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Decimal Addition & Subtraction Like You’ve Never Seen Pamela Weber Harris @pwharris pamelawharris.com [email protected]

Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com [email protected]

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Page 1: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net

Decimal Addition & Subtraction Like You’ve

Never SeenPamela Weber Harris

@pwharrispamelawharris.com

[email protected]

Page 2: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net

Next Session:Friday 8:00Decimal Multiplication & Division3:00 Percents

Page 3: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net
Page 4: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net

Math is figure-out-

able!

Page 5: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net

Counting

Additive

Multiplicative

Proportional Reasoning

Algebraic Reasoning

Page 6: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net

Problem Strings

Build Strategies while building Place-Value

Page 7: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net

Younger Students

Build Additive Thinking

Page 8: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net

49 + 1049 + 9

49 + 4049 + 393.8 + 1

3.8 + 0.93.8 + 5

3.8 + 4.97.27 + 2

7.27 + 1.996.6 + 2.96

Problem

Strings

Page 9: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net

49 + 1049 + 9

49 + 4049 + 393.8 + 1

3.8 + 0.93.8 + 5

3.8 + 4.97.27 + 2

7.27 + 1.996.6 + 2.96

Problem

Strings

OverStrateg

y

Page 10: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net

Counting

Additive

Multiplicative

Proportional Reasoning

Algebraic Reasoning

Page 11: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net

99 + 199 + 2799 + 689.9 + 0.19.9 + 3.7

4.98 + 0.024.98 + 2.636.74 + 1.25

56.97 + 38.98

Problem

Strings

Page 12: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net

99 + 199 + 2799 + 689.9 + 0.19.9 + 3.7

4.98 + 0.024.98 + 2.636.74 + 1.25

56.97 + 38.98

Problem

Strings

Give &Take

Page 13: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net

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

Page 14: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net

The Landscape of Learning

Page 15: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net

53 - 4831 - 4

7.2 - 6.95.3 - 0.5

56.11 - 0.2248.03 - 47.99

Problem

Strings

Page 16: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net

ProblemStrings

Difference

versusRemova

l

53 - 4831 - 47.2 - 6.95.3 - 0.556.11 - 0.2248.03 -

47.99

Page 17: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net

6.5 - 2.96.2 - 2.67.1 - 3.56.3 - 2.76.6 - 3.07.6 - 4.0

13.2 - 9.6

Problem

Strings

Page 18: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net

6.5 - 2.96.2 - 2.67.1 - 3.56.3 - 2.76.6 - 3.07.6 - 4.0

13.2 - 9.6

ProblemStrings

Constant

Difference

Page 19: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net

Connections to Higher Math

Page 20: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net
Page 21: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net
Page 22: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net
Page 23: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net
Page 24: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net
Page 25: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net
Page 26: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net
Page 27: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net
Page 28: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net

Counting

Additive

Multiplicative

Proportional Reasoning

Algebraic Reasoning

Page 29: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net

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

Page 30: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net

Next Session:Friday 8:00Decimal Multiplication & Division3:00 Percents

Page 31: Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net

Decimal Addition & Subtraction Like You’ve

Never SeenPamela Weber Harris

@pwharrispamelawharris.com

[email protected]