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Decimal Multiplication & Division Like You’ve Never Seen

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  1. Decimal Multiplication & Division Like You’ve Never Seen • Pamela Weber Harris • @pwharris • pamelawharris.com • pharris@byu.net

  2. Book Signing • Pamela Weber Harris • Heinemann #516

  3. Math is figure-out-able!

  4. Counting Additive Multiplicative Proportional Reasoning Algebraic Reasoning

  5. 11 x 12

  6. 132 ... Um, I knew 10 x 12 = 120, and um, then I just add 12 because 1 x 12 = 12 and um I just add 12 to 120 and I got 132.

  7. I didn’t ask you if you know it, I asked you what it is.What do you know...and figure it out from there!

  8. ONE FACTS ZERO FACTS

  9. ONE FACTS ZERO FACTS DOUBLE

  10. ONE FACTS ZERO FACTS DOUBLE DOUBLE + ONE

  11. ONE FACTS ZERO FACTS DOUBLE DOUBLE + ONE DOUBLE, DOUBLE

  12. DOUBLE, DOUBLE DOUBLE ONE FACTS ZERO FACTS DOUBLE DOUBLE + ONE DOUBLE, DOUBLE

  13. DOUBLE, DOUBLE DOUBLE ONE FACTS ZERO FACTS DOUBLE DOUBLE + ONE DOUBLE, DOUBLE TENS

  14. DOUBLE, DOUBLE DOUBLE ONE FACTS ZERO FACTS DOUBLE DOUBLE + ONE DOUBLE, DOUBLE NINES TENS

  15. DOUBLE, DOUBLE DOUBLE ONE FACTS ZERO FACTS DOUBLE DOUBLE + ONE DOUBLE, DOUBLE NINES 5 IS HALF OF 10 TENS

  16. DOUBLE, DOUBLE DOUBLE ONE FACTS ZERO FACTS DOUBLE DOUBLE + ONE DOUBLE, DOUBLE NINES 5 AND ONE MORE 5 IS HALF OF 10 TENS

  17. Practice with a Game

  18. 2 x 274 x 278 x 2710 x 279 x 275 x 27100 x 2799 x 27 324/27 405/27 Problem Strings

  19. 2 x 3.24 x 3.28 x 3.210 x 3.29 x 3.25 x 3.2 15 x 3.2100 x 3.299 x 3.2 44.8/3.2 323.2/3.2 313.6/3.2 480/3.2 Problem Strings

  20. Problem Strings 3 x 86 x 48 x 64 x 1216 x 325 x 642.5 x 3.21.8 x 3.5

  21. Problem Strings

  22. Problem Strings 9 x 109 x 49 x 1410 x 117 x 1117 x 1112 x 161.2 x 16

  23. Problem Strings 7 x 607 x 5930 x 1229 x 126 x 46 x 406 x 396 x 0.16 x 4.16 x 3.9

  24. Problem Strings 8 x 608 x 598 x 0.18 x 0.28 x 6.28 x 5.848.8 / 847.2 / 8

  25. Counting Additive Multiplicative Proportional Reasoning Algebraic Reasoning

  26. Not just about any way to do a problem......

  27. The Landscape of Learning

  28. Math is Figure-out-able • Look to most efficient strategies • Teachers build own numeracy • It’s about relationships: • Among numbers to solve problems • Between teachers and students to build young mathematicians

  29. Decimal Multiplication & Division Like You’ve Never Seen • Pamela Weber Harris • facebook.com/numeracy • @pwharris • pamelawharris.com • pharris@byu.net Book signing Heinemann #516