# Gaining A Deeper Understanding of Place Value

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Gaining A Deeper Understanding of Place Value. Dianna J. Spence Gregg Velatini North Georgia College & State University. Clarification. The exercises we introduce today are FOR YOU ( not for your students! ) - PowerPoint PPT Presentation

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Gaining A Deeper Understanding of Place ValueDianna J. SpenceGregg VelatiniNorth Georgia College & State University

ClarificationThe exercises we introduce today are FOR YOU(not for your students!)We do not expect (or recommend) that you use these Base 6 activities with your elementary students. You may choose to do similar Base 10 activities with your students.

Why?If not for our students, why do them?To strengthen your ownunderstanding of number systemsawareness of students perspectives & challenges Why not just show us these activities in Base 10?Because you know too much!Helpful (as a teacher) to experience lack of familiarity and limitations similar to those of your studentsLearning a Number SystemSuppose our hands looked like this

Imagine learning to count on your fingers

Finger Counting

ONETWOTHREEFOURFIVESIX1234510TENHelp is on the way!Base Six BlocksunitrodCounting with Blocks1=23451011121314152021Representing 2-Digit NumbersBuild these numbers with your blocks*All numbers below are written in Base 62451403555What comes next?What is the next number after 45?

What is the next number after 55?50100Base Six Blocks Revisitedunitrodflatcube1101001000giant rod10000Representing 3-Digit NumbersBuild these numbers with your blocks*All numbers below are written in Base 6204120134325152Identifying NumbersWrite the number represented in each picture (answers should be in Base 6).Modeling Simple Addition23+1235Modeling Addition with Trades23+1542More Addition with Trades42+34120Practice: Addition32+3321+1530+43102+45214+5410540113151312Modeling Simple Subtraction45-2421Modeling Subtraction with Trades41-2413Practice: Subtraction52-3321-1550-43103-45200-54152314102Modeling Simple Multiplication2412Modeling 2-Digit Multiplication1211132Notice Partial Products:100 (flat)20 (rods at top)10 (rods at right)2 (units)2-Digit Multiplication w/ Trades1421334

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