Grade Level/ Course (high School): Geometry Unit 4 Standard: G.GPE.4 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 on the circle centered at the origin and containing the point (0, 2). (1, √3) lies Domain: Expressing Geometric Properties With Cluster: Use coordinates to prove simple geometric theorems algebraically. Equations Quarter 1: Quarter 2: Quarter 3: Quarter 4: Recall previous understandings of ( coordinate geometry (including, but not limited to: distance, midpoint and slope formula, equation of a line, definitions of parallel and perpendicular lines, etc.) 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 on the (1, √3) lies circle centered at the origin and containing the point (0, 2). e.g., derive the equation of a line through 2 points using similar right triangles. From Appendix A: This unit has a close connection with the next unit. For example, a curriculum might merge G.GPE.1 and the unit 5 treatment of G.GPE.4 with the standards in this unit. Reasoning with triangles in this unit is limited to right triangles. Make sense of Reason abstractly and Construct viable Model with Use appropriate Attend to Look for and Look for and problems and quantitatively. arguments and mathematics. tools strategically. precision. make use of express regularity in persevere in solving critique the reasoning structure. repeated reasoning. them. of others.
Grade Level/ Course (high School): Geometry Unit 4 Standard: G.GPE.4 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, √3) lies on the circle centered at the origin and containing the point (0, 2). Domain: Expressing Geometric Properties With Equations Cluster: Use coordinates to prove simple geometric theorems algebraically. Quarter 1: Quarter 2: Quarter 3: Recall previous understandings of coordinate geometry (including, but not limited to: distance, midpoint and slope formula, equation of a line, definitions of parallel and perpendicular lines, etc.) 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, √3) lies on the circle centered at the origin and containing the point (0, 2). e.g., derive the equation of a line through 2 points using similar right triangles. From Appendix A: This unit has a close connection with the next unit. For example, a curriculum might merge G.GPE.1 and the unit 5 treatment of G.GPE.4 with the standards in this unit. Reasoning with triangles in this unit is limited to right triangles. Quarter 4: ( Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning.