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Arc Length or Sector Area?

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Arc Length or Sector Area?

Connect what students know about area and circumference of circles to match to diagrams representing sector areas and arc lengths.

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Bicycle Wheel

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Bicycle Wheel

<style type="text/css"><!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> </style> From the Illustrative Mathematics website, "the purpose of this task is to introduce radian measure for angles in a situation where it arises naturally."

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Circles and Segments

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Circles and Segments

These four parts are designed to support students in making connections between chord, secant, and tangent line relationships in circles and creating proofs of these relationships using triangle similarity.

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Circles and Squares

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Circles and Squares

In this task, you must solve a problem about circles inscribed in squares.

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Defining Circles

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Defining Circles

This incomplete Core Resource supports students in making connections between the Pythagorean theorem and the equation of circles.

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Elmo's Microwave Travel

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Elmo's Microwave Travel

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End of Unit Assessment (Geometry, Unit 7)

Geometry & Algebra II Archive
Geo U6: Circles
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End of Unit Assessment (Geometry, Unit 7)

After this unit, how prepared are your students for the end-of-course Regents examination?  The end of unit assessment is designed to surface how students understand the mathematics in the unit.  It includes spiralled multiple choice and constructed response questions, comparable to those on the end-of-course Regents examination.  A rich task, that allows for multiple entry points and authentic assessment of student learning, may be available for some units and can be included as part of the end of unit assessment.  All elements of the end of unit assessment are aligned to the NYS Mathematics Learning Standards and PARCC Model Frameworks prioritization. 

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Find the Center (Geometry)

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Find the Center (Geometry)

Connect to what students know about the Pythagorean theorem and reading coordinates to find the center of a circle.

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Find the Other Point (Geometry)

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Find the Other Point (Geometry)

Use what students know about symmetry and coordinates to find a coordinate on a circle.

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Formulas Involving Arc Length

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Formulas Involving Arc Length

Connect visuals to arc length formulas involving the size of an angle.

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Inscribing and Circumscribing Right Triangles

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Inscribing and Circumscribing Right Triangles

A Classroom Challenge (aka formative assessment lesson) is a classroom-ready lesson that supports formative assessment. The lesson’s approach first allows students to demonstrate their prior understandings and abilities in employing the mathematical practices, and then involves students in resolving their own difficulties and misconceptions through structured discussion.

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Inscribing a Triangle in a Circle

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Inscribing a Triangle in a Circle

This problem introduces the circumcenter of a triangle and shows how it can be used to inscribe the triangle in a circle. It also shows that there cannot be more than one circumcenter. 

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