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Connecting Representations

Published on Nov 03, 2017

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PRESENTATION OUTLINE

Setting the stage

 FOR CONNECTING REPRESENTATIONS
Photo by Ruel Calitis

Structural Thinking (MP7)
Attend to....
Organization and Properties of Number and Space

Photo by Alex Graves

Ask Yourself...

  • How can I "chunk" this to make sense of it?
  • How can I "change" the form to make it easier to work with?
  • Can I "connect" this to something else I know?
  • How can I use properties to uncover structure?
Photo by Eric Welch

"Put into Action"

  • "Chunk" complicated objects
  • "Change" the form of objects
  • "Connect" math ideas and representations
  • Recall and use properties, rules of operations and geometric relationships
Photo by Julian Evil

Find the value of the expression "in your head."
29 x 4

Photo by Prisoner 5413

I can break 29 into "chunks"...
29 x 4
4 x 29
4 x (20 + 9)
4 x 20 + 4 x 9

I can "change" the form of
4 x 29, and then change the form of 29...
4 x 29
29 x 4
4 x (30 - 1)
4 x 30 - 4 x 1

Photo by coofdy

I can "connect" multiplying by 4 to what I know about quarters...
29 x 4
25 x 4 = 100
4 x 4 = 16
4 x 25 + 4 x 4

Structural Thinking shifts