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?