HSG-GPE.B.4

Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0, 2).

 
14 Lesson(s)
   
Geometry » Unit: Transformations
Beth Menzie
Amsterdam, NY
Environment: Urban
 
Big Idea:

Name that transformation! Students will work at identifying transformations performed upon geometric figures.

 
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Resources (22)
 
Reflections (2)
image name transformation
   

Tools of Geometry Unit Assessment

Geometry » Unit: Tools of Geometry
Geometry » Unit: Tools of Geometry
Beth Menzie
Amsterdam, NY
Environment: Urban
 
Big Idea:

Test time! Students take the first unit assessment, aligned to the Common Core standards for this unit.

 
Favorites (8)
 
Resources (13)
image2 test
   

Why are lines parallel?

Algebra I » Unit: Linear Functions
Algebra I » Unit: Linear Functions
Rhonda Leichliter
Rogers, AR
Environment: Rural
 
Big Idea:

The emphasis in this lesson is that students not only know the definition of parallel lines, but why lines are parallel.

 
Resources (9)
parallel lines
   

Coordinate Geometry Unit Review and Test

Geometry » Unit: Coordinate Geometry
Geometry » Unit: Coordinate Geometry
Beth Menzie
Amsterdam, NY
Environment: Urban
 
Big Idea:

Test time! Students review and then take the unit assessment, hopefully demonstrating their knowledge of coordinate geometry, as well as their ability to organize and justify their work.

 
Favorites (5)
 
Resources (14)
test taker
   

The Basics of Coordinate Geometry

Geometry » Unit: Coordinate Geometry
Geometry » Unit: Coordinate Geometry
Beth Menzie
Amsterdam, NY
Environment: Urban
 
Big Idea:

Moving Geometry onto the coordinate plane. Let's investigate midpoints, slope, and distance!

 
Favorites (9)
 
Resources (19)
image basics of coord
   

More Practice with Coordinate Geometry

Geometry » Unit: Coordinate Geometry
Geometry » Unit: Coordinate Geometry
Beth Menzie
Amsterdam, NY
Environment: Urban
 
Big Idea:

Students put their coordinate geometry knowledge to work, investigating characteristics of geometric figures and proving hypotheses.

 
Favorites (3)
 
Resources (9)
image more coord geometry dec 2013
   

Transformations Review

Geometry » Unit: Transformations
Geometry » Unit: Transformations
Beth Menzie
Amsterdam, NY
Environment: Urban
 
Big Idea:

Time for the unit review and pulling all of the concepts together!

 
Favorites (4)
 
Resources (24)
 
Reflections (3)
image 2 unit review
   

Exploring Our Concepts with Dynamic Geometry Software

Geometry » Unit: Coordinate Geometry
Geometry » Unit: Coordinate Geometry
Beth Menzie
Amsterdam, NY
Environment: Urban
 
Big Idea:

What is a strategic use of tools? Let's use dynamic software to deepen our students' understanding of coordinate geometry!

 
Favorites (3)
 
Resources (20)
 
Reflections (2)
image geogebra
   

End of Year Assessment

Geometry » Unit: Final Assessment
Geometry » Unit: Final Assessment
Marisa Laks
New York, NY
Environment: Urban
   
Geometry » Unit: Quadrilaterals
Anthony Carruthers
Pasadena, CA
Environment: Suburban
 
Big Idea:

Impostors beware! In this lesson students learn to distinguish the real parallelograms from the pretenders.

 
Favorites (1)
 
Resources (11)
 
Reflections (1)
approved
   

End of Year Alternate Assessment

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

In this lesson, students complete a performance task based on paintings by Vasily Kandinsky as an alternative to a final exam or an extra credit assignment.

 
Resources (5)
alternate assignment image resized
   

Trapezoids

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

What's PART backwards and the rest ezoid?...Okay maybe that's too easy...but this lesson on trapezoids is sure to provide a challenge or two.

 
Resources (12)
 
Reflections (1)
trap
   

End of Year Assessment Review Day 3 of 4

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

In this lesson, students practice problems involving concepts from the units on similarity, trigonometry and coordinate geometry.

 
Resources (11)
 
Reflections (1)
assessment review image
   

Making Conjectures about the Midsegments of a Triangle

Geometry » Unit: Developing Logic and Proof
Geometry » Unit: Developing Logic and Proof
Anthony Carruthers
Pasadena, CA
Environment: Suburban
 
Big Idea:

 
Favorites (1)
 
Resources (12)
triangle midsegment
Common Core Math
 
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