Public learning track
Advanced 2D Measurement, Dissections, and Dimensional Scaling
10th Grade · Math · Open Global Math
9 lessons
Goal
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.
Featured Diagrams
Informal Argument: Area of a Circle
9 lessons
0 of 9 done
- 1Informal Argument: Area of a CircleUp nextStart
- 2Limit Arguments for Circumference and PiPremiumNot started yet
- 3Area of Regular Polygons Using the ApothemNot started yet
- 4Area of Regular Polygons Using Circumradius and InradiusNot started yet
- 5Area and Perimeter of Composite Figures with Circles and SectorsNot started yet
- 6Proportional Scaling Effects on Perimeter and AreaNot started yet
- 7Non-Proportional Dimensional Scaling in 2DNot started yet
- 8Proportional and Non-Proportional Scaling on Surface Area and VolumeNot started yet
- 9Proving Results Using Area and Volume Ratios of Similar FiguresNot 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.