Title | Description | Thumbnail Image | Curriculum Topics |
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## Circular Structures |
In this lesson students will use their basic understanding of circles to learn how circular structures are built. The example shown is that of the Roman Colosseum. Students will construct an oval shape from circular arcs to simulate the elliptical shape of the Roman Colosseum. For this lesson make sure that students have ready access to a compass, ruler, grid paper (graph paper with x-y axes marked is preferred), and pencil with an eraser. The first construction has students creating a teardrop shape from circular arcs that have overlapping points of tangency. This first construction sets up the more elaborate second construction. Students then look at a real-world application of using circular arcs to approximate the elliptical shape of the Roman Colosseum in a highly engaging video. Students analyze the architecture of the Roman Colosseum and are then shown how to build a scale model of the interior of the Colosseum. This lesson can be assigned to individual students or teams of students. The lesson can be completed in about 20 to 25 minutes. |
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## Closed Captioned Video: Geometry Applications: Circles |
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In this program we explore the properties of circles. We do this in the context of two real-world applications. In the first, we look at the design of the Roman Coliseum and explore how circular shapes could have been used to design this elliptical structure. In the second application we look at the Roman Pantheon, specifically its spherical dome, to see how the properties of chords and secants help clarify its unique design. A Video Transcript is available for this tutorial at this Note: The download is Media4Math's guide to closed captioned videos. ## Other Closed Captioned Videos## To see the complete collection of Closed Captioned Videos, click on this
Link |
Applications of Circles, Definition of a Circle | |

## Closed Captioned Video: Geometry Applications: Circles, Segment 1: The Basics of Circles. |
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We visit Chaco Canyon in New Mexico to explore the circular kivas and in the process discover how circular buildings have been used to study the heavens. A Video Transcript is available for this tutorial at this Note: The download is Media4Math's guide to closed captioned videos. ## Other Closed Captioned Videos## To see the complete collection of Closed Captioned Videos, click on this
Link |
Applications of Circles, Definition of a Circle | |

## Closed Captioned Video: Geometry Applications: Circles, Segment 2: Circles and Arcs. |
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The Roman Coliseum is a large elliptical structure. Yet, the Romans likely used circular arcs to build it. This segment explores the properties of circles and shows how arcs can be used to create elliptical shapes. A Video Transcript is available for this tutorial at this Note: The download is Media4Math's guide to closed captioned videos. ## Other Closed Captioned Videos## To see the complete collection of Closed Captioned Videos, click on this
Link |
Applications of Circles, Definition of a Circle | |

## Closed Captioned Video: Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles |
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The Roman Pantheon is a domed structure that shows a keen awareness of the position of the sun throughout the year. The source of light from the top of the dome allows for the exploration of chords, inscribed angles, central angles, and intercepted arcs. A Video Transcript is available for this tutorial at this Note: The download is Media4Math's guide to closed captioned videos. ## Other Closed Captioned Videos## To see the complete collection of Closed Captioned Videos, click on this Link |
Applications of Circles, Definition of a Circle | |

## Closed Captioned Video: TI-Nspire Mini-Tutorial: Circumscribing a Circle about a Triangle |
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In this TI Nspire tutorial, the Geometry window is used to circumscribe a circle about a triangle. This video supports the TI-Nspire Clickpad and Touchpad. This video includes a Worksheet: https://www.media4math.com/library/worksheet-ti-nspire-mini-tutorial-circumscribing-circle-about-triangle A Video Transcript is available for this tutorial at this Note: The download is Media4Math's guide to closed captioned videos. ## Other Closed Captioned Videos## To see the complete collection of Closed Captioned Videos, click on this
Link. |
Geometric Constructions with Triangles | |

## Definition--Circle Concepts--Arc Length |
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This is a collection of definitions related to circles and related topics. This includes general definitions for parts of a circle, constructions involving circles, and other examples. Note: The download is a PNG file. ## Related Resources## To see the complete collection of Math Definitions on this topic, click on this
Link. |
Applications of Circles, Definition of a Circle | |

## Definition--Circle Concepts--Area of a Circle |
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This is a collection of definitions related to circles and related topics. This includes general definitions for parts of a circle, constructions involving circles, and other examples. Note: The download is a PNG file. ## Related Resources## To see the complete collection of Math Definitions on this topic, click on this
Link. |
Applications of Circles, Definition of a Circle | |

## Definition--Circle Concepts--Center of a Circle |
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This is a collection of definitions related to circles and related topics. This includes general definitions for parts of a circle, constructions involving circles, and other examples. Note: The download is a PNG file. ## Related Resources## To see the complete collection of Math Definitions on this topic, click on this
Link. |
Applications of Circles, Definition of a Circle | |

## Definition--Circle Concepts--Chord |
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Note: The download is a PNG file. ## Related Resources## To see the complete collection of Math Definitions on this topic, click on this
Link. |
Applications of Circles, Definition of a Circle | |

## Definition--Circle Concepts--Circle |
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Note: The download is a PNG file. ## Related Resources## To see the complete collection of Math Definitions on this topic, click on this
Link. |
Applications of Circles, Definition of a Circle | |

## Definition--Circle Concepts--Circle Inscribed in a Square |
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Note: The download is a PNG file. ## Related Resources## To see the complete collection of Math Definitions on this topic, click on this
Link. |
Applications of Circles, Definition of a Circle | |

## Definition--Circle Concepts--Circle Inscribed in a Triangle |
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Note: The download is a PNG file. ## Related Resources## To see the complete collection of Math Definitions on this topic, click on this
Link. |
Applications of Circles, Definition of a Circle | |

## Definition--Circle Concepts--Circles on a Coordinate Plane |
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Note: The download is a PNG file. ## Related Resources## To see the complete collection of Math Definitions on this topic, click on this
Link. |
Applications of Circles, Definition of a Circle | |

## Definition--Circle Concepts--Circular Arc |
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Note: The download is a PNG file. ## Related Resources## To see the complete collection of Math Definitions on this topic, click on this
Link. |
Applications of Circles, Definition of a Circle | |

## Definition--Circle Concepts--Circular Composite Figures |
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Note: The download is a PNG file. ## Related Resources## To see the complete collection of Math Definitions on this topic, click on this
Link. |
Applications of Circles, Definition of a Circle | |

## Definition--Circle Concepts--Circular Cross-Sections |
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Note: The download is a PNG file. ## Related Resources## To see the complete collection of Math Definitions on this topic, click on this
Link. |
Applications of Circles, Definition of a Circle | |

## Definition--Circle Concepts--Circular Functions |
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Note: The download is a PNG file. ## Related Resources## To see the complete collection of Math Definitions on this topic, click on this
Link. |
Applications of Circles, Definition of a Circle | |

## Definition--Circle Concepts--Circular Models |
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Note: The download is a PNG file. ## Related Resources## To see the complete collection of Math Definitions on this topic, click on this
Link. |
Applications of Circles, Definition of a Circle | |

## Definition--Circle Concepts--Circular Numerical Models |
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Note: The download is a PNG file. ## Related Resources## To see the complete collection of Math Definitions on this topic, click on this
Link. |
Applications of Circles, Definition of a Circle | |

## Definition--Circle Concepts--Circumcenter of Triangle |
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Note: The download is a PNG file. ## Related Resources## To see the complete collection of Math Definitions on this topic, click on this
Link. |
Applications of Circles, Definition of a Circle | |

## Definition--Circle Concepts--Circumference |
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Note: The download is a PNG file. ## Related Resources## To see the complete collection of Math Definitions on this topic, click on this
Link. |
Applications of Circles, Definition of a Circle | |

## Definition--Circle Concepts--Circumscribed Angle |
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Note: The download is a PNG file. ## Related Resources## To see the complete collection of Math Definitions on this topic, click on this
Link. |
Applications of Circles, Definition of a Circle | |

## Definition--Circle Concepts--Concentric Circles |
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Note: The download is a PNG file. ## Related Resources## To see the complete collection of Math Definitions on this topic, click on this
Link. |
Applications of Circles, Definition of a Circle | |

## Definition--Circle Concepts--Diameter |
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Note: The download is a PNG file. ## Related Resources## To see the complete collection of Math Definitions on this topic, click on this
Link. |
Applications of Circles, Definition of a Circle |