HSG-GPE.A.1

Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.

 
20 Lesson(s)
   

The Circle (Day 1 of 2)

12th Grade Math » Unit: Conics
12th Grade Math » Unit: Conics
Katharine Sparks
Independence, MO
Environment: Suburban
 
Big Idea:

What is the definition of a circle, really?

 
Favorites (6)
 
Resources (23)
 
Reflections (2)
circle
   

Wax Paper Activity (Day 1 of 2)

12th Grade Math » Unit: Conics
12th Grade Math » Unit: Conics
Katharine Sparks
Independence, MO
Environment: Suburban
 
Big Idea:

Through a poster students place wax paper designs made in previous lessons on a graph then determine the equation for the conic represented by the design.

 
Favorites (1)
 
Resources (25)
 
Reflections (4)
conic project
   

Wax Paper Activity (Day 2 of 2)

12th Grade Math » Unit: Conics
12th Grade Math » Unit: Conics
Katharine Sparks
Independence, MO
Environment: Suburban
 
Big Idea:

How can I put a conic on a coordinate plane so that an equation can be found?

 
Favorites (1)
 
Resources (22)
 
Reflections (4)
conics example
   

Circles and Completing the Square (Day 1 of 2)

12th Grade Math » Unit: Conic Sections
12th Grade Math » Unit: Conic Sections
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
Big Idea:

Use TRIANGLES and SQUARES to find the equation of a CIRCLE?! Students use prior knowledge of perfect squares and the Pythagorean Theorem to find equations for circles.

 
Favorites (5)
 
Resources (17)
circles revised image
   

Circles and Completing the Square (Day 2 of 2)

12th Grade Math » Unit: Conic Sections
12th Grade Math » Unit: Conic Sections
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
Big Idea:

Use TRIANGLES and SQUARES to find the equation of a CIRCLE?! Students use prior knowledge of perfect squares and the Pythagorean Theorem to find equations for circles.

 
Favorites (1)
 
Resources (14)
circles revised image
   

Circle Review Session and Portfolio Workshop

12th Grade Math » Unit: Circles
12th Grade Math » Unit: Circles
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

When students design their own review session and their own portfolios, you have time to work with each individual student to ensure that they get the most out of this learning opportunity.

 
Favorites (1)
 
Resources (6)
circle maze
   

Conic Sections Unit Test

12th Grade Math » Unit: Conic Sections
12th Grade Math » Unit: Conic Sections
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
Big Idea:

Students show their personal knowledge of graphing and writing equations for conic sections.

 
Favorites (2)
 
Resources (4)
exam
   

Conic Sections Test Review

12th Grade Math » Unit: Conic Sections
12th Grade Math » Unit: Conic Sections
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
Big Idea:

Students work together and ask questions as they prepare for tomorrow's unit test.

 
Favorites (2)
 
Resources (4)
copy of review image
   

Finding the Circle Formula

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

Students will think deeply and apply concepts relating to Pythagorean theorem to discover the formula for a circle.

Standards:
 
Favorites (3)
 
Resources (22)
 
Reflections (3)
finding the circle formula image
   

Circles on the Coordinate Plane

12th Grade Math » Unit: Trigonometry: Circles
12th Grade Math » Unit: Trigonometry: Circles
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

All students can tell you that “y=mx+b” or “a squared plus b squared equals c squared.” Build on that and teach them to graph a circle.

 
Favorites (34)
 
Resources (18)
circles on the plane li resized
   

Old and New Knowledge of Circles

12th Grade Math » Unit: Trigonometry: Circles
12th Grade Math » Unit: Trigonometry: Circles
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

Students explore the idea that pi and the trig ratios are really just the same shoes on different feet.

 
Resources (13)
definingpi
   

Problem Solving with Isosceles Triangles and Circles

12th Grade Math » Unit: Trigonometry: Circles
12th Grade Math » Unit: Trigonometry: Circles
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

We’ve seen some of the connections between triangles and circles – here, we lay the groundwork for more!

 
Resources (14)
isos tri and circle ps li
   

Manipulating Circles on Geogebra

12th Grade Math » Unit: Trigonometry: Circles
12th Grade Math » Unit: Trigonometry: Circles
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

Digital manipulates inspire confidence and excitement as students learn how the equation of circle affects its graph.

 
Resources (17)
manipulating circles ggb image resized
   

Loci and Analtyic Geometry

Geometry » Unit: Analytic Geometry
Geometry » Unit: Analytic Geometry
Anthony Carruthers
Pasadena, CA
Environment: Suburban
 
Big Idea:

Which came first, the algebra or the geometry? After this lesson, students will interplay between these two branches of mathematics.

 
Resources (14)
 
Reflections (2)
parabola diagram
   

Review of Circles Learning Targets

12th Grade Math » Unit: Trigonometry: Circles
12th Grade Math » Unit: Trigonometry: Circles
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

Students work together to review and synthesize their knowledge of circles.

 
Resources (10)
review and delta math
Common Core Math
 
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