HSG-GMD.B.4

Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.

 
28 Lesson(s)
   

Unto the 4th Dimension

Geometry » Unit: Dimension and Structure
Geometry » Unit: Dimension and Structure
Tom Chandler
Ault, CO
Environment: Rural
 
Big Idea:

Understanding precise definitions of geometric figures begins with the concept of dimension. This engaging re-telling of a classic tale gets us started.

 
Favorites (5)
 
Resources (18)
 
Reflections (1)
untothe4thdimension image crop and resize
   

Cutting Planes

Geometry » Unit: Dimension and Structure
Geometry » Unit: Dimension and Structure
Tom Chandler
Ault, CO
Environment: Rural
 
Big Idea:

Breaking down the cross-section of a solid: What is the intersection of the cutting plane with this edge? With this face?

 
Favorites (2)
 
Resources (22)
 
Reflections (1)
cuttingplanes image
   

New Directions

Geometry » Unit: Dimension and Structure
Geometry » Unit: Dimension and Structure
Tom Chandler
Ault, CO
Environment: Rural
 
Big Idea:

What are geometric figures made of? What is a plane? Students explore how shapes and dimensions can be generated by moving objects in different ways.

 
Favorites (1)
 
Resources (23)
newdirections image
   

Intersection Derby

Geometry » Unit: Dimension and Structure
Geometry » Unit: Dimension and Structure
Tom Chandler
Ault, CO
Environment: Rural
 
Big Idea:

Using physical models to investigate the meaning of an intersection, students see that it can be more than just a point.

 
Favorites (1)
 
Resources (26)
intersectionderby image
   

Mission Impossible

Geometry » Unit: Dimension and Structure
Geometry » Unit: Dimension and Structure
Tom Chandler
Ault, CO
Environment: Rural
 
Big Idea:

Your mission, should you choose to accept it: How many pieces of linguini can pass through two points at the same time?

 
Favorites (1)
 
Resources (24)
missionimpossible image
   

Cutting Conics

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

As an introduction to this unit, students actually cut cones to discover the four conic sections.

 
Favorites (6)
 
Resources (25)
 
Reflections (2)
cutting conics promoting converstaions
   

Previewing Dimension and Structure

Geometry » Unit: Dimension and Structure
Geometry » Unit: Dimension and Structure
Tom Chandler
Ault, CO
Environment: Rural
 
Big Idea:

Students learn what will be expected of them in this unit as they are encouraged to persevere in making sense of a pair of novel problems.

 
Favorites (3)
 
Resources (36)
 
Reflections (3)
dimensionandstructure previewandgoalsetting image
   

Platonic Relationships

Geometry » Unit: Dimension and Structure
Geometry » Unit: Dimension and Structure
Tom Chandler
Ault, CO
Environment: Rural
 
Big Idea:

Students analyze the structure of polyhedra and discover something unexpected that they have in common: f + v - e = 2.

 
Favorites (1)
 
Resources (39)
 
Reflections (4)
platonicrelationships image
   

Reviewing Intersections

Geometry » Unit: Dimension and Structure
Geometry » Unit: Dimension and Structure
Tom Chandler
Ault, CO
Environment: Rural
 
Big Idea:

Students review homework and complete their learning portfolios for the unit. How much have we learned?

 
Favorites (1)
 
Resources (26)
 
Reflections (2)
reviewingconstructions image
   

Reviewing Structure

Geometry » Unit: Dimension and Structure
Geometry » Unit: Dimension and Structure
Tom Chandler
Ault, CO
Environment: Rural
 
Big Idea:

Students review homework and assess their progress. How much have we learned?

 
Favorites (1)
 
Resources (25)
 
Reflections (1)
reviewingconstructions image
   

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
   

The Sphere and the Cylinder (Part 2)

Geometry » Unit: Volume of Cones, Pyramids, and Spheres
Geometry » Unit: Volume of Cones, Pyramids, and Spheres
Tom Chandler
Ault, CO
Environment: Rural
 
Big Idea:

Using Cavalieri’s Principle to relate the volumes of cylinders, hemispheres, and cones--Hemisphere plus cone equals cylinder!

 
Favorites (3)
 
Resources (29)
thesphereandthecylinder2 image
   

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
   

Moon Shadows, Cones, and Pyramids

Geometry » Unit: Volume of Cones, Pyramids, and Spheres
Geometry » Unit: Volume of Cones, Pyramids, and Spheres
Tom Chandler
Ault, CO
Environment: Rural
 
Big Idea:

Students learn about the properties of pyramids and cones as they analyze the geometry of a solar eclipse.

 
Favorites (7)
 
Resources (25)
moonshadows image
   

Choose Your Loot

Geometry » Unit: Volume of Cones, Pyramids, and Spheres
Geometry » Unit: Volume of Cones, Pyramids, and Spheres
Tom Chandler
Ault, CO
Environment: Rural
 
Big Idea:

Students are introduced to Cavalieri’s Principle as they compare the volumes of two heaps of treasure—one layer at a time.

 
Favorites (1)
 
Resources (18)
treasureroomb
Common Core Math
 
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