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Math in Waʻa:
Examples of math in waʻa and navigation
Kamuela E. Yong
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Front Matter
Colophon
Trigonometry Through Wayfinding and Navigation Across the Pacific
1
Waʻa Math
1.1
Estimating Speed
1.1.1
How do we measure speed
1.1.2
Measuring the speed of a waʻa
1.1.3
Magic Speed Number
1.1.4
Classroom Activity
1.2
Four Quadrants
1.2.1
Micronesia
1.2.2
Hawaiʻi
1.2.3
Direction
1.2.4
Lesson: Cartesian Plane and Hawaiian Star Compass Symmetry
1.2.4.1
Objective
1.2.4.2
Materials
1.2.4.3
Procedure
1.2.4.4
Assessment
1.2.4.5
Homework
1.3
Ratios: Anchoring
1.4
Star Compass
1.5
Deviation
1.6
Making a Scale Model
1.6.1
Scale Model
2
Star Compass Construction
2.1
Lesson 1: Locating the Houses of the Star Compass
2.1.1
Introduction/Review of the Star Compass (25 mins)
2.1.2
Discussion on the Physical Properties of the Hawaiian Star Compass (5 mins)
2.1.3
Understanding the Relationship between Houses and Degrees on the Star Compass (5 mins)
2.1.4
Constructing One Quadrant on the Board (10 mins)
2.1.5
Angles on the Star Compass (10 mins)
2.1.6
Spacing Between Houses (5 mins)
2.2
Lesson 2: Boundaries of the Star Compass
2.2.1
Preparation in the Classroom (5 mins)
2.2.2
Outdoor Activity: Constructing the Star Compass with Students as Houses (20 mins)
2.2.3
Classroom Review of Outdoor Activity (10 mins)
2.2.4
Lesson 1 Review and Boundary Claculation (25 mins)
2.3
Lesson 3: Drawing the Circle
2.3.1
Classroom: What is a Circle
2.3.2
Outside: Making a Circle
2.3.3
The Star Compass Circle
2.3.4
Summary
2.3.4.1
What is a Circle
2.3.4.2
Outside: Making a Circle
2.3.4.3
The Star Compass Circle
2.4
Lessons 4 and 5: Installing Star Compass Houses
2.4.1
Cardinal-Directions
2.4.2
Finding-Manu
2.4.3
Finding ʻĀina
2.4.4
Finding the Center of the Houses
2.4.5
Locating the Boundary between Hikina and Lā
2.4.6
Locating House Boundaries
2.4.7
The Finished Star Compass
Backmatter
🔗
Math in Waʻa:
Examples of math in waʻa and navigation
Kamuela E. Yong
Math, Natural, and Health Sciences
University of Hawaiʻi - West Oʻahu
March 6, 2024
Colophon
Trigonometry Through Wayfinding and Navigation Across the Pacific
