Geo.6 Coordinate Geometry

This unit brings together students’ experience from previous years with their new understanding from this course for an in-depth study of coordinate geometry. Students encounter a new coordinate transformation notation such as $(x,y) \rightarrow (x+3, y+1)$, which connects transformations to functions. Then they use transformations and the Pythagorean Theorem to build equations of circles, parabolas, parallel lines, and perpendicular lines from definitions. Students apply these ideas to proofs, such as classifying quadrilaterals. Finally, students use weighted averages to partition segments, scale figures, and locate the intersection point of the medians of a triangle.