What are the Fibonacci numbers, and what properties do they have?
How can the highest common factor of two numbers be found?
What is the Fundamental theorem of arithmetic, and why does it matter?
What does it mean to describe situations recursively?
How can results be proved using induction?
|Rich example||Euclid's algorithm|
|Building blocks||One step, two step|
|Scaffolded task||Division game|
|Scaffolded task||The Fundamental Theorem of Arithmetic|
|Problem requiring decisions||Multiplication magic square|
|Food for thought||A Diophantine equation|
|Food for thought||Factorial fun|
|Food for thought||LCM Sudoku|
|Investigation||Buckets and ponds|
|Go and think about it...||$S$-prime numbers|
|Go and think about it...||An olympiad question|
|Are any two Fermat numbers relatively prime?||R8677|
|Can we find a solution to $(n-3)^3+n^3=(n+3)^3$?||R9919|
|Can we find integers that satisfy $a^3 + 3b^3 = 9c^3$?||R7096|
|Can we prove these Fibonacci number results?||R9868|
|Can we show the sum of this series to $n$ terms is $n/(3n-1)$?||R5634|
|Can we write 33127 as the difference of two squares?||R6171|
|For how many integers $n$ is $n/(100-n)$ also an integer?||R8880|
|If $x^3 = 2x+1$, what is $x^k$ as a quadratic?||R8586|
|Two rules generate a sequence; what do the first 100 terms add to?||R7943|
|What is the primorial of a number?||R8811|
|What's the next number to occur in both sequences?||R9916|
|What's the smallest integer with 426 proper factors?||R7465|