Eighth graders find the volume of cylinders, cones, and spheres using π — discovering the beautiful relationships between them, like a cone being exactly one-third of a cylinder.
Students will be able to…
A can, an ice-cream cone, and a ball — all round 3-D shapes. How much space does each hold, and how are their volume formulas connected?
Project this and switch between a cylinder, cone, and sphere. Change the radius and height, and watch the volume formula work!
Tap any phase to open the teacher moves and student actions.
A can, a cone, and a ball — how much does each hold?
Teacher models.
Class uses the Volume Explorer.
Students find volume.
One shape.
Aligned to the Common Core State Standards for Mathematics.
Know the formulas for the volumes of cones, cylinders, and spheres and use them.
Solve real-world problems involving volume.
Understand and apply geometric measurement.
Model 3-D objects with volume formulas.
Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.
Have students find the volume of a composite shape, like a cylinder topped with a cone (an ice-cream cone!). A printable volume sheet is in the Math library.
Tap a card to flip it, then rate whether you knew it. Built from this lesson’s vocabulary.
A quick self-check with instant feedback, drawn from this lesson’s key terms.
A print-and-go review sheet with a built-in answer key. Tap “Show answer key” to reveal answers, or print the clean version for students.