Common Core Math - HS Geometry
Lesson Plan
Explain circle area and volume formulas
Goals / Objectives
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
Standards
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.
Academic Vocabulary
Not in our source material
Remediation
This lesson’s brief has no prerequisite standards
Enrichment
Accommodations
Not in our source material