Measurement Challenges and Concepts in Grade Five Mathematics
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Grade
Five
Module
3
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M
e
a
s
u
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m
e
n
t
C
h
a
l
l
e
n
g
e
s
Many
kinds
of
units
some
with
the
same
name
(ounces)
Two
systems
Metric
US
Customary
Measurements
are
approximations
Requires
lots
of
experiences
and
practices
2
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C
o
m
m
o
n
E
r
r
o
r
s
i
n
M
e
a
s
u
r
e
m
e
n
t
What
kinds
of
errors
to
children
make
when
measuring?
How
can
we
address
them?
3
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M
e
a
s
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m
e
n
t
C
o
m
p
o
n
e
n
t
s
Conservation
Transitivity
Partitioning
Unit
Iteration
Compensatory
Principle
4
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B
i
g
I
d
e
a
s
i
n
M
e
a
s
u
r
e
m
e
n
t
An
object
can
be
described
and
categorized
in
multiple
ways
(attributes)
The
measurement
of
a
specific
numerical
attribute
tells
the
number
of
units
5
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B
i
g
I
d
e
a
s
i
n
M
e
a
s
u
r
e
m
e
n
t
The
process
for
measurement
is
similar
for
all
attributes,
but
the
measurement
system
and
tool
vary
according
to
the
attribute
Measurements
are
accurate
to
the
extent
that
the
appropriate
unit/tool
is
used
properly
6
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A
c
c
u
r
a
c
y
a
n
d
P
r
e
c
i
s
i
o
n
What
is
the
difference
between
accuracy
and
precision
in
measurement?
7
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8
A
c
c
u
r
a
c
y
i
n
M
e
a
s
u
r
e
m
e
n
t
“The
accuracy
of
a
measure
is
how
correctly
a
measurement
has
been
made”
It
is
affected
by
The
person
doing
the
measurement
The
tool
being
used
From
Math
Matters
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P
r
e
c
i
s
i
o
n
i
n
M
e
a
s
u
r
e
m
e
n
t
“Precision
of
a
measurement
depends
on
the
size
of
the
smallest
measuring
unit.”
The
smaller
the
unit,
the
more
precise
the
measurement
9
From
Math
Matters
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P
r
o
c
e
s
s
o
f
M
e
a
s
u
r
e
m
e
n
t
Select
an
attribute
of
something
you
wish
to
measure
Choose
an
appropriate
unit
of
measurement
Determine
the
number
of
units,
usually
by
using
a
measurement
tool
10
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N
o
n
s
t
a
n
d
a
r
d
U
n
i
t
s
Why
is
it
important
for
children
to
have
multiple
experiences
with
nonstandard
units
?
11
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B
e
n
c
h
m
a
r
k
s
Why
are
benchmarks
important
for
children?
What
are
some
common
benchmarks
you
use
for
units
in
the
customary
system?
In
the
metric
system?
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L
e
n
g
t
h
B
e
n
c
h
m
a
r
k
s
Using
the
centimeter
cube,
find
and
record
objects
that
are
about
a
centimeter
in
length
Using
the
tens
rod,
find
and
record
objects
that
are
about
a
decimeter
Using
the
meter
stick,
find
objects
that
are
about
a
meter
13
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W
a
l
k
i
n
g
A
r
o
u
n
d
Read
“Walking
Around”
How
might
your
children
respond
to
this
problem?
14
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M
e
a
s
u
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m
e
n
t
S
c
a
v
e
n
g
e
r
H
u
n
t
You
and
your
teammates
will
have
___minutes
to
find
as
many
items
as
possible
on
your
checklist
Record
your
items
and
collect
them
for
checking
where
possible
15
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E
l
a
p
s
e
d
T
i
m
e
What
do
children
need
to
know
and
understand
in
order
to
be
successful?
What
makes
elapsed
time
challenging
for
children?
16
E
l
a
p
s
e
d
T
i
m
e
Examine
the
problems
below
Compare
them
and
discuss
challenges
of
each
John
began
his
chores
at
7:15
A.M.
and
worked
until
2:45
P.M.?
How
long
did
he
work?
April
started
her
chores
at
7:25
A.M.
and
worked
three
and
one
half
hours.
When
did
she
stop
working?
Karim
stopped
working
at
5:00
P.M.
He
He
has
worked
2
hours
and
45
minutes.
When
did
he
start?
.
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17
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g
T
r
a
c
k
i
n
g
T
i
m
e
Listen
for
your
assigned
group
Read
Discuss
to
determine
the
most
important
ideas
Present
to
the
large
group
Everyone
talks!
18
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T
e
m
p
e
r
a
t
u
r
e
Collect
temperature
using
an
Internet
site
Determine
the
difference
between
your
local
temperature
and
the
local
temperature
of
your
city
Graph
data
19
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F
a
r
e
w
e
l
l
t
o
F
i
f
t
h
G
r
a
d
e
…
Plan
an
imaginary
end-of-year
celebration
Food
Room
arrangement
Decorations
Fundraising
Celebration
time
Class
gift
20
Partners
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Y
o
u
r
T
a
s
k
…
Count
off
by
sixes
Work
on
the
first
assignment
--
keep
the
presentation
guidelines
in
mind
W
r
i
t
e
a
t
l
e
a
s
t
1
m
e
a
s
u
r
e
m
e
n
t
p
u
z
z
l
e
problem
to
present
Prepare
an
overview
of
the
third
assignment
21
F
e
e
d
i
n
g
1
2
0
C
h
i
l
d
r
e
n
Overview
Connections
to
Essential
Standards
Connections
to
Process
Standards
Concepts/skills
that
need
to
be
addressed
Teacher
role
Challenges
Computation
Related
ideas
Partners
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22
B
a
n
q
u
e
t
R
o
o
m
Overview
Connections
to
Essential
Standards
Connections
to
Process
Standards
Concepts/skills
that
need
to
be
addressed
Teacher
role
Challenges
Computation
Related
ideas
Partners
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23
T
i
l
i
n
g
t
h
e
F
l
o
o
r
Overview
Connections
to
Essential
Standards
Connections
to
Process
Standards
Concepts/skills
that
need
to
be
addressed
Teacher
role
Challenges
Computation
Related
ideas
Partners
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24
D
e
c
o
r
a
t
i
o
n
s
.
.
.
a
n
d
M
o
r
e
Overview
Connections
to
Essential
Standards
Connections
to
Process
Standards
Concepts/skills
that
need
to
be
addressed
Teacher
role
Challenges
Computation
Related
ideas
Partners
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25
F
i
s
h
p
o
n
d
Overview
Connections
to
Essential
Standards
Connections
to
Process
Standards
Concepts/skills
that
need
to
be
addressed
Teacher
role
Challenges
Computation
Related
ideas
Partners
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26
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F
i
s
h
p
o
n
d
2
Compare
this
to
Fishpond
one
What
are
the
advantages
and
disadvantages
of
each?
27
C
a
p
a
c
i
t
y
Overview
Connections
to
Essential
Standards
Connections
to
Process
Standards
Concepts/skills
that
need
to
be
addressed
Teacher
role
Challenges
Computation
Related
ideas
Partners
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28
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E
l
a
p
s
e
d
T
i
m
e
Overview
of
“Celebration
Day”
“Celebration
Game
Time”
What
other
experiences
could
you
use
in
the
classroom
to
provide
practice
with
elapsed
time?
29
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F
i
t
t
i
n
g
I
n
Will
everyone
fit
in
the
gym
for
an
assembly
program?
30
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B
u
y
i
n
g
C
a
r
p
e
t
Read
the
handout
Is
$3200.88
half?
31
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P
u
z
z
l
e
B
o
o
k
s
F
o
r
S
a
l
e
Write
a
math
puzzle
book
Include
illustrations
and
solutions
32
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Y
o
u
r
I
d
e
a
s
What
other
kinds
of
activities
or
problems
could
be
incorporated
into
the
theme?
33
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U
s
i
n
g
a
t
h
e
m
e
…
How
is
a
theme-based
unit
beneficial?
What
are
the
challenges
of
a
theme-based
unit?
34
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R
e
f
l
e
c
t
i
o
n
How
can
theme-based
units
help
you
meet
the
many
2009
essential
standards
for
grade
5?
In
what
ways
do
these
units
help
students
make
connections
among
mathematical
concepts
and
skills?
35
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D
P
I
M
a
t
h
e
m
a
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i
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s
S
t
a
f
f
Everly
Broadway,
Chief
Consultant
Renee
Cunningham
Kitty
Rutherford
Robin
Barbour
Mary
H.
Russell
Carmella
Fair
Johannah
Maynor
Amy
Smith
Partners
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Mathematics
Learning
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Mathematics-Science
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Sickles
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Tucker
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Turner
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Kathy
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Julie
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Kathy
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Grade
5
Module
3
Delve into a variety of measurement challenges in Grade Five mathematics, including different units, common errors, measurement components, big ideas, accuracy, precision, and the measurement process. Understand the nuances between accuracy and precision, factors affecting measurement accuracy, and the importance of precision in measurements. Explore the process of measurement and how to select appropriate units for determining the number of units.
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PARTNERS forMathematicsLearning GradeFive Module3 Partners forMathematicsLearning
2 MeasurementChallenges Manykindsofunits somewiththesamename(ounces) Twosystems Metric USCustomary Measurementsareapproximations Requireslotsofexperiencesandpractices Partners forMathematicsLearning
3 CommonErrorsinMeasurement Whatkindsoferrorstochildrenmake whenmeasuring? Howcanweaddressthem? Partners forMathematicsLearning
4 MeasurementComponents Conservation Transitivity Partitioning UnitIteration CompensatoryPrinciple Partners forMathematicsLearning
5 BigIdeasinMeasurement Anobjectcanbedescribedand categorizedinmultipleways(attributes) Themeasurementofaspecificnumerical attributetellsthenumberofunits Partners forMathematicsLearning
6 BigIdeasinMeasurement Theprocessformeasurementissimilarfor allattributes,butthemeasurementsystem andtoolvaryaccordingtotheattribute Measurementsareaccuratetotheextent thattheappropriateunit/toolisused properly Partners forMathematicsLearning
7 AccuracyandPrecision Whatisthedifferencebetweenaccuracy andprecisioninmeasurement? Partners forMathematicsLearning
8 AccuracyinMeasurement Theaccuracyofameasureishow correctlyameasurementhasbeenmade Itisaffectedby Thepersondoingthemeasurement Thetoolbeingused FromMathMatters Partners forMathematicsLearning
9 PrecisioninMeasurement Precisionofameasurementdependson thesizeofthesmallestmeasuringunit. Thesmallertheunit,themoreprecisethe measurement FromMathMatters Partners forMathematicsLearning
10 ProcessofMeasurement Selectanattributeofsomething youwishtomeasure Chooseanappropriateunit ofmeasurement Determinethenumberofunits,usuallyby usingameasurementtool Partners forMathematicsLearning
11 NonstandardUnits Whyisitimportantforchildrentohave multipleexperienceswithnonstandard units? Partners forMathematicsLearning
Benchmarks Whyarebenchmarksimportantfor children? Whataresomecommonbenchmarksyou useforunitsinthecustomarysystem?In themetricsystem? Partners forMathematicsLearning
13 LengthBenchmarks Usingthecentimetercube,findandrecord objectsthatareaboutacentimeterin length Usingthetensrod,findandrecordobjects thatareaboutadecimeter Usingthemeterstick,findobjectsthatare aboutameter Partners forMathematicsLearning
14 WalkingAround Read WalkingAround Howmightyourchildrenrespondtothis problem? Partners forMathematicsLearning
15 MeasurementScavengerHunt Youandyourteammateswillhave ___minutestofindasmanyitemsas possibleonyourchecklist Recordyouritemsandcollectthemfor checkingwherepossible Partners forMathematicsLearning
16 ElapsedTime Whatdochildrenneedtoknowand understandinordertobesuccessful? Whatmakeselapsedtime challengingforchildren? Partners forMathematicsLearning
17 ElapsedTime Examinetheproblemsbelow Comparethemanddiscusschallengesof each Johnbeganhischoresat7:15A.M.andworked until2:45P.M.?Howlongdidhework? Aprilstartedherchoresat7:25A.M.andworked threeandonehalfhours.Whendidshestop working? Karimstoppedworkingat5:00P.M.HeHehas worked2hoursand45minutes.Whendidhestart? . Partners forMathematicsLearning
18 TrackingTime Listenforyourassignedgroup Read Discusstodeterminethemostimportant ideas Presenttothelargegroup Everyonetalks! Partners forMathematicsLearning
19 Temperature Collecttemperatureusingan Internetsite Determinethedifferencebetweenyour localtemperatureandthelocal temperatureofyourcity Graphdata Partners forMathematicsLearning
20 FarewelltoFifthGrade Plananimaginaryend-of-yearcelebration Food Roomarrangement Decorations Fundraising Celebrationtime Classgift Partners forMathematicsLearning
21 YourTask Countoffbysixes Workonthefirstassignment--keepthe presentationguidelinesinmind Writeatleast1measurementpuzzle problemtopresent Prepareanoverviewofthethird assignment Partners forMathematicsLearning
22 Feeding120Children Overview ConnectionstoEssentialStandards ConnectionstoProcessStandards Concepts/skillsthatneedtobeaddressed Teacherrole Challenges Computation Relatedideas Partners forMathematicsLearning
23 BanquetRoom Overview ConnectionstoEssentialStandards ConnectionstoProcessStandards Concepts/skillsthatneedtobeaddressed Teacherrole Challenges Computation Relatedideas Partners forMathematicsLearning
24 TilingtheFloor Overview ConnectionstoEssentialStandards ConnectionstoProcessStandards Concepts/skillsthatneedtobeaddressed Teacherrole Challenges Computation Relatedideas Partners forMathematicsLearning
25 Decorations...andMore Overview ConnectionstoEssentialStandards ConnectionstoProcessStandards Concepts/skillsthatneedtobeaddressed Teacherrole Challenges Computation Relatedideas Partners forMathematicsLearning
26 Fishpond Overview ConnectionstoEssentialStandards ConnectionstoProcessStandards Concepts/skillsthatneedtobeaddressed Teacherrole Challenges Computation Relatedideas Partners forMathematicsLearning
27 Fishpond2 ComparethistoFishpondone Whataretheadvantagesand disadvantagesofeach? Partners forMathematicsLearning
28 Capacity Overview ConnectionstoEssentialStandards ConnectionstoProcessStandards Concepts/skillsthatneedtobeaddressed Teacherrole Challenges Computation Relatedideas Partners forMathematicsLearning
29 ElapsedTime Overviewof CelebrationDay CelebrationGameTime Whatotherexperiencescouldyouusein theclassroomtoprovidepracticewith elapsedtime? Partners forMathematicsLearning
30 FittingIn Willeveryonefitinthegymforan assemblyprogram? Partners forMathematicsLearning
31 BuyingCarpet Readthehandout Is$3200.88half? Partners forMathematicsLearning
32 PuzzleBooksForSale Writeamathpuzzlebook Includeillustrationsandsolutions Partners forMathematicsLearning
33 YourIdeas Whatotherkindsofactivitiesorproblems couldbeincorporatedintothetheme? Partners forMathematicsLearning
34 Usingatheme Howisatheme-based unitbeneficial? Whatarethechallengesofa theme-basedunit? Partners forMathematicsLearning
35 Reflection Howcantheme-basedunitshelpyoumeet themany2009essentialstandardsfor grade5? Inwhatwaysdotheseunitshelpstudents makeconnectionsamongmathematical conceptsandskills? Partners forMathematicsLearning
DPIMathematicsStaff EverlyBroadway,ChiefConsultant ReneeCunninghamKittyRutherford RobinBarbourMaryH.Russell CarmellaFairJohannahMaynor AmySmith PartnersforMathematicsLearningisaMathematics-Science PartnershipProjectfundedbytheNCDepartmentofPublicInstruction. Permissionisgrantedfortheuseofthesematerialsinprofessional developmentinNorthCarolinaPartnersschooldistricts. Partners forMathematicsLearning
PMLDisseminationConsultants SusanAllman JuliaCazin CaraGordon TeryGunter ShanaRunge YolandaSawyer BarbaraHardyPennyShockley KathyHarris JulieKolb ReneeMatney TinaMcSwain MarilynMichue AmandaNorthrup KayonnaPitchford RonPowell RuafikaCobb AnnaCorbett GailCotton JeanetteCox LeanneDaughtry LisaDavis RyanDougherty ShakilaFaqih PatriciaEssick DonnaGodley PatSickles NancyTeague MichelleTucker KanekaTurner BobVorbroker JanWessell DanielWicks CarolWilliams SusanRiddle JudithRucker StacyWozny Partners forMathematicsLearning
2009Writers PartnersStaff KathyHarris FredaBallard,Webmaster AnitaBowman,OutsideEvaluator AnaFloyd,Reviewer MeghanGriffith,AdministrativeAssistant TimHendrix,Co-PIandHigherEd BenKlein,HigherEducation KatieMawhinney,Co-PIandHigherEd WendyRich,Reviewer CatherineStein,HigherEducation RendyKing TeryGunter JudyRucker PennyShockley NancyTeague JanWessell StacyWozny AmandaBaucom JulieKolb PleasegiveappropriatecredittothePartners forMathematicsLearningprojectwhenusingthe materials. JeaneJoyner,Co-PIandProjectDirector Partners forMathematicsLearning
PARTNERS forMathematicsLearning Grade5 Module3 Partners forMathematicsLearning
