Math II · G-GMD.1

Explain circumference, area, and volume formulas using informal arguments such as dissection, Cavalieri, and limits.

Explain circumference, area, and volume formulas using informal arguments such as dissection, Cavalieri, and limits.

Concept Geometry
Domain Geometric Measurement and Dimension
Problem Types

Problem Templates In This Objective

8 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Use Cavalieri's principle to compare volumes

4 variants
Template 2

Choose the informal argument that supports a geometric formula

4 variants
Template 3

Connect the two circumference formulas

4 variants
Template 4

Recover circle area by rearranging sectors

4 variants
Template 5

Build prism and cylinder volume from congruent layers

4 variants
Template 6

Recover pyramid volume from a matched prism

4 variants
Template 7

Recover cone volume from a matched cylinder

4 variants
Template 8

Build volume by accumulating cross-sections

4 variants