Fibonacci Spirals

Marina Menna Barreto, Renert School, Jan 4, 2022

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. Starting
    1. Fibonacci
  2. Activity 1
    1. Creating a square tool
  3. Activity 2
    1. Creating a Fibonacci Spiral
  4. Activity 3
    1. Creating a Fibonacci Heart
    2. Fibonacci Spiral Beating Heart
  5. Puzzle
    1. Fibonacci Puzzle

1.

Starting

  • 1. Fibonacci

1.1.

Fibonacci

– Renert School

2.

Activity 1

  • 1. Creating a square tool

2.1.

Creating a square tool

Fibonacci Spiral Part A - Square tool
– Renert School

3.

Activity 2

  • 1. Creating a Fibonacci Spiral

3.1.

Creating a Fibonacci Spiral

Fibonacci Spiral Part B - Fibonacci spiral
– Renert School

4.

Activity 3

  • 1. Creating a Fibonacci Heart
  • 2. Fibonacci Spiral Beating Heart

4.1.

Creating a Fibonacci Heart

– Renert School

4.2.

–

5.

Puzzle

  • 1. Fibonacci Puzzle

5.1.

Fibonacci Puzzle

The inner rectangle is surrounded by 4 squares. Its length and width are shown. You can vary its dimensions by dragging B. [br][br]Some questions to consider:[br][list][*]Given the dimensions of the rectangle, find the area of the blue square.[/*][*]Given the areas of two of the squares, find the dimensions of the rectangle.[/*][*]Given the areas of the blue square and the inner rectangle, find the dimensions of the rectangle.[/*][*]The spiral consists of 4 quarter arcs. If the length of the part EF is 200 cm, what is the length of the part CDE? Furthermore, if the length of the part CD is 80 cm, what is the length of the part DE and BC?[/*][/list]
– Arthur Lee

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