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Decimal Multiplication & Division Like You’ve Never Seen. Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net. Book Signing. Pamela Weber Harris Heinemann #516. Math is figure-out-able!. Counting. Additive. Multiplicative. Proportional Reasoning. Algebraic Reasoning.
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Decimal Multiplication & Division Like You’ve Never Seen • Pamela Weber Harris • @pwharris • pamelawharris.com • pharris@byu.net
Book Signing • Pamela Weber Harris • Heinemann #516
Counting Additive Multiplicative Proportional Reasoning Algebraic Reasoning
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.
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!
ONE FACTS ZERO FACTS
ONE FACTS ZERO FACTS DOUBLE
ONE FACTS ZERO FACTS DOUBLE DOUBLE + ONE
ONE FACTS ZERO FACTS DOUBLE DOUBLE + ONE DOUBLE, DOUBLE
DOUBLE, DOUBLE DOUBLE ONE FACTS ZERO FACTS DOUBLE DOUBLE + ONE DOUBLE, DOUBLE
DOUBLE, DOUBLE DOUBLE ONE FACTS ZERO FACTS DOUBLE DOUBLE + ONE DOUBLE, DOUBLE TENS
DOUBLE, DOUBLE DOUBLE ONE FACTS ZERO FACTS DOUBLE DOUBLE + ONE DOUBLE, DOUBLE NINES TENS
DOUBLE, DOUBLE DOUBLE ONE FACTS ZERO FACTS DOUBLE DOUBLE + ONE DOUBLE, DOUBLE NINES 5 IS HALF OF 10 TENS
DOUBLE, DOUBLE DOUBLE ONE FACTS ZERO FACTS DOUBLE DOUBLE + ONE DOUBLE, DOUBLE NINES 5 AND ONE MORE 5 IS HALF OF 10 TENS
2 x 274 x 278 x 2710 x 279 x 275 x 27100 x 2799 x 27 324/27 405/27 Problem 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 Problem Strings
Problem Strings 3 x 86 x 48 x 64 x 1216 x 325 x 642.5 x 3.21.8 x 3.5
Problem Strings
Problem Strings 9 x 109 x 49 x 1410 x 117 x 1117 x 1112 x 161.2 x 16
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
Problem Strings 8 x 608 x 598 x 0.18 x 0.28 x 6.28 x 5.848.8 / 847.2 / 8
Counting Additive Multiplicative Proportional Reasoning Algebraic Reasoning
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
Decimal Multiplication & Division Like You’ve Never Seen • Pamela Weber Harris • facebook.com/numeracy • @pwharris • pamelawharris.com • pharris@byu.net Book signing Heinemann #516