1. Art and Diseño

 New York SState Com
mmon Core 3 GRADE Maathem
maticss Currriculu
um To
opic B GR
RADE 3 • MODU
ULE 2
M
Measu
uringg Weight aand LLiquiid Vo
olume
e in
n Metric U
Unitss 3.N
NBT.2, 3.MD
D.2 Foccus Standard: 3.NBT.2 Fluently add and subtracct within 1000 uusing strategies and algorithms based on place
value, prroperties of operations, and/or the relationshipp between addittion and subtraction. 3.MD.2
2 Measure
e and estimate liiquid volumes a nd masses of obbjects using stan
ndard units of grams (gg), kilograms (kg), and liters (l). Add, subtract, m
multiply, or divid
de to solve one‐‐
step worrd problems invo
olving masses o r volumes that aare given in the same units, e.g., by using drawings (such as a beaker witth a measuremeent scale) to represent the problem. Insttructional Days:: 6 Coh
herence ‐Links from: G2–M2
2 Addition and Subtraction of Length Unitts G2–M3
3 Place Value, Counting, and Comparison of Numbers to 1000 G3–M1
1 Propertie
es of Multiplicattion and Divisionn and Solving Prroblems with Un
nits of 2–5 and 110 G4–M2
2 Unit Con
nversions and Prroblem Solving w
with Metric Meaasurement ‐Links to: Lesssons 6 and 7 introduce students to mettric weight me
easured in killograms and ggrams. Studeents learn to use digittal scales as tthey explore tthese weightss. They begin
n by holding aa kilogram weeight to get a sense of its weigght. Then, grroups of stude
ents work witth scales to ad
dd rice to cle ar plastic zipp
pered bags until the bags reacch a weight off 1 kilogram. Once the bags reach thatt weight, studdents decomp
pose a kilograam using ten‐
fram
mes. They understand the quantity within 1 square of the ten‐fraame as an esttimation of 10
00 grams. Up
pon thatt square they overlay anotther ten‐frame, “zooming iin” to estimatte 10 grams. Overlaying o
once more leaads to 1 gram. Stude
ents relate the
e decomposittion of a kiloggram to placee value and th
he base ten syystem. Thro
oughout this ttwo‐day exploration, students reason aabout the sizee and weight of kilograms and grams in
n relation to one another witho
out moving intto the abstract world of coonversion. Th
hey perceive the relationsship ween kilogram
ms and gramss as analogou
us to a meter decomposedd into 100 cen
ntimeters. Th
hey build on betw
Grad
de 2 estimation skills with centimeters and meters ((2.MD.3) usinng metric weigght. Students use scales tto meaasure a varietty of objects aand learn to e
estimate new weights usinng knowledgee of previouslyy measured item
ms. Their worrk with estimaation in Topicc B lays a foun
ndation for roounding to esstimate in thee second half of the module. Topic B: Date: © 20144 Common Core, Inc. Som
me rights reserved. commo
oncore.org Measuring Weight and Liq
quid Volume in Meetric Units 10/24/14 Thiss work is licensed underr a Creeative Commons Attributtion‐NonCommercial‐Sh
hareAlike 3.0 Unported LLicense.
2.B.1
NY
YS COMMON C
CORE MATHEM
MATICS CURRIC
CULUM
To
opic B 3 2
In Leesson 8, students use scale
es to measure the weight of objects preecisely, and tthen use thosse meaasurements to
o solve one‐step word pro
oblems with liike units. Woord problems require students to add, subttract, multiplyy, and divide.. Students ap
pply estimatio
on skills from Lesson 7 to rreason about their solutions. In Leessons 9 and 10, students measure liqu
uid volume in liters using bbeakers and the vertical nu
umber line. TThis expeerience lendss itself to prevviewing the co
oncept and laanguage of roounding: Stud
dents might eestimate, for exam
mple, a given quantity as h
halfway betw
ween 1 and 2, or nearer to 2. Students u
use small con
ntainers to deco
ompose 1 lite
er and reason
n about its size
e. This lays a conceptual ffoundation fo
or Grade 4 wo
ork with milliiliters and the
e multiplicativve relationship of metric m
measurementt units (4.MD
D.1). In thesee lessons, stud
dents solve on
ne‐step word problems wiith like units u
using all four operations. Topic B culminates in solving o
one‐step worrd problems w
with like unitss. Lesson 11 presents stud
dents with miixed pracctice, requirin
ng students to
o add, subtracct, multiply, aand divide to find solutions to problems involving gram
ms, kilogramss, and liters. A TTeaching Seq
quence Towards Mastery o
of Measuringg Weight and
d Liquid Volum
me in Metric Units Ob
bjective 1: Build and deco
B
ompose a kilogram to reaason about th
he size and w
weight of 1 kilogram, 100 grams, 10
1
0 grams, and 1 gram. (LLesson 6) Ob
bjective 2: Develop estim
D
mation strateggies by reaso
oning about t he weight in kilograms off a series of fa
amiliar objects to establissh mental ben
nchmark meaasures. (LLesson 7) Ob
bjective 3: Solve one‐step
p word probllems involvin
ng metric weiights within 1100 and estim
mate to reaso
on about solution
ns. (LLesson 8) Ob
bjective 4: Decompose a D
liter to reaso
on about the size of 1 literr, 100 milliliteers, 10 milliliters, and 1 milliliter. 1
(LLesson 9) Ob
bjective 5: Estimate and measure liqu
uid volume in
n liters and m
milliliters usingg the verticall number linee.
(LLesson 10) Ob
bjective 6: Solve mixed w
word problem
ms involving aall four operaations with grrams, kilograms, liters, an
nd milliliters give
m
en in the same units. (LLesson 11) Topic B: Date: © 20144 Common Core, Inc. Som
me rights reserved. commo
oncore.org Measuring Weight and Liq
quid Volume in Meetric Units 10/24/14 Thiss work is licensed underr a Creeative Commons Attributtion‐NonCommercial‐Sh
hareAlike 3.0 Unported LLicense.
2.B.2