TABLE OF CONTENTS

Algebra Collection A

Geometry Aligned to CCSS-M Standards

Unit 5 - Circles With and Without Coordinates

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


Understand and apply theorems about circles.
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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.
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Translate between the geometric description and the equation for a conic section.
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Include simple proofs involving circles.
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Focus on situations in which the analysis of circles is required.
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