Name:______________________________ 5th Grade Unit 2 Common Assessment 5.MD.5 1. Boxes of cookies are stacked in the pile as shown below. Select the two expressions for volume that could be used to find the total number of boxes. a. b. c. d. 2x2x5 2x3 3x5x2 6x5 2. 5.MD.4 Vanessa stacked snap cubes to form the shape shown below. How many snap cubes were used to create this shape? a. 24 snap cubes b. 15 snap cubes c. 27 snap cubes d. 12 snap cubes Joliet Public Schools District 86 | Common Assessment 2014-15, Grade 5, Unit 2 1 Name:______________________________ 3. 5.MD.3 The rectangular prism below was built in a video game. Antonio found the bottom layer of the rectangular prism to contain 24 blocks. So, he multiplied 24 x 4 to find the volume of the rectangular prism. Lourdes found the volume by multiplying 8 x 3 x 3. Antonio’s Solution: Lourdes’ Solution: 24 x 4 = 96 blocks 8 x 3 x 3 = 96 blocks Who correctly found the total volume of the rectangular prism? Defend your answer. Joliet Public Schools District 86 | Common Assessment 2014-15, Grade 5, Unit 2 2 Name:______________________________ 4. 5.MD.4 & 5.MD.5 The task of the video game requires the user to construct a building using the following rectangular prisms. The user can use as many rectangular prisms as they choose and stack any way. The only requirements are at least two different types of rectangular prisms must be used and the building must have a composite volume between 100 units3 and 150 units3. Bobby said that Prism B & Prism C meet the requirements. Ann said that Prism A, Prism C & Prism D meet the requirements. Whose building met the requirements? 5. 5.NBT.2 Marta made an error while finding the product of 84.15 × 10. Marta thinks she can add a zero to the end of her answer to solve the problem. If I just add a zero to the end of the problem the answer will be correct. 84.15 x 10 = 84.150 In your own words, explain Marta’s misunderstanding. Explain what she should do to get the correct answer and include the correct answer in your response. _______________________________________________________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ Joliet Public Schools District 86 | Common Assessment 2014-15, Grade 5, Unit 2 3 Name:______________________________ 6. 5.MD.3 Which unit is best to use when finding the volume of water in an Olympic-sized rectangular swimming pool? a. Cubic millimeters b. Cubic meters c. Square inches d. Miles 5.MD.5 7. If this box is packed with unit cubes without gaps or overlaps, which three expressions can be used to find the volume of the box? Circle the three correct expressions. a. 5 x 3 x 4 b. 12 x 5 c. 5 + 3 + 4 d. 12 + 12 + 12 + 12 e. 15 + 15 + 15 + 15 Joliet Public Schools District 86 | Common Assessment 2014-15, Grade 5, Unit 2 4 Name:______________________________ 8. 5. MD.3, 5.MD.4, 5.MD.5 The right rectangular prism represented below is partially filled with 1-inch cubes with no gaps and no overlaps. What is the volume of the prism and who solved the problem correctly? Jonathon Jonathon used the formula b x h to find the volume of the right rectangular prism. He says that 14 x 8 = 112 cubic units is the correct solution to the problem. Rebecca Rebecca used l x w x h to find the volume of the right rectangular prism. She says that 14 x 3 x 8 = 336 cubic units is the correct solution to the problem. Who is correct, Jonathon or Rebecca? Justify your response. Joliet Public Schools District 86 | Common Assessment 2014-15, Grade 5, Unit 2 5 Name:______________________________ 5.MD.5 9. Popcorn comes in three different sized boxes. 9a. Show 2 different strategies for finding the volume of Box A in the space provided below. Strategy #1 Strategy # 2 9b. To get the most popcorn, should you purchase box A, box B or box C? Use equations to justify. Joliet Public Schools District 86 | Common Assessment 2014-15, Grade 5, Unit 2 6 Name:______________________________ 5.MD.5 10. A cereal box has a height of 32 centimeters. It has a base with an area of 160 square centimeters. Show your work. What is the volume, in cubic centimeters of the cereal box? _______________ 11. Kipton's Scale 5.NBT.2 A. Kipton has a digital scale. He puts a marshmallow on the scale and it reads 7.2 grams. How much would you expect 10 marshmallows to weigh? How do you know? B. Kipton takes the marshmallows off the scale. He puts 10 jellybeans on the scale and it reads 12.0 grams. How much would you expect 1 jellybean to weigh? C. Kipton takes the jellybeans off the scale and puts on 10 brand-new pink erasers. The scale reads 312.4 grams. Kipton says that 1,000 pink erasers would weigh 3,124 grams? Is his answer reasonable? How do you know? A. B. C. Joliet Public Schools District 86 | Common Assessment 2014-15, Grade 5, Unit 2 7 Name:______________________________ 12. 5.MD.5 The volume of one section of a large box is 14 cubic feet. The other section of the same large box is 62 cubic feet. What is the total volume of the large box? a. 76 feet b. 868 feet c. 76 cubic feet d. 868 cubic feet 13. 5.MD.4 What is the volume of the figure below? _____________________________ Key: 14. = 1 cubic unit 5.MD.3 n cubes are needed to fill container A so it is equal to the volume of container B. ______ cubes need to be added to container A so it equals the volume of container B. Container A Container B Joliet Public Schools District 86 | Common Assessment 2014-15, Grade 5, Unit 2 8
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