Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.
Pascal's pattern-packed triangle is a potent puzzle for pupils to ponder.
When we're adding and subtracting, do evens make odds into evens? Do odds make evens odd? Which one hasâ€¦ more power!?
Say you have a dollar. Say you can double that dollar each day: $1, $2, $4, and so on. How long will it take to reachâ€¦ one million dollars? Not as long as you might think!