Spirals

Marina Menna Barreto, Sep 2, 2018

This book will focus on the ideas we might use for the 2018-19 Elective course for division 2 (grade 4 to grade 6) at Renert School, Canada.

Table of Contents

  1. Motivation/Ideas
    1. Everything is a Number
    2. Spirals on quilts
  2. Spirals
    1. Baravelle's Spiral and Infinite Geometric Series (rev)
    2. Right Trapezoid Spiral
    3. Pythagorean Spiral
    4. Square Spiral - colored
    5. 4 Square Spirals - colored
    6. Triangles animation
    7. Square Spiral
    8. Square Spiral Logo
    9. spiral hexagonal animated colored
  3. Pentagon
    1. A puzzling pentagon 2
  4. References
    1. The Impact of GeoGebra in Math Teachers’ Professional Development
    2. N-rich Baravelle
    3. The Mathematics and Art of Spirals Workshop
    4. 4 types of spirals
    5. Discovering RELATIONSHIPS Involving BARAVELLE SPIRALS

1.

Motivation/Ideas

  • 1. Everything is a Number
  • 2. Spirals on quilts

1.1.

Everything is a Number

http://mathematik-kalender.uni-bayreuth.de/index.php?id=2737
Don’t Preach Facts – Stimulate Acts - Bridges Conference 2018
http://jsxgraph.uni-bayreuth.de/~carsten/ein/
http://jsxgraph.uni-bayreuth.de/wp/index.html
– Marina Menna Barreto

1.2.

–

2.

Spirals

  • 1. Baravelle's Spiral and Infinite Geometric Series (rev)
  • 2. Right Trapezoid Spiral
  • 3. Pythagorean Spiral
  • 4. Square Spiral - colored
  • 5. 4 Square Spirals - colored
  • 6. Triangles animation
  • 7. Square Spiral
  • 8. Square Spiral Logo
  • 9. spiral hexagonal animated colored

2.1.

Baravelle's Spiral and Infinite Geometric Series (rev)

– ldunlap, Bill Lombard

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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2.8.

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2.9.

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3.

Pentagon

  • 1. A puzzling pentagon 2

3.1.

A puzzling pentagon 2

– Underground Mathematics

4.

References

  • 1. The Impact of GeoGebra in Math Teachers’ Professional Development
  • 2. N-rich Baravelle
  • 3. The Mathematics and Art of Spirals Workshop
  • 4. 4 types of spirals
  • 5. Discovering RELATIONSHIPS Involving BARAVELLE SPIRALS

4.1.

The Impact of GeoGebra in Math Teachers’ Professional Development

http://archives.math.utk.edu/ICTCM/VOL23/S113/paper.pdf
– Marina Menna Barreto

4.2.

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4.3.

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4.4.

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4.5.

–

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