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Unto the 4th Dimension

Geometry

» Unit:

Dimension and Structure

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.

Cutting Planes

Geometry

» Unit:

Dimension and Structure

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

New Directions

Geometry

» Unit:

Dimension and Structure

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.

Intersection Derby

Geometry

» Unit:

Dimension and Structure

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

Mission Impossible

Geometry

» Unit:

Dimension and Structure

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

Cutting Conics

12th Grade Math

» Unit:

Conic Sections

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

Previewing Dimension and Structure

Geometry

» Unit:

Dimension and Structure

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.

Platonic Relationships

Geometry

» Unit:

Dimension and Structure

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

Reviewing Intersections

Geometry

» Unit:

Dimension and Structure

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

Reviewing Structure

Geometry

» Unit:

Dimension and Structure

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

Conic Sections Unit Test

12th Grade Math

» Unit:

Conic Sections

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

Conic Sections Test Review

12th Grade Math

» Unit:

Conic Sections

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

The Sphere and the Cylinder (Part 2)

Geometry

» Unit:

Volume of Cones, Pyramids, and Spheres

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

Moon Shadows, Cones, and Pyramids

Geometry

» Unit:

Volume of Cones, Pyramids, and Spheres

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

Choose Your Loot

Geometry

» Unit:

Volume of Cones, Pyramids, and Spheres

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

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.