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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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Math is figure-out- able!

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0.26 x 24

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Counting Strategies Additive Thinking Multiplicative Thinking Proportional Reasoning Algebraic Reasoning

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Counting Rack Rekenrek pamelawharris.com

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Counting Rack Rekenrek

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Problem Strings

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As Close As It Gets a) 400b) 410 c) 419d) 500

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

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

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Relational Thinking = ______ ,554+2,849 = 3,403+ ____ True or False? =

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As Close As It Gets 14, a) 14,000b) 5,000 c) 13,000d) 4,000

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As Close As It Gets 1, a) 3b) 100 c) 200d) 300

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

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Relational Thinking = ______ , ,849 = ______ - 3,000 True or False? = =

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Counting Strategies Additive Thinking Multiplicative Thinking Proportional Reasoning Algebraic Reasoning

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11 x 12

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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.

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I didnt ask you if you know it, I asked you what it is. What do you know... and figure it out from there!

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ONE FACTS ZERO FACTS

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ONE FACTS ZERO FACTSDOUBLE

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ONE FACTS ZERO FACTSDOUBLE DOUBLE + ONE

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ONE FACTS ZERO FACTSDOUBLE DOUBLE + ONE DOUBLE, DOUBLE

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ONE FACTS ZERO FACTSDOUBLE DOUBLE + ONE DOUBLE, DOUBLE DOUBLE

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

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

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

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

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

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Practice with a Game

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TI-Nspire, 84, 83 and APPS

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

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Proble m Strings 2 x 27 4 x 27 8 x x 27 9 x 27 5 x x x /27 405/27

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Consider the Multiplication and Division Algorithms

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Graph it

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What kind of relation? Open: packs sticks.tns Enter the values in lists Enter the equation in What questions could you ask?

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Proble m Strings 2 x 3.24 x 3.28 x x 3.29 x 3.25 x x x x / / / /3.2

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Proble m Strings PBCC

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Proble m Strings 25 x 36 1/4 x x x x x x x 24

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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

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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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