Circle & Circumference

spkwan, Mar 6, 2020

created 2020/03/06 revised 2020/03/31

Table of Contents

  1. a) Problems constructed by OrChiming
    1. 應用圓周公式：題 1
    2. 應用圓周公式：題 2
    3. 應用圓周公式：題 3
    4. 應用圓周公式：題 4
    5. 應用圓周公式：題 5
    6. 應用圓周公式：題 6
    7. 應用圓周公式：題 7
    8. 應用圓周公式：題 8
    9. 應用圓周公式：題 9
    10. 應用圓周公式：題 10
    11. 應用圓周公式：題 11
    12. 應用圓周公式：題 12
    13. 應用圓周公式：題 13
  2. b) Problems constructed by PearsonHK
    1. 題 1
    2. 題 2
    3. 題 3
    4. 題 4
    5. 題 5
    6. 題 6
    7. 題 7
  3. c) Problems constructed by spkwan
    1. Circle & Circumference
    2. 'Heart' shape
    3. Circumference Problem 1B
    4. 'Rugby' shape & its Perimeter
    5. 'Rugby' shape & its Perimeter
    6. 'Rugby' shape & its Perimeter
    7. 'Dolphin' shape
  4. d) Word Problems selected
    1. 圓周題-延伸學習
    2. 圓周公式應用題1
    3. 內周 & 外周
    4. 圓周公式應用題2
    5. 花瓣
    6. 403　４つの正方形の面積の関係は？
  5. e) Learning Guidance
    1. On-line Lectures
    2. On-line Learning w/ Teachers' narration
    3. On-line Activities
    4. On-line Activities
    5. Worksheets selected
    6. PowerPoints selected
    7. Assessment Qs selected
    8. Lessons for Analysis
    9. Kahoot
  6. f) Spinning & Rolling
    1. A Spinning Wheel
    2. Gear
    3. Cycloid Animation!
    4. bike
    5. Spinning Your Wheels
    6. Rolling Polygon bike
    7. draaiende driehoeken - Reuleaux fiets
    8. Area of Circle
    9. Animation
    10. Rolling Coin 滾動的硬幣
    11. Rolling Circle
    12. Spirograph
  7. g) Paper Folding
    1. 摺紙-圓
    2. LMOrigami20 Robert Neale Pinwheel-Ring-Pinwheel aka Magic Star
    3. Wholemovement: Folding the Circle for Information

1.

a) Problems constructed by OrChiming

my sincere gratitude to OrChiming

  • 1. 應用圓周公式：題 1
  • 2. 應用圓周公式：題 2
  • 3. 應用圓周公式：題 3
  • 4. 應用圓周公式：題 4
  • 5. 應用圓周公式：題 5
  • 6. 應用圓周公式：題 6
  • 7. 應用圓周公式：題 7
  • 8. 應用圓周公式：題 8
  • 9. 應用圓周公式：題 9
  • 10. 應用圓周公式：題 10
  • 11. 應用圓周公式：題 11
  • 12. 應用圓周公式：題 12
  • 13. 應用圓周公式：題 13

1.1.

應用圓周公式：題 1

– Anthony OR 柯志明

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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1.8.

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1.9.

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1.10.

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1.11.

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1.12.

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1.13.

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2.

b) Problems constructed by PearsonHK

my sincere gratitude to PearsonHK

  • 1. 題 1
  • 2. 題 2
  • 3. 題 3
  • 4. 題 4
  • 5. 題 5
  • 6. 題 6
  • 7. 題 7

2.1.

題 1

– 小學數學與生活

2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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2.7.

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3.

c) Problems constructed by spkwan

my learning/teaching records

  • 1. Circle & Circumference
  • 2. 'Heart' shape
  • 3. Circumference Problem 1B
  • 4. 'Rugby' shape & its Perimeter
  • 5. 'Rugby' shape & its Perimeter
  • 6. 'Rugby' shape & its Perimeter
  • 7. 'Dolphin' shape

3.1.

Circle & Circumference

Circumference of these Circles
Circumference Sum of Touching Circles through a Line
worksheet
Squares on the Diagonal
Conference Paper
[size=85][url=https://www.eduhk.hk/primaryed/eproceedings/fullpaper/RN338.pdf]https://www.eduhk.hk/primaryed/eproceedings/fullpaper/RN338.pdf[/url][/size]
Lesson for Analysis
[size=85]https://youtu.be/yQUIsqRZ8Os[/size]
– spkwan

3.2.

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3.3.

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3.4.

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3.5.

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3.6.

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3.7.

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4.

d) Word Problems selected

problem solving

  • 1. 圓周題-延伸學習
  • 2. 圓周公式應用題1
  • 3. 內周 & 外周
  • 4. 圓周公式應用題2
  • 5. 花瓣
  • 6. 403　４つの正方形の面積の関係は？

4.1.

圓周題-延伸學習

數題
圓周差
想一想
孩子瞭解並求得解答。[br]這道數學題還可以怎樣作延伸討論？[br]下面的GeoGebra檔案或許能給你一些意念。
練習題

Invalid video URL: https:/youtu.be/YsvpWV52cv0

想一想
還有別的計算方法嗎？[br][br]ZOOM會議 2020/03/12[br]https://youtu.be/A4o3m_YgFDw
– spkwan

4.2.

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4.3.

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4.4.

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4.5.

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4.6.

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5.

e) Learning Guidance

on-line resources for teachers

  • 1. On-line Lectures
  • 2. On-line Learning w/ Teachers' narration
  • 3. On-line Activities
  • 4. On-line Activities
  • 5. Worksheets selected
  • 6. PowerPoints selected
  • 7. Assessment Qs selected
  • 8. Lessons for Analysis
  • 9. Kahoot

5.1.

On-line Lectures

Khan Academy
[size=85]https://www.youtube.com/watch?v=jyLRpr2P0MQ[/size]
Mometrix Academy
[size=85]https://www.youtube.com/watch?v=iwTkd0ieAzI[/size]
etv
[size=85]https://www.hkedcity.net/etv/resource/1049889426[/size]
etv
[size=85]https://www.hkedcity.net/etv/resource/346020689[/size]
康軒 - 圓周率與圓周長
[size=85]https://www.youtube.com/playlist?list=PLb5YXxuPmttCjIyqC-ayt1BNbtcpE2peH[/size]
雲尼教室
[size=85]https://www.hkedcity.net/etv/resource/1049889426[/size]
– spkwan

5.2.

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5.3.

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5.4.

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5.5.

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5.6.

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5.7.

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5.8.

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5.9.

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6.

f) Spinning & Rolling

visualization by GeoGebra

  • 1. A Spinning Wheel
  • 2. Gear
  • 3. Cycloid Animation!
  • 4. bike
  • 5. Spinning Your Wheels
  • 6. Rolling Polygon bike
  • 7. draaiende driehoeken - Reuleaux fiets
  • 8. Area of Circle
  • 9. Animation
  • 10. Rolling Coin 滾動的硬幣
  • 11. Rolling Circle
  • 12. Spirograph

6.1.

A Spinning Wheel

Cycloid
http://mathworld.wolfram.com/Cycloid.html[br][br]http://www.etudes.ru/en/etudes/cycloid/
– spkwan

6.2.

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6.3.

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6.4.

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6.5.

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6.6.

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6.7.

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6.8.

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6.9.

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6.10.

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6.11.

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6.12.

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7.

g) Paper Folding

recreational mathematics

  • 1. 摺紙-圓
  • 2. LMOrigami20 Robert Neale Pinwheel-Ring-Pinwheel aka Magic Star
  • 3. Wholemovement: Folding the Circle for Information

7.1.

摺紙-圓

– 蕭震

7.2.

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7.3.

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Information