Priority Standard #1: Students will explore historical topics and individuals who have contributed significantly to the development of mathematics.
Priority Standard #2: Students will develop an appreciation for math and its relevance in their educational experience.
Priority Standard #3: Students will explore non-traditional topics through application of previous mathematical skills and procedures.
Priority Standard #4: Students will solve problems by applying and adapting a variety of appropriate strategies and using appropriate technology.
Priority Standard #5: Students will communicate mathematically
Topics and "I can" Statements:
Unit 5 Resources:
Unit 5: Note/Homework Packet- Blank Copy
Unit 5: Planning Schedule (8 Days Total)
Unit 5- Topic #1: Sensitive Dependence on Initial Conditions pg. 2-
Lesson 1: Sensitive Dependence on Initial Conditions
Sensitive Dependence on Initial Conditions: Guided Notes page 2
Guided Notes page 3
Guided Notes page 4
Sensitive Dependence on Initial Conditions: Lesson Video #1
Lesson Video #2
Lesson Video #3
Unit 5- Topic #2: Sierpinski Triangle and Variations
Lesson 2: Sierpinski's Triangle
Sierpinski's Triangle: Guided Notes page 7
Guided Notes page 8
Sierpinski's Triangle: Lesson Video #1
Lesson Video #2
Unit 5- Topic #3: Pascal's Triangle
Lesson 3: Pascal's Triangle
Pascal's Triangle: Guided Notes page 11
Pascal's Triangle: Lesson Video
Unit 5- Topic #4: The Chaos Game
Lesson 4: The Chaos Game
The Chaos Game: Guided Notes
The Chaos Game: Lesson Video
Unit 5- Topic #5: The Koch Curve and Snowflake
Lesson 5: The Koch Curve and Snowflake
The Koch Curve and Snowflake: Guided Notes page 17
Guided Notes page 19
Guided Notes page 20
The Koch Curve and Snowflake: Lesson Video
Extended Practice #5 on page 19 and 20: Video #1
Extended Practice #5 on page 19 and 20: Video #2
Unit 5- Topic 6: The Multiple Reduction Copy Machine
Lesson 6: The Multiple Reduction Copy Machine
The Multiple Reduction Copy Machine: Guided Notes page 21
The Multiple Reduction Copy Machine: Lesson Video
Unit 5- Topic 7: The Mandelbrot Set and Fractals
Lesson 7: The Mandelbrot Set and Fractals
The Mandelbrot Set and Fractals: Guided Notes
The Mandelbrot Set and Fractals: Lesson Video
Finding the Hidden Dimension Video (page 26)
Priority Standard #2: Students will develop an appreciation for math and its relevance in their educational experience.
Priority Standard #3: Students will explore non-traditional topics through application of previous mathematical skills and procedures.
Priority Standard #4: Students will solve problems by applying and adapting a variety of appropriate strategies and using appropriate technology.
Priority Standard #5: Students will communicate mathematically
Topics and "I can" Statements:
- I can better understand and appreciate the limitations of calculators and computers.
- I can construct Sierpinski's Triangle and describe the patterns contained in it.
- I can relate Pascal's Triangle to fractals.
- I can identify interesting number patterns in Pascal's Triangle.
- I can identify a connection between chaos and fractals.
- I can construct the Koch Snowflake.
- I can describe the perimeter and area of the Koch Snowflake.
- I can explain and describe what is formed with a 3-lens reduction copy machine.
- I can understand the algorithm that forms the Mandelbrot Set.
- I can create a fractal when given the rule.
Unit 5 Resources:
Unit 5: Note/Homework Packet- Blank Copy
Unit 5: Planning Schedule (8 Days Total)
Unit 5- Topic #1: Sensitive Dependence on Initial Conditions pg. 2-
Lesson 1: Sensitive Dependence on Initial Conditions
Sensitive Dependence on Initial Conditions: Guided Notes page 2
Guided Notes page 3
Guided Notes page 4
Sensitive Dependence on Initial Conditions: Lesson Video #1
Lesson Video #2
Lesson Video #3
Unit 5- Topic #2: Sierpinski Triangle and Variations
Lesson 2: Sierpinski's Triangle
Sierpinski's Triangle: Guided Notes page 7
Guided Notes page 8
Sierpinski's Triangle: Lesson Video #1
Lesson Video #2
Unit 5- Topic #3: Pascal's Triangle
Lesson 3: Pascal's Triangle
Pascal's Triangle: Guided Notes page 11
Pascal's Triangle: Lesson Video
Unit 5- Topic #4: The Chaos Game
Lesson 4: The Chaos Game
The Chaos Game: Guided Notes
The Chaos Game: Lesson Video
Unit 5- Topic #5: The Koch Curve and Snowflake
Lesson 5: The Koch Curve and Snowflake
The Koch Curve and Snowflake: Guided Notes page 17
Guided Notes page 19
Guided Notes page 20
The Koch Curve and Snowflake: Lesson Video
Extended Practice #5 on page 19 and 20: Video #1
Extended Practice #5 on page 19 and 20: Video #2
Unit 5- Topic 6: The Multiple Reduction Copy Machine
Lesson 6: The Multiple Reduction Copy Machine
The Multiple Reduction Copy Machine: Guided Notes page 21
The Multiple Reduction Copy Machine: Lesson Video
Unit 5- Topic 7: The Mandelbrot Set and Fractals
Lesson 7: The Mandelbrot Set and Fractals
The Mandelbrot Set and Fractals: Guided Notes
The Mandelbrot Set and Fractals: Lesson Video
Finding the Hidden Dimension Video (page 26)