Download palindromes - MHS-Integrated

Palindromes & Fibonacci
Numbers
What is a Palindrome?
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A palindrome is a word, phrase or number
that reads the same forwards or
backwards.
Origin – from Greek palindromos ‘running
back again’.
Some examples of palindromes are:
Bob, Viv
The numbers 99,101, 262, 747, 2002.
“Able was I, ere I saw Elba.”
Question 1
 When
both a
clock’s hands
are on 12, and
the sun is
overhead,
what time is it?
Question 2
 This
young
dog is a
palindrome.
Question 3
 This
part of the
body is a
palindrome.
Question 4
 This
member
of the family is
a palindrome.
Question 5
 This
member
of the family is
also a
palindrome.
Question 6
 This
type of
boat is a
palindrome.
Now let’s look at numbers.
Remember a palindrome reads
the same forwards and
backwards.
Question 7
 What
is the greatest palindromic
number less than 50?
Question 8
 What
is the smallest palindromic
number greater than 20?
Question 9
 What
is the next palindromic
number after the one you have
just found?
Question 10
 What
is the palindromic time you
might have a cup of tea just
before 10.00am.
Question 11
 What
was the last palindromic
year in the 20th Century?
Question 12
 What
was the first palindromic
year in the 21st Century?
The answers are:
 1.
noon
 2. pup
 3. eye
 4 mam/mum
 5. dad/pop
 6. kayak
 7.
44
 8. 22
 9. 33
 10. 9.59
 11. 1991
 12. 2002
Fibonacci Numbers
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0, 1, 1, 2, 3, 5, 8, 13, 21...
How does this sequence of numbers
continue??
Work with the person next to you, to
find your answer…
Solution
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Add two consecutive numbers from the
sequence to get the next one following
them.
This sequence is called Fibonacci
numbers. And it isn't just any ole
sequence of any ole numbers... it has
some amazing properties, plus it's
found in nature in many places.
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,
...
Where are Fibonacci numbers
found?
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For example, Fibonacci numbers are
found in
Petals on flowers
Seed heads
Pine cones
Leaf arrangements
Vegetables and Fruit