Created on: March 31, 2015

Website Address: https://www.currikilibrary.org/oer/Unit-4--Connecting-Algebra-and-Geometry-through-Coordinates

TABLE OF CONTENTS

- Unit 1 - Congruence, Proof, and Constructions
- Unit 2 - Similarity, Proof, and Trigonometry
- Unit 3 - Extending to Three Dimensions
- Unit 4 - Connecting Algebra and Geometry through Coordinates
- Unit 5 - Circles With and Without Coordinates
- Unit 6 - Applications of Probability

IN COLLECTION

Contains the following Standard Clusters

• Use coordinates to prove simple geometric theorems algebraically.

• Translate between the geometric description and the equation for a conic section.

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; e.g., derive the equation for a line through two points using similar right triangles. Relate work on parallel lines in G.GPE.5 to work on A.REI.5 in High School Algebra I involving systems of equations having no solution or infinitely many solutions. G.GPE.7 provides practice with the distance formula and its connection with the Pythagorean theorem.

The directrix should be parallel to a coordinate axis.