Public learning track
Cross-Sections, Solids of Revolution, and Geometric Modeling
10th Grade · Math · Open Global Math
10 lessons
Goal
Identify 2D slices and rotational solids, use geometric modeling to optimize physical designs under constraints, and solve density problems.
Featured Diagrams
Cross-Sections of Prisms and Cylinders
10 lessons
0 of 10 done
- 1Cross-Sections of Prisms and CylindersUp nextStart
- 2Cross-Sections of Pyramids and ConesPremiumNot started yet
- 3Cross-Sections of SpheresNot started yet
- 4Solids Generated by Rotating Two-Dimensional FiguresNot started yet
- 5Calculating Volume and Surface Area of Solids of RevolutionNot started yet
- 6Modeling Real-World Objects with Geometric SolidsNot started yet
- 7Area Density and Population Distribution ModelsNot started yet
- 8Volume Density, Mass, and Buoyancy ProblemsNot started yet
- 9Geometric Optimization Under Physical and Cost ConstraintsNot started yet
- 10Design Problems: Satisfying Physical ConstraintsNot started yet
Curriculum Framework
10th Grade · Math · Open Global Math
1
9 lessons
Advanced 2D Measurement, Dissections, and Dimensional Scaling
Derive polygon and circle formulas through informal dissection and limit arguments, compute measures of complex composite figures, and analyze proportional and non-proportional dimensional scaling.
2
8 lessons
Solid Geometry, Cavalieri's Principle, and Volume Justifications
Calculate lateral and total surface area and volume of standard and composite solids, justifying formulas through dissection and Cavalieri's principle.
3
10 lessons
Cross-Sections, Solids of Revolution, and Geometric Modeling
Identify 2D slices and rotational solids, use geometric modeling to optimize physical designs under constraints, and solve density problems.