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Arc Length or Sector Area?

Resource:
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.

All Resources From:
• Unit 7

#### Circles

Bicycle Wheel

Resource:
Bicycle Wheel

From the Illustrative Mathematics website, "the purpose of this task is to introduce radian measure for angles in a situation where it arises naturally."

All Resources From:
• Unit 7

#### Circles

Calculating Arcs and Areas of Sectors of Circles

Resource:
Calculating Arcs and Areas of Sectors of Circles

This lesson unit is intended to help you assess how well students are able to solve problems involving area and arc length of a sector of a circle using radians. It assumes familiarity with radians and should not be treated as an introduction to the topic. This lesson is intended to help you identify and assist students who have difficulties in:
Computing perimeters, areas, and arc lengths of sectors using formulas.
Finding the relationships between arc lengths, and areas of sectors after scaling.

Circles and Segments

Resource:
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.

All Resources From:
• Unit 7

#### Circles

Circles and Squares

Resource:
Circles and Squares

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

All Resources From:
• Unit 7

#### Circles

Defining Circles

Resource:
Defining Circles

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

All Resources From:
• Unit 7

#### Circles

Elmo's Microwave Travel

Resource:
Elmo's Microwave Travel

All Resources From:
• Unit 7

#### Circles

End of Unit Assessment (Geometry, Unit 7)

Geometry
###### Unit 7: Circles
Resource:
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.

All Resources From:
• Unit 7

#### Circles

Find the Center (Geometry)

Resource:
Find the Center (Geometry)

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

All Resources From:
• Unit 7

#### Circles

Find the Other Point (Geometry)

Resource:
Find the Other Point (Geometry)

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

All Resources From:
• Unit 7

#### Circles

Formulas Involving Arc Length

Resource:
Formulas Involving Arc Length

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

All Resources From:
• Unit 7

#### Circles

Inscribing and Circumscribing Right Triangles

Resource:
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.

All Resources From:
• Unit 7