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Decimal Multiplication & Division Like You’ve Never
SeenPamela Weber Harris
@pwharrispamelawharris.com
Book SigningPamela Weber Harris
Heinemann #516
Math is figure-out-
able!
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.
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
ONE FACTS
ZERO FACTS
DOUBLE
DOUBLE + ONE
DOUBLE, DOUBLE
DOUBLE, DOUBLEDOUBLE
ONE FACTS
ZERO FACTS
DOUBLE
DOUBLE + ONE
DOUBLE, DOUBLE
TENS
DOUBLE, DOUBLEDOUBLE
ONE FACTS
ZERO FACTS
DOUBLE
DOUBLE + ONE
DOUBLE, DOUBLE
TENS
NINES
DOUBLE, DOUBLEDOUBLE
ONE FACTS
ZERO FACTS
DOUBLE
DOUBLE + ONE
DOUBLE, DOUBLE
TENS
NINES
5 IS HALF OF 10
DOUBLE, DOUBLEDOUBLE
ONE FACTS
ZERO FACTS
DOUBLE
DOUBLE + ONE
DOUBLE, DOUBLE
TENS
NINES
5 IS HALF OF 10
5 AND ONE MOREDOUBLE, DOUBLEDOUBLE
Practice with a Game
Problem
Strings
2 x 274 x 278 x 2710 x 279 x 275 x 27100 x 2799 x 27
324/27405/27
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 3.244.8/3.2
323.2/3.2313.6/3.2480/3.2
3 x 86 x 48 x 6
4 x 1216 x 3
25 x 642.5 x 3.21.8 x 3.5
Problem
Strings
Problem
Strings
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9 x 109 x 4
9 x 1410 x 117 x 11
17 x 1112 x 161.2 x 16
Problem
Strings
7 x 607 x 59
30 x 1229 x 12
6 x 46 x 406 x 396 x 0.16 x 4.16 x 3.9Proble
mStrings
8 x 608 x 598 x 0.18 x 0.28 x 6.28 x 5.848.8 / 847.2 / 8
Problem
Strings
Counting
Additive
Multiplicative
Proportional Reasoning
Algebraic Reasoning
Not just about any way to do a problem......
The Landscape of Learning
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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
SeenPamela Weber Harris
facebook.com/numeracy@pwharris
Book signingHeinemann #516
