Module 5:!
Arrow
n otaNon,
a rrow
w ay
§
Chip
m odel
( pictured
r ight)
§
Number
b ond
§
Place
v alue
c harts
a nd
m ats
( pictured
a bove
r ight)
§
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)
§
Tape
d iagram
§
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.
!
!
Module 6:!
Counters
§
Number
p ath
§
Rectangular
a rray
§
Square
N les
§
!
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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!