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TOPIC C: Volume Concepts
TOPIC C: Volume Concepts
Dear Family,
Your student is exploring the volume of right rectangular prisms. Volume is measured in cubic units such as cubic inches and cubic centimeters. Your student is using unit cubes to build right rectangular prisms and to find the volume. They are learning that although the prism’s layers can be broken apart in different ways, the total volume stays the same. Your student is also relating volumes of solids to liquid volumes. They know that volumes of solids and liquid volumes both indicate how much space the solid or liquid takes up. They discover 1 cubic centimeter has a volume of 1 milliliter.
NEW KEY TERMS
base: The base of a prism is one of the faces of the prism, often thought of as the surface on which the prism rests. (Lesson 16)
cubic centimeter: Cubic centimeters are a unit for measuring volume. 1 cubic centimeter of volume is defined as the volume of a cube with side lengths of 1 centimeter. (Lesson 17)
cubic inch: Cubic inches are a unit for measuring volume. 1 cubic inch of volume is defined as the volume of a cube with side lengths of 1 inch. (Lesson 17)
cubic unit: Cubic units are a unit for measuring volume. 1 cubic unit of volume is defined as the volume of a cube with side lengths of 1 unit. (Lesson 17)
right rectangular prism: A right rectangular prism is a solid where all the faces are rectangles. (Lesson 16)
unit cube: A unit cube is a cube with edges that each measure 1 unit. (Lesson 17)
volume: The volume of a solid is the amount of three-dimensional space it takes up. (Lesson 17)
AT HOME ACTIVITY
Rectangular Prisms Around Us
Rectangular Prisms Around Us
Observe items throughout the day and ask your student to point out rectangular prisms. Some
examples of rectangular prisms may include buildings, refrigerators, dressers, books, or boxes.
Talk to your student about the faces or sides on the prism and its edge lengths. Discuss how you
could cut the object into different layers to think about cubic units and volume.
Build Rectangular Prisms
Build Rectangular Prisms
Gather 20 to 30 blocks, paper cubes, dice, sugar cubes, or any other objects that are
cube-shaped and are the same size. Ask your student to build different rectangular prisms.
• “Build a rectangular prism that is 2 cubes long, 5 cubes wide, and 3 cubes high.”
• “Build two different rectangular prisms that each have a volume of 12 cubic units.”
Find a sample of our lessons below to help support MATH TALK at home.
Students also have these in their APPLY workbook.
Lesson16
Identify attributes and properties of right rectangular prisms.
I know that a three-dimensional figure has a height, is not flat, and does not lie in a plane. Right rectangular prisms have 6 rectangular faces, 12 edges, and 8 vertices. I can describe a right rectangular prism’s size by identifying its length, width, and height.
I can tile a unit square with squares that have unit-fraction side lengths. The area of each tile is 1 out of the total number of tiles it takes to cover the unit square.
EM2_G5_M5_TC_L16_PracticePartner.pdfEM2_G5_M5_TC_L16_PracticeSolutions.pdfLesson 17
Find the volume of right rectangular prisms by packing with unit cubes and counting.
I can find the volume of a right rectangular prism by packing it with unit cubes and counting the number of cubic units. I know that two prisms with different dimensions can have the same volume.
EM2_G5_M5_TC_L17_PracticePartner.pdfEM2_G5_M5_TC_L17_PracticeSolutions.pdfLesson 18
Find the volume of right rectangular prisms by packing with improvised units.
I can use right rectangular prisms to build a larger right rectangular prism. I can find the volume of the larger prism by multiplying the volume of a group of unit cubes by the number of groups.
EM2_G5_M5_TC_L18_PracticePartner.pdfEM2_G5_M5_TC_L18_PracticeSolutions.pdfLesson 19
Compose and decompose right rectangular prisms to find their volume by using layers.
I can decompose a right rectangular prism into layers. Then I can find the volume of the prism by multiplying the volume of each layer by the number of layers. There is more than one way to decompose the prism to make the layers.
EM2_G5_M5_TC_L19_PracticePartner.pdfEM2_G5_M5_TC_L19_PracticeSolutions.pdfLesson 20
Interpret volume as filling.
I know that every three-dimensional object has volume. I can find volume by packing a container with individual solids or filling it with liquid. The volume is the same whether the container is packed or filled.
EM2_G5_M5_TC_L20_PracticePartner.pdfEM2_G5_M5_TC_L20_PracticeSolutions.pdfLesson 21
Relate volumes of solids and liquid volume.
I know that volumes of solids and liquid volumes both indicate how much space the solid or liquid takes up. I know that 1 centimeter cube has a volume of 1 milliliter.
EM2_G5_M5_TC_L21_PracticePartner.pdfEM2_G5_M5_TC_L21_PracticeSolutions.pdfReport abuse