Part 3 - Underlying Mathematical Ideas Related to the Lesson - For Geometry (Essential Understandings)
{"Image DocumentName": "Part 3 - Underlying Mathematical Ideas Related to the Lesson - For Geometry (Essential Understandings)", "Image ImageDescription": "Coordinate Geometry can be used to form and test conjectures about geometric properties of lines, angles and assorted polygons. Coordinate Geometry can be used to prove geometric theorems by replacing specific coordinates with variables, thereby showing that a relationship remains true regardless of the coordinates. The set of points that are equidistant from two points A and B lie on the perpendicular bisector of line segment AB, because every point on the perpendicular bisector can be used to construct two triangles that are congruent by reflection and/or Side-Angle-Side; corresponding parts of congruent triangles are congruent. It is sometimes necessary to prove both If A, then B and If B, then A in order to fully prove a theorem; this situation is referred to as an if and only if situation; notations for such situations include <=> and iff. (SAY) When I was working with you I was watching and listening for your understanding of the content standards. When I heard essential understandings such as these related to the use of coordinate geometry, then I knew you understood the concept. Read just one of the bullets, bullet #3. Why do I need to know this level of detail about coordinate geometry in order to determine if you understand the structure behind the relationships?", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}