is   pleasing
         • Student lines and angles are     playable
Design   sloppy or incorrectly labeled      • Student lines and angles are    • Student lines and angles are
                                                                              neatly drawn and labeled
         • Miniature golf hole design       neatly drawn and labeled
                                                                              • Miniature golf hole design is
         does not exhibit creativity
                                                                              creative and original




                                           10

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Putter King Education - Math (Level 1)

  • 1. For the teacherʼs guide and all answers please contact info@putterking.com Future KingsTM Education Program Subject: Math Level 1 (Prince) Putter King LLC All materials copyright © 2011 Level 28 Shinagawa Intercity Tower A Putter King LLC 2-15-1 Konan Minato-ku Tokyo, Japan All rights reserved 108-6028 Unit #: 2011010102
  • 2. Math Level 1 - Prince 2
  • 3. Summary Area of focus: angles Topics covered: • Parts of an angle • Labeling angles • Types of angles Suggested time to complete (2 hrs): • Teaching material (40 minutes) • Practice activity (20 minutes) • Final project (60 minutes) 3
  • 4. Parts of an Angle The two straight sides are called arms The angle is the amount of rotation between each arm The corner point of an angle is called the vertex 4
  • 5. Labeling Angles There are two main ways to label angles: 1. by using a lower-case letter like a or b, or a Greek letter like α (alpha) or θ (theta) 2. or by using three letters. The first and third letters represent points on each of the arms that form one of the sides. The middle letter represents the vertex. The example angle can be labeled as “θ”, “BAC”, or “CAB” B θ A C 5
  • 6. Types of Angles Acute Angle Right Angle Definition: an angle that is less than 90° Definition: an angle that is exactly 90° Straight Angle Definition: an angle that is exactly 180° 6
  • 7. Types of Angles Obtuse Angle Reflex Angle Definition: an angle that is greater Definition: an angle that is greater than 180° than 90° but less than 180° Full Angle (Perigon) Definition: an angle that is exactly 360° 7
  • 8. Practice Activity Find and correctly label the following: • acute angle (3) • obtuse angle (3) • right angle (3) • reflex angle (2) • straight angle (2) • full angle (1) 8
  • 9. Final Project Requirements Design and label a miniature golf hole that includes at least: • 1 acute angle • 3 obtuse angles • 2 right angles • 1 reflex angle • 2 straight angles • 1 full angle For full points, be sure to: • label at least one vertex • use a protractor to accurately measure and label the rotation amount for 1 acute angle and 1 obtuse angle • be creative! 9
  • 10. Grading Rubric Bogey Par Birdie (70% - 79%) (80% - 89%) (90% - 100%) • Student did not include all • Student forgot to include a • Student included all required angles required angles required angle Angles • Student incorrectly measured • Student incorrectly measured • Student correctly measured at least two angles (one acute and both angles an angle one obtuse) using a protractor • Student correctly labeled all • Student incorrectly labeled • Student incorrectly labeled an angles more than one angle angle • Student correctly labeled at Labels • Student incorrectly labeled the • Student incorrectly labeled the least one vertex labeled the degrees of rotation for at least degrees of rotation for one • Student correctly degrees of rotation for at least one angle angle one acute angle and one obtuse angle • Miniature golf hole design is • Miniature golf hole design is playable and aesthetically plain and simple • Miniature golf hole design is pleasing • Student lines and angles are playable Design sloppy or incorrectly labeled • Student lines and angles are • Student lines and angles are neatly drawn and labeled • Miniature golf hole design neatly drawn and labeled • Miniature golf hole design is does not exhibit creativity creative and original 10