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Building Powerful Numeracy from Whole Numbers to Ratios, 5-7 Pamela Weber pamelawharris.com facebook.com/numeracy.

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Presentation on theme: "Building Powerful Numeracy from Whole Numbers to Ratios, 5-7 Pamela Weber pamelawharris.com facebook.com/numeracy."— Presentation transcript:

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

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5 Counting Strategies Additive Thinking Multiplicative Thinking Proportional Reasoning Algebraic Reasoning pharris@byu.net

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7 15 - 7 pharris@byu.net

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9 Counting Rack Rekenrek pamelawharris.com

10 Counting Rack Rekenrek

11 Problem Strings

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

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

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

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

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

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

19 As Close As It Gets a) 5b) 6 c) 4d) 3

20 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

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29 Counting Strategies Additive Thinking Multiplicative Thinking Proportional Reasoning Algebraic Reasoning pharris@byu.net

30 11 x 12 pharris@byu.net

31 132... 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.

32 I didnt 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

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34 ONE FACTS ZERO FACTS

35 ONE FACTS ZERO FACTSDOUBLE

36 ONE FACTS ZERO FACTSDOUBLE DOUBLE + ONE

37 ONE FACTS ZERO FACTSDOUBLE DOUBLE + ONE DOUBLE, DOUBLE

38 ONE FACTS ZERO FACTSDOUBLE DOUBLE + ONE DOUBLE, DOUBLE DOUBLE

39 ONE FACTS ZERO FACTSDOUBLE DOUBLE + ONE DOUBLE, DOUBLE TENS DOUBLE, DOUBLE DOUBLE

40 ONE FACTS ZERO FACTSDOUBLE DOUBLE + ONE DOUBLE, DOUBLE TENS NINES DOUBLE, DOUBLE DOUBLE

41 ONE FACTS ZERO FACTSDOUBLE DOUBLE + ONE DOUBLE, DOUBLE TENS NINES 5 IS HALF OF 10 DOUBLE, DOUBLE DOUBLE

42 ONE FACTS ZERO FACTSDOUBLE DOUBLE + ONE DOUBLE, DOUBLE TENS NINES 5 IS HALF OF 10 5 AND ONE MORE DOUBLE, DOUBLE DOUBLE

43 ONE FACTS ZERO FACTSDOUBLE DOUBLE + ONE DOUBLE, DOUBLE TENS NINES 5 IS HALF OF 10 5 AND ONE MORE DOUBLE, DOUBLE DOUBLE

44 Practice with a Game pharris@byu.net

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

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

47 Proble m Strings 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 pharris@byu.net

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

49 Graph it pharris@byu.net

50 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

51 Proble m Strings 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 pharris@byu.net

52 Proble m Strings PBCC 2 4 8 10 9 6 5 3 400 450 456 18 25 pharris@byu.net

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58 Proble m Strings 25 x 36 1/4 x 36 0.25 x 36 0.26 x 36 0.24 x 36 0.25 x 24 0.75 x 24 0.76 x 24 pharris@byu.net

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60 Math is Figure-out- able Look to most efficient strategies and build proportional reasoning at the same time Teachers build own numeracy Its about relationships: - Among numbers to solve problems - Between teachers and students to build young mathematicians pharris@byu.net

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


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