Code | Grade | Cluster | Standard | Object Count |

G-GPE.1 |
High School - Geometry |
Translate between the geometric description and the equation for a conic section |
Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation. |
0 |

G-GPE.2 |
High School - Geometry |
Translate between the geometric description and the equation for a conic section |
Derive the equation of a parabola given a focus and directrix. |
0 |

G-GPE.3 |
High School - Geometry |
Translate between the geometric description and the equation for a conic section |
(+) Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant. |
0 |

G-GPE.4 |
High School - Geometry |
Use coordinates to prove simple geometric theorems algebraically |
Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, v3) lies on the circle centered at the origin and containing the point (0, 2). |
0 |

G-GPE.5 |
High School - Geometry |
Use coordinates to prove simple geometric theorems algebraically |
Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point). |
0 |

G-GPE.6 |
High School - Geometry |
Use coordinates to prove simple geometric theorems algebraically |
Find the point on a directed line segment between two given points that partitions the segment in a given ratio. |
0 |

G-GPE.7 |
High School - Geometry |
Use coordinates to prove simple geometric theorems algebraically |
Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula. |
0 |