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Unit 7:

Circles

How do circles define the relationships among segments, angles, and arcs?
4 weeks

Unit seven is about circles. Students extend their thinking about the Pythagorean theorem and coordinate distance to write the equation of a circle given the center and radius, and graph a circle given its equation. Students examine how central, inscribed, and circumscribed angles relate to chords, radii, and arcs of the circles. The idea of radian measure is introduced through the idea that all circles are similar. Throughout the unit, students use constructions to make visual sense of the parts of a circle (e.g., radius, chords, etc.) and use relationships to solve problems. This unit is a nice culmination of the year and can be used to review concepts from units 1 through 6 as they are related to circle relationships.

Essential Questions:

  • How can we model real life situations?
  • How can we use multiple representations to make sense of the world?
  • How do we measure change?
Printable Unit Plan
  • Geometry Unit Plan for Unit 7
    Resource:
    Geometry Unit Plan for Unit 7

    This is a printable version of the entire unit plan. You can make a copy of it and edit it or download and print it as needed.

Unit Outline

7 Components

Every unit begins with an Initial Task and ends with a Balanced Assessment, both focusing on core mathematics of the unit. The core mathematics is developed through a series of resources around Big Ideas; as you move through the unit, keep students focused on how these ideas are connected and how they address mathematical problem solving. Before attempting the Balanced Assessment, students have an opportunity to synthesize their knowledge through a multi-day Formative Assessment Lesson and teacher-designed re-engagement lessons.

Initial Task See 1 itemHide 1 item

Formative Assessment Lesson See 1 itemHide 1 item

Re-engagement See 1 itemHide 1 item

Balanced Assessment See 1 itemHide 1 item