- 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.
- 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 circle of given center and radius using the Pythagorean Theorem; complete the square to…
- standard
Find arc lengths and areas of sectors of circles
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Circles
Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the…
- standard
Understand and apply theorems about circles
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Circles
Construct a tangent line from a point outside a given circle to the circle.
- standard
Understand and apply theorems about circles
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Circles
Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in…
- standard
Understand and apply theorems about circles
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Circles
Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles;…
- standard
Understand and apply theorems about circles
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Circles
Prove that all circles are similar.