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.

 
19 Lesson(s)
   

NPR Car Talk Problem - Day 1 of 2

12th Grade Math » Unit: Trigonometric Functions
12th Grade Math » Unit: Trigonometric Functions
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

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

 
Favorites (9)
 
Resources (19)
 
Reflections (2)
untitled
   

Arcs and Angles: Central and Inscribed Angles

Geometry » Unit: Discovering and Proving Circles Properties
Geometry » Unit: Discovering and Proving Circles Properties
Jessica Uy
Sunnyvale, CA
Environment: Suburban
 
Big Idea:

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

 
Favorites (10)
 
Resources (13)
 
Reflections (1)
group quiz sample
   

NPR Car Talk Problem - Day 2 of 2

12th Grade Math » Unit: Trigonometric Functions
12th Grade Math » Unit: Trigonometric Functions
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

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

 
Favorites (4)
 
Resources (9)
untitled
   

Foundational Circles Vocabulary and Chord Properties

Geometry » Unit: Discovering and Proving Circles Properties
Geometry » Unit: Discovering and Proving Circles Properties
Jessica Uy
Sunnyvale, CA
Environment: Suburban
 
Big Idea:

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

 
Favorites (10)
 
Resources (14)
 
Reflections (1)
defining angles whole class
   

Tangent Properties

Geometry » Unit: Discovering and Proving Circles Properties
Geometry » Unit: Discovering and Proving Circles Properties
Jessica Uy
Sunnyvale, CA
Environment: Suburban
 
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.

 
Favorites (3)
 
Resources (14)
tangent properties li reszed
   

Circles Unit Assessment

Geometry » Unit: Discovering and Proving Circles Properties
Geometry » Unit: Discovering and Proving Circles Properties
Jessica Uy
Sunnyvale, CA
Environment: Suburban
 
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.

 
Favorites (1)
 
Resources (12)
 
Reflections (2)
circles sample test
   

Chord and Tangent Group Challenge

Geometry » Unit: Discovering and Proving Circles Properties
Geometry » Unit: Discovering and Proving Circles Properties
Jessica Uy
Sunnyvale, CA
Environment: Suburban
 
Big Idea:

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

 
Favorites (1)
 
Resources (8)
 
Reflections (1)
group challenge
   

Circles are Everywhere

Geometry » Unit: Circles
Geometry » Unit: Circles
Stephanie Conklin
Saratoga Springs, NY
Environment: Suburban
 
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.

 
Favorites (29)
 
Resources (24)
 
Reflections (4)
circles abound for circles are everywhere lesson
   

1080 Stomps and Angles in Circles

Geometry » Unit: Circles
Geometry » Unit: Circles
Stephanie Conklin
Saratoga Springs, NY
Environment: Suburban
 
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.

Standards:
 
Favorites (5)
 
Resources (29)
 
Reflections (4)
snowboarding for 1080 stomps lesson
   

Inscribing Angles

Geometry » Unit: Circles
Geometry » Unit: Circles
Stephanie Conklin
Saratoga Springs, NY
Environment: Suburban
 
Big Idea:

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

 
Favorites (5)
 
Resources (20)
 
Reflections (1)
circles dripping for inscribing angles lesson
   

Tricky Tangent and Secant Lines

Geometry » Unit: Circles
Geometry » Unit: Circles
Stephanie Conklin
Saratoga Springs, NY
Environment: Suburban
 
Big Idea:

Prove ideas about secants and tangents using similar triangles.

Standards:
 
Favorites (1)
 
Resources (21)
 
Reflections (2)
disks for tricky tangents lesson
   

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

Geometry » Unit: Discovering and Proving Circles Properties
Geometry » Unit: Discovering and Proving Circles Properties
Jessica Uy
Sunnyvale, CA
Environment: Suburban
 
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.

 
Favorites (1)
 
Resources (11)
 
Reflections (1)
circles practice sample
   

Applying Tricky Tangent and Secant Lines

Geometry » Unit: Circles
Geometry » Unit: Circles
Stephanie Conklin
Saratoga Springs, NY
Environment: Suburban
 
Big Idea:

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

Standards:
 
Resources (19)
 
Reflections (1)
circles and lines image
   

End of Year Assessment

Geometry » Unit: Final Assessment
Geometry » Unit: Final Assessment
Marisa Laks
New York, NY
Environment: Urban
   

Special Quadrilateral Clean Up

Geometry » Unit: Introducing Geometry
Geometry » Unit: Introducing Geometry
Jessica Uy
Sunnyvale, CA
Environment: Suburban
 
Big Idea:

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

 
Favorites (2)
 
Resources (11)
 
Reflections (1)
quadrilateral family tree resized
Common Core Math
 
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