2nd Grade Math Materials Page 3

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Module 5:!
Arrow   n otaNon,   a rrow   w ay  
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Chip   m odel   ( pictured   r ight)  
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Number   b ond  
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Place   v alue   c harts   a nd   m ats   ( pictured   a bove   r ight)    
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Place   v alue   d isk   s ets   ( 18   o nes,   1 8   t ens,   1 8   h undreds,   1   o ne   t housand   p er   s et)  
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Tape   d iagram  
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Note:     S tudents   w ork   t hrough   a  
progression   o f   m odels   t o  
Chip   m odel
represent   t he   a ddiNon   a nd  
subtracNon   a lgorithm.    
Following   t he   u se   o f   a ctual  
place   v alue   d isks,   s tudents  
learn   t o   d raw   t he   d isks   t o   r epresent   n umbers.     T his   m odel   p rovides   a n   a dded  
level   o f   s upport   i n   t hat   s tudents   w rite   t he   v alue   o n   e ach   d isk   ( see   i mage   b elow  
le_).     B ecause   t he   v alue   i s   o n   t he   d isk,   t here   i s   n o   n eed   t o   l abel   t he   p lace   v alue  
chart.     N ext,   s tudents   l earn   t he   c hip   m odel,   d rawing   d ots   o n   a   l abeled   p lace  
value   c hart   ( see   i mage   b elow   r ight).     W hile   s Nll   p ictorial,   t his   m odel   i s   m ore  
abstract   b ecause   t he   v alue   o f   t he   c hip   d erives   f rom   i ts   p lacement   o n   t he   c hart.      
 
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Module 6:!
Counters    
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Number   p ath  
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Rectangular   a rray  
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Square   N les  
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For descriptions and examples of models, use the link below and
scroll down to pages 28-45.!
How to Implement "A Story of Units" (2.16 MB)
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