Developing Multiplicative Thinking- Sequence of Multiples with Dee - - PowerPoint PPT Presentation

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Developing Multiplicative Thinking- Sequence of Multiples with Dee - - PowerPoint PPT Presentation

Developing Multiplicative Thinking- Sequence of Multiples with Dee Crescitelli Welcome! Your host Dee Crescitelli Director Kentucky Center for Mathematics cresciteld1@nku.edu KCM Website www.kentuckymathematics.org Todays Agenda


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Developing Multiplicative Thinking-

Sequence of Multiples with Dee Crescitelli

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Welcome!

Your host

Dee Crescitelli

Director Kentucky Center for Mathematics cresciteld1@nku.edu

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KCM Website

www.kentuckymathematics.org

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Today’s Agenda

  • Research- Progression of Mathematical

Reasoning

  • KY Academic Standards that build the

sequences of multiples

  • Foundation of Number Word Sequences
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Progression of Mathematical Reasoning

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Development of Reasoning

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Standards

KY.2.NBT.2~ Forward/Backward Number Sequences ➔ Count forwards and backwards within 1000; skip-count by 5s, 10s, and 100s. KY.3.OA.9~ Identify Arithmetic Patterns

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Number Word Sequences

Learning number word sequences should continue beyond 1st grade. Students need to learn:

  • NWS of decuples, centuples, and 1000s
  • NWS by 2s, 3s, 4s, etc, which become

central to developing strategies for multiplication and division

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Verbal Aspect is Important

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Just Do It! Don’t Skip Skip-counting!

As students come to know basic facts in any

  • peration, they progress through three

phases (Baroody, 2006):

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

page 4

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Skip-counting as Reasoning

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Skip-counting as Reasoning

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Activities to Build Facility with Sequences of Multiples

  • Count Around
  • Disappearing Sequences
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Disappearing Sequences

Other settings: Loose Cards numeral track

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Activities to Build Facility with Sequences of Multiples

  • Number Ladders

3 6 9 12 15 18 21 24 27

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Activities to Build Facility with Sequences of Multiples

https://mathvisuals.wordpress.com/counting/counting-by-10-5-2-and-25/

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Activities to Build Facility with Sequences of Multiples

CARD GAMES:

  • Junk Multiples
  • Four Kings
  • Quick Draw Multiples
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Junk Multiples

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4 Kings (AKA treasure Hunt)

3 3 3 9 9 27 15 15 27 12 27 12 27

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Quick Draw Multiples

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Upcoming Sessions

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Follow Us!

www.kentuckymathematics.org

@KyMath @KyCenterforMath

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KCM is here to support you!

Your host

Dee Crescitelli

Director Kentucky Center for Mathematics cresciteld1@nku.edu