Fractals

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Fractals Lesson 2

• Writing algorithms to produce fractals

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(No Transcript)
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• Learning Objective
• We are learning to use and refine mathematical
  language in order to produce an effective
  algorithm.
• Learning Outcome
• By the end of the lesson you will
• Have successfully written an algorithm to produce
  a fractal.

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Lesson 2 - Overview

1. Revision of key vocabulary
2. Visualisation of a fractal
3. Writing an algorithm
4. Golden rules for writing algorithms

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1. Revision of Key Vocabulary
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2. Visualisation Activity
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Visualisation - Step Three
Von Koch Snowflake
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• Algorithm

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Another Algorithm!

• Step 1 Draw a square.
• Step 2 Remove the inner third of each line
  segment and form another square where the side
  was removed.
• Step 3 Repeat step 2

How can we improve this?
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The task

• Work in pairs to write an algorithm.
• Pairs join together with another pair with
  different fractals.
• Try out the algorithms.
• Refine algorithms in groups of 4 using feedback
• Resources needed
• Group A Resource sheet 2.1
• Group B Resource sheet 2.2

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Group A (Resource 2.1)
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Group A (Resource 2.1)
Sierpinskis Triangle
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Group B (Resource 2.2)
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Reflection on the task

• Q. What keywords are important in your algorithm?
• Q. How did you refine your algorithm after
  trialling it?
• Q. Why is it important to use precise language?

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Golden Rules

• Our golden rules for writing algorithms are

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• Learning Objective
• Use and refine mathematical language in order to
  produce an effective algorithm.
• Learning Outcome
• By the end of the lesson you will
• Have successfully written an algorithm to produce
  a fractal.