G.GMD.A.2
Cavalieri's principle
Use Cavalieri's principle to give an informal argument for the formulas for volumes of solids.
Grade Level: High School · Domain: Geometry
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Geometry
- G.CO.A.1Precise definitions
- G.CO.A.2Transformations in the plane
- G.CO.A.3Symmetries of figures
- G.CO.A.4Define rigid motions
- G.CO.A.5Draw transformations
- G.CO.B.6Rigid motion congruence
- G.CO.B.7Triangle congruence criteria
- G.CO.B.8Explain congruence criteria
- G.CO.C.9Line and angle theorems
- G.CO.C.10Triangle theorems
- G.CO.C.11Parallelogram theorems
- G.CO.D.12Geometric constructions
- G.CO.D.13Inscribe polygons
- G.SRT.A.1Dilation properties
- G.SRT.A.2Understand similarity
- G.SRT.A.3Similarity criteria
- G.SRT.B.4Prove triangle proportions
- G.SRT.B.5Use similarity criteria
- G.SRT.C.6Define trig ratios
- G.SRT.C.7Complementary angles
- G.SRT.C.8Solve right triangles
- G.C.A.1Circle similarity
- G.C.A.2Circle relationships
- G.C.A.3Inscribed and circumscribed
- G.C.A.4Tangent lines
- G.C.B.5Arc length and sectors
- G.GPE.A.1Equation of a circle
- G.GPE.A.2Equation of a parabola
- G.GPE.A.3Ellipses and hyperbolas
- G.GPE.B.4Coordinate proofs
- G.GPE.B.5Parallel and perpendicular slopes
- G.GPE.B.6Partition segments
- G.GPE.B.7Coordinate area and perimeter
- G.GMD.A.1Explain volume formulas
- G.GMD.A.2Cavalieri's principle
- G.GMD.A.3Apply volume formulas
- G.GMD.B.4Identify cross sections
- G.MG.A.1Model with shapes
- G.MG.A.2Density concepts
- G.MG.A.3Geometric design