Unit 5 - Circles With and Without Coordinates
Created on: March 31, 2015
Website Address: https://www.currikilibrary.org/oer/Unit-5--Circles-With-and-Without-Coordinates
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TABLE OF CONTENTS
Geometry Aligned to CCSS-M Standards
- 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
Unit 5 - Circles With and Without Coordinates
- 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
Collection Contents
Cluster - Understand and apply theorems about circles.
by Allen WolmerUnderstand and apply theorems about circles.
Cluster - Find arc lengths and areas of sectors of circles.
by Allen WolmerNote 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.
Cluster - Apply geometric concepts in modeling situations.
by Allen WolmerFocus on situations in which the analysis of circles is required.
