scott county 7 math curriculum - scott.k12.ky.us county7math .pdf · scott county pacing guide ......
TRANSCRIPT
Scott%County%Public%Schools%!!
!
Seventh'Grade'Mathem
atics'Revised'2013'
''''
Pacing'Guide'and'Curriculum'M
ap'
Scott County Pacing Guide 7th Grade Math
Unit 0 – Review of Prior Content Skills- 4 Weeks Rounding Place Value GCF LCM 2-6 Mixed #’s to Improper Fractions to Decimals 1-1 Order of Operations Unit 1 – Number Systems A (Integers) -3 Weeks 2-1 Integers 2-2 Adding Integers EXT Additive Inverses and Absolute Value 2-3 Subtracting Integers 2-4 Multiplying and Dividing Integers Unit 2 – Number Systems B (Decimals/Fractions) – 4 Weeks 3-1 Adding and Subtracting Decimals 3-2 Multiplying Decimals 3-3 Dividing Decimals 3-5 Adding and Subtracting Fractions 3-6 Multiplying Fractions and Mixed Numbers 3-7 Dividing Fractions and Mixed Numbers Unit 3 – Expressions and Equations – 6 Weeks 1-2 Properties of Numbers 1-5 Simplifying Algebraic Expressions 1-3 Variables and Algebraic Expressions 2-5 Solving Equations Containing Integers 3-4 Solving Equations Containing Decimals 3-8 Solving Equations Containing Fractions 11-1 Solving Two-Step Equations 11-2 Solving Multi-Step Equations 11-3 Solving Equations with Variables on Both Sides 11-4 Inequalities 11-5 Solving Inequalities by Adding or Subtracting 11-6 Solving Inequalities by Multiplying or Dividing
11-7 Solving Multi-Step Inequalities Unit 4 – Ratio & Proportional Relationships – 4 Weeks 4-1 Rates 4-2 Identifying and Writing Proportions 4-3 Solving Proportions 4-4 Similar Figures and Proportions 4-5 Using Similar Figures 6-4 Percent of Change 6-5 Applications of Percents 6-6 Simple Interest Unit 5 – Geometry – 4 Weeks 4-6 Scale Drawings and Scale Models 8-1 Lab Find Missing Angles 8-5 Lab Draw Geometric Figures (Constructing Triangles) 9-1, 9-2 Area and Circumference of a Circle 9-4, 9-5, 9-6, Real-World using Area, Volume, and Surface Area 9 Ext. Slicing Three-Dimensional Figures (Cross Sections) Unit 6 – Probability -3 Weeks 10-1, 10-5 Chance 10-2, 10-4 Estimation/Prediction, Probability Models 10-3, 10-9 Probability of Compound Events Unit 7- Statistics – 3 Weeks 7-1 Measures of Central Tendency 7-2 Box and Whisker Plots 7-3, pg. 274B Random Sampling 6th Grade Book 6-5 Dot Plots 6th Grade Book 6-3 Mean Deviation End of Year 5-2 Interpreting Graphs 5-3 Slope and Rates of Change 5-4 Direct Variations !
Mini – lessons 1-4 Translating Words into Math 2-7 Comparing and Ordering Rational Numbers 5-1 The Coordinate Plane 6-1 Fractions, Decimals and Percents 6-2 Estimating with Percents 6-3 Using Properties with Rational Numbers
9
Wee
ks
G
rade
.Con
tent
.Sta
ndar
d
Ove
rall
Stan
dard
Typ
e 1st
2nd
3rd
4th
7.
EE.1
K
R
S
P
Dom
ain
Stan
dard
Ex
pres
sion
s an
d Eq
uatio
ns
A
pply
pro
perti
es o
f ope
ratio
ns a
s st
rate
gies
to a
dd, s
ubtra
ct, f
acto
r, an
d ex
pand
lin
ear e
xpre
ssio
ns w
ith ra
tiona
l coe
ffic
ient
s.
Clu
ster
U
se p
rope
rties
of o
pera
tions
to g
ener
ate
equi
vale
nt e
xpre
ssio
ns.
Tar
get
# T
arge
t T
ype
Stat
e T
arge
t St
uden
t Fri
endl
y T
arge
t Su
cces
s C
rite
ria
(If A
ppro
pria
te)
Res
ourc
es
1 K
C
ombi
ne li
ke te
rms
with
ra
tiona
l coe
ffic
ient
s.
I can
iden
tify
like
term
s.
I can
iden
tify
coef
ficie
nts.
I c
an c
ombi
ne li
ke te
rms
with
ratio
nal c
oeff
icie
nts.
2 K
Fa
ctor
and
exp
and
linea
r ex
pres
sion
s w
ith ra
tiona
l co
effic
ient
s us
ing
the
dist
ribut
ive
prop
erty
.
I can
app
ly th
e di
strib
utiv
e pr
oper
ty.
3 R
A
pply
pro
perti
es o
f op
erat
ions
as
stra
tegi
es to
ad
d, s
ubtra
ct, f
acto
r, an
d ex
pand
line
ar e
xpre
ssio
ns
with
ratio
nal c
oeff
icie
nts.
I can
add
, sub
tract
, fac
tor,
and
expa
nd e
xpre
ssio
ns u
sing
th
e pr
oper
ties.
Th
is m
eans
that
I am
abl
e to
app
ly th
e pr
oper
ties
lear
ned
to g
iven
exp
ress
ions
.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics%
9 W
eeks
Gra
de.C
onte
nt.S
tand
ard
O
vera
ll St
anda
rd T
ype
1st
2
nd
3
rd
4
th
7.EE
.2
K
R
S
P
D
omai
n St
anda
rd
Expr
essi
ons
and
Equa
tions
Und
erst
and
that
rew
ritin
g an
exp
ress
ion
in d
iffer
ent f
orm
s in
a p
robl
em c
onte
xt
can
shed
ligh
t on
the
prob
lem
and
how
the
quan
titie
s in
it a
re re
late
d. F
or
exam
ple,
a +
0.0
5a =
1.0
5a m
eans
that
“in
crea
se b
y 5%
” is
the
sam
e as
“m
ultip
ly b
y 1.
05.”
C
lust
er
Use
pro
perti
es o
f ope
ratio
ns to
gen
erat
e eq
uiva
lent
exp
ress
ions
. T
arge
t #
Tar
get
Typ
e St
ate
Tar
get
Stud
ent F
rien
dly
Tar
get
Succ
ess
Cri
teri
a (I
f App
ropr
iate
) R
esou
rces
1 K
W
rite
equi
vale
nt e
xpre
ssio
ns
with
frac
tions
, dec
imal
s,
perc
ents
, and
inte
gers
.
I can
rew
rite
prob
lem
s w
ith fr
actio
ns, d
ecim
als,
per
cent
s an
d in
tege
rs to
mak
e eq
uiva
lent
exp
ress
ions
.
This
mea
ns I
unde
rsta
nd a
n ex
pres
sion
s/eq
uatio
n ca
n be
w
ritte
n in
diff
eren
t for
ms.
2 R
R
ewrit
e an
exp
ress
ion
in a
n eq
uiva
lent
form
in o
rder
to
prov
ide
insi
ght a
bout
how
qu
antit
ies
are
rela
ted
in a
pr
oble
m c
onte
xt.
I can
rew
rite
prob
lem
s w
ith fr
actio
ns, d
ecim
als,
per
cent
s an
d in
tege
rs to
mak
e eq
uiva
lent
exp
ress
ions
/equ
atio
ns
in o
rder
to s
olve
pro
blem
s. T
his
mea
ns I
unde
rsta
nd a
n ex
pres
sion
s/eq
uatio
n ca
n be
writ
ten
in d
iffer
ent f
orm
s to
m
ake
it ea
sier
to s
olve
the
prob
lem
.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics%
%
9 W
eeks
Gra
de.C
onte
nt.S
tand
ard
O
vera
ll St
anda
rd T
ype
1st
2
nd
3
rd
4
th
7.EE
.3
K
R
S
P
D
omai
n St
anda
rd
Expr
essi
ons
and
Equa
tions
Solv
e m
ulti-
step
real
-life
and
mat
hem
atic
al p
robl
ems
pose
d w
ith p
ositi
ve a
nd n
egat
ive
ratio
nal n
umbe
rs
in a
ny fo
rm (w
hole
num
bers
, fra
ctio
ns, a
nd d
ecim
als)
, usi
ng to
ols
stra
tegi
cally
. App
ly p
rope
rties
of
oper
atio
ns to
cal
cula
te w
ith n
umbe
rs in
any
form
; con
vert
betw
een
form
s as
app
ropr
iate
; and
ass
ess
the
reas
onab
lene
ss o
f ans
wer
s us
ing
men
tal c
ompu
tatio
n an
d es
timat
ion
stra
tegi
es. F
or e
xam
ple:
If a
w
oman
mak
ing
$25
an h
our
gets
a 1
0% r
aise
, she
will
mak
e an
add
ition
al 1
/10
of h
er s
alar
y an
hou
r,
or $
2.50
, for
a n
ew s
alar
y of
$27
.50.
If y
ou w
ant t
o pl
ace
a to
wel
bar
9 3
/4 in
ches
long
in th
e ce
nter
of
a do
or th
at is
27
1/2
inch
es w
ide,
you
will
nee
d to
pla
ce th
e ba
r ab
out 9
inch
es fr
om e
ach
edge
; thi
s es
timat
e ca
n be
use
d as
a c
heck
on
the
exac
t com
puta
tion.
Clu
ster
So
lve
real
-life
and
mat
hem
atic
al p
robl
ems
usin
g nu
mer
ical
and
alg
ebra
ic e
xpre
ssio
ns a
nd
equa
tions
.
Tar
get
# T
arge
t T
ype
Stat
e T
arge
t St
uden
t Fri
endl
y T
arge
t Su
cces
s C
rite
ria
(If A
ppro
pria
te)
Res
ourc
es
1 K
C
onve
rt be
twee
n nu
mer
ical
fo
rms
as a
ppro
pria
te.
I can
con
vert
frac
tions
, dec
imal
s an
d pe
rcen
ts. T
his
mea
ns I
unde
rsta
nd th
e re
latio
nshi
p be
twee
n fr
actio
ns, d
ecim
als,
&
perc
ents
.
2 R
So
lve
mul
ti-st
ep re
al-li
fe a
nd
mat
hem
atic
al p
robl
ems
pose
d w
ith p
ositi
ve a
nd n
egat
ive
ratio
nal n
umbe
rs in
any
form
(w
hole
num
bers
, fra
ctio
ns, a
nd
deci
mal
s), u
sing
tool
s st
rate
gica
lly.
I can
use
a c
alcu
lato
r to
chec
k th
e so
lutio
n of
mul
ti-st
ep re
al-
life
and
mat
hem
atic
al p
robl
ems.
3 R
A
pply
pro
perti
es o
f ope
ratio
ns
to c
alcu
late
with
num
bers
in
any
form
.
I can
app
ly p
rope
rties
of o
pera
tions
to s
olve
mat
hem
atic
al
prob
lem
s w
ith n
umbe
rs in
any
form
. Fo
r exa
mpl
e: I
know
that
10%
is 1
/10
and
.1 a
nd I
can
use
that
kno
wle
dge
to s
olve
real
-life
pro
blem
s.
4 R
A
sses
s th
e re
ason
able
ness
of
answ
ers
usin
g m
enta
l co
mpu
tatio
n an
d es
timat
ion
stra
tegi
es.
I can
est
imat
e us
ing
men
tal m
ath.
I c
an d
eter
min
e th
e re
ason
able
ness
of a
nsw
ers
usin
g m
y es
timat
e.
Mak
e se
nse
of
prob
lem
s an
d pe
rsev
ere
in s
olvi
ng
them
.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics!
9 W
eeks
Gra
de.C
onte
nt.S
tand
ard
O
vera
ll St
anda
rd T
ype
1st
2
nd
3
rd
4
th
7.EE
.4ab
K
R
S
P
Dom
ain
Stan
dard
Ex
pres
sion
s an
d Eq
uatio
ns
U
se v
aria
bles
to re
pres
ent q
uant
ities
in a
real
-wor
ld o
r mat
hem
atic
al p
robl
em, a
nd c
onst
ruct
si
mpl
e eq
uatio
ns a
nd in
equa
litie
s to
sol
ve p
robl
ems
by re
ason
ing
abou
t the
qua
ntiti
es:
a.)
Sol
ve w
ord
prob
lem
s le
adin
g to
equ
atio
ns o
f the
form
px
+ q
= r
and
p(x
+ q)
= r
, whe
re p
, q,
and
r a
re s
peci
fic ra
tiona
l num
bers
. So
lve
equa
tions
of t
hese
form
s flu
ently
. Com
pare
an
alge
brai
c so
lutio
n to
an
arith
met
ic s
olut
ion,
iden
tifyi
ng th
e se
quen
ce o
f the
ope
ratio
ns u
sed
in
each
app
roac
h. F
or e
xam
ple,
the
peri
met
er o
f a r
ecta
ngle
is 5
4 cm
. Its
leng
th is
6 c
m. W
hat i
s its
wid
th?
b.) S
olve
wor
d pr
oble
ms
lead
ing
to in
equa
litie
s of
the
form
px
+ q
> r
or
px +
q <
r, w
here
p,
q, a
nd r
are
spe
cific
rat
iona
l num
bers
. Gra
ph th
e so
lutio
n se
t of t
he in
equa
lity
and
inte
rpre
t it
in th
e co
ntex
t of t
he p
robl
em. F
or e
xam
ple:
As
a sa
lesp
erso
n, y
ou a
re p
aid
$50
per
wee
k pl
us
$3 p
er s
ale.
Thi
s w
eek
you
wan
t you
r pa
y to
be
at le
ast
$100
. Wri
te a
n in
equa
lity
for
the
num
ber
of s
ales
you
nee
d to
mak
e, a
nd d
escr
ibe
the
solu
tions
.
Clu
ster
So
lve
real
-life
and
mat
hem
atic
al p
robl
ems
usin
g nu
mer
ical
and
alg
ebra
ic e
xpre
ssio
ns a
nd
equa
tions
.
Tar
get
# T
arge
t T
ype
Stat
e T
arge
t St
uden
t Fri
endl
y T
arge
t Su
cces
s C
rite
ria
(If A
ppro
pria
te)
Res
ourc
es
1 K
Fl
uent
ly s
olve
equ
atio
ns o
f th
e fo
rm
px +
q =
r a
nd p
(x +
q) =
r
with
spe
ed a
nd a
ccur
acy.
I can
sol
ve tw
o-st
ep e
quat
ions
.
2 K
Id
entif
y th
e se
quen
ce o
f op
erat
ions
use
d to
sol
ve a
n al
gebr
aic
equa
tion
of th
e fo
rm p
x +
q =
r an
d
p(x
+ q)
= r
.
I can
iden
tify
the
sequ
ence
of o
pera
tions
use
d to
sol
ve 2
st
ep e
quat
ions
.
3 K
G
raph
the
solu
tion
set o
f the
in
equa
lity
of th
e fo
rm p
x +
q >
r or
px
+ q
< r,
whe
re p
, q,
and
r a
re s
peci
fic ra
tiona
l nu
mbe
rs.
I can
gra
ph th
e so
lutio
n se
t of t
he in
equa
lity
on a
nu
mbe
r lin
e.
4 R
U
se v
aria
bles
and
con
stru
ct
equa
tions
to re
pres
ent
quan
titie
s of
the
form
px
+ q
= r a
nd p
(x +
q) =
r fr
om
real
-wor
ld a
nd m
athe
mat
ical
pr
oble
ms.
I can
writ
e eq
uatio
ns fr
om re
al w
orld
mat
hem
atic
al
prob
lem
s.
Exa
mpl
e pr
oble
ms.
ht
tp://
qta.
quan
tiles
.com
/m/re
sour
ces/
doun
load
s/Q
uant
ileR
esou
rce4
2022
.
5 R
So
lve
wor
d pr
oble
ms
lead
ing
to e
quat
ions
of t
he fo
rm p
x +
q =
r an
d p(
x +
q) =
r.
I can
writ
e an
d so
lve
2 st
ep e
quat
ions
from
real
wor
ld
prob
lem
s.
6 R
C
ompa
re a
n al
gebr
aic
solu
tion
to a
n ar
ithm
etic
so
lutio
n by
iden
tifyi
ng th
e se
quen
ce o
f the
ope
ratio
ns
used
in e
ach
appr
oach
. (E
x:
you
know
the
area
of a
re
ctan
gle
and
the
wid
th, w
hat
is th
e le
ngth
).
I can
che
ck m
y so
lutio
n to
an
alge
brai
c eq
uatio
n.
7 R
So
lve
wor
d pr
oble
ms
lead
ing
to in
equa
litie
s of
the
form
px
+ q
> r
or p
x +
q <
r, w
here
p,
q, a
nd r
are
spe
cific
ra
tiona
l num
bers
.
I can
sol
ve tw
o-st
ep in
equa
litie
s.
8 R
In
terp
ret t
he s
olut
ion
set o
f an
ineq
ualit
y in
the
cont
ext
of th
e pr
oble
m.
I can
exp
lain
the
mea
ning
of t
he s
olut
ion
of a
n in
equa
lity.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics
9
Wee
ks
G
rade
.Con
tent
.Sta
ndar
d
Ove
rall
Stan
dard
Typ
e 1st
2nd
3rd
4th
7.
G.1
K
R
S
P
Dom
ain
Stan
dard
G
eom
etry
Solv
e pr
oble
ms
invo
lvin
g sc
ale
draw
ings
of g
eom
etric
figu
res,
incl
udin
g co
mpu
ting
actu
al le
ngth
s an
d ar
eas
from
sca
le d
raw
ing
and
repr
oduc
ing
a sc
ale
draw
ing
at a
diff
eren
t sca
le.
C
lust
er
Dra
w, c
onst
ruct
, and
des
crib
e ge
omet
rical
figu
res
and
desc
ribe
the
rela
tions
hips
bet
wee
n th
em.
Tar
get
# T
arge
t T
ype
Stat
e T
arge
t St
uden
t Fri
endl
y T
arge
t Su
cces
s C
rite
ria
(If A
ppro
pria
te)
Res
ourc
es
1 K
U
se ra
tios
and
prop
ortio
ns to
cr
eate
sca
le d
raw
ing.
I c
an s
et u
p an
d so
lve
ratio
s an
d pr
opor
tions
to m
ake
scal
e dr
awin
gs.
2 K
Id
entif
y co
rres
pond
ing
side
s of
sca
led
geom
etric
figu
res.
I c
an id
entif
y si
des
on tw
o si
mila
r fig
ures
that
co
rres
pond
.
3 K
C
ompu
te le
ngth
s an
d ar
eas
from
sca
le d
raw
ings
usi
ng
stra
tegi
es s
uch
as
prop
ortio
ns.
I can
set
up
and
solv
e pr
opor
tions
to fi
nd th
e ac
tual
le
ngth
and
are
a of
figu
res
usin
g sc
ale
mod
els.
4 R
So
lve
prob
lem
s in
volv
ing
scal
e dr
awin
gs o
f geo
met
ric
figur
es u
sing
sca
le fa
ctor
s.
I can
find
the
scal
e fa
ctor
of s
cale
dra
win
gs a
nd u
se it
to
solv
e re
al w
orld
pro
blem
s.
5 P
Rep
rodu
ce a
sca
le d
raw
ing
that
is p
ropo
rtion
al to
a g
iven
ge
omet
ric fi
gure
usi
ng a
di
ffer
ent s
cale
.
I can
dra
w a
sca
le d
raw
ing
of a
giv
en fi
gure
.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics%
9
Wee
ks
G
rade
.Con
tent
.Sta
ndar
d
Ove
rall
Stan
dard
Typ
e 1st
2nd
3rd
4th
7.
G.2
K
R
S
P
Dom
ain
Stan
dard
G
eom
etry
Dra
w (f
reeh
and,
with
rule
r and
pro
tract
or, a
nd w
ith te
chno
logy
) geo
met
ric
shap
es w
ith g
iven
con
ditio
ns. F
ocus
on
cons
truct
ing
trian
gles
from
thre
e m
easu
res
of a
ngle
s or
sid
es, n
otic
ing
whe
n th
e co
nditi
ons
dete
rmin
e a
uniq
ue
trian
gle,
mor
e th
an o
ne tr
iang
le, o
r no
trian
gle.
C
lust
er
Dra
w, c
onst
ruct
, and
des
crib
e ge
omet
rical
figu
res
and
desc
ribe
the
rela
tions
hips
bet
wee
n th
em.
Tar
get
# T
arge
t T
ype
Stat
e T
arge
t St
uden
t Fri
endl
y T
arge
t Su
cces
s C
rite
ria
(If A
ppro
pria
te)
Res
ourc
es
1 K
K
now
whi
ch c
ondi
tions
cre
ate
uniq
ue tr
iang
les,
mor
e th
an o
ne
trian
gle,
or n
o tri
angl
e.
I can
det
erm
ine
whi
ch c
ondi
tions
cre
ate
uniq
ue
trian
gles
, mor
e th
an o
ne tr
iang
les,
or n
o tri
angl
e.
2 R
A
naly
ze g
iven
con
ditio
ns b
ased
on
the
thre
e m
easu
res
of a
ngle
s or
sid
es o
f a tr
iang
le to
de
term
ine
whe
n th
ere
is a
un
ique
tria
ngle
, mor
e th
an o
ne
trian
gle,
or n
o tri
angl
e.
I can
ana
lyze
the
cond
ition
s gi
ven
to d
eter
min
e w
heth
er
ther
e is
a u
niqu
e tri
angl
e, m
ore
than
one
tria
ngle
, or n
o tri
angl
e.
3 S
Con
stru
ct tr
iang
les
from
thre
e gi
ven
angl
e m
easu
res
to
dete
rmin
e w
hen
ther
e is
a
uniq
ue tr
iang
le, m
ore
than
one
tri
angl
e or
no
trian
gle
usin
g ap
prop
riate
tool
s su
ch a
s ru
lers
, pr
otra
ctor
s, te
chno
logy
or
othe
rs.
I can
dra
w d
iffer
ent t
ypes
of t
riang
les
usin
g a
rule
r, pr
otra
ctor
, tec
hnol
ogy,
or o
ther
tool
s.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics%
9 W
eeks
Gra
de.C
onte
nt.S
tand
ard
O
vera
ll St
anda
rd T
ype
1st
2
nd
3
rd
4
th
7.G
.3
K
R
S
P
D
omai
n St
anda
rd
Geo
met
ry
D
escr
ibe
the
two-
dim
ensi
onal
figu
res
that
resu
lt fr
om s
licin
g th
ree-
dim
ensi
onal
fig
ures
, as
in p
lane
sec
tions
of r
ight
rect
angu
lar p
rism
s an
d rig
ht re
ctan
gula
r py
ram
ids.
C
lust
er
Dra
w, c
onst
ruct
, and
des
crib
e ge
omet
rical
figu
res
and
desc
ribe
the
rela
tions
hips
bet
wee
n th
em.
Tar
get
# T
arge
t T
ype
Stat
e T
arge
t St
uden
t Fri
endl
y T
arge
t Su
cces
s C
rite
ria
(If A
ppro
pria
te)
Res
ourc
es
1 K
D
efin
e cr
oss-
sect
ion
of a
3D
fig
ure
as s
licin
g 3D
figu
re.
I can
def
ine
a cr
oss-
sect
ion
as a
pla
ne th
at d
ivid
es a
3D
fig
ure.
2 K
D
escr
ibe
the
two-
dim
ensi
onal
figu
res
that
re
sult
from
slic
ing
a th
ree-
dim
ensi
onal
figu
re s
uch
as a
rig
ht re
ctan
gula
r pris
m o
r py
ram
id.
I can
det
erm
ine
diff
eren
t 2D
figu
res
that
resu
lt fr
om
slic
ing
3D fi
gure
s at
diff
eren
t ang
les.
Fo
r exa
mpl
e, y
ou c
an s
lice
a rig
ht re
ctan
gula
r pris
m
with
a p
lane
par
alle
l to
one
of th
e fa
ces
mak
ing
the
sam
e fig
ures
as
the
face
to w
hich
it is
par
alle
l. A
dditi
onal
ly, i
f you
slic
e it
an a
n an
gle
that
is n
ot
para
llel t
o on
e of
the
face
s, y
ou w
ill g
et a
diff
eren
t 2D
fig
ure
(like
a p
aral
lelo
gram
or a
tria
ngle
)
3 R
A
naly
ze th
ree-
dim
ensi
onal
sh
apes
by
exam
inin
g tw
o di
men
sion
al c
ross
-sec
tions
.
I can
ana
lyze
thre
e-di
men
sion
al s
hape
s by
exa
min
ing
two-
dim
ensi
onal
cro
ss-s
ectio
ns.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
7th%Grade%
Mathem
atics%
9 W
eeks
Gra
de.C
onte
nt.S
tand
ard
O
vera
ll St
anda
rd T
ype
1st
2
nd
3
rd
4
th
7.G
.4
K
R
S
P
D
omai
n St
anda
rd
Geo
met
ry
K
now
the
form
ulas
for t
he a
rea
and
circ
umfe
renc
e of
a c
ircle
and
use
them
to
solv
e pr
oble
ms;
giv
e an
info
rmal
der
ivat
ion
of th
e re
latio
nshi
p be
twee
n ci
rcum
fere
nce
and
area
of a
circ
le.
Clu
ster
So
lve
real
-life
and
mat
hem
atic
al p
robl
ems
invo
lvin
g an
gle
mea
sure
, are
a, s
urfa
ce a
rea,
and
vol
ume.
T
arge
t #
Tar
get
Typ
e St
ate
Tar
get
Stud
ent F
rien
dly
Tar
get
Succ
ess
Cri
teri
a (I
f App
ropr
iate
) R
esou
rces
1 K
Know
the p
arts o
f a c
ircle
inclu
din
g r
adiu
s,
dia
meter,
area,
cir
cum
ference,
center,
and c
hord.
I can identif
y a
nd d
efi
ne t
he p
arts o
f a c
ircle
(radiu
s,
dia
meter,
area,
cir
cum
ference,
center,
chord,
the irratio
nal num
ber).
2 K
Id
entif
y P
i.
I can identif
y P
i.
3 K
Know
form
ula
s f
or a
rea
and c
ircum
ference o
f a
cir
cle
.
I can identif
y t
he f
orm
ula
s f
or a
rea a
nd
cir
cum
ference o
f a c
ircle
.
C=d;
C=2
r; A
=r2
4 K
G
iven t
he a
rea o
f a c
ircle
,
find its c
ircum
ference.
I can f
ind t
he a
rea o
f a c
ircle
if
giv
en t
he
cir
cum
ference.
5 R
Justif
y t
hat P
i can b
e
deriv
ed f
rom
the
cir
cum
ference a
nd
dia
meter o
f a c
ircle
.
I can j
ustif
y t
hat p
i can b
e d
eriv
ed f
rom
the
cir
cum
ference a
nd d
iam
eter.
6 R
Apply
cir
cum
ference o
r
area f
orm
ula
s in o
rder t
o
solv
e m
athem
atic
al and
real-
world
proble
ms.
I can u
se t
he f
orm
ula
s f
or a
rea a
nd c
ircum
ference
of
a c
ircle
in o
rder t
o solv
e m
ath a
nd r
eal-
world
proble
ms.
7 R
Justif
y t
he f
orm
ula
s f
or
area a
nd c
ircum
ference
of
a c
ircle
and h
ow
they
rela
te t
o π
.
I can j
ustif
y t
he a
rea a
nd c
ircum
ference f
orm
ula
s
and h
ow
they r
ela
te t
o p
i.
8 R
In
form
ally d
eriv
e t
he
rela
tio
nship
betw
een
cir
cum
ference a
nd a
rea
of
a c
ircle
.
I can info
rm
ally d
eriv
e t
he r
ela
tio
nship
betw
een
cir
cum
ference a
nd a
rea.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics%
9 W
eeks
Gra
de.C
onte
nt.S
tand
ard
O
vera
ll St
anda
rd T
ype
1st
2
nd
3
rd
4
th
7.G
.5
K
R
S
P
D
omai
n St
anda
rd
Geo
met
ry
U
se fa
cts
abou
t sup
plem
enta
ry, c
ompl
emen
tary
, ver
tical
, adj
acen
t ang
les
in a
m
ulti-
step
pro
blem
to w
rite
and
solv
e si
mpl
e eq
uatio
ns fo
r an
unkn
own
angl
e in
a fi
gure
. C
lust
er
Solv
e re
al-li
fe a
nd m
athe
mat
ical
pro
blem
s in
volv
ing
angl
e m
easu
re, a
rea,
sur
face
are
a, a
nd v
olum
e.
Tar
get
# T
arge
t T
ype
Stat
e T
arge
t St
uden
t Fri
endl
y T
arge
t Su
cces
s C
rite
ria
(If A
ppro
pria
te)
Res
ourc
es
1 K
Id
entif
y an
d re
cogn
ize
angl
es: S
uppl
emen
tary
, C
ompl
emen
tary
, Ver
tical
, an
d A
djac
ent.
I can
def
ine
and
iden
tify
angl
es (s
uppl
emen
tary
, co
mpl
emen
tary
, ver
tical
, and
adj
acen
t)
2 K
D
eter
min
e co
mpl
emen
ts a
nd
supp
lem
ents
of a
giv
en
angl
e.
I can
det
erm
ine
an a
ngle
that
will
be
com
plem
enta
ry o
r su
pple
men
tary
to a
ny g
iven
ang
le.
3 R
D
eter
min
e un
know
n an
gle
mea
sure
s by
writ
ing
and
solv
ing
alge
brai
c eq
uatio
ns
base
d on
rela
tions
hips
be
twee
n an
gles
and
in
ters
ectin
g lin
es.
I can
writ
e al
gebr
aic
equa
tions
bas
ed o
n an
gle
rela
tions
hips
. I c
an w
rite
alge
brai
c eq
uatio
ns b
ased
on
inte
rsec
ting
lines
. I c
an s
olve
alg
ebra
ic e
quat
ions
invo
lvin
g an
gle
mea
sure
men
ts.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics%
9
Wee
ks
G
rade
.Con
tent
.Sta
ndar
d
Ove
rall
Stan
dard
Typ
e 1st
2nd
3rd
4th
7.
G.6
K
R
S
P
Dom
ain
Stan
dard
G
eom
etry
Solv
e re
al-w
orld
and
mat
hem
atic
al p
robl
ems
invo
lvin
g ar
ea, v
olum
e, a
nd
surf
ace
area
of t
wo-
and
thre
e-di
men
sion
al o
bjec
ts c
ompo
sed
of tr
iang
les,
qu
adril
ater
als,
pol
ygon
s, c
ubes
, and
righ
t pris
ms.
C
lust
er
Solv
e re
al-li
fe a
nd m
athe
mat
ical
pro
blem
s in
volv
ing
angl
e m
easu
re, a
rea,
sur
face
are
a, a
nd v
olum
e.
Tar
get
# T
arge
t T
ype
Stat
e T
arge
t St
uden
t Fri
endl
y T
arge
t Su
cces
s C
rite
ria
(If A
ppro
pria
te)
Res
ourc
es
1 K
K
now
the
form
ulas
for a
rea
and
volu
me
and
the
proc
edur
e fo
r fin
ding
sur
face
are
a an
d w
hen
to u
se th
em in
real
-wor
ld a
nd
mat
h pr
oble
ms
for t
wo-
and
th
ree-
dim
ensi
onal
obj
ects
co
mpo
sed
of tr
iang
les,
qu
adril
ater
als,
pol
ygon
s, c
ubes
, an
d rig
ht p
rism
s.
I can
mem
oriz
e a
rea,
vol
ume
and
surf
ace
area
form
ulas
for
diff
eren
t fig
ures
. I c
an re
cogn
ize
whe
n to
use
form
ulas
to s
olve
mat
h an
d re
al-
wor
ld p
robl
ems
invo
lvin
g ar
ea, v
olum
e, a
nd s
urfa
ce a
rea.
V
=Bh
for a
ll rig
ht p
rism
s
A =
bh
for a
ll pa
ralle
logr
ams
A - ½
bh
for a
ll tri
angl
es
LSA
= P
base
h; L
ater
al S
urfa
ce a
rea
TSA
= L
SA +
2B
2 R
So
lve
real
-wor
ld a
nd m
ath
prob
lem
s in
volv
ing
area
, su
rfac
e ar
ea a
nd v
olum
e of
tw
o- a
nd th
ree-
dim
ensi
onal
ob
ject
s co
mpo
sed
of tr
iang
les,
qu
adril
ater
als,
pol
ygon
s, c
ubes
, an
d rig
ht p
rism
s.
I can
app
ly fo
rmul
as fo
r are
a, v
olum
e, a
nd s
urfa
ce a
rea
to
solv
e m
athe
mat
ical
and
real
-wor
ld p
robl
ems.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics%
9
Wee
ks
G
rade
.Con
tent
.Sta
ndar
d
Ove
rall
Stan
dard
Typ
e 1st
2nd
3rd
4th
7.
NS.
1a
K
R
S
P
D
omai
n St
anda
rd
The
Num
ber S
yste
m
App
ly a
nd e
xten
d pr
evio
us u
nder
stan
ding
s of
add
ition
and
sub
tract
ion
to a
dd
and
subt
ract
ratio
nal n
umbe
rs; r
epre
sent
add
ition
and
sub
tract
ion
on a
ho
rizon
tal o
r ver
tical
num
ber l
ine
diag
ram
. a.
D
escr
ibe
situ
atio
ns in
whi
ch o
ppos
ite q
uant
ities
com
bine
to m
ake
0.
For
exam
ple,
a h
ydro
gen
atom
has
a 0
cha
rge
beca
use
its tw
o su
bato
mic
pa
rtic
les
are
oppo
site
ly c
harg
ed.
Clu
ster
A
pply
and
ext
end
prev
ious
und
erst
andi
ngs
of o
pera
tions
with
fr
actio
ns to
add
, sub
tract
, mul
tiply
, and
div
ide
ratio
nal n
umbe
rs
Tar
get
# T
arge
t T
ype
Stat
e T
arge
t St
uden
t Fri
endl
y T
arge
t Su
cces
s C
rite
ria
(If A
ppro
pria
te)
Res
ourc
es
1 K
D
escr
ibe
situ
atio
ns in
whi
ch
oppo
site
qua
ntiti
es c
ombi
ne
to m
ake
0
I can
des
crib
e si
tuat
ions
whe
re o
ppos
ite q
uant
ities
co
mbi
ne to
mak
e ze
ro.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics%
9 W
eeks
Gra
de.C
onte
nt.S
tand
ard
O
vera
ll St
anda
rd T
ype
1st
2
nd
3
rd
4
th
7.N
S.1b
K
R
S
P
Dom
ain
Stan
dard
Th
e N
umbe
r Sys
tem
U
nder
stan
d p
+ q
as
the
num
ber l
ocat
ed a
dis
tanc
e Iq
I fro
m p
in th
e po
sitiv
e or
ne
gativ
e di
rect
ion
depe
ndin
g on
whe
ther
q is
pos
itive
or n
egat
ive.
Sho
w th
at a
nu
mbe
r and
its
posi
tive
have
a s
um o
f 0 (a
re a
dditi
ve in
vers
e).
Inte
rpre
t sum
s of
ratio
nal n
umbe
rs b
y de
scrib
ing
real
wor
ld c
onte
xts.
C
lust
er
App
ly a
nd e
xten
d pr
evio
us u
nder
stan
ding
s of
ope
ratio
ns w
ith
frac
tions
to a
dd, s
ubtra
ct, m
ultip
ly, a
nd d
ivid
e ra
tiona
l num
bers
T
arge
t #
Tar
get
Typ
e St
ate
Tar
get
Stud
ent F
rien
dly
Tar
get
Succ
ess
Cri
teri
a (I
f App
ropr
iate
) R
esou
rces
1 K
K
now
that
a n
umbe
r and
its
oppo
site
hav
e a
sum
of 0
, an
d ar
e ad
ditiv
e in
vers
es
I can
iden
tify
addi
tive
inve
rses
.
2 K
I can
add
add
itive
inve
rses
to m
ake
0.
3 K
K
now
that
whe
n ad
ding
two
num
bers
, p+q
, if q
is
posi
tive,
the
sum
of p
and
q
will
be
q
spac
es to
the
right
of p
on
the
num
ber l
ine
I can
kno
w th
at w
hen
addi
ng a
pos
itive
num
ber I
am
m
ovin
g to
the
right
on
the
num
ber l
ine.
4 K
K
now
that
whe
n ad
ding
two
num
bers
, p+q
, if q
is
nega
tive,
the
sum
of p
and
q
will
be
q
spac
es to
the
left
of p
on
the
num
ber l
ine
I can
kno
w th
at w
hen
addi
ng a
neg
ativ
e nu
mbe
r I a
m
mov
ing
to th
e le
ft on
the
num
ber l
ine.
5 R
A
pply
and
ext
end
prev
ious
un
ders
tand
ing
to re
pres
ent
addi
tion
prob
lem
s of
ratio
nal
num
bers
with
a h
oriz
onta
l or
verti
cal n
umbe
r lin
e
I can
repr
esen
t add
ition
pro
blem
s w
ith a
num
ber l
ine.
6 R
In
terp
ret s
ums
of ra
tiona
l nu
mbe
rs b
y de
scrib
ing
real
w
orld
con
text
s
I can
rela
te s
olut
ions
of i
nteg
er a
nd fr
actio
n pr
oble
ms
to
real
wor
ld s
ituat
ions
.
7 R
A
naly
ze a
nd e
xpla
in w
hy th
e su
m o
f p +
q is
loca
ted
a di
stan
ce o
f |q|
in th
e po
sitiv
e or
neg
ativ
e di
rect
ion
from
p
on a
num
ber l
ine
I can
exp
lain
why
you
mov
e le
ft or
righ
t on
a nu
mbe
r lin
e ba
sed
on th
e ty
pe o
f add
ition
pro
blem
.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics%
9 W
eeks
Gra
de.C
onte
nt.S
tand
ard
O
vera
ll St
anda
rd T
ype
1st
2
nd
3
rd
4
th
7.N
S.1c
K
R
S
P
Dom
ain
Stan
dard
Th
e N
umbe
r Sys
tem
U
nder
stan
d su
btra
ctio
n of
ratio
nal n
umbe
rs a
s ad
ding
the
addi
tive
inve
rse,
p –
q
= p
+ (–
q). S
how
that
the
dist
ance
bet
wee
n tw
o ra
tiona
l num
bers
on
the
num
ber l
ine
is th
e ab
solu
te v
alue
of t
heir
diff
eren
ce, a
nd a
pply
this
prin
cipl
e in
re
al-w
orld
con
text
s.
Clu
ster
A
pply
and
ext
end
prev
ious
und
erst
andi
ngs
of o
pera
tions
with
fr
actio
ns to
add
, sub
tract
, mul
tiply
, and
div
ide
ratio
nal n
umbe
rs
Tar
get
# T
arge
t T
ype
Stat
e T
arge
t St
uden
t Fri
endl
y T
arge
t Su
cces
s C
rite
ria
(If A
ppro
pria
te)
Res
ourc
es
1 K
Sh
ow th
at th
e di
stan
ce
betw
een
two
ratio
nal
num
bers
on
the
num
ber l
ine
is th
e ab
solu
te v
alue
of t
heir
diff
eren
ce
I can
find
the
dist
ance
bet
wee
n tw
o nu
mbe
rs o
n a
num
ber l
ine
by fi
ndin
g th
e ab
solu
te v
alue
of t
heir
diff
eren
ce.
2 R
A
pply
and
ext
end
prev
ious
un
ders
tand
ing
to re
pres
ent
subt
ract
ion
prob
lem
s of
ra
tiona
l num
bers
with
a
horiz
onta
l or v
ertic
al n
umbe
r lin
e
I can
repr
esen
t sub
tract
ion
prob
lem
s w
ith a
num
ber l
ine.
3 R
A
pply
the
addi
tive
inve
rse
prop
erty
to s
ubtra
ct ra
tiona
l nu
mbe
rs, p
-q =
p +
(-q)
I can
cha
nge
subt
ract
ion
prob
lem
s to
add
ition
pro
blem
s us
ing
the
addi
tive
inve
rse
prop
erty
.
4 R
A
pply
the
prin
cipl
e of
su
btra
ctin
g ra
tiona
l num
bers
in
real
-wor
ld c
onte
xts
I can
sol
ve re
al w
orld
pro
blem
s in
volv
ing
subt
ract
ing
ratio
nal n
umbe
rs.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics%
9 W
eeks
Gra
de.C
onte
nt.S
tand
ard
O
vera
ll St
anda
rd T
ype
1st
2
nd
3
rd
4
th
7.N
S.1d
K
R
S
P
Dom
ain
Stan
dard
Th
e N
umbe
r Sys
tem
A
pply
pro
perti
es o
f ope
ratio
ns a
s st
rate
gies
to a
dd a
nd s
ubtra
ct ra
tiona
l nu
mbe
rs.
Clu
ster
A
pply
and
ext
end
prev
ious
und
erst
andi
ngs
of a
dditi
on a
nd
subt
ract
ion
to a
dd a
nd s
ubtra
ct ra
tiona
l num
bers
; rep
rese
nt
addi
tion
and
subt
ract
ion
on a
hor
izon
tal o
r ver
tical
num
ber l
ine
diag
ram
T
arge
t #
Tar
get
Typ
e St
ate
Tar
get
Stud
ent F
rien
dly
Tar
get
Succ
ess
Cri
teri
a (I
f App
ropr
iate
) R
esou
rces
1 R
A
pply
pro
perti
es o
f op
erat
ions
as
stra
tegi
es to
ad
d an
d su
btra
ct ra
tiona
l nu
mbe
rs
I can
app
ly m
athe
mat
ical
pro
perti
es to
add
and
sub
tract
ra
tiona
l num
bers
. (ad
ditiv
e in
vers
e, c
omm
utat
ive,
as
soci
ativ
e)
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics%
9 W
eeks
Gra
de.C
onte
nt.S
tand
ard
O
vera
ll St
anda
rd T
ype
1st
2
nd
3
rd
4
th
7.N
S.2a
K
R
S
P
Dom
ain
Stan
dard
Th
e N
umbe
r Sys
tem
A
pply
and
ext
end
prev
ious
und
erst
andi
ngs
of m
ultip
licat
ion
and
divi
sion
and
of
frac
tions
to m
ultip
ly a
nd d
ivid
e ra
tiona
l num
bers
. a.
Und
erst
and
that
mul
tiplic
atio
n is
ext
ende
d fr
om fr
actio
ns to
ratio
nal
num
bers
by
requ
iring
that
ope
ratio
ns c
ontin
ue to
sat
isfy
the
prop
ertie
s of
op
erat
ions
, par
ticul
arly
the
dist
ribut
ive
prop
erty
, lea
ding
to p
rodu
cts
such
as
(-1)
(-1)
= 1
and
the
rule
s fo
r mul
tiply
ing
sign
ed n
umbe
rs.
Inte
rpre
t pro
duct
s of
ra
tiona
l num
bers
by
desc
ribin
g re
al-w
orld
con
text
s.
Clu
ster
A
pply
and
ext
end
prev
ious
und
erst
andi
ngs
of m
ultip
licat
ion
and
divi
sion
of f
ract
ions
to m
ultip
ly a
nd d
ivid
e ra
tiona
l num
bers
Tar
get
# T
arge
t T
ype
Stat
e T
arge
t St
uden
t Fri
endl
y T
arge
t Su
cces
s C
rite
ria
(If A
ppro
pria
te)
Res
ourc
es
1 K
R
ecog
nize
that
the
proc
ess
for m
ultip
lyin
g fr
actio
ns c
an
be u
sed
to m
ultip
ly ra
tiona
l nu
mbe
rs in
clud
ing
inte
gers
I can
mul
tiply
frac
tions
.
2 K
I can
mul
tiply
inte
gers
.
3 K
K
now
and
des
crib
e th
e ru
les
whe
n m
ultip
lyin
g si
gned
nu
mbe
rs
I can
mul
tiply
pos
itive
and
neg
ativ
e fr
actio
ns.
4 K
I can
mul
tiply
pos
itive
and
neg
ativ
e in
tege
rs.
5
R
App
ly th
e pr
oper
ties
of
oper
atio
ns, p
artic
ular
ly
dist
ribut
ive
prop
erty
, to
mul
tiply
ratio
nal n
umbe
rs
I can
app
ly th
e di
strib
utiv
e pr
oper
ty to
mul
tiply
ratio
nal
num
bers
.
6 R
In
terp
ret t
he p
rodu
cts
of
ratio
nal n
umbe
rs b
y de
scrib
ing
a re
al–w
orld
co
ntex
t
I can
writ
e a
real
-wor
ld p
robl
em to
fit w
ith th
e pr
oduc
t of
ratio
nal n
umbe
rs.
Mak
e se
nse
of
prob
lem
s an
d pe
rsev
ere
in s
olvi
ng
them
.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics%
9 W
eeks
Gra
de.C
onte
nt.S
tand
ard
O
vera
ll St
anda
rd T
ype
1st
2
nd
3
rd
4
th
7.N
S.2b
K
R
S
P
Dom
ain
Stan
dard
Th
e N
umbe
r Sys
tem
U
nder
stan
d th
at in
tege
rs c
an b
e di
vide
d pr
ovid
ed th
at th
e di
viso
r is
not z
ero
and
ever
y qu
otie
nt o
f int
eger
s (w
ith n
onze
ro d
ivis
or) i
s a
ratio
nal n
umbe
r. If
p
and
q ar
e in
tege
rs, t
hen
–(p/
q) =
-p/q
= p
/-q.
Inte
rpre
t quo
tient
s of
ratio
nal
num
bers
by
desc
ribin
g re
al-w
orld
con
text
s.
Clu
ster
A
pply
and
ext
end
prev
ious
und
erst
andi
ngs
of m
ultip
licat
ion
and
divi
sion
of f
ract
ions
to m
ultip
ly a
nd d
ivid
e ra
tiona
l num
bers
T
arge
t #
Tar
get
Typ
e St
ate
Tar
get
Stud
ent F
rien
dly
Tar
get
Succ
ess
Cri
teri
a (I
f App
ropr
iate
) R
esou
rces
1 K
Ex
plai
n w
hy i
nteg
ers
can
be
divi
ded
exce
pt w
hen
the
divi
sor i
s 0
I can
div
ide
inte
gers
.
2 K
I can
exp
lain
why
you
can
not d
ivid
e by
zer
o.
3
K
Des
crib
e w
hy th
e qu
otie
nt is
al
way
s a
ratio
nal n
umbe
r I c
an d
escr
ibe
why
the
answ
er to
a d
ivis
ion
prob
lem
will
al
way
s be
a ra
tiona
l num
ber.
4 K
K
now
and
des
crib
e th
e ru
les
whe
n di
vidi
ng s
igne
d nu
mbe
rs, i
nteg
ers
I can
div
ide
nega
tive
and
posi
tive
ratio
nal n
umbe
rs.
5 K
I can
des
crib
e th
e ru
les
for d
ivid
ing
inte
gers
.
6 K
R
ecog
nize
that
: –(
p/q)
= -
p/q
= p/
-q
I can
reco
gniz
e th
at –
(p/q
) = -p
/q =
p/-q
.
7 R
In
terp
ret t
he q
uotie
nt o
f ra
tiona
l num
bers
by
desc
ribin
g a
real
–wor
ld
cont
ext
I can
writ
e a
real
-wor
ld p
robl
em to
fit w
ith th
e qu
otie
nt
of ra
tiona
l num
bers
.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics%
9 W
eeks
Gra
de.C
onte
nt.S
tand
ard
O
vera
ll St
anda
rd T
ype
1st
2
nd
3
rd
4
th
7.N
S.2c
K
R
S
P
Dom
ain
Stan
dard
Th
e N
umbe
r Sys
tem
A
pply
pro
perti
es o
f ope
ratio
ns a
s st
rate
gies
to m
ultip
ly a
nd d
ivid
e ra
tiona
l nu
mbe
rs.
Clu
ster
A
pply
and
ext
end
prev
ious
und
erst
andi
ngs
of m
ultip
licat
ion
and
divi
sion
of f
ract
ions
to m
ultip
ly a
nd d
ivid
e ra
tiona
l num
bers
T
arge
t #
Tar
get
Typ
e St
ate
Tar
get
Stud
ent F
rien
dly
Tar
get
Succ
ess
Cri
teri
a (I
f App
ropr
iate
) R
esou
rces
1 K
Id
entif
y ho
w p
rope
rties
of
oper
atio
ns c
an b
e us
ed t
o m
ultip
ly a
nd d
ivid
e ra
tiona
l nu
mbe
rs (s
uch
as d
istri
butiv
e pr
oper
ty, m
ultip
licat
ive
inve
rse
prop
erty
, m
ultip
licat
ive
iden
tity,
co
mm
utat
ive
prop
erty
for
mul
tiplic
atio
n, a
ssoc
iativ
e pr
oper
ty fo
r mul
tiplic
atio
n,
etc.
)
I can
iden
tify
the
prop
ertie
s of
ope
ratio
ns in
volv
ing
mul
tiplic
atio
n an
d di
visi
on.
2 R
A
pply
pro
perti
es o
f op
erat
ions
as
stra
tegi
es to
m
ultip
ly a
nd d
ivid
e ra
tiona
l nu
mbe
rs
I can
app
ly th
e pr
oper
ties
of o
pera
tions
invo
lvin
g m
ultip
licat
ion
and
divi
sion
.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics%
%
9 W
eeks
Gra
de.C
onte
nt.S
tand
ard
O
vera
ll St
anda
rd T
ype
1st
2
nd
3
rd
4
th
7.N
S.2d
K
R
S
P
Dom
ain
Stan
dard
Th
e N
umbe
r Sys
tem
C
onve
rt a
ratio
nal n
umbe
r to
a de
cim
al u
sing
long
div
isio
n; k
now
that
the
deci
mal
form
of a
ratio
nal n
umbe
r ter
min
ates
in z
eroe
s or
eve
ntua
lly re
peat
s.
Clu
ster
A
pply
and
ext
end
prev
ious
und
erst
andi
ngs
of m
ultip
licat
ion
and
divi
sion
of f
ract
ions
to m
ultip
ly a
nd d
ivid
e ra
tiona
l num
bers
T
arge
t #
Tar
get
Typ
e St
ate
Tar
get
Stud
ent F
rien
dly
Tar
get
Succ
ess
Cri
teri
a (I
f App
ropr
iate
) R
esou
rces
1 K
C
onve
rt a
ratio
nal n
umbe
r to
a de
cim
al u
sing
long
div
isio
n I c
an c
hang
e fr
actio
ns in
to d
ecim
als
usin
g lo
ng d
ivis
ion.
2 K
Ex
plai
n th
at th
e de
cim
al
form
of a
ratio
nal n
umbe
r te
rmin
ates
(sto
ps) i
n ze
roes
or
repe
ats
I can
exp
lain
that
ratio
nal n
umbe
rs w
ritte
n as
dec
imal
s ha
ve a
dec
imal
that
term
inat
es o
r rep
eats
.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics%
%
9 W
eeks
Gra
de.C
onte
nt.S
tand
ard
O
vera
ll St
anda
rd T
ype
1st
2
nd
3
rd
4
th
7.N
S.3
K
R
S
P
D
omai
n St
anda
rd
The
Num
ber S
yste
m
Solv
e re
al-w
orld
and
mat
hem
atic
al p
robl
ems
invo
lvin
g th
e fo
ur o
pera
tions
w
ith ra
tiona
l num
bers
.1
1 C
ompu
tatio
ns w
ith ra
tiona
l num
bers
ext
end
the
rule
s fo
r man
ipul
atin
g fr
actio
ns to
com
plex
frac
tions
C
lust
er
App
ly a
nd e
xten
d pr
evio
us u
nder
stan
ding
s of
mul
tiplic
atio
n an
d di
visi
on o
f fra
ctio
ns to
mul
tiply
and
div
ide
ratio
nal n
umbe
rs
Tar
get
# T
arge
t T
ype
Stat
e T
arge
t St
uden
t Fri
endl
y T
arge
t Su
cces
s C
rite
ria
(If A
ppro
pria
te)
Res
ourc
es
1 K
A
dd ra
tiona
l num
bers
I c
an a
dd ra
tiona
l num
bers
.
2 K
Su
btra
ct ra
tiona
l num
bers
I c
an s
ubtra
ct ra
tiona
l num
bers
.
3 K
M
ultip
ly ra
tiona
l num
bers
I c
an m
ultip
ly ra
tiona
l num
bers
.
4 K
D
ivid
e ra
tiona
l num
bers
I c
an d
ivid
e ra
tiona
l num
bers
.
5 R
So
lve
real
-wor
ld
mat
hem
atic
al p
robl
em b
y ad
ding
, sub
tract
ing,
m
ultip
lyin
g, a
nd d
ivid
ing
ratio
nal n
umbe
rs, i
nclu
ding
co
mpl
ex fr
actio
ns
I can
sol
ve re
al w
orld
pro
blem
s by
add
ing,
sub
tract
ing,
m
ultip
lyin
g, a
nd d
ivid
ing
ratio
nal n
umbe
rs.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics!
9
Wee
ks
G
rade
.Con
tent
.Sta
ndar
d
Ove
rall
Stan
dard
Typ
e 1st
2nd
3rd
4th
7.
RP.
1
K
R
S
P
Dom
ain
Stan
dard
R
atio
and
Pro
porti
onal
Rel
atio
nshi
ps
Com
pute
uni
t rat
es a
ssoc
iate
d w
ith ra
tios
of fr
actio
ns, i
nclu
ding
ratio
s of
le
ngth
s, a
reas
and
oth
er q
uant
ities
mea
sure
d in
like
or d
iffer
ent u
nits
. For
ex
ampl
e, if
a p
erso
n w
alks
1/2
mile
in e
ach
1/4
hour
, com
pute
the
unit
rate
as
the
com
plex
frac
tion
(1/2
)/(1/
4) m
iles
per
hour
, equ
ival
ently
2 m
iles
per
hour
. C
lust
er
Ana
lyze
pro
porti
onal
rela
tions
hips
and
use
them
to s
olve
real
-w
orld
and
mat
hem
atic
s pr
oble
ms
Tar
get
# T
arge
t T
ype
Stat
e T
arge
t St
uden
t Fri
endl
y T
arge
t Su
cces
s C
rite
ria
(If A
ppro
pria
te)
Res
ourc
es
1 K
C
ompu
te u
nit r
ates
as
soci
ated
with
ratio
s of
fr
actio
ns in
like
or d
iffer
ent
units
I can
find
uni
t rat
es w
ith ra
tios
that
hav
e lik
e an
d un
like
units
.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics%
9 W
eeks
Gra
de.C
onte
nt.S
tand
ard
O
vera
ll St
anda
rd T
ype
1st
2
nd
3
rd
4
th
7.R
P.2
K
R
S
P
D
omai
n St
anda
rd
Rat
io a
nd P
ropo
rtion
al R
elat
ions
hips
R
ecog
nize
and
repr
esen
t pro
porti
onal
rela
tions
hips
bet
wee
n qu
antit
ies.
a.
Dec
ide
whe
ther
two
quan
titie
s ar
e in
a p
ropo
rtion
al re
latio
nshi
p, e
.g.,
by te
stin
g fo
r eq
uiva
lent
ratio
s in
a ta
ble
or g
raph
ing
on a
coo
rdin
ate
plan
e an
d ob
serv
ing
whe
ther
the
grap
h is
a s
traig
ht li
ne th
roug
h th
e or
igin
. b.
Iden
tify
the
cons
tant
of p
ropo
rtion
ality
(uni
t rat
e) in
tabl
es, g
raph
s, e
quat
ions
, dia
gram
s, a
nd
verb
al d
escr
iptio
ns o
f pro
porti
onal
rela
tions
hips
. c.
Rep
rese
nt p
ropo
rtion
al re
latio
nshi
ps b
y eq
uatio
ns. F
or e
xam
ple,
if to
tal c
ost t
is p
ropo
rtion
al
to th
e nu
mbe
r n o
f ite
ms
purc
hase
d at
a c
onst
ant p
rice
p, th
e re
latio
nshi
p be
twee
n th
e to
tal c
ost
and
the
num
ber o
f ite
ms
can
be e
xpre
ssed
as
t = p
n.
d. E
xpla
in w
hat a
poi
nt (x
, y) o
n th
e gr
aph
of a
pro
porti
onal
rela
tions
hip
mea
ns in
term
s of
the
situ
atio
n, w
ith s
peci
al a
ttent
ion
to th
e po
ints
(0, 0
) and
(1, r
) whe
re r
is th
e un
it ra
te.
Clu
ster
A
naly
ze p
ropo
rtion
al re
latio
nshi
ps a
nd u
se th
em
to s
olve
real
-wor
ld a
nd m
athe
mat
ics
prob
lem
s
Tar
get
# T
arge
t T
ype
Stat
e T
arge
t St
uden
t Fri
endl
y T
arge
t Su
cces
s C
rite
ria
(If A
ppro
pria
te)
Res
ourc
es
1 K
Know
that a
proportio
n is a
statem
ent o
f e
quality b
etw
een
tw
o r
atio
s
I can u
se c
ross p
roduct t
o d
eterm
ine if t
wo r
atio
s a
re
proportio
nal.
2 K
D
efin
e c
onstant o
f
proportio
nality a
s a
unit
rate
I can identif
y t
he u
nit
rate a
s t
he c
onstant o
f
proportio
nality.
3 K
Recogniz
e w
hat (
0,
0)
represents o
n t
he g
raph o
f a
proportio
nal
rela
tio
nship
I can identif
y(0
,0)
as t
he s
tartin
g p
oin
t o
f p
roportio
nal
rela
tio
nship
s.
(0 c
andy b
ars =
0 m
oney p
aid
)
4 K
Recogniz
e w
hat (
1,
r)
on a
graph r
epresents,
where r
is
the u
nit
rate
I can identif
y (
1,
r)
on a
graph a
s t
he u
nit
rate.
5 R
Analy
ze t
wo r
atio
s t
o
determ
ine if t
hey a
re
proportio
nal
to o
ne a
nother
wit
h a
varie
ty o
f s
trategie
s.
(e.g
. usin
g t
able
s,
graphs,
pic
tures,
etc.)
I can u
se t
able
s,
graphs,
and p
ictures t
o d
eterm
ine w
hether
tw
o r
atio
s a
re p
roportio
nal.
6 R
Analy
ze t
able
s,
graphs,
equatio
ns,
dia
gram
s,
and
verbal
descrip
tio
ns o
f
proportio
nal
rela
tio
nship
s t
o
identif
y t
he c
onstant o
f
proportio
nality
I can d
eterm
ine t
he c
onstant o
f p
roportio
nality (
unit
rate)
from
a v
arie
ty o
f d
ata r
epresentatio
ns (
table
s,
graphs,
equatio
ns,
dia
gram
s,
etc.)
7 R
Represent p
roportio
nal
rela
tio
nship
s b
y w
rit
ing
equatio
ns
I can w
rit
e e
quatio
ns t
o r
epresent p
roportio
nal
rela
tio
nship
s.
8 R
Expla
in w
hat t
he p
oin
ts o
n a
graph o
f a
proportio
nal
rela
tio
nship
means in t
erm
s o
f
a s
pecif
ic s
ituatio
n.
I can e
xpla
in w
hy (
1,
r)
is t
he u
nit
rate.
9 R
I can e
xpla
in t
hat a
ll p
oin
ts o
n t
he l
ine g
raphed w
ill
be
proportio
nal
to o
ne a
nother.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics%
9 W
eeks
Gra
de.C
onte
nt.S
tand
ard
O
vera
ll St
anda
rd T
ype
1st
2
nd
3
rd
4
th
7.R
P.3
K
R
S
P
D
omai
n St
anda
rd
Rat
io a
nd P
ropo
rtion
al R
elat
ions
hips
U
se p
ropo
rtion
al re
latio
nshi
ps to
sol
ve m
ulti-
step
ratio
and
per
cent
pro
blem
s.
Exam
ples
: sim
ple
inte
rest
, tax
, mar
kups
and
mar
kdow
ns, g
ratu
ities
and
co
mm
issi
ons,
fees
, per
cent
incr
ease
and
dec
reas
e, p
erce
nt e
rror
. C
lust
er
Ana
lyze
pro
porti
onal
rela
tions
hips
and
use
them
to s
olve
real
-w
orld
and
mat
hem
atic
s pr
oble
ms
Tar
get
# T
arge
t T
ype
Stat
e T
arge
t St
uden
t Fri
endl
y T
arge
t Su
cces
s C
rite
ria
(If A
ppro
pria
te)
Res
ourc
es
1 K
R
ecog
nize
situ
atio
ns in
w
hich
per
cent
age
prop
ortio
nal r
elat
ions
hips
ap
ply
I can
iden
tify
whe
n to
use
per
cent
pro
porti
ons.
2 R
A
pply
pro
porti
onal
reas
onin
g to
sol
ve m
ulti-
step
ratio
and
pe
rcen
t pro
blem
s, e
.g.,
sim
ple
inte
rest
, tax
, mar
kups
, m
arkd
owns
, gra
tuiti
es,
com
mis
sion
s, fe
es, p
erce
nt
incr
ease
and
dec
reas
e,
perc
ent e
rror
, etc
.
I can
ana
lyze
pro
porti
onal
rela
tions
hips
and
use
them
to
solv
e re
al-w
orld
and
mat
hem
atic
al p
robl
ems.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics!
9
Wee
ks
G
rade
.Con
tent
.Sta
ndar
d
Ove
rall
Stan
dard
Typ
e 1st
2nd
3rd
4th
7.
SP.1
K
R
S
P
Dom
ain
Stan
dard
St
atis
tics
and
Prob
abili
ty
Und
erst
and
that
sta
tistic
s ca
n be
use
d to
gai
n in
form
atio
n ab
out a
pop
ulat
ion
by
exam
inin
g a
sam
ple
of a
pop
ulat
ion;
gen
eral
izat
ions
abo
ut a
pop
ulat
ion
from
a
sam
ple
are
valid
onl
y if
the
sam
ple
is a
repr
esen
tatio
n of
that
pop
ulat
ion.
U
nder
stan
ding
that
rand
om s
ampl
ing
tend
s to
pro
duce
repr
esen
tativ
e sa
mpl
es
and
supp
ort v
alid
infe
renc
es.
Clu
ster
U
se ra
ndom
sam
plin
g to
dra
w in
terf
aces
abo
ut a
pop
ulat
ion
Tar
get
# T
arge
t T
ype
Stat
e T
arge
t St
uden
t Fri
endl
y T
arge
t Su
cces
s C
rite
ria
(If A
ppro
pria
te)
Res
ourc
es
1 K
K
now
sta
tistic
s te
rms
such
as
popu
latio
n, s
ampl
e, s
ampl
e si
ze, r
ando
m s
ampl
ing,
ge
nera
lizat
ions
, val
id, b
iase
d an
d un
bias
ed
I can
def
ine:
•
Popu
latio
n •
Sam
ple
• Sa
mpl
e Si
ze
• R
ando
m S
ampl
ing
• G
ener
aliz
atio
ns
• V
alid
•
Bia
sed
• U
nbia
sed
2 K
R
ecog
nize
sam
plin
g te
chni
ques
suc
h as
co
nven
ienc
e, ra
ndom
, sy
stem
atic
, and
vol
unta
ry
I can
reco
gniz
e th
e di
ffer
ent t
ypes
of s
ampl
ing
tech
niqu
es.
3 K
K
now
that
gen
eral
izat
ions
ab
out a
pop
ulat
ion
from
a
sam
ple
are
valid
onl
y if
the
sam
ple
is re
pres
enta
tive
of
that
pop
ulat
ion
I und
erst
and
that
the
sam
ple
grou
p m
ust b
e di
vers
e en
ough
to re
pres
ent d
iffer
ence
s in
the
popu
latio
n. F
or
exam
ple,
if I
am s
urve
ying
7th
gra
de s
tude
nts
at m
y sc
hool
I w
ant t
o as
k bo
th s
exes
and
all
ethn
ic g
roup
s re
pres
ente
d at
my
scho
ol. I
wan
t to
ask
stud
ents
from
all
parts
of t
he s
choo
l dis
trict
not
just
one
nei
ghbo
rhoo
d.
4 R
A
pply
sta
tistic
s to
gai
n in
form
atio
n ab
out a
po
pula
tion
from
a s
ampl
e of
th
e po
pula
tion
I can
use
sta
tistic
s to
lear
n th
ings
abo
ut a
pop
ulat
ion
by
exam
inin
g a
smal
ler g
roup
of t
hat p
opul
atio
n ca
lled
a sa
mpl
e.
5 R
G
ener
aliz
e th
at ra
ndom
sa
mpl
ing
tend
s to
pro
duce
re
pres
enta
tive
sam
ples
and
su
ppor
t val
id in
fere
nces
I can
det
erm
ine
that
rand
om s
ampl
ing
show
s a
valid
re
pres
enta
tion
of th
e po
pula
tion.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics%
9 W
eeks
Gra
de.C
onte
nt.S
tand
ard
O
vera
ll St
anda
rd T
ype
1st
2
nd
3
rd
4
th
7.SP
.2
K
R
S
P
D
omai
n St
anda
rd
Stat
istic
s an
d Pr
obab
ility
U
se d
ata
from
rand
om s
ampl
ing
to d
raw
infe
renc
es a
bout
a p
opul
atio
n w
ith a
n un
know
n ch
arac
teris
tic o
f int
eres
t. G
ener
ate
mul
tiple
sam
ples
(or s
imul
ated
sa
mpl
es) o
f the
sam
e si
ze to
gau
ge th
e va
riatio
n in
est
imat
es o
r pre
dict
ions
. Fo
r ex
ampl
e, e
stim
ate
the
mea
n w
ord
leng
th in
a b
ook
by r
ando
mly
sam
plin
g w
ords
from
a b
ook;
pre
dict
the
win
ner
of a
sch
ool e
lect
ion
base
d on
ran
dom
ly
sam
pled
sur
vey
data
. Gau
ge h
ow fa
r of
f the
est
imat
e or
pre
dict
ion
mig
ht b
e.
Clu
ster
U
se ra
ndom
sam
plin
g to
dra
w in
terf
aces
abo
ut a
pop
ulat
ion
Tar
get
# T
arge
t T
ype
Stat
e T
arge
t St
uden
t Fri
endl
y T
arge
t Su
cces
s C
rite
ria
(If A
ppro
pria
te)
Res
ourc
es
1 K
D
efin
e ra
ndom
sam
ple
I c
an d
efin
e ra
ndom
sam
ple.
2 K
Id
entif
y an
app
ropr
iate
sa
mpl
e si
ze
I can
iden
tify
an a
ppro
pria
te s
ampl
e si
ze b
ased
on
the
size
of m
y po
pula
tion.
3 R
A
naly
ze &
inte
rpre
t dat
a fr
om a
rand
om s
ampl
e to
dr
aw in
fere
nces
abo
ut a
po
pula
tion
I can
mak
e an
info
rmed
pre
dict
ion
or e
stim
atio
n ab
out a
po
pula
tion
usin
g da
ta fr
om a
rand
om s
ampl
e of
the
popu
latio
n.
4 R
G
ener
ate
mul
tiple
sam
ples
(o
r sim
ulat
ed s
ampl
es) o
f the
sa
me
size
to d
eter
min
e th
e va
riatio
n in
est
imat
es o
r pr
edic
tions
by
com
parin
g an
d co
ntra
stin
g th
e sa
mpl
es
I can
use
gra
phic
al o
r num
eric
al d
ata
to c
ompa
re
rand
om s
ampl
es.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics%
9 W
eeks
Gra
de.C
onte
nt.S
tand
ard
O
vera
ll St
anda
rd T
ype
1st
2
nd
3
rd
4
th
7.SP
.3
K
R
S
P
D
omai
n St
anda
rd
Stat
istic
s an
d Pr
obab
ility
In
form
ally
ass
ess
the
degr
ee o
f vis
ual o
verla
p of
two
num
eric
al d
ata
dist
ribut
ions
with
sim
ilar v
aria
bilit
ies,
mea
surin
g th
e di
ffer
ence
bet
wee
n th
e ce
nter
s by
exp
ress
ing
it as
a m
ultip
le o
f a m
easu
re o
f var
iabi
lity.
For
exa
mpl
e,
the
mea
n he
ight
of p
laye
rs o
n th
e ba
sket
ball
team
is 1
0 cm
gre
ater
than
the
mea
n he
ight
of t
he p
laye
rs o
n th
e so
ccer
team
, abo
ut tw
ice
the
vari
abili
ty
(mea
n ab
solu
te d
evia
tion)
on
eith
er te
am; o
n a
dot p
lot,
the
sepa
ratio
n be
twee
n th
e tw
o di
stri
butio
ns o
f hei
ghts
is n
otic
eabl
e.
Clu
ster
D
raw
info
rmal
com
para
tive
infe
renc
es a
bout
two
popu
latio
ns
Tar
get
# T
arge
t T
ype
Stat
e T
arge
t St
uden
t Fri
endl
y T
arge
t Su
cces
s C
rite
ria
(If A
ppro
pria
te)
Res
ourc
es
1 K
Id
entif
y m
easu
res
of c
entra
l te
nden
cy (m
ean,
med
ian,
m
ode)
in a
dat
a di
strib
utio
n
I can
iden
tify
mea
sure
s of
cen
tral t
ende
ncy.
2 K
Id
entif
y m
easu
res
of
varia
tion
incl
udin
g up
per
quar
tile,
low
er q
uarti
le,
uppe
r ext
rem
e m
axim
um,
low
er e
xtre
me
max
imum
, ra
nge,
inte
rqua
rtile
rang
e,
and
mea
n ab
solu
te d
evia
tion.
(ie
: box
and
whi
sker
plo
t, do
t pl
ot, e
tc)
I can
iden
tify
mea
sure
s of
var
iabi
lity
(low
er e
xtre
me,
lo
wer
qua
rtile
, upp
er q
uarti
le, u
pper
ext
rem
e, ra
nge,
in
terq
uarti
le ra
nge
and
mea
n ab
solu
te d
evia
tion*
).
3 R
C
ompa
re tw
o nu
mer
ical
dat
a di
strib
utio
ns o
n a
grap
h by
vi
sual
ly c
ompa
ring
data
di
spla
ys, a
nd a
sses
sing
the
degr
ee o
f vis
ual o
verla
p
I can
repr
esen
t the
dat
a gr
aphi
cally
to s
how
a d
iffer
ence
in
the
two
data
set
s; u
sing
a s
catte
r plo
t, do
t plo
t, or
a
box-
and-
whi
sker
plo
t to
show
the
spre
ad th
e of
dat
a.
4 R
C
ompa
re th
e di
ffer
ence
s in
th
e m
easu
re o
f cen
tral
tend
ency
in tw
o nu
mer
ical
da
ta d
istri
butio
ns b
y m
easu
ring
the
diff
eren
ce
betw
een
the
cent
ers
and
expr
essi
ng it
as
a m
ultip
le o
f a
mea
sure
of v
aria
bilit
y
I can
find
the
varia
bilit
y of
the
data
set
and
use
the
mea
n to
say
som
ethi
ng a
bout
the
diff
eren
ces
of th
e tw
o da
ta
sets
.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics%
9 W
eeks
Gra
de.C
onte
nt.S
tand
ard
O
vera
ll St
anda
rd T
ype
1st
2
nd
3
rd
4
th
7.SP
.4
K
R
S
P
D
omai
n St
anda
rd
Stat
istic
s an
d Pr
obab
ility
U
se m
easu
res
of c
ente
r and
mea
sure
s of
var
iabi
lity
for n
umer
ical
dat
a fr
om
rand
om s
ampl
es to
dra
w in
form
al c
ompa
rativ
e in
fere
nces
abo
ut tw
o po
pula
tions
. For
exa
mpl
e, d
ecid
e w
heth
er w
ords
in a
cha
pter
of a
sev
enth
-gr
ade
scie
nce
book
are
gen
eral
ly lo
nger
than
the
wor
ds in
a c
hapt
er o
f a fo
urth
-gr
ade
scie
nce
book
.
Clu
ster
D
raw
info
rmal
com
para
tive
infe
renc
es a
bout
two
popu
latio
ns
Tar
get
# T
arge
t T
ype
Stat
e T
arge
t St
uden
t Fri
endl
y T
arge
t Su
cces
s C
rite
ria
(If A
ppro
pria
te)
Res
ourc
es
1 K
Fi
nd m
easu
res
of c
entra
l te
nden
cy (m
ean,
med
ian,
and
m
ode)
and
mea
sure
s of
va
riabi
lity
(ran
ge, q
uarti
le,
etc.
)
I can
find
the
mea
sure
s of
cen
tral t
ende
ncy,
mea
sure
s of
ce
nter
. I c
an fi
nd th
e m
ean
med
ian
and
mod
e of
the
data
se
ts a
nd m
ake
a co
mpa
rison
.
2 K
I can
find
the
varia
bilit
y of
the
data
set
. (ex
: ran
ge,
quar
tile)
3 R
A
naly
ze a
nd in
terp
ret d
ata
usin
g m
easu
res
of c
entra
l te
nden
cy a
nd v
aria
bilit
y
I can
use
the
mea
sure
s of
cen
ter a
nd v
aria
bilit
y to
in
terp
rete
r and
ana
lyze
the
data
.
4 R
D
raw
info
rmal
com
para
tive
infe
renc
es a
bout
two
popu
latio
ns fr
om ra
ndom
sa
mpl
es
I can
dra
w in
form
al c
ompa
rativ
e in
fere
nces
abo
ut tw
o po
pula
tions
from
rand
om s
ampl
es.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics%
9 W
eeks
Gra
de.C
onte
nt.S
tand
ard
O
vera
ll St
anda
rd T
ype
1st
2
nd
3
rd
4
th
7.SP
.5
K
R
S
P
D
omai
n St
anda
rd
Stat
istic
s an
d Pr
obab
ility
U
nder
stan
d th
at th
e pr
obab
ility
of a
cha
nce
even
t is
a nu
mbe
r bet
wee
n 0
and
1 th
at e
xpre
sses
the
likel
ihoo
d of
the
even
t occ
urrin
g. L
arge
r num
bers
indi
cate
gr
eate
r lik
elih
ood.
A p
roba
bilit
y ne
ar 0
indi
cate
s an
unl
ike
even
t, a
prob
abili
ty
arou
nd ½
indi
cate
s an
eve
nt th
at is
nei
ther
unl
ikel
y no
r lik
ely,
and
a p
roba
bilit
y ne
ar 1
indi
cate
s a
likel
y ev
ent.
Clu
ster
In
vest
igat
e ch
ance
pro
cess
es a
nd d
evel
op, u
se, a
nd e
valu
ate
prob
abili
ty m
odel
s T
arge
t #
Tar
get
Typ
e St
ate
Tar
get
Stud
ent F
rien
dly
Tar
get
Succ
ess
Cri
teri
a (I
f App
ropr
iate
) R
esou
rces
1 K
K
now
that
pro
babi
lity
is
expr
esse
d as
a n
umbe
r be
twee
n 0
and
1
I can
exp
ress
pro
babi
lity
as a
num
ber b
etw
een
0 an
d 1.
2 K
K
now
that
a ra
ndom
eve
nt
with
a p
roba
bilit
y of
½
eith
er o
utco
me
is e
qual
ly
likel
y to
hap
pen
I can
exp
lain
that
a ra
ndom
eve
nt w
ith a
pro
babi
lity
of
½ is
equ
ally
like
ly to
hap
pen
or n
ot h
appe
n.
3 K
K
now
that
as
prob
abili
ty
mov
es c
lose
r to
1 it
is
incr
easi
ngly
like
ly to
hap
pen
I can
sho
w th
at a
s pr
obab
ility
mov
es c
lose
r to
1, it
is
mos
t lik
ely
to o
ccur
.
4 K
K
now
that
as
prob
abili
ty
mov
es c
lose
r to
0 it
is
decr
easi
ngly
like
ly to
hap
pen
I can
sho
w th
at a
s pr
obab
ility
mov
es c
lose
r to
0, th
e ev
ent i
s m
ost l
ikel
y to
not
occ
ur.
5 R
D
raw
con
clus
ions
to
dete
rmin
e th
at a
gre
ater
lik
elih
ood
occu
rs a
s th
e nu
mbe
r of f
avor
able
ou
tcom
es a
ppro
ache
s th
e to
tal n
umbe
r of o
utco
mes
I can
use
the
prob
abili
ty fo
rmul
a to
det
erm
ine
if an
ev
ent i
s lik
ely
or u
nlik
ely
to o
ccur
.
Mak
e se
nse
of
prob
lem
s an
d pe
rsev
ere
in s
olvi
ng
them
.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics%
9 W
eeks
Gra
de.C
onte
nt.S
tand
ard
O
vera
ll St
anda
rd T
ype
1st
2
nd
3
rd
4
th
7.SP
.6
K
R
S
P
D
omai
n St
anda
rd
Stat
istic
s an
d Pr
obab
ility
A
ppro
xim
ate
the
prob
abili
ty o
f a c
hanc
e ev
ent b
y co
llect
ing
data
on
the
chan
ce
proc
ess
that
pro
duce
s it
and
obse
rvin
g its
long
-run
rela
tive
freq
uenc
y, a
nd
pred
ict t
he a
ppro
xim
ate
rela
tive
freq
uenc
y gi
ven
the
prob
abili
ty.
For
exam
ple,
w
hen
rolli
ng a
num
ber
cube
600
tim
es, p
redi
ct th
at a
3 o
r 6
wou
ld b
e ro
lled
roug
hly
200
times
, but
pro
babl
y no
t exa
ctly
200
tim
es.
Clu
ster
In
vest
igat
e ch
ance
pro
cess
es a
nd d
evel
op, u
se, a
nd e
valu
ate
prob
abili
ty m
odel
s T
arge
t #
Tar
get
Typ
e St
ate
Tar
get
Stud
ent F
rien
dly
Tar
get
Succ
ess
Cri
teri
a (I
f App
ropr
iate
) R
esou
rces
1 K
D
eter
min
e re
lativ
e fr
eque
ncy
(exp
erim
enta
l pro
babi
lity)
is
the
num
ber o
f tim
es a
n ou
tcom
e oc
curs
div
ided
by
the
tota
l num
ber o
f tim
es th
e ex
perim
ent i
s co
mpl
eted
I can
det
erm
ine
expe
rimen
tal p
roba
bilit
y of
an
even
t. T
his
mea
ns I
can
writ
e th
e pr
obab
ility
as
the
num
ber o
f tim
es a
des
ired
outc
ome
occu
rs d
ivid
ed b
y th
e nu
mbe
r of
tria
ls.
2 R
D
eter
min
e th
e re
latio
nshi
p be
twee
n ex
perim
enta
l and
th
eore
tical
pro
babi
litie
s by
us
ing
the
law
of l
arge
nu
mbe
rs
I can
det
erm
ine
from
repe
atin
g an
exp
erim
ent m
any
times
, the
exp
erim
enta
l pro
babi
lity
will
app
roac
h th
e th
eore
tical
pro
babi
lity
of th
e ev
ent.
3 R
Pr
edic
t the
rela
tive
freq
uenc
y (e
xper
imen
tal p
roba
bilit
y) o
f an
eve
nt b
ased
on
the
(theo
retic
al) p
roba
bilit
y
I can
pre
dict
the
expe
rimen
tal p
roba
bilit
y of
an
even
t ba
sed
on th
e th
eore
tical
pro
babi
lity.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics%
9 W
eeks
Gra
de.C
onte
nt.S
tand
ard
O
vera
ll St
anda
rd T
ype
1st
2
nd
3
rd
4
th
7.SP
.4ab
K
R
S
P
Dom
ain
Stan
dard
St
atis
tics
and
Prob
abili
ty
Dev
elop
a p
roba
bilit
y m
odel
and
use
it to
find
pro
babi
litie
s of
eve
nts.
C
ompa
re p
roba
bilit
ies
from
a m
odel
to o
bser
ved
freq
uenc
ies;
if th
e ag
reem
ent
is n
ot g
ood,
exp
lain
pos
sibl
e so
urce
s of
the
disc
repa
ncy.
a.
Dev
elop
a u
nifo
rm p
roba
bilit
y m
odel
by
assi
gnin
g eq
ual p
roba
bilit
y to
all
outc
omes
, and
use
the
mod
el to
det
erm
ine
prob
abili
ties
of e
vent
s.
b. D
evel
op a
pro
babi
lity
mod
el (w
hich
may
not
be
unifo
rm) b
y ob
serv
ing
freq
uenc
ies
in d
ata
gene
rate
d fr
om a
cha
nce
proc
ess.
For
exa
mpl
e, fi
nd th
e ap
prox
imat
e pr
obab
ility
that
a s
pinn
ing
penn
y w
ill la
nd h
eads
up
or th
at a
to
ssed
pap
er c
up w
ill la
nd o
pen-
end
dow
n. D
o th
e ou
tcom
es fo
r the
spi
nnin
g pe
nny
appe
ar to
be
equa
lly li
kely
bas
ed o
n th
e ob
serv
ed fr
eque
ncie
s?
Clu
ster
In
vest
igat
e ch
ance
pro
cess
es a
nd d
evel
op, u
se, a
nd e
valu
ate
prob
abili
ty m
odel
s
Tar
get
# T
arge
t T
ype
Stat
e T
arge
t St
uden
t Fri
endl
y T
arge
t Su
cces
s C
rite
ria
(If A
ppro
pria
te)
Res
ourc
es
1 K
R
ecog
nize
uni
form
(equ
ally
lik
ely)
pro
babi
lity
I can
iden
tify
whe
n th
e pr
obab
ility
of g
ettin
g va
rious
ou
tcom
es is
equ
ally
like
ly. (
Exam
ple:
roll
a di
e, s
pinn
er,
coin
s)
2 K
U
se m
odel
s to
det
erm
ine
the
prob
abili
ty o
f eve
nts
I can
use
diff
eren
t mod
els
(tree
dia
gram
s an
d ar
ea
mod
els)
to d
eter
min
e th
e pr
obab
ility
of e
vent
s fr
om th
e sa
mpl
e sp
ace.
3 R
D
evel
op a
uni
form
pr
obab
ility
mod
el a
nd u
se it
to
det
erm
ine
the
prob
abili
ty
of e
ach
outc
ome/
even
t
I can
cre
ate
a pr
obab
ility
mod
el a
nd u
se it
to d
eter
min
e th
e pr
obab
ility
for e
ach
outc
ome/
even
t.
4 R
D
evel
op a
pro
babi
lity
mod
el
(whi
ch m
ay n
ot b
e un
iform
) by
obs
ervi
ng fr
eque
ncie
s in
da
ta g
ener
ated
from
a c
hanc
e pr
oces
s
I can
cre
ate
a pr
obab
ility
mod
el b
y ob
serv
ing
freq
uenc
ies
in d
ata
gene
rate
d fr
om c
hanc
e pr
oces
s
5 R
A
naly
ze a
pro
babi
lity
mod
el
and
just
ify w
hy it
is u
nifo
rm
or e
xpla
in th
e di
scre
panc
y if
it is
not
I can
ana
lyze
a p
roba
bilit
y m
odel
and
det
erm
ine
whe
ther
it is
uni
form
or n
ot a
nd e
xpla
in w
hy it
is s
o.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics%
9 W
eeks
Gra
de.C
onte
nt.S
tand
ard
O
vera
ll St
anda
rd T
ype
1st
2
nd
3
rd
4
th
7.SP
.8a
K
R
S
P
D
omai
n St
anda
rd
Stat
istic
s an
d Pr
obab
ility
Fi
nd p
roba
bilit
ies
of c
ompo
und
even
ts u
sing
org
aniz
ed li
sts,
tabl
es, t
ree
diag
ram
s, a
nd s
imul
atio
ns.
a. U
nder
stan
d th
at, j
ust a
s w
ith s
impl
e ev
ents
, the
pro
babi
lity
of a
com
poun
d ev
ent i
s th
e fr
actio
n of
out
com
es in
the
sam
ple
spac
e fo
r whi
ch th
e co
mpo
und
even
t occ
urs.
Clu
ster
In
vest
igat
e ch
ance
pro
cess
es a
nd d
evel
op, u
se, a
nd e
valu
ate
prob
abili
ty m
odel
s T
arge
t #
Tar
get
Typ
e St
ate
Tar
get
Stud
ent F
rien
dly
Tar
get
Succ
ess
Cri
teri
a (I
f App
ropr
iate
) R
esou
rces
1 K
D
efin
e an
d de
scrib
e a
com
poun
d ev
ent
Def
ine
and
desc
ribe
a c
ompo
und
even
t
2 K
K
now
that
the
prob
abili
ty o
f a
com
poun
d ev
ent i
s th
e fr
actio
n of
out
com
es in
the
sam
ple
spac
e fo
r whi
ch th
e co
mpo
und
even
t occ
urs
I kno
w th
e pr
obab
ility
of a
com
poun
d ev
ent i
s th
e de
sire
d ou
tcom
es o
ver t
he p
ossi
ble
outc
omes
and
that
th
e co
mpo
und
even
t is
a fr
actio
n of
the
sam
ple
spac
e.
3 K
I can
det
erm
ine
the
prob
abili
ty o
f a c
ompo
und
even
t us
ing
the
sam
ple
spac
e.
This
mea
ns th
e #
of d
esire
d ou
tcom
e di
vide
d by
# o
f po
ssib
le o
utco
mes
.
4 K
Id
entif
y th
e ou
tcom
es in
the
sam
ple
spac
e fo
r an
ever
yday
ev
ent
I can
iden
tify
the
outc
omes
in a
sam
ple
spac
e.
5 K
D
efin
e si
mul
atio
n (T
he
imita
tion
of a
real
thin
g)
I can
def
ine
sim
ulat
ion.
6 R
D
esig
n an
d us
e a
sim
ulat
ion
Find
pro
babi
litie
s of
co
mpo
und
even
ts u
sing
I can
find
the
prob
abili
ty o
f com
poun
d ev
ents
usi
ng
orga
nize
d lis
ts, t
able
s, tr
ee d
iagr
ams,
etc
.
orga
nize
d lis
ts, t
able
s, tr
ee
diag
ram
s, e
tc. a
nd a
naly
ze
the
outc
omes
7
R
I c
an a
naly
ze th
e ou
tcom
es o
f com
poun
d ev
ents
.
8 R
C
hoos
e th
e ap
prop
riate
m
etho
d su
ch a
s or
gani
zed
lists
, tab
les
and
tree
diag
ram
s to
repr
esen
t sam
ple
spac
es
for c
ompo
und
even
ts
I can
det
erm
ine
the
mos
t app
ropr
iate
met
hod
to
repr
esen
t sam
ple
spac
es fo
r com
poun
d ev
ents
.
9 R
D
esig
n an
d us
e a
sim
ulat
ion
to g
ener
ate
freq
uenc
ies
for
com
poun
d ev
ents
I can
des
ign
and
use
a si
mul
atio
n to
gen
erat
e fr
eque
ncie
s fo
r com
poun
d ev
ents
.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics%
9 W
eeks
Gra
de.C
onte
nt.S
tand
ard
O
vera
ll St
anda
rd T
ype
1st
2
nd
3
rd
4
th
7.SP
.8b
K
R
S
P
D
omai
n St
anda
rd
Stat
istic
s an
d Pr
obab
ility
Fi
nd p
roba
bilit
ies
of c
ompo
und
even
ts u
sing
org
aniz
ed li
sts,
tabl
es, t
ree
diag
ram
s, a
nd s
imul
atio
ns.
b. R
epre
sent
sam
ple
spac
es fo
r com
poun
d ev
ents
usi
ng m
etho
ds s
uch
as
orga
nize
d lis
ts, t
able
s an
d tre
e di
agra
ms.
For
an
even
t des
crib
ed in
eve
ryda
y la
ngua
ge (e
.g. “
rolli
ng d
oubl
e si
xes”
), id
entif
y th
e ou
tcom
es in
the
sam
ple
spac
e w
hich
com
pose
the
even
t.
Clu
ster
In
vest
igat
e ch
ance
pro
cess
es a
nd d
evel
op, u
se, a
nd e
valu
ate
prob
abili
ty m
odel
s
Tar
get
# T
arge
t T
ype
Stat
e T
arge
t St
uden
t Fri
endl
y T
arge
t Su
cces
s C
rite
ria
(If A
ppro
pria
te)
Res
ourc
es
1 K
R
epre
sent
a s
ampl
e sp
ace
for
com
poun
d ev
ents
in a
var
iety
of
way
s (tr
ee d
iagr
am, l
ist,
tabl
e, e
tc)
I can
repr
esen
t the
sam
ple
spac
e of
com
poun
d ev
ents
us
ing
tree
diag
ram
s, li
sts,
tabl
es, e
tc.
2 K
Id
entif
y th
e ou
tcom
es in
the
sam
ple
spac
e w
hich
com
pose
th
e ev
ent u
sing
eve
ryda
y la
ngua
ge
I can
iden
tify
the
poss
ible
out
com
es u
sing
eve
ryda
y la
ngua
ge.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics%
9 W
eeks
Gra
de.C
onte
nt.S
tand
ard
O
vera
ll St
anda
rd T
ype
1st
2
nd
3
rd
4
th
7.SP
.8c
K
R
S
P
D
omai
n St
anda
rd
Stat
istic
s an
d Pr
obab
ility
Fi
nd p
roba
bilit
ies
of c
ompo
und
even
ts u
sing
org
aniz
ed li
sts,
tabl
es, t
ree
diag
ram
s, a
nd s
imul
atio
ns.
c. D
esig
n an
d us
e a
sim
ulat
ion
to g
ener
ate
freq
uenc
ies
for c
ompo
und
even
ts.
Clu
ster
In
vest
igat
e ch
ance
pro
cess
es a
nd d
evel
op, u
se, a
nd e
valu
ate
prob
abili
ty m
odel
s T
arge
t #
Tar
get
Typ
e St
ate
Tar
get
Stud
ent F
rien
dly
Tar
get
Succ
ess
Cri
teri
a (I
f App
ropr
iate
) R
esou
rces
1 K
U
se fr
eque
ncie
s fr
om
prob
abili
ty e
xper
imen
ts to
de
term
ine
the
likel
ihoo
d of
a
com
poun
d ev
ent
I can
use
dat
a fr
om e
xper
imen
ts to
det
erm
ine
the
likel
ihoo
d of
a c
ompo
und
even
t occ
urrin
g.
2 P
Des
ign
and
use
a pr
obab
ility
si
mul
atio
n to
gen
erat
e I c
an d
esig
n a
prob
abili
ty e
xper
imen
t.
3 I c
an c
arry
out
the
expe
rimen
t I d
esig
ned.
4 I c
an u
se th
e ex
perim
enta
l dat
a to
det
erm
ine
the
prob
abili
ty o
f a c
ompo
und
even
t.
M
ake
sens
e of
pr
oble
ms
and
pers
ever
e in
sol
ving
th
em.
Rea
son
abst
ract
ly
and
quan
titat
ivel
y.
Con
stru
ct v
iabl
e ar
gum
ents
and
cr
itiqu
e th
e re
ason
ing
of o
ther
s.
Mod
el w
ith
mat
hem
atic
s.
Use
app
ropr
iate
tool
s st
rate
gica
lly.
Atte
nd to
pre
cisi
on.
Look
for a
nd m
ake
use
of s
truct
ure.
Lo
ok fo
r and
exp
ress
re
gula
rity
in re
peat
ed
reas
onin
g.
Scott%County%Schools%
%7th %Grade%
Mathem
atics!