Created on: March 31, 2015

Website Address: https://www.currikilibrary.org/oer/Unit-5--Circles-With-and-Without-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

- Cluster - Understand and apply theorems about circles.
- Cluster - Find arc lengths and areas of sectors of circles.
- Cluster - Translate between the geometric description and the equation for a conic section.
- Cluster - Use coordinates to prove simple geometric theorem algebraically
- Cluster - Apply geometric concepts in modeling situations.

IN COLLECTION

Contains the following Standard clusters

• Understand and apply theorems about circles.

• Find arc lengths and areas of sectors of circles.

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

• Use coordinates to prove simple geometric theorem algebraically.

• Apply geometric concepts in modeling situations

Understand and apply theorems about circles.

Note that by similarity of sectors with the same central angle, arc lengths are proportional to the radius. Use this as a basis for introducing radian as a unit of measure. It is not intended that it be applied to the development of circular trigonometry in this course.

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

Include simple proofs involving circles.

Focus on situations in which the analysis of circles is required.