How Odd
How many odd numbers are there between $3$ and $11$?
How many odd numbers are there between $4$ and $11$?
What do you notice? Can you explain your observation?
Can you find any other pairs of numbers which have this same number
of odds between them?
Can you find a pair of numbers which have four odd numbers between
them?
Can you find another pair of numbers which have four odds between
them? And another pair?
How would you find a pair of numbers that have five odds between
them? Six odds?
How would you explain to someone else how to find a pair of
numbers that have a certain number of odds between them?