Book Spirals

Marina Menna Barreto, Renert School, Dec 28, 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. Spirals on quilts
    2. Doodle Square Spirals (& reflections)
    3. 3D printed spirals?
    4. Fibonacci Puzzle
  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. Square Spiral
    7. Square Spiral Logo
    8. spiral hexagonal animated colored
  3. Fibonacci
    1. Lesson plan - Fibonacci Spirals
    2. Creating a square tool
    3. Fibonacci Spiral
    4. Creating a Fibonacci Spiral
    5. Creating a Fibonacci Heart animated
    6. Fibonacci Spiral Beating Heart
  4. Pentagon
    1. A puzzling pentagon 2
  5. 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. Spirals on quilts
  • 2. Doodle Square Spirals (& reflections)
  • 3. 3D printed spirals?
  • 4. Fibonacci Puzzle

1.1.

Spirals on quilts

– Marina Menna Barreto

1.2.

–

1.3.

–

1.4.

–

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. Square Spiral
  • 7. Square Spiral Logo
  • 8. spiral hexagonal animated colored

2.1.

Baravelle's Spiral and Infinite Geometric Series (rev)

– ldunlap, Bill Lombard

2.2.

–

2.3.

–

2.4.

–

2.5.

–

2.6.

–

2.7.

–

2.8.

–

3.

Fibonacci

  • 1. Lesson plan - Fibonacci Spirals
  • 2. Creating a square tool
  • 3. Fibonacci Spiral
  • 4. Creating a Fibonacci Spiral
  • 5. Creating a Fibonacci Heart animated
  • 6. Fibonacci Spiral Beating Heart

3.1.

Lesson plan - Fibonacci Spirals

Elective div 2 GGB Fibonacci Spiral
– Renert School

3.2.

–

3.3.

–

3.4.

–

3.5.

–

3.6.

–

4.

Pentagon

  • 1. A puzzling pentagon 2

4.1.

A puzzling pentagon 2

– Underground Mathematics

5.

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

5.1.

The Impact of GeoGebra in Math Teachers’ Professional Development

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

5.2.

–

5.3.

–

5.4.

–

5.5.

–

Information