Mathematical Explorations to Support Common Core...going beyond numbers to mathematical thinking 
FOLDER NAME  QUESTIONS EXPLORED (DROPBOX LINK) 
big numbers
counting 
How big is a big number? Is there a biggest? What does a million look like? What does a googol look like? 
big numbers calculating (handout only; no lesson plan)  How fast is the earth moving? How far does the Earth (with us onboard) travel in a year? How fast is light? 
happysad
arithmetic 
What do you get when you add a happy and sad face? A Sappy? Playing with picture numbers (but really an introduction to integers). 
math art fractals

How can you construct a
picture of a tree with a mathematics rule? Can
math describe nature? 
math art polygrams 
What do you get inside a pentagon when you draw some diagonals? Do you always get a star when you draw the diagonals of a polygon? 
patterns in our number system  Patterns, patterns and more
patterns (exploring our fabulous number systems): Can
you find any vertical patterns? Can you find any
diagonal patterns? Can you find any patterns when you add
the digits of a number? 
topology 1 curves

Is that an open or close
curve? Are those points inside or out? 
topology 2 traceability  Can you trace that curve without lifting your pencil? What does it mean that the letters A and R are topologically equivalent? 
topology 3 networks  Can you discover a rule for when a curve is traceable? 
topology 4 map problem  What is the smallest number of colors you need to color a map? 
topology 5 Mobius Strip  How can a paper strip have
just one side? 
(DROPBOX LINK) 
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