- 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…
- standard
Translate between the geometric description and the equation for a conic section
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Expressing Geometric Properties with Equations
(+) Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference…
- standard
Translate between the geometric description and the equation for a conic section
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Expressing Geometric Properties with Equations
Derive the equation of a parabola given a focus and directrix.