Lesson 8
Arcs and Sectors
Lesson Narrative
In this lesson, students investigate circle sectors. A sector is a region of a circle enclosed between 2 radii. Students look for and express regularity in repeated reasoning (MP8) as they make sector area and arc length calculations and use their findings to create a general method for finding sector areas and arc lengths.
Building intuition about arc length and fractions of circles will be helpful as students develop a definition of radian measure in an upcoming lesson.
Learning Goals
Teacher Facing
- Generalize (orally and in writing) methods for calculating lengths of arcs and areas of sectors in circles.
Student Facing
- Let’s analyze portions of circles.
Learning Targets
Student Facing
- I can calculate lengths of arcs and areas of sectors in circles.
CCSS Standards
Building On
Addressing
Building Towards
Glossary Entries
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sector
The region inside a circle lying between two radii of the circle.
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