Eureka Math Homework Helper 2015–2016 Grade 4

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Eureka Math Homework Helper2015–2016Grade 4Module 2Lessons 1–5Eureka Math, A Story of Units Published by the non-profit Great Minds.Copyright 2015 Great Minds. No part of this work may be reproduced, distributed, modified, sold, orcommercialized, in whole or in part, without consent of the copyright holder. Please see our User Agreement formore information. “Great Minds” and “Eureka Math” are registered trademarks of Great Minds.

20G4-M2-Lesson 11. Find the equivalent measures.a. 3 km 𝟑𝟑, 𝟎𝟎𝟎𝟎𝟎𝟎b. 4 m mI know that 1 kilometer equals 1,000 meters.𝟒𝟒𝟒𝟒𝟒𝟒cmI know that 1 meter equals 100 centimeters.2. Find the equivalent measures.a. 2 km 345 m 𝟐𝟐, 𝟑𝟑𝟑𝟑𝟑𝟑c. 12 km 45 m 𝟏𝟏𝟏𝟏, 𝟎𝟎𝟎𝟎𝟎𝟎b. 4 m 23 cm md. 24 m 3 cm mI know that 12 kilometers equals 12,000 meters,so I add 12,000 meters plus 45 meters.𝟒𝟒𝟒𝟒𝟒𝟒cm𝟐𝟐, 𝟒𝟒𝟒𝟒𝟒𝟒cmI know that 24 meters equals 2,400centimeters, so I add 2,400 meters plus 3centimeters.3. Solve.a. 3 m – 42 cmSample Student B Response: 23/910580/420/2Before subtracting, I makelike units. 3 meters is equalto 300 centimeters.Lesson 1: 2015 Great Minds eureka-math.orgG4-M2-HWH-1.3.0-09.2015cmcmcmI’ll use thearrow way toadd up. I addcentimetersand metersthat make thenext whole.𝐜𝐜𝟒𝟒𝟒𝟒 𝐜𝐜𝟓𝟓𝟓𝟓 𝐜𝐜𝐜𝐜 𝐜𝐜𝐜𝐜 𝟖𝟖 𝐜𝐜𝐜𝐜𝟑𝟑 𝐦𝐦 𝟑𝟑𝟑𝟑𝟑𝟑 𝐜𝐜𝐜𝐜𝟓𝟓𝟓𝟓Sample Student A Response:𝟏𝟏 𝐦𝐦 𝟐𝟐 𝐦𝐦𝟖𝟖 𝐜𝐜𝐜𝐜 𝟓𝟓𝟓𝟓 𝐜𝐜𝐜𝐜 𝟐𝟐 𝐦𝐦 𝟐𝟐 𝐦𝐦 𝟓𝟓𝟓𝟓 𝐜𝐜𝐜𝐜𝟑𝟑 𝐦𝐦I add 8 cm to makethe next ten, 50 cm. Iadd 50 cm to makethe next meter, and 1meter is 2 metersaway from 3 meters.Now I’ll add all the parts circled, finding 2meters 58 centimeters is the differenceof 3 meters and 42 centimeters.Express metric length measurements in terms of a smaller unit; model andsolve addition and subtraction word problems involving metric length.164 2-1A Story of Units15Homework Helper

3 228mm3m1654431cmcmcm14 cm is not enough to take away 63 cm, so Irename 1 meter as 100 cm to make 114 cm.c. 3 km 742 m 9 km 473 mSample Student A Response:39 1kmkm2km1𝟏𝟏 𝐤𝐤𝐤𝐤744712𝟏𝟏𝟏𝟏 𝐤𝐤𝐤𝐤 𝟐𝟐𝟐𝟐𝟐𝟐 𝐦𝐦1235𝟐𝟐𝟐𝟐𝟐𝟐 𝐦𝐦 𝟑𝟑 𝐜𝐜𝟖𝟖 𝐦𝐦 𝟔𝟔𝟔𝟔 𝐜𝐜𝐜𝐜𝟗𝟗 𝐦𝐦 𝟐𝟐 𝐦𝐦 𝟏𝟏 �23/Sample Student B Response:𝟑𝟑Sample Student A Response:𝟑𝟑𝟑𝟑 𝐦𝐦𝟑𝟑𝟑𝟑 𝐦𝐦 𝟏𝟏𝟏𝟏 𝐜𝐜𝐜𝐜𝟑𝟑𝟑𝟑 𝐜𝐜𝐜𝐜 𝟐𝟐𝟐𝟐 𝐦𝐦 𝟏𝟏𝟏𝟏 𝐜𝐜𝐜𝐜 𝟐𝟐𝟐𝟐 𝐦𝐦 𝟓𝟓𝟓𝟓 𝐜𝐜𝐜𝐜Using the arrow way, I’ll add up from 8 m 63 cmuntil I reach 32 m 14 cm. It’s almost like anumber line!Sample Student B Response:mmmI pull out 700m and 300 mto make 1 km.𝟕𝟕𝟕𝟕𝟕𝟕 𝐦𝐦 𝟒𝟒𝟒𝟒𝟒𝟒 𝐦𝐦𝟕𝟕𝟕𝟕𝟕𝟕 𝟒𝟒𝟒𝟒 𝟑𝟑𝟑𝟑𝟑𝟑 𝟏𝟏𝟏𝟏𝟏𝟏1,215 meterscan berenamed usinga numberbond as 1 km215 m.𝟕𝟕𝟕𝟕𝟕𝟕 𝐦𝐦 𝟑𝟑𝟑𝟑𝟑𝟑 𝐦𝐦 𝟏𝟏 𝐤𝐤𝐤𝐤I add theremainingmeters.𝟒𝟒𝟒𝟒 𝐦𝐦 𝟏𝟏𝟏𝟏𝟏𝟏 𝐦𝐦 𝟐𝟐𝟐𝟐𝟐𝟐 𝐦𝐦𝟑𝟑 𝐤𝐤𝐤𝐤 𝟗𝟗 𝐤𝐤𝐤𝐤 𝟏𝟏 𝐤𝐤𝐤𝐤 𝟏𝟏𝟏𝟏 𝐤𝐤𝐤𝐤𝟏𝟏𝟏𝟏 𝐤𝐤𝐤𝐤 𝟐𝟐𝟐𝟐𝟐𝟐 𝐦𝐦Use a tape diagram to model each problem. Solve using a simplifying strategy or an algorithm, and write youranswer as a statement.𝟒𝟒 𝐤𝐤𝟐𝟐𝟐𝟐𝐤𝐤𝐤𝐤4. Kya’s mom drove 4 km 231 m from work to the grocery store. She drove some more miles from thegrocery store to her house. If she drove a total of 8 km, how far was it from her work to her house?𝟐𝟐𝟖𝟖 𝐤𝐤𝐦𝐦𝑫𝑫Lesson 1: 2015 Great Minds eureka-math.orgG4-M2-HWH-1.3.0-09.2015 I rename 8 km as 7 km1000 m so that I havemeters to subtract from.78/43kmkm1km9090762310019mmmIt is 𝟑𝟑 𝐤𝐤𝐤𝐤 𝟕𝟕𝟕𝟕𝟕𝟕 𝐦𝐦 from her work to her house.Express metric length measurements in terms of a smaller unit; model andsolve addition and subtraction word problems involving metric length.26b. 32 m 14 cm 8 m 63 cm4 2-1A Story of Units1520Homework Helper

1. Complete the conversion table.2. Convert the measurements.Mass𝐤𝐤𝐤𝐤I know that 1kilogram equals1,000 grams.𝐠𝐠3𝟑𝟑, 𝟎𝟎𝟎𝟎𝟎𝟎𝟕𝟕7,000𝟓𝟓, ���𝐤G4-M2-Lesson 2a.4 kg 650 g𝟓𝟓𝟓𝟓 kg 𝟒𝟒𝟒𝟒 gb. 𝟒𝟒, 𝟔𝟔𝟔𝟔𝟔𝟔 g 51,045 gIn 51,945, there are 51 thousands 945 ones. 1thousand grams equals 1 kilogram, so 51 thousandgrams 945 grams equals 51 kilograms 945 grams.3. Solve.𝐠𝐠Sample Student A Response: 910/106,147/,0/80/6000gg𝟖𝟖𝟖𝟖6Sample Student B Response:g𝟖𝟖 𝟒𝟒𝟒𝟒 𝐠𝐠𝐠𝐠 𝟏𝟏𝐠𝐠 𝟔𝟔,𝟎𝟎𝟎𝟎𝟎𝟎𝟕𝟕 𝐤𝐤 𝟕𝟕,I make like units. 7 kilograms is equal to 7,000 grams.𝟏𝟏𝟏𝟏a. 7 kg 860 g𝟏𝟏, 𝟎𝟎𝟎𝟎𝟎𝟎 𝐠𝐠𝟗𝟗𝟗𝟗𝟗𝟗 𝐠𝐠𝐠𝐠𝟕𝟕, 𝟎𝟎𝟎𝟎𝟎𝟎 𝐠𝐠𝟒𝟒𝟒𝟒 𝐠𝐠 𝟏𝟏𝟏𝟏𝟏𝟏 𝐠𝐠 𝟔𝟔, 𝟎𝟎𝟎𝟎𝟎𝟎 𝐠𝐠 𝟔𝟔, 𝟏𝟏𝟏𝟏𝟏𝟏 𝐠𝐠Just like in Lesson 1, I add up using the arrow way.I subtract grams from grams.b. Express the answer in the smaller unit: 23 kg 625 g 526 g.Sample Student A Response: 223kg3kg𝟐𝟐𝟐𝟐 𝐤𝐤𝐤𝐤 𝟐𝟐𝟐𝟐, 𝟎𝟎𝟎𝟎𝟎𝟎 𝐠𝐠1651Sample Student B Response:2215561 2015 Great Minds eureka-math.orgG4-M2-HWH-1.3.0-09.2015gI add and then convertthe answer to grams.𝟐𝟐𝟐𝟐, 𝟎𝟎𝟎𝟎𝟎𝟎 𝐠𝐠 𝟏𝟏, 𝟏𝟏𝟏𝟏𝟏𝟏 𝐠𝐠 𝟐𝟐𝟐𝟐, 𝟏𝟏𝟏𝟏𝟏𝟏 𝐠𝐠Lesson 2:gg 223,14,6512215561gggI rename 23 kg 625 gramsas grams before adding.Express metric mass measurements in terms of a smaller unit; model andsolve addition and subtraction word problems involving metric mass.364 2-1A Story of Units1520Homework Helper

1kgkg5510146/4kg0/6413ggI convert grams to kilogramsbefore subtracting.𝟒𝟒𝟒𝟒𝐤𝐤 ��𝐠 𝐠𝐠gUse a tape diagram to model each problem. Solve using a simplifying strategy or an algorithm, and write youranswer as a statement.4. One crate of watermelon weighs 18 kilograms 685 grams. Another crate of watermelon weighs 17kilograms 435 grams. What is their combined weight?𝟔𝟔𝟔𝟔𝐠𝐠 11138 kg7 kg5 kg164𝟏𝟏, 𝟎𝟎𝟎𝟎𝟎𝟎 𝐠𝐠𝟏𝟏 𝐤𝐤𝐤𝐤I can leave my answer as 35 kg 1,120 g,but I choose to rename in largest units.1,120 g is equal to 1 kg 120 g.11𝟒𝟒𝟒𝟒𝐤𝐤𝐠𝐠 𝟏𝟏 𝐤𝐤 ��𝟒𝟏𝟏 𝐤𝐤 𝟒𝟒𝐤𝐤𝐠𝐠𝟏𝟏 𝐤𝐤𝐠𝐠 𝟔𝟔𝟏𝟏𝟏𝟏 𝐤𝐤 𝟔𝟔𝐤𝐤𝟏𝟏𝑾𝑾835512𝐠𝐠 𝑾𝑾0𝟏𝟏𝟏𝟏𝟏𝟏 𝐠𝐠ggg𝟑𝟑𝟑𝟑 𝐤𝐤𝐤𝐤 𝟏𝟏𝟏𝟏𝟏𝟏 𝐠𝐠The combined weight of the crates of watermelon is 𝟑𝟑𝟑𝟑 𝐤𝐤𝐤𝐤 𝟏𝟏𝟏𝟏𝟏𝟏 𝐠𝐠.Lesson 2: 2015 Great Minds eureka-math.orgG4-M2-HWH-1.3.0-09.2015Express metric mass measurements in terms of a smaller unit; model andsolve addition and subtraction word problems involving metric mass.46 83, 𝟒𝟒-1c. Express the answer in mixed units: 18 kg 604 g – 3,461 g.14 2A Story of Units1520Homework Helper

G4-M2-Lesson 31.Complete the conversion table.Liquid Capacity𝐋𝐋𝐦𝐦𝐦𝐦6There are 1,000milliliters in 1liter. The rule forconverting is thesame fromLesson 1 and 2.𝟔𝟔, 𝟎𝟎𝟎𝟎𝟎𝟎18𝟏𝟏𝟏𝟏, 𝟎𝟎𝟎𝟎𝟎𝟎𝟑𝟑𝟑𝟑2. Convert the measurements.32,000a.b.𝟐𝟐𝟐𝟐, 𝟎𝟎𝟎𝟎𝟎𝟎 mL 26 L 38 mL 𝟒𝟒𝟒𝟒𝟒𝟒 L 𝟗𝟗 mL427,009 mLI remember doing these conversions inLessons 1 and 2, just with different units.3. Solve.a.Express the answer in the smaller unit:32 L 420 mL 685 mL 32,133,46112800 mL5 mL5 mLBefore adding, I rename 32 L 420mL as milliliters since the answer isto be in the smaller unit.Lesson 3: 2015 Great Minds eureka-math.orgG4-M2-HWH-1.3.0-09.2015b. Express the answer in mixed units:62 L 608 mL 35 L 739 mL 56/111/266325LL01/L155/667890188/690389mLmLmLI can subtract mixed units as given, or I canrename the units to the smallest unit,subtract, and then rename as mixed units.Express metric capacity measurements in terms of a smaller unit; modeland solve addition and subtraction word problems involving metriccapacity.564 2-1A Story of Units1520Homework Helper

G4-M2-Lesson 41. Complete the table.Smaller UnitLarger UnitHow Many Times as Large as?tenthousand100I ask myself, “One thousand is 100 times as large as what unit?” I know 1thousand is 100 tens (1 100 tens). So, my smaller unit is ten.2. Fill in the unknown unit in word form.125 is 1hundred25 ones.I ask myself, “125 ones is the same as 1 ofwhat larger unit and 25 ones?”125 cm is 1meter25 cm.The units are centimeters. I can make alarger unit. 100 centimeters equals 1 meter.So, 1 meter 25 cm is the same as 125 cm.3. Write the unknown number.is 142 thousands 728 ones.𝟏𝟏𝟏𝟏𝟏𝟏, 𝟕𝟕𝟕𝟕𝟕𝟕I can decompose 142 thousands 728 intosmaller units. 142 thousands is the same as142,000 ones. So, 142 thousands 728 onesis 142,728.4. Fill in each with , , or .740,259 mL Lesson 4: 2015 Great Minds eureka-math.orgG4-M2-HWH-1.3.0-09.201574 L 249 mL𝟏𝟏𝟏𝟏𝟏𝟏, 𝟕𝟕𝟕𝟕𝟕𝟕mL is 142 L 728 mL.I know 1 liter equals 1,000 milliliters. So,142 liters equals 142,000 milliliters, and142 liters 728 milliliters equals142,728 milliliters.74 L 249 mL is the same as 74,249 mL. 74 ten thousandsis greater than 7 ten thousands.Know and relate metric units to place value units in order to express measurements in different units.664 2-1A Story of Units1520Homework Helper

12112,1278𝟏𝟏 ,gMikal’s weight, 𝟐𝟐𝟐𝟐𝟐𝟐 𝐠𝐠𝒃𝒃 ���88𝟒𝟒92𝒃𝒃𝐠𝐠 7,4,𝟗𝟗𝟗𝟗𝟗𝟗1𝟏𝟏𝟏𝟏 𝐤𝐤𝐤𝐤 𝟏𝟏, 𝟎𝟎𝟎𝟎𝟎𝟎 𝐠𝐠To find Mikal’s weight, I add.Mikal weighs 22,278 g.16,891567ggg𝒄𝒄𝐠𝐠,MikalI add to find thetotal weight., 𝟐𝟐𝟐𝟐𝟐𝟐 𝐠𝐠𝒄𝒄 𝟐𝟐𝟐𝟐, ���𝟐𝟐 2,4,𝟐𝟐𝟐𝟐2𝐠𝐠backpackAltogether Mikal and his backpack weigh 𝟐𝟐𝟐𝟐, 𝟓𝟓𝟓𝟓𝟓𝟓 𝐠𝐠 or 𝟐𝟐𝟐𝟐 𝐤𝐤𝐤𝐤 𝟓𝟓𝟓𝟓𝟓𝟓 𝐠𝐠.6. Place the following measurements on the number line:2 kg 92 gLesson 4: 2015 Great Minds �𝐠, 𝟎𝟎𝟑𝟑, 𝟎𝟎𝟎𝟎𝟎𝟎 ��𝐠, 𝟎𝟎𝟎𝟎𝟎𝟎 𝐠𝐠 , 𝟎𝟎𝟐𝟐𝟏𝟏𝟏𝟏, ��𝟏𝟏𝟏0g𝟐𝟐Each unit on the number line is 1,000 g.I label each tick mark.3,219 g𝐠𝐠100 g𝟒𝟒2,089 g𝟎𝟎𝟎𝟎1 kg 282 g, 𝟎𝟎𝟎𝟎𝟎𝟎 𝐠𝐠𝟑𝟑, 𝟐𝟐𝟐𝟐𝟐𝟐 𝐠𝐠I compare 2,092 and 2,089. 9 tens are more than 8tens. So, 2,092 is more than 2,089.Know and relate metric units to place value units in order to express measurements in different units.765. Mikal’s backpack weighs 4,289 grams. Mikal weighs 17 kilograms 989 grams more than his backpack.How much do Mikal and his backpack weigh in all?-14 2A Story of Units1520Homework Helper

G4-M2-Lesson 51. David weighs 46 kilograms 89 grams. Adam weighs 3,741 grams less than David. Joseph weighs 2,801grams less than Adam. How much does Joseph weigh?𝒂𝒂 𝟒𝟒𝟒𝟒, 𝟎𝟎𝟎𝟎𝟎𝟎 𝐠𝐠 𝟑𝟑, 𝟕𝟕𝟕𝟕𝟕𝟕 𝐠𝐠𝟒𝟒𝟒𝟒, 𝟎𝟎𝟎𝟎 𝐠𝐠𝒂𝒂 𝟒𝟒𝟒𝟒, 𝟑𝟑𝟑𝟑𝟑𝟑 𝐠𝐠𝟎𝟎David𝒂𝒂Adam𝟑𝟑, 𝟕𝟕𝟕𝟕𝟕𝟕 𝐠𝐠𝟐𝟐𝒋𝒋 𝟒𝟒𝟒𝟒, 𝟑𝟑𝟑𝟑𝟑𝟑 𝐠𝐠 𝟐𝟐, 𝟖𝟖𝟖𝟖𝟖𝟖 𝐠𝐠𝒋𝒋 𝟑𝟑𝟑𝟑, 𝟓𝟓𝟓𝟓𝟓𝟓 𝐠𝐠𝟖𝟖𝟖𝟖𝟖𝟖𝒋𝒋Joseph ,𝐠𝐠 45102,36/,3,0/7844918gggI don’t know Adam’s weight. I label thisunknown with letter 𝑎𝑎. I subtract to solve for 𝑎𝑎.3111/1339,54/42/,2,3/8404817ggNow that I know Adam’s weight, Isolve for 𝑗𝑗 (Joseph’s weight).gJoseph weighs 𝟑𝟑𝟑𝟑, 𝟓𝟓𝟓𝟓𝟓𝟓 grams.Lesson 5: 2015 Great Minds eureka-math.orgG4-M2-HWH-1.3.0-09.2015Use addition and subtraction to solve multi-step word problems involving length, mass, and capacity.864 2-1A Story of Units1520Homework Helper

Box ���𝟑𝑩𝑩Box B𝑪𝑪𝐠𝐠𝑩𝑩 𝟑𝟑𝟑𝟑, 𝟒𝟒𝟒𝟒𝟒𝟒 𝐠𝐠 𝟔𝟔, 𝟕𝟕𝟕𝟕𝟕𝟕 𝐠𝐠𝐠𝐠𝑩𝑩 𝟐𝟐𝟐𝟐, 𝟕𝟕𝟕𝟕𝟕𝟕 𝐠𝐠𝟒𝟒𝟒𝟒𝟒𝟒𝟑𝟑Box C𝟑𝟑 ,𝟒𝟒𝟒𝟒𝟒𝟒𝟑𝟑Box A𝟑𝟑 ,𝐠𝐠𝑫𝑫𝐠𝐠𝑫𝑫 𝟑𝟑𝟑𝟑, 𝟒𝟒𝟒𝟒𝟒𝟒 𝐠𝐠 𝟑𝟑𝟑𝟑, 𝟒𝟒𝟒𝟒𝟒𝟒 𝐠𝐠𝑫𝑫 𝟔𝟔, 𝟗𝟗𝟗𝟗𝟗𝟗 𝐠𝐠 2015 Great Minds 7,7744/7055990077000ggggggI know the weights of Boxes Aand C. I can subtract to find thedifference, 𝐷𝐷. 33The difference between the weights of Box C and Box A is 𝟔𝟔, 𝟗𝟗𝟗𝟗𝟗𝟗 𝐠𝐠.Lesson 5:2193 0,6, I know Box C weighs 13,757 grams more thanBox B. If Box B weighs 23,700 grams, I canadd to find “C”. Box C weighs 37,457 g.26133/156,967/,0,4/45/9707gggUse addition and subtraction to solve multi-step word problems involving length, mass, and capacity.962. Box A weighs 30 kilograms 490 grams. Box B weighs 6,790 grams less than Box A. Box C weighs 13kilograms 757 grams more than Box B. What is the difference, in grams, between the weights of Box Cand Box A?I know Box B weighs 6,790 grams less thanBox A. I label this part and subtract to solve𝟑𝟑 ,𝐠𝐠Box Afor “𝐵𝐵”. Box B weighs 23,700 g.-14 2A Story of Units1520Homework Helper

Grade 4 Module 2 Lessons 1–5 Eureka Math . A Story of Units 4 2 Lesson 1 : Express metric length measurements in terms of a smaller unit; . Know and relate metric units to place value units in order to express measurements in different units. G4-M2-HWH-1.3.0-09.2015. 2015-16

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10 9 8 7 6 5 4 3 2 1 Eureka Math Algebra II, Module 2 Student_A Contains copy-ready classwork and homework as well as templates (including cut outs) Published by the non-profit Great Minds. . This work is derived from Eureka Math and licensed by Great Minds. A STORY OF FUNCTIONS 2015 Great Minds. eureka- math.org. ALG II-M2-SE-1.3. .

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