Unraveling the Fibonacci Sequence: Lessons in Mathematics & Nature
Fibonacci Whole Class Sequence
Lesson One
Introduction to Fibonacci, try to understand
how the sequence is built, use addition
strategies to build the sequence, visualise
with counters/macaroni
Lesson Two
Consider the Fibonacci pyramid, look for the
patterns, see what happens when you change
the exterior numbers to 2s and 3s – can you
make links back to the F sequence?
Lesson 3
Observe the golden spiral in nature,
understand how the spiral is created, mark
out small spiral on paper then take chalk and
metre sticks outside
Lesson 4
Attempt to create sketches that link to the
global goals using the golden spiral template
Why this guy here
Why this guy here
i
i
s an absolute legend
s an absolute legend
Fibonacci
Fibonacci
Fibonacci was an Italian
Fibonacci was an Italian
mathematician born in Pisa
mathematician born in Pisa
Can you
Can you
spot Italy?
spot Italy?
He was born nearly 1000
He was born nearly 1000
years ago (long before
years ago (long before
c
c
alculators)
alculators)
Yet, he discovere
Yet, he discovere
d a
d a
s
s
ecret number pattern…
ecret number pattern…
(I’m telling you, this guy is a rockstar!)
(I’m telling you, this guy is a rockstar!)
Here’s the sequence
Here’s the sequence
:
:
0
0
1
1
1
1
2
2
3
3
Can you figure out how it is created?
Can you figure out how it is created?
Mr Minchin, this
Mr Minchin, this
i
i
s w
s w
hen you go
hen you go
to the board…
to the board…
Can you continue the pattern?
Can you continue the pattern?
How many even numbers are there?
How many even numbers are there?
How many odd numbers?
How many odd numbers?
Can you show it with macaroni?
Can you show it with macaroni?
How many ways can you make
How many ways can you make
15
15
1
1
1
1
1
1
1
1
2
2
1
1
1
1
3
3
3
3
1
1
1
1
4
4
6
6
4
4
1
1
This is a Fibonacci
This is a Fibonacci
Pyramid.
Pyramid.
Can you work out how
Can you work out how
i
i
t is created?
t is created?
What if you changed
What if you changed
the 1s to 2s?
the 1s to 2s?
What about 3s?
What about 3s?
1
1
1
1
1
1
1
1
2
2
1
1
1
1
3
3
3
3
1
1
1
1
4
4
6
6
4
4
1
1
1
1
1
1
2
2
3
3
5
5
How does this spiral l
How does this spiral l
ink
ink
to the Fibonacci numbers?
to the Fibonacci numbers?
Let’s take it outside!
Let’s take it outside!
Using the golden ratio, can you create images that to the Global Goals?
Using the golden ratio, can you create images that to the Global Goals?
No:
No:
No:
No:
No:
No:
Join us on a journey through the enigmatic Fibonacci sequence with engaging lessons on its construction, exploration of mathematical patterns, observations of the golden spiral in nature, and creative activities linking to global goals. Discover the legacy of Fibonacci, the Italian mathematician, and delve into the intriguing world of number patterns and sequences.
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Presentation Transcript
Fibonacci Whole Class Sequence Lesson One Introduction to Fibonacci, try to understand how the sequence is built, use addition strategies to build the sequence, visualise with counters/macaroni Lesson Two Consider the Fibonacci pyramid, look for the patterns, see what happens when you change the exterior numbers to 2s and 3s can you make links back to the F sequence? Lesson 3 Observe the golden spiral in nature, understand how the spiral is created, mark out small spiral on paper then take chalk and metre sticks outside Lesson 4 Attempt to create sketches that link to the global goals using the golden spiral template
Why this guy here is an absolute legend Fibonacci
Fibonacci was an Italian mathematician born in Pisa
He was born nearly 1000 years ago (long before calculators) Yet, he discovered a secret number pattern (I m telling you, this guy is a rockstar!)
Heres the sequence: 0 1 1 2 3 Can you figure out how it is created?
Can you continue the pattern? How many even numbers are there? How many odd numbers? Can you show it with macaroni?
How many ways can you make 15 2 0 1 1 3 5 8 13 21
1 This is a Fibonacci Pyramid. 1 1 1 2 1 1 3 3 1 1 4 6 4 1 Can you work out how it is created? What if you changed the 1s to 2s? What about 3s?
1 1 1 2 1 1 1 2 1 1 3 3 1 1 4 6 4 1 3 5
Using the golden ratio, can you create images that to the Global Goals? No: No: No:
