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Teacher Guide

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How many kernels of popcorn will fit in the bowl?
Make an estimate.


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Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.

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Coherent by Design reveals the principles behind districts that sustain math improvement.

If you’re responsible for math improvement beyond a single classroom, this book was written for you.

Inside the ebook, you’ll learn:

  • Why most math initiatives stall during implementation—and how to design for the “messy middle”
  • How alignment between district leaders, principals, and coaches shapes classroom instruction
  • What actually builds math teacher buy-in (and why it comes after clarity)
  • How conceptual understanding, fluency, and equity are system design issues
  • Why sustainable math improvement depends on structure—not heroics

Each principle is short, focused, and written specifically for K–12 mathematics systems.

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