Find the volume of a right rectangular prism with fractional edge lengths
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.
Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, 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 in the context of solving real-world and mathematical problems.
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Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, 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 in the context of solving real-world and mathematical problems.
What you'll learn
- Find the volume of a right rectangular prism with fractional edges by packing it with unit-fraction cubes (1/2-unit, 1/3-unit, 1/4-unit) and counting.
- Compute the total volume from a cube count by multiplying by the volume of one cube.
- Show, via algebraic regrouping, that packing-and-counting yields the same volume as multiplying the edge lengths.
- Apply V = lwh to right rectangular prisms with mixed-number or fractional edges.
- Apply V = Bh, computing B as the area of one base face, and confirm it gives the same answer as V = lwh.
- Solve real-world problems involving the volume of right rectangular prisms with fractional dimensions, including capacity, unit conversion, and fit problems.
Slides
Step through the lesson, or watch it as a narrated video • 2 slide decks
Packing and formula equivalence
✓ Start hereApplying formulas and real world
Practice
Try it on your own
Animated Videos
Short animated explanations of the key idea • 3 animated videos