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Building Powerful Numeracy from Whole Numbers to Ratios, 5-7

Building Powerful Numeracy from Whole Numbers to Ratios, 5-7. Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net facebook.com/numeracy. Math is figure-out-able!. pharris@byu.net. 0.26 x 24. pharris@byu.net.

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Building Powerful Numeracy from Whole Numbers to Ratios, 5-7

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  1. Building Powerful Numeracy from Whole Numbers to Ratios, 5-7 • Pamela Weber Harris • @pwharris • pamelawharris.com • pharris@byu.net • facebook.com/numeracy

  2. Math is figure-out-able! pharris@byu.net

  3. 0.26 x 24 pharris@byu.net

  4. Counting StrategiesAdditive ThinkingMultiplicative ThinkingProportional ReasoningAlgebraic Reasoning pharris@byu.net

  5. 15 - 7 pharris@byu.net

  6. Counting RackRekenrek pamelawharris.com

  7. Counting RackRekenrek

  8. Problem Strings

  9. As Close As It Gets 409 + 1.19 a) 400 b) 410 c) 419 d) 500

  10. As Close As It Gets 13.2 + 1,989 a) 14 b) 1,900 c) 2,000 d) 2,100

  11. As Close As It Gets a) 0 b) 0.5 c) 0.75 d) 1

  12. Relational Thinking 36 + 97 = ______ + 100 3,554+2,849 = 3,403+ ____ True or False? 19.8 + 2.03 = 20 + 0.03

  13. As Close As It Gets 14,009 - 9.19 a) 14,000 b) 5,000 c) 13,000 d) 4,000

  14. As Close As It Gets 1,002 - 899 • a) 3 • b) 100 • c) 200 • d) 300

  15. As Close As It Gets • a) 5 • b) 6 • c) 4 • d) 3

  16. Relational Thinking 36 - 19 = ______ - 20 3,554 - 2,849 = ______ - 3,000 True or False? 6.2 - 3.8 = 6 - 4 19.8 - 1.98 = 20 - 2

  17. Counting StrategiesAdditive ThinkingMultiplicative ThinkingProportional ReasoningAlgebraic Reasoning pharris@byu.net

  18. 11 x 12 pharris@byu.net

  19. 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.

  20. 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! pharris@byu.net

  21. ONE FACTS ZERO FACTS

  22. ONE FACTS ZERO FACTS DOUBLE

  23. ONE FACTS ZERO FACTS DOUBLE DOUBLE + ONE

  24. ONE FACTS ZERO FACTS DOUBLE DOUBLE + ONE DOUBLE, DOUBLE

  25. DOUBLE, DOUBLE DOUBLE ONE FACTS ZERO FACTS DOUBLE DOUBLE + ONE DOUBLE, DOUBLE

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

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

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

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

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

  31. Practice with a Game pharris@byu.net

  32. TI-Nspire, 84, 83 and APPS pharris@byu.net

  33. How to Build Multiplicative & Proportional Reasoning at the Same Time? • Good, rich contexts - See Cathy Fosnot • Mini-lesson: Problem Strings pharris@byu.net

  34. 2 x 27 4 x 27 8 x 27 10 x 27 9 x 27 5 x 27 100 x 27 99 x 27 324/27 405/27 Problem Strings pharris@byu.net

  35. Consider the Multiplication and Division Algorithms pharris@byu.net

  36. Graph it pharris@byu.net

  37. What kind of relation? • Open: • packs sticks.tns • Enter the values in lists • Enter the equation in • What questions could • you ask? pharris@byu.net

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