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Fractals – Lesson 1 Introduction to Fractals Lesson 1 - Overview 1. 2. 3. 4. What do you know already? What is a fractal? Making a fractal Using your fractal to spot patterns CEDS – Study Plus in Cornwall What do we know already? • • • • • • nth term Sequences Linear expressions Fractions Term-to-term rules Position-to-term rules CEDS – Study Plus in Cornwall Question One Here are the first 5 numbers of a simple sequence 1, 5, 9, 13, 17 … write down the next two numbers of the sequence write down in terms of n an expression for the nth term in this sequence CEDS – Study Plus in Cornwall Question Two Each term of a number sequence is made by adding1 to the numerator and 2 to the denominator of the previous term. Here is the beginning of the number sequence: 1 , 2 , 3 , 4 , 5 , 3 5 7 9 11 Write an expression for the nth term of the sequence. CEDS – Study Plus in Cornwall ... Question Three • The nth term of a different sequence is n n2 + 1 • The first term of the sequence is • Write down the next three terms. CEDS – Study Plus in Cornwall 1 2 Fractals Curricular targets • Begin to use linear expressions to describe the nth term of an arithmetic sequence, justifying its form by referring to the activity or practical context from which it was generated. (SFG step 6) • Generate terms of a sequence using termto-term and position-to-term definitions of a sequence, on paper and using ICT, and write an expression to describe the nth term of an arithmetic sequence. (SFG: step 7) CEDS – Study Plus in Cornwall Learning Objective We are learning to • Spot patterns in fractals • Measure accurately Learning Outcome By the end of the lesson you will: • Know what a fractal is • Have made a 3D fractal and used it to explore a fraction sequence CEDS – Study Plus in Cornwall Learning outcome By the end of the lesson you will: • Know what a fractal is • Have made a 3D fractal and used it to add simple fractions. By the end of the lesson you will: • Know what a fractal is • Have made a 3D fractal and used it to add simple fractions. CEDS – Study Plus in Cornwall What is a fractal? • Real life fractals • Fractal’s Formulae • Mandlebrot CEDS – Study Plus in Cornwall origi nal l ength Fol d 1 1 2 Fol d 2 3 CEDS – Study Plus in Cornwall Learning outcome By the end of the lesson you will: • Know what a fractal is • Have made a 3D fractal and used it to add simple fractions. CEDS – Study Plus in Cornwall
