Mathematics Pacing Resource Document 6.GM.5 Standard: 6.GM.5: Find the volume of a right rectangular prism with fractional edge lengths using unit cubes of the appropriate unit fraction edge lengths (e.g., using technology or concrete materials), and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = lwh and V = Bh to find volumes of right rectangular prisms with fractional edge lengths to solve real-world and other mathematical problems. Teacher Background Information: Students learning Grade 6 mathematics standards build on their work with area in the previous grades by reasoning about relationships among shapes to determine area, surface area, and volume. They reason about right rectangular prisms with fractional side lengths to extend formulas for the volume of a right rectangular prism to fractional side lengths. Students often forget or confuse the formulas for area, surface area and volume. Exposing students to these concepts in a manner in which they understand the meaning behind the terms as the standards suggest will be important in fostering their conceptual development. Lesson Plans/Print Activities: Web-based Practice: https://www.engageny.org/resource/grade-6-mathematics-module-5topic-c-lesson-11 Students extend their understanding of the volume of a right rectangular prism with integer side lengths to right rectangular prisms with fractional side lengths. They apply the formula V = lwh to find the volume of a right rectangular prism and use the correct volume units when writing the answer. https://www.engageny.org/resource/grade-6-mathematics-module-5topic-c-lesson-12 Students extend the volume formula for a right rectangular prism to the formula V = Area of base times height. They understand that any face can be the base https://learnzillion.com/lesson_plans/220 Determine the volume of cubes with fractional edge lengths by using unit cubes with fractional edge lengths and/or formulas. https://learnzillion.com/lessonsets/73 Find volume of 3dimensional shapes https://learnzillion.com/lessonsets/285 Find the volume of a right rectangular prism with fractional edge lengths (2) https://www.khanacademy.org/math/basic-geo/basic-geo-volumesurface-area/basic-geo-volume/v/volume-of-a-rectangular-prismwith-fractional-cubes Volume of rectangular prism: with fractional cubes https://grade5aglcommoncoremath.wikispaces.hcpss.org/file/view/6.G.2 %20Boxing%20Bracelets%20Task%20Georgia.pdf/442108336/6.G.2%20Bo xing%20Bracelets%20Task%20Georgia.pdf Georgia DOE-Lesson Plan https://grade5aglcommoncoremath.wikispaces.hcpss.org/file/view/6.G.2 %20Packaging%20our%20Goods%20Task%20Georgia.pdf/442108370/6.G. 2%20Packaging%20our%20Goods%20Task%20Georgia.pdf Georgia Task http://www.learner.org/interactives/geometry/3d_prisms.html Learner virtual manipulative http://www.cpalms.org/Public/PreviewResource/Preview/47310 This lesson uses a discovery approach to exploring the meaning of volume. http://phet.colorado.edu/en/simulation/estimation Virtual Manipulative http://www.cpalms.org/Public/PreviewResource/Preview/72210 Volume Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document 6.GM.5 Standard: 6.GM.5: Find the volume of a right rectangular prism with fractional edge lengths using unit cubes of the appropriate unit fraction edge lengths (e.g., using technology or concrete materials), and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = lwh and V = Bh to find volumes of right rectangular prisms with fractional edge lengths to solve real-world and other mathematical problems. Item Bank: [louisianabelieves.com] Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document 6.GM.5 Standard: 6.GM.5: Find the volume of a right rectangular prism with fractional edge lengths using unit cubes of the appropriate unit fraction edge lengths (e.g., using technology or concrete materials), and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = lwh and V = Bh to find volumes of right rectangular prisms with fractional edge lengths to solve real-world and other mathematical problems. Item Bank: [louisianabelieves.com] Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document 6.GM.5 Standard: 6.GM.5: Find the volume of a right rectangular prism with fractional edge lengths using unit cubes of the appropriate unit fraction edge lengths (e.g., using technology or concrete materials), and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = lwh and V = Bh to find volumes of right rectangular prisms with fractional edge lengths to solve real-world and other mathematical problems. Item Bank: [louisianabelieves.com] Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document 6.GM.5 Standard: 6.GM.5: Find the volume of a right rectangular prism with fractional edge lengths using unit cubes of the appropriate unit fraction edge lengths (e.g., using technology or concrete materials), and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = lwh and V = Bh to find volumes of right rectangular prisms with fractional edge lengths to solve real-world and other mathematical problems. Item Bank: Leo's recipe for banana bread won't fit in his favorite pan. The batter fills the 8.5 inch by 11 inch by 1.75 inch pan to the very top, but when it bakes it spills over the side. He has another pan that is 9 inches by 9 inches by 3 inches, and from past experience he thinks he needs about an inch between the top of the batter and the rim of the pan. Should he use this pan? [illustrativemathematics.org] [PARCC practice test] Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document 6.GM.5 Standard: 6.GM.5: Find the volume of a right rectangular prism with fractional edge lengths using unit cubes of the appropriate unit fraction edge lengths (e.g., using technology or concrete materials), and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = lwh and V = Bh to find volumes of right rectangular prisms with fractional edge lengths to solve real-world and other mathematical problems. Item Bank: [PARCC practice test] Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document 6.GM.5 Standard: 6.GM.5: Find the volume of a right rectangular prism with fractional edge lengths using unit cubes of the appropriate unit fraction edge lengths (e.g., using technology or concrete materials), and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = lwh and V = Bh to find volumes of right rectangular prisms with fractional edge lengths to solve real-world and other mathematical problems. Item Bank: Georgia Dept. of Education tasks (begin on p. 26) http://www.sandi.net/cms/lib/CA01001235/Centricity/Domain/13262/CCGPS_Math_6_6thGrade_Unit5SE.pdf [www.engageny.org] [www.engageny.org] Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document 6.GM.5 Standard: 6.GM.5: Find the volume of a right rectangular prism with fractional edge lengths using unit cubes of the appropriate unit fraction edge lengths (e.g., using technology or concrete materials), and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = lwh and V = Bh to find volumes of right rectangular prisms with fractional edge lengths to solve real-world and other mathematical problems. Item Bank: Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document Readiness I Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document Readiness II Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document Readiness II Indianapolis Public Schools Curriculum and Instruction
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