Learning Goal
Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
**5.MD.C.5**: Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.
a. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.
b. Apply the formulas V = l x w x h and V = b x h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.
c. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.
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5.MD.C.5: Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.
a. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.
b. Apply the formulas V = l x w x h and V = b x h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.
c. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.
What you'll learn
- Determine the volume of a right rectangular prism by counting unit cubes organized in layers and connect that count to the multiplication of edge lengths (length x width x height)
- Apply the formula V = l x w x h to find the volume of right rectangular prisms with whole-number edge lengths in both mathematical and real-world contexts
- Explain why V = l x w x h and V = B x h (where B is the area of the base) are equivalent formulas and describe what each variable represents, recognizing a volume as a threefold whole-number product whose factors can be regrouped without changing the result (the associative property of multiplication)
- Recognize that volume is additive -- the volume of a solid figure composed of two non-overlapping right rectangular prisms equals the sum of their individual volumes
- Decompose composite solid figures (L-shapes, T-shapes, stepped figures) into two non-overlapping right rectangular prisms, calculate each volume, and add them to find the total volume
Slides
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Volume formulas and composite figures
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