- standard
Visualize relationships between two-dimensional and three-dimensional objects
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Geometric Measurement and Dimension
Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimens…
- standard
Explain volume formulas and use them to solve problems
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Geometric Measurement and Dimension
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.*
- standard
Explain volume formulas and use them to solve problems
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Geometric Measurement and Dimension
(+) Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other…
- standard
Explain volume formulas and use them to solve problems
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Geometric Measurement and Dimension
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of…
- standard
Use coordinates to prove simple geometric theorems algebraically
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Expressing Geometric Properties with Equations
Use coordinates to prove simple geometric theorems algebraically. Use coordinates to compute perimeters of polygons and areas of triangles…
- standard
Use coordinates to prove simple geometric theorems algebraically
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Expressing Geometric Properties with Equations
Find the point on a directed line segment between two given points that partitions the segment in a given…
- standard
Use coordinates to prove simple geometric theorems algebraically
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Expressing Geometric Properties with Equations
Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the…
- standard
Use coordinates to prove simple geometric theorems algebraically
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Expressing Geometric Properties with Equations
Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four…