Transcript Fractals - Torpoint

Fractals – Lesson 1
Introduction to Fractals
Lesson 1 - Overview
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3.
4.
What do you know already?
What is a fractal?
Making a fractal
Using your fractal to spot patterns
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What do we know already?
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nth term
Sequences
Linear expressions
Fractions
Term-to-term rules
Position-to-term rules
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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
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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
4
3
5
,
3
,
5
,
7
,
9
, ...
11
Write an expression for the nth term of
the sequence.
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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.
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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)
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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
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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.
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What is a fractal?
• Real life fractals
• Fractal’s Formulae
• Mandlebrot
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origi nal l ength
Fol d 1
1
2
Fol d 2
3
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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.
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