Eratosthenes of Cyrene (c. 276 BC – c.194 BC) was a Greek polymath: a mathematician, geographer, poet, astronomer, and music theorist. The sieve of Eratosthenes is an ancient algorithm for finding all prime numbers up to any given limit.
PRIME NUMBERS
What is the fundamental theorem of arithmetic?
Key questions
What are factors and mutliples?
What are prime numbers?
Can we find a product of prime factors?
How do we find the HCF and LCM?
Can we problem solve with factors?
What are perfect numbers?
What are sets and set notation?
Can we interpret and construct Venn diagrams?
7 lessons
Specification detail
Literacy
stories that set a frame or background
stories that accompany or intertwine
stories that introduce
stories that explain
stories that ask a question
stories that entertain
The Number Devil by Hans Magnus Enzensburger
Bean Thirteen by Matthew McEllicott
Eratosthenes
Nicomachus
My Even Day by Doris Fisher
Introduce...
factor trees - 2, 3
factors and proper factors - 1, 5
goldbach - 2
hcf and lcm - 3, 4
list of primes - 2
some set basics - 8
odd even - 1
primes - 1, 2, 3
primitives - 1, 2
sets search - 7
v e f sorting - 8
Develop...
complement - 7
coprime - 5
finding hcf and lcm - 4, 8
hcf lcm problems - 4
intersection - 7
pokemon sorting - 8
polignac - 1, 2
prime factors and venn - 2, 3, 4, 8
prime investigations 1 - 1, 2, 3, 4, 5
prime investigations 2 - 1, 2, 3, 4, 5
Extend...
euclid's proof - 2
on factor trees - 1, 2, 3
perfect numbers - 1, 2, 3, 5
subsets - 7
union - 7
venn sets etc - 7
a strange snooker table - 4