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Ongoing   e xperiences   c ould   i nclude   m ini-­‐lessons   a s   n eeded,   g ames   f or   p ractice   a nd  
building   f luency,   ( eg.   F ive   T owers,   T en   F rame   a nd   H undred   C hart   g ames   s uch   a s   r oll   a nd  
fill   t o   a   s pecific   n umber)   a nd   p rovocations.    
 
Some   e xamples   o f   p lace   v alue   p rovocations   i nclude:  
What   c an   y ou   f ind   o ut   a bout   n umbers?   ( provide   a   1 00-­‐chart   a nd  
pebbles)  
Choose   t hree   d igits.   W hat   d ifferent   n umbers   c an   y ou   m ake?  
How   m any   d ifferent   w ays   c an   y ou   d ecompose   _ _______?  
How   a re   n umbers   a re   u sed   i n   t he   w orld   a round   y ou?  
How   c an   y ou   c ompare   a nd   s ort   t hese   n umbers?    
 
 
What   t o   l ook   f or?  
Provide   s tudents   w ith   a   s mall   c ollection   o f   m aterials   t o   c ount.  
Are   s tudents   a ble   t o   f orm   a nd   c ount   g roups   o f   t ens?   A re   s tudents   a ble   t o   i nterpret   a  
set   o f   m aterials   a s   g roups   o f   t en   a nd   e xtras/leftovers?  
Prompt   s tudents   t o   r ecord   p ictorially   a nd   s ymbolically.    
Are   s tudents   a ble   t o   d o   t his   a ccurately?   D o   s tudents   u se   a   f orm   o f   r epresentation   l ike  
a   d ot   o r   t ally   m ark   t o   r epresent   a   c ube?   D o   s tudents   u nderstand   t hat   a   d igit  
represents   a   p lace   v alue?   ( ie.   f or   a   q uantity   o f   5 2,   d o   t hey   r ecord   t he   n umber   5 2   o r  
502   t o   r epresent   5 0   a nd   2 ).    
After   t ime   w orking   w ith   t he   c ounting   a nd   r ecording   w ith   t ens   a nd   o nes,   a sk   s tudents   t o  
describe   t he   c oncept   o f   p lace   v alue.  
Are   s tudents   a ble   t o   d ecompose   a   n umber   i nto   t ens   a nd   o nes?   A re   s tudents   a ble   t o  
generalize   t hat   a   d igit   i n   t he   t ens   p lace   c an   r epresent   a   s et   o f   g roups?   A re   t hey   a ble  
to   g eneralize   t his   t o   l arger   n umbers?   D o   t hey   u nderstand   t he   r ole   o f   z ero   a s   a  
placeholder?   ( ie.   i n   t he   n umber   4 08,   t he   z ero   i ndicates   t here   a re   z ero   t ens)   A re  
students   a ble   t o   t alk   a bout   t he   b ig   i dea   o f   p lace   v alue   w ithin   o ur   n umber   s ystem?  
 
                 
 
 
 

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