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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.

9 lessons
0 of 9 done
  1. Informal Argument: Area of a CircleUp next
  2. Limit Arguments for Circumference and PiNot started yet
  3. Area of Regular Polygons Using the ApothemYou are here
  4. Area of Regular Polygons Using Circumradius and InradiusNot started yet
  5. Area and Perimeter of Composite Figures with Circles and SectorsNot started yet
  6. Proportional Scaling Effects on Perimeter and AreaNot started yet
  7. Non-Proportional Dimensional Scaling in 2DNot started yet
  8. Proportional and Non-Proportional Scaling on Surface Area and VolumeNot started yet
  9. Proving Results Using Area and Volume Ratios of Similar FiguresNot started yet
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Learning standards covered

GlobalOGM.11.MEA.1Open Global Math Standards 2026™ · 10th Grade

Calculate perimeters, areas of regular polygons, circles, and composite 2D figures; apply informal dissection and limit arguments for circle and polygon formulas; analyze the effects of proportional and non-proportional dimensional scaling on perimeter, area, surface area, and volume.