Mrs. Olivera Geometry

Isabel Olivera, Jan 20, 2016

Table of Contents

  1. Cross Sections & Solids for FSA(7)
    1. Sections of Rectangular Prisms (Cuboids)
    2. Sections of Triangular Prisms
    3. Sections of Rectangular Pyramids
    4. Pyramid section
    5. Sections of Triangular Pyramids
    6. Sections of Cylinders
    7. Sections of Cones
    8. section of cone
    9. Sections of Spheres
    10. section of sphere
    11. Exploring Sections of Cubes
    12. cutting a sphere
  2. Nets
    1. Nets of the Cube
    2. 11 Nets of the Cube
    3. Net of Hexagonal Prism
    4. Net of a Cylinder
    5. Nets of Tetrahedron
    6. Net of a Cone
    7. Curved Surface Area of Cones (Combined Version)
    8. Octahedron and Boat
    9. Net of Dodecahedron
    10. Another Net of Dodecahedron
    11. Net of Icosahedron
  3. Volume
    1. tisect a cube
    2. opening a cube
    3. Volume of Spheres
  4. Other Favorite 3D Figures & Tasks
    1. 3D Problem Solving - Sphere resting inside of a Cone
    2. Dandelin's theorem
    3. Graphing Complex Solutions
    4. 3X3 System Possibilities
    5. Systems of Linear Equations 3X3's - Linear Combinations
    6. Is Penrose triangle possible?
    7. 7 Mutually Touching Cylinders
    8. Flight Simulator
    9. Projection of a Sphere - Central Projection
  5. Trig Collection
    1. Ferris Wheel Unit Circle
    2. Radians in Unit Circle
  6. Transformation of Function
    1. Absolute Value Function
    2. Quadratic in Vertex form with Key Features
    3. Square Root Function
    4. Rational Functions
    5. Exponential Functions
    6. Logarithmic Functions
  7. Surface Area & Volume
    1. Surface area of rectangular prisms
    2. Ratio of Volumes of Rectangular Prisms
    3. Volume and Surface Area of Box with Square Base
    4. Explore - Surface Area of Circles and Cubes
  8. Transformations
    1. Rotations
    2. Rotations
    3. Clockwise Rotation Exploration
    4. Counter-clockwise Rotation Exploration
    5. Scale Factor Right Triangle Exploration
    6. Reflections
    7. Exploring Translations

1.

Cross Sections & Solids for FSA(7)

Use these worksheets to gain experience with the cross sections and solids appearing on the 7th grade FSA

  • 1. Sections of Rectangular Prisms (Cuboids)
  • 2. Sections of Triangular Prisms
  • 3. Sections of Rectangular Pyramids
  • 4. Pyramid section
  • 5. Sections of Triangular Pyramids
  • 6. Sections of Cylinders
  • 7. Sections of Cones
  • 8. section of cone
  • 9. Sections of Spheres
  • 10. section of sphere
  • 11. Exploring Sections of Cubes
  • 12. cutting a sphere

1.1.

Sections of Rectangular Prisms (Cuboids)

Drag the blue points to see the different sections of the rectangular prism (cuboid).
Anthony Or. GeoGebra Institute of Hong Kong
– Anthony OR 柯志明

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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1.8.

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1.9.

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1.10.

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1.11.

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1.12.

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2.

Nets

  • 1. Nets of the Cube
  • 2. 11 Nets of the Cube
  • 3. Net of Hexagonal Prism
  • 4. Net of a Cylinder
  • 5. Nets of Tetrahedron
  • 6. Net of a Cone
  • 7. Curved Surface Area of Cones (Combined Version)
  • 8. Octahedron and Boat
  • 9. Net of Dodecahedron
  • 10. Another Net of Dodecahedron
  • 11. Net of Icosahedron

2.1.

Nets of the Cube

Anthony Or[br]GeoGebra Institute of Hong Kong.
– Anthony OR 柯志明

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2.3.

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2.4.

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2.5.

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2.6.

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2.7.

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2.8.

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2.9.

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2.10.

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2.11.

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3.

Volume

  • 1. tisect a cube
  • 2. opening a cube
  • 3. Volume of Spheres

3.1.

tisect a cube

This is another way of cutting a cube into congruent pyramids. This shows each pyramid is 1/3 of a cube.
– Arthur Lee

3.2.

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3.3.

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4.

Other Favorite 3D Figures & Tasks

  • 1. 3D Problem Solving - Sphere resting inside of a Cone
  • 2. Dandelin's theorem
  • 3. Graphing Complex Solutions
  • 4. 3X3 System Possibilities
  • 5. Systems of Linear Equations 3X3's - Linear Combinations
  • 6. Is Penrose triangle possible?
  • 7. 7 Mutually Touching Cylinders
  • 8. Flight Simulator
  • 9. Projection of a Sphere - Central Projection

4.1.

3D Problem Solving - Sphere resting inside of a Cone

– Duke

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4.3.

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4.4.

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4.5.

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4.6.

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4.7.

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4.8.

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4.9.

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5.

Trig Collection

  • 1. Ferris Wheel Unit Circle
  • 2. Radians in Unit Circle

5.1.

Ferris Wheel Unit Circle

Contact us at [url=mailto:ptierneyfife@edc.org]ptierneyfife@edc.org[/url] if this resource should be updated, or with questions or suggestions. We appreciate your help maintaining the quality of this resource.
– EDC in Maine

5.2.

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6.

Transformation of Function

  • 1. Absolute Value Function
  • 2. Quadratic in Vertex form with Key Features
  • 3. Square Root Function
  • 4. Rational Functions
  • 5. Exponential Functions
  • 6. Logarithmic Functions

6.1.

Absolute Value Function

Absolute Value Function
– Duke

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6.3.

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6.4.

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6.5.

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6.6.

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7.

Surface Area & Volume

  • 1. Surface area of rectangular prisms
  • 2. Ratio of Volumes of Rectangular Prisms
  • 3. Volume and Surface Area of Box with Square Base
  • 4. Explore - Surface Area of Circles and Cubes

7.1.

Surface area of rectangular prisms

View the net of a rectangular prism in order to understand how to find the surface area of the prism.
– lienad5, Duane Habecker

7.2.

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7.3.

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7.4.

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8.

Transformations

A collection of geometric transformations

  • 1. Rotations
  • 2. Rotations
  • 3. Clockwise Rotation Exploration
  • 4. Counter-clockwise Rotation Exploration
  • 5. Scale Factor Right Triangle Exploration
  • 6. Reflections
  • 7. Exploring Translations

8.1.

Rotations

– linfanca

8.2.

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8.3.

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8.4.

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8.5.

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8.6.

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8.7.

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Information