Fractals Lesson 2 Writing algorithms to produce fractals

Fractals – Lesson 2 Writing algorithms to produce fractals

CEDS – Study Plus in Cornwall

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. CEDS – Study Plus in Cornwall

Lesson 2 - Overview 1. 2. 3. 4. Revision of key vocabulary Visualisation of a fractal Writing an algorithm Golden rules for writing algorithms CEDS – Study Plus in Cornwall

1. Revision of Key Vocabulary CEDS – Study Plus in Cornwall

2. Visualisation Activity CEDS – Study Plus in Cornwall

Visualisation - Step Three Von Koch Snowflake CEDS – Study Plus in Cornwall

Algorithm CEDS – Study Plus in Cornwall

Another Algorithm! Step 1: Step 2: Step 3: Draw a square. Remove the inner third of each line segment and form another square where the side was removed. How can we Repeat step 2 improve this? CEDS – Study Plus in Cornwall

The task 1. Work in pairs to write an algorithm. 2. Pairs join together with another pair with different fractals. 3. Try out the algorithms. 4. Refine algorithms in groups of 4 using feedback Resources needed Group A: Resource sheet 2. 1 Group B: Resource sheet 2. 2 CEDS – Study Plus in Cornwall

Group A (Resource 2. 1) CEDS – Study Plus in Cornwall

Group A (Resource 2. 1) Step 1 Step 3 Step 2 Step 4 Sierpinski’s Triangle CEDS – Study Plus in Cornwall

Group B (Resource 2. 2) Step 1 Step 2 Step 3 CEDS – Study Plus in Cornwall Step 4

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? CEDS – Study Plus in Cornwall

Golden Rules Our golden rules for writing algorithms are • …… CEDS – Study Plus in Cornwall

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. CEDS – Study Plus in Cornwall