Explain circle area and volume formulas

Start lessonBegins with Informal arguments for volume and area formulas · Slides

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Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
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Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

HSG.GMD.A.1

**HSG.GMD.A.1**: Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri's principle, and informal limit arguments.

HSG.GMD.A.1: Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri's principle, and informal limit arguments.

What you'll learn

Give an informal argument for why the circumference formula C = 2pir is reasonable using approximation by polygons
Give an informal argument for why the area formula A = pir^2 is reasonable using dissection or limit arguments
Give an informal argument for why the volume formula V = pir^2h for a cylinder is reasonable
Give an informal argument for why the volume formula V = (1/3)Bh for a pyramid is reasonable using Cavalieri's principle or dissection
Give an informal argument for why the volume formula V = (1/3)pir^2h for a cone is reasonable
Explain the difference between an informal argument (plausibility reasoning) and a formal proof

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Informal arguments for volume and area formulas

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