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- HSG-C.A.1Prove that all circles are similar.
- HSG-C.A.2Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.
- HSG-C.A.3Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.
- HSG-C.A.4Construct a tangent line from a point outside a given circle to the circle.

HSG-C.A.2

Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

Arcs and Angles: Central and Inscribed Angles

Geometry

Â» Unit:

Discovering and Proving Circles Properties

Big Idea:By engaging in a Four Corners-Jigsaw Activity, students conjecture about inscribed angles and arcs in circles.

NPR Car Talk Problem - Day 1 of 2

12th Grade Math

Â» Unit:

Trigonometric Functions

Big Idea:This problem from NPR's Car Talk is engaging, challenging, and mathematically rich!

NPR Car Talk Problem - Day 2 of 2

12th Grade Math

Â» Unit:

Trigonometric Functions

Big Idea:This problem from NPR's Car Talk is engaging, challenging, and mathematically rich!

Foundational Circles Vocabulary and Chord Properties

Geometry

Â» Unit:

Discovering and Proving Circles Properties

Big Idea:Students will engage in a small group investigation in which they will distinguish between central and inscribed angles.

Circles Unit Assessment

Geometry

Â» Unit:

Discovering and Proving Circles Properties

Big Idea:Through a variety of assessment items, students will demonstrate their understanding of circles properties by using precise academic vocabulary, solving problems, and writing proofs.

Tangent Properties

Geometry

Â» Unit:

Discovering and Proving Circles Properties

Big Idea:Through construction, students will see that a tangent is perpendicular to the radius drawn to the point of tangency and that tangent segments to a point outside a circle are congruent.

Chord and Tangent Group Challenge

Geometry

Â» Unit:

Discovering and Proving Circles Properties

Big Idea:By working through a group challenge, students will solve chord and tangent problems and justify their reasoning.

Circles are Everywhere

Geometry

Â» Unit:

Circles

Big Idea:This lesson asks students to create real circles and then review key vocabulary connected with circles like diameter, radius, center, secant, tangent and center.

Inscribing Angles

Geometry

Â» Unit:

Circles

Big Idea:Students will use a folding paper activity to discover properties about inscribed angles and intercepted arcs.

1080 Stomps and Angles in Circles

Geometry

Â» Unit:

Circles

Big Idea:This lesson connects snowboarding with degrees in circles and also asks students to explore angles in circles using a hands-on folding activity.

Tricky Tangent and Secant Lines

Geometry

Â» Unit:

Circles

Big Idea:Prove ideas about secants and tangents using similar triangles.

Review: Arcs, Angles, Chords, Tangents, and Proof

Geometry

Â» Unit:

Discovering and Proving Circles Properties

Big Idea:In a kinesthetic menu activity, students will be able to choose from a variety of problems to work on to review for their upcoming Circles Assessment.

Applying Tricky Tangent and Secant Lines

Geometry

Â» Unit:

Circles

Big Idea:Students will actively apply theorems about tangent and secant lines to circle questions with scaffolded computer questions to review entire circles unit.

End of Year Assessment

Geometry

Â» Unit:

Final Assessment

Big Idea:This is a comprehensive assessment of all content learned to date.

Special Quadrilateral Clean Up

Geometry

Â» Unit:

Introducing Geometry

Big Idea:By looking at examples and non-examples of parts of circles, students will write their own definitions.

HSG-C.A.1

Prove that all circles are similar.

HSG-C.A.2

Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

HSG-C.A.3

Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.

HSG-C.A.4

Construct a tangent line from a point outside a given circle to the circle.