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Key Stage 4 The magic of maths...Key Stage 4 – The magic of maths The Fibonacci numbers Here is...
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https://www.oxfordsparks.ox.ac.uk/hand Key Stage 4 – The magic of maths Student worksheet Modelling with maths Mathematics is the science of patterns. Mathematicians, like Professor Alain Goriely at The University of Oxford, use these patterns to build mathematical models. These can be used to predict the behaviour and structure of objects that are too small or too big to be seen in detail, from molecules inside cells to whole galaxies. Mathematical models can also be used to engineer man-made structures that mimic nature. This is called biomimicry. One example is looking at how plant tendrils coil around their supports and using this to engineer better springs. Your task You will be spotting patterns in nature and using them to come up with a mathematical model. What to do 1. Work with a partner. Move around the classroom and look at the images. Count the numbers of repeating parts you can see e.g. how many petals are on the flowers or spirals in the pinecone? You may wish to mark the images with a pen to help you count. If you do this then make sure you wipe your marks away. 2. You will now have a lot of numbers! Write them down in order, missing out repeated ones. 3. Work with your partner to find a pattern in this sequence.
Transcript of Key Stage 4 The magic of maths...Key Stage 4 – The magic of maths The Fibonacci numbers Here is...
https://www.oxfordsparks.ox.ac.uk/hand
Key Stage 4 –
The magic of maths
Student worksheet
Modelling with maths
Mathematics is the science of patterns.
Mathematicians, like Professor Alain Goriely at The
University of Oxford, use these patterns to build
mathematical models.
These can be used to predict the behaviour and
structure of objects that are too small or too big to be
seen in detail, from molecules inside cells to whole
galaxies.
Mathematical models can also be used to engineer
man-made structures that mimic nature. This is called
biomimicry.
One example is looking at how plant
tendrils coil around their supports and
using this to engineer better springs.
Your task
You will be spotting patterns in nature and using them to come up with a
mathematical model.
What to do
1. Work with a partner. Move around the classroom and look at the
images. Count the numbers of repeating parts you can see e.g. how
many petals are on the flowers or spirals in the pinecone? You may
wish to mark the images with a pen to help you count. If you do this
then make sure you wipe your marks away.
2. You will now have a lot of numbers! Write them down in order,
missing out repeated ones.
3. Work with your partner to find a pattern in this sequence.
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Key Stage 4 – The magic of maths
The Fibonacci numbers
Here is Fibonacci's sequence. 1 1 2 3 5 8 13 21 34 55 ...
Write in the square of each number ...
What pattern do you notice?
Create a new sequence by adding up consecutive square numbers. The first number, 6, (1+1+4) has been added
for you. - - 6 ...
What pattern do you notice?
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Key Stage 4 – The magic of maths
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