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Learning Goal
1 of 1 in this cluster
Know the formulas for the volumes of cones, cylinders, and spheres
Start lessonBegins with Cylinder and cone volume · Slides
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.
8.G.C.9
**8.G.C.9**: Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
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8.G.C.9: Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
What you'll learn
- State and apply the formula V = pir^2h to calculate the volume of a cylinder given its radius and height
- Explain why the volume of a cone is exactly one-third the volume of a cylinder with the same base and height, and apply V = (1/3)pir^2h to calculate cone volumes
- Apply the formula V = (4/3)pir^3 to calculate the volume of a sphere given its radius
- Select and apply the correct volume formula when solving real-world and mathematical problems involving cylinders, cones, and spheres
- Compare the volumes of different solids by analyzing how changes in radius or height affect the result, and solve problems that require relating the volumes of two or more shapes
Slides
Step through the lesson, or watch it as a narrated video • 2 slide decks
1
Cylinder and cone volume
✓ Start here2
Sphere and mixed problems
Practice
Try it on your own • 2 practice sets
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