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Hawaiian Culturally Relevant Lessons & Resources
Connecting Mathematics from the Waʻa to the ʻĀina
Kamuela E Yong
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Front Matter
Colophon
Dedication
Acknowledgements
Preface
I
Lower Elementary
1
ʻUmeke Poi Math
1.1
Materials
1.2
Student Learning Objectives
1.3
Student Learning Outcomes
1.4
Core Standards
1.5
Introduction
1.5.1
Cultural Connection of Poi
1.5.2
Mathematical Context (Teacher Notes)
1.6
Guided-Practice
1.7
Independent Practice
1.8
Reflection
1.9
Extension
2
Mālama Kai: Counting Plastic (Skip Counting)
2.1
Lesson Overview & Preparation
2.2
Phase 1: The Littered Ocean (Morning Experience)
2.2.1
Guided Discussion Prompts
2.3
Phase 2: Math in Action — Cleaning Our Space
2.3.1
The Classroom Clean-Up Scaling Challenge
2.4
Phase 3: Board Work & Scaling Analysis
2.5
Phase 4: Extending Mālama Kai to the Beach
2.6
Worksheet
3
Lots of Mangos (Commutative and Associative Properties)
3.1
Lesson Overview & Preparation
3.2
Phase 1: Story Time & The Problem of Plenty
3.2.1
Guided Discussion Prompts
3.3
Phase 2: Math in Action — Picking Mangos
3.3.1
First-Grade Harvest Challenge
3.4
Phase 3: Sharing the Harvest (Subtraction Strings)
3.5
Worksheet
4
The Mathematics of Kaula (Ropes) in Voyaging
4.1
Lesson 1: The Math of Coiling Kaula
4.1.1
Lesson Overview & Preparation
4.1.2
1. Introduction & The Secret of the Anana
4.1.3
2. Hands-On Activity: Finding Our 4-Foot Voyager
4.1.4
3. Guided Problem Solving
4.2
Lesson 2: The Math of Flaking Kaula
4.2.1
Lesson Overview & Preparation
4.2.2
1. Introduction: Arriving at the Harbor
4.2.3
2. Outdoor Activity: Flaking & Measuring
4.2.3.1
Step 1: The Human Flaking Machine
4.2.3.2
Step 2: Shrinking the Width
4.2.3.3
Step 3: Verifying Length by Coiling
4.2.4
3. Classroom Analysis: The Big Voyage Problems
5
The Mathematics of Voyage Estimation in the Moananuiākea Journey
5.1
Lesson: The Wayfinder’s Map
5.1.1
Lesson Overview & Preparation
5.1.2
1. The Hook & Story
5.1.3
2. Guided Practice: Making the Tool
5.1.4
3. Independent Activity: Mapping the Voyage
5.1.5
4. Real-World Case Study: The Moananuiākea Voyage
5.1.6
5. Wrap-Up & Discussion
II
Upper Elementary
6
Mālama Wai (Runoff, Rectangles, and Rain Gardens)
6.1
Lesson Overview & Preparation
6.2
Phase 1: Introduction & Science Demonstration
6.2.1
Cultural Connection: Mālama Wai
6.3
Phase 2: Guided Practice — Modeling the Yard
6.4
Phase 3: Independent Practice — Schoolyard Design Challenge
6.4.1
Student Action Steps
6.5
Phase 4: Closure & Strategic Support
6.5.1
Gallery Walk & Peer Review
6.5.2
Differentiation & Tiered Support
6.6
Worksheet
III
Middle School
7
Estimating Speed
7.1
How do we measure speed
7.2
Measuring the speed of a waʻa
7.3
Magic Speed Number
7.4
Classroom Activity
8
Four Quadrants
8.1
Micronesia
8.2
Hawaiʻi
8.3
Direction
8.4
Lesson: Cartesian Plane and Hawaiian Star Compass Symmetry
8.4.1
Objective
8.4.2
Materials
8.4.3
Procedure
8.4.4
Assessment
8.4.5
Homework
9
The Cartersian Coordinate System and the Hawaiian Star Compass
9.1
Student Learning Objectives
9.2
Student Learning Outcomes
9.3
Core Standards
9.4
Introduction
9.5
Classroom Activity
9.6
Extensions
9.7
Exit Ticket
10
Ratios: Anchoring
11
Star Compass
12
Making a Scale Model
12.1
Scale Model
IV
High School
13
Trigonometry
13.1
Trigonometry Through Wayfinding and Navigation Across the Pacific
14
Deviation
15
Geometry: Kūmau (North Star)
15.1
Student Learning Objectives
15.2
Student Learning Outcomes
15.3
Core Standards
15.4
Introduction
15.5
Geometry Explained
15.6
Classroom Activity
15.7
Extensions
15.8
Exit Ticket
15.9
Alternate Diagrams
V
Star-Compass-Construction
16
Lesson 1: Locating the Houses of the Star Compass
16.1
Introduction/Review of the Star Compass (25 mins)
16.2
Discussion on the Physical Properties of the Hawaiian Star Compass (5 mins)
16.3
Understanding the Relationship between Houses and Degrees on the Star Compass (5 mins)
16.4
Constructing One Quadrant on the Board (10 mins)
16.5
Angles on the Star Compass (10 mins)
16.6
Spacing Between Houses (5 mins)
17
Lesson 2: Boundaries of the Star Compass
17.1
Preparation in the Classroom (5 mins)
17.2
Outdoor Activity: Constructing the Star Compass with Students as Houses (20 mins)
17.3
Classroom Review of Outdoor Activity (10 mins)
17.4
Lesson 1 Review and Boundary Claculation (25 mins)
18
Lesson 3: Drawing the Circle
18.1
Classroom: What is a Circle
18.2
Outside: Making a Circle
18.3
The Star Compass Circle
18.4
Summary
18.4.1
What is a Circle
18.4.2
Outside: Making a Circle
18.4.3
The Star Compass Circle
19
Lessons 4 and 5: Installing Star Compass Houses
19.1
Cardinal-Directions
19.2
Finding-Manu
19.3
Finding ʻĀina
19.4
Finding the Center of the Houses
19.5
Locating the Boundary between Hikina and Lā
19.6
Locating House Boundaries
19.7
The Finished Star Compass
Backmatter
Colophon
Colophon
Website
kamuelayong.com
©2022 – 2024 Kamuela E Yong
This work is licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License. To view a copy of this license, visit
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