Mathematical Explorations to Support Common Core
...going beyond numbers to mathematical thinking
|FOLDER NAME||QUESTIONS EXPLORED (DROPBOX LINK)|
||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?|
||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?
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