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Decimal Multiplication & Division Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net

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Book Signing Pamela Weber Harris Heinemann #516

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Math is figure-out- able!

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Counting Additive Multiplicative Proportional Reasoning Algebraic Reasoning

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11 x 12

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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.

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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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Practice with a Game

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Proble m Strings 2 x 274 x 278 x 2710 x 279 x 275 x 27100 x 2799 x 27 324/27 405/27

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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

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3 x 8 6 x 4 8 x 6 4 x 12 16 x 3 25 x 64 2.5 x 3.2 1.8 x 3.5 Proble m Strings

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Proble m Strings

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9 x 10 9 x 4 9 x 14 10 x 11 7 x 11 17 x 11 12 x 16 1.2 x 16 Proble m Strings

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7 x 60 7 x 59 30 x 12 29 x 12 6 x 4 6 x 40 6 x 39 6 x 0.1 6 x 4.1 6 x 3.9 Proble m Strings

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8 x 60 8 x 59 8 x 0.1 8 x 0.2 8 x 6.2 8 x 5.8 48.8 / 8 47.2 / 8 Proble m Strings

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Counting Additive Multiplicative Proportional Reasoning Algebraic Reasoning

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

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The Landscape of Learning

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

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

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