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.
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
Key questions
What are factors and mutliples?
What are prime numbers?
Can we find a product of prime factors?
Can we find the HCF and LCM of 2 or more numbers?
PRIME NUMBERS
What is the fundamental theorem of arithmetic?
~5 lessons
Bean Thirteen by Matthew McEllicott
specification detail
Introduce...
primes - 1, 2
prime factors - 3
list of primes - 2
hcf and lcm - 1, 4
factor trees - 1
Bean Thirteen - narrative
Eratosthenes - narrative
a strange snooker table - 1, 4
Develop...
on-factor-trees - 1, 2, 3
finding hcf and lcm - 1, 4
100 square as product of primes - 1, 2, 3
primitives - 4
hcf and lcm given - 1, 3, 4
prime factors and venns - 3, 4
Extend...
lcm hcf star matching - 1, 2, 3, 4
polignac - 2
hcf lcm problems - 1, 2, 3, 4
goldbach - 2
co-prime - 1, 2
eulers totient function - 1, 2
euclid's proof - 2