## 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

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.

Standards:

Favorites
(5)

Resources
(18)

Reflections
(1)

Big Idea:

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

Standards:

Favorites
(2)

Resources
(22)

Reflections
(1)

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.

Standards:

Favorites
(1)

Resources
(23)

### Intersection Derby

Geometry »
Unit: Dimension and Structure

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.

Standards:

Favorites
(1)

Resources
(26)

### Mission Impossible

Geometry »
Unit: Dimension and Structure

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?

Standards:

Favorites
(1)

Resources
(24)

Big Idea:

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

Standards:

Favorites
(6)

Resources
(25)

Reflections
(2)

### Previewing Dimension and Structure

Geometry »
Unit: 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.

Standards:

Favorites
(3)

Resources
(36)

Reflections
(3)

### Platonic Relationships

Geometry »
Unit: Dimension and Structure

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.

Standards:

Favorites
(1)

Resources
(39)

Reflections
(4)

### Reviewing Intersections

Geometry »
Unit: Dimension and Structure

Geometry »
Unit: Dimension and Structure

Big Idea:

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

Standards:

Favorites
(1)

Resources
(26)

Reflections
(2)

### Reviewing Structure

Geometry »
Unit: Dimension and Structure

Geometry »
Unit: Dimension and Structure

Big Idea:

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

Standards:

Favorites
(1)

Resources
(25)

Reflections
(1)

### Conic Sections Unit Test

12th Grade Math »
Unit: Conic Sections

12th Grade Math »
Unit: Conic Sections

Big Idea:

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

Standards:

Favorites
(2)

Resources
(4)

### The Sphere and the Cylinder (Part 2)

Geometry »
Unit: Volume of Cones, Pyramids, and Spheres

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!

Standards:

Favorites
(3)

Resources
(29)

### Conic Sections Test Review

12th Grade Math »
Unit: Conic Sections

12th Grade Math »
Unit: Conic Sections

Big Idea:

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

Standards:

Favorites
(2)

Resources
(4)

### Moon Shadows, Cones, and Pyramids

Geometry »
Unit: Volume of Cones, Pyramids, and Spheres

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.

Standards:

Favorites
(7)

Resources
(25)

### Choose Your Loot

Geometry »
Unit: Volume of Cones, Pyramids, and Spheres

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.

Standards:

Favorites
(1)

Resources
(18)

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HS Number & Quantity

HS Algebra

HS Functions

HS Geometry

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Second Grade

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Fifth Grade

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Ninth and Tenth Grade

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