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Developing Multiplicative Thinking- Structuring Number Multiplicatively with Lisa Riggs

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Page 1: with Lisa Riggs Multiplicatively Structuring Number · with Lisa Riggs. Welcome! Your host Lisa Riggs Regional Consultant Kentucky Center for Mathematics lriggs2@murraystate.edu

Developing Multiplicative Thinking-

Structuring Number Multiplicativelywith Lisa Riggs

Page 2: with Lisa Riggs Multiplicatively Structuring Number · with Lisa Riggs. Welcome! Your host Lisa Riggs Regional Consultant Kentucky Center for Mathematics lriggs2@murraystate.edu

Welcome!

Your host

Lisa RiggsRegional Consultant

Kentucky Center for [email protected]

Page 3: with Lisa Riggs Multiplicatively Structuring Number · with Lisa Riggs. Welcome! Your host Lisa Riggs Regional Consultant Kentucky Center for Mathematics lriggs2@murraystate.edu

KCM Websitewww.kentuckymathematics.org

Page 4: with Lisa Riggs Multiplicatively Structuring Number · with Lisa Riggs. Welcome! Your host Lisa Riggs Regional Consultant Kentucky Center for Mathematics lriggs2@murraystate.edu

Today’s Agenda

• Target standards• What is multiplicative thinking?• What is structuring?• Some instructional settings

Page 6: with Lisa Riggs Multiplicatively Structuring Number · with Lisa Riggs. Welcome! Your host Lisa Riggs Regional Consultant Kentucky Center for Mathematics lriggs2@murraystate.edu

Moving toward Fluency with Multiplicative Thinking

As students come to know basic facts in any operation, they progress through three phases (Baroody, 2006):

● Phase 1: Counting● Phase 2: Deriving● Phase 3: Mastery

Page 7: with Lisa Riggs Multiplicatively Structuring Number · with Lisa Riggs. Welcome! Your host Lisa Riggs Regional Consultant Kentucky Center for Mathematics lriggs2@murraystate.edu

Student Mathematical Practice 7Look for and Make Use of Structure

Mathematically proficient students:● see the flexibility of numbers

● understand properties and relationships

● recognize patterns and functionsMany people see math as confusing and they are not always sure how answered are achieved however math is quite predictable. There is structure in math and people who see that structure find that math makes sense.

Page 8: with Lisa Riggs Multiplicatively Structuring Number · with Lisa Riggs. Welcome! Your host Lisa Riggs Regional Consultant Kentucky Center for Mathematics lriggs2@murraystate.edu
Page 9: with Lisa Riggs Multiplicatively Structuring Number · with Lisa Riggs. Welcome! Your host Lisa Riggs Regional Consultant Kentucky Center for Mathematics lriggs2@murraystate.edu
Page 10: with Lisa Riggs Multiplicatively Structuring Number · with Lisa Riggs. Welcome! Your host Lisa Riggs Regional Consultant Kentucky Center for Mathematics lriggs2@murraystate.edu

Things that come ingroups of 2 ...

Page 11: with Lisa Riggs Multiplicatively Structuring Number · with Lisa Riggs. Welcome! Your host Lisa Riggs Regional Consultant Kentucky Center for Mathematics lriggs2@murraystate.edu

Things that come ingroups of 3 ...

Page 12: with Lisa Riggs Multiplicatively Structuring Number · with Lisa Riggs. Welcome! Your host Lisa Riggs Regional Consultant Kentucky Center for Mathematics lriggs2@murraystate.edu

Items at home that can add structure to multiplicative thinking

Page 14: with Lisa Riggs Multiplicatively Structuring Number · with Lisa Riggs. Welcome! Your host Lisa Riggs Regional Consultant Kentucky Center for Mathematics lriggs2@murraystate.edu

Dot cards

Page 15: with Lisa Riggs Multiplicatively Structuring Number · with Lisa Riggs. Welcome! Your host Lisa Riggs Regional Consultant Kentucky Center for Mathematics lriggs2@murraystate.edu

Dot cards

Page 16: with Lisa Riggs Multiplicatively Structuring Number · with Lisa Riggs. Welcome! Your host Lisa Riggs Regional Consultant Kentucky Center for Mathematics lriggs2@murraystate.edu
Page 17: with Lisa Riggs Multiplicatively Structuring Number · with Lisa Riggs. Welcome! Your host Lisa Riggs Regional Consultant Kentucky Center for Mathematics lriggs2@murraystate.edu

What do you notice …what do you wonder ...

Page 18: with Lisa Riggs Multiplicatively Structuring Number · with Lisa Riggs. Welcome! Your host Lisa Riggs Regional Consultant Kentucky Center for Mathematics lriggs2@murraystate.edu

What do you notice …what do you wonder ...

Page 19: with Lisa Riggs Multiplicatively Structuring Number · with Lisa Riggs. Welcome! Your host Lisa Riggs Regional Consultant Kentucky Center for Mathematics lriggs2@murraystate.edu

What do you notice …what do you wonder ...

Page 20: with Lisa Riggs Multiplicatively Structuring Number · with Lisa Riggs. Welcome! Your host Lisa Riggs Regional Consultant Kentucky Center for Mathematics lriggs2@murraystate.edu

Conceptual Multiplication Fact practice

Page 21: with Lisa Riggs Multiplicatively Structuring Number · with Lisa Riggs. Welcome! Your host Lisa Riggs Regional Consultant Kentucky Center for Mathematics lriggs2@murraystate.edu
Page 22: with Lisa Riggs Multiplicatively Structuring Number · with Lisa Riggs. Welcome! Your host Lisa Riggs Regional Consultant Kentucky Center for Mathematics lriggs2@murraystate.edu

Pop Drop Move It 4437.

Page 24: with Lisa Riggs Multiplicatively Structuring Number · with Lisa Riggs. Welcome! Your host Lisa Riggs Regional Consultant Kentucky Center for Mathematics lriggs2@murraystate.edu

Upcoming Sessions

Page 25: with Lisa Riggs Multiplicatively Structuring Number · with Lisa Riggs. Welcome! Your host Lisa Riggs Regional Consultant Kentucky Center for Mathematics lriggs2@murraystate.edu

Follow Us!www.kentuckymathematics.org

@KyMath @KyCenterforMath

Page 26: with Lisa Riggs Multiplicatively Structuring Number · with Lisa Riggs. Welcome! Your host Lisa Riggs Regional Consultant Kentucky Center for Mathematics lriggs2@murraystate.edu

KCM is here to support you!

Your host

Lisa RiggsRegional Consultant

Kentucky Center for [email protected]