CCSS

These are the resources that support this Common Core Standard.

HSG.C.A.4

There are 58 resources.
Title Description Thumbnail Image Curriculum Topics

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. 

Closed Captioned Video: Geometry Applications: Circles

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 Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

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GeoApps--Circles00.jpg Applications of Circles, Definition of a Circle

Closed Captioned Video: Geometry Applications: Circles, Segment 1: The Basics of Circles.

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 Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

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GeoApps--Circles01.jpg Applications of Circles, Definition of a Circle

Closed Captioned Video: Geometry Applications: Circles, Segment 2: Circles and Arcs.

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 Link

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

GeoApps--Circles02.jpg Applications of Circles, Definition of a Circle

Closed Captioned Video: Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles

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 Link

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

GeoApps--Circles03.jpg Applications of Circles, Definition of a Circle

Closed Captioned Video: TI-Nspire Mini-Tutorial: Circumscribing a Circle about a Triangle

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 Link

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.

NspireTutorial--CircumscribingTriangle.jpg Geometric Constructions with Triangles

Definition--Circle Concepts--Arc Length

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

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Definition--CircleConcepts--ArcLength.png Applications of Circles, Definition of a Circle

Definition--Circle Concepts--Area of a Circle

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

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Definition--CircleConcepts--AreaOfCircle.png Applications of Circles, Definition of a Circle

Definition--Circle Concepts--Center of a Circle

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.

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Definition--CircleConcepts--Center.png Applications of Circles, Definition of a Circle

Definition--Circle Concepts--Chord

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.

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Definition--CircleConcepts--Chord.png Applications of Circles, Definition of a Circle

Definition--Circle Concepts--Circle

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.

Definition--CircleConcepts--Circle.png Applications of Circles, Definition of a Circle

Definition--Circle Concepts--Circle Inscribed in a Square

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.

Definition--CircleConcepts--CircleInscribedInASquare.png Applications of Circles, Definition of a Circle

Definition--Circle Concepts--Circle Inscribed in a Triangle

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.

Definition--CircleConcepts--CircleInscribedInTriangle.png Applications of Circles, Definition of a Circle

Definition--Circle Concepts--Circles on a Coordinate Plane

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.

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Definition--CircleConcepts--CirclesOnACoordinatePlane.png Applications of Circles, Definition of a Circle

Definition--Circle Concepts--Circular Arc

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

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Definition--CircleConcepts--Arc.png Applications of Circles, Definition of a Circle

Definition--Circle Concepts--Circular Composite Figures

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.

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Definition--CircleConcepts--CircularCompositeFigures.png Applications of Circles, Definition of a Circle

Definition--Circle Concepts--Circular Cross-Sections

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

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Definition--CircleConcepts--CircularCrossSections.png Applications of Circles, Definition of a Circle

Definition--Circle Concepts--Circular Functions

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.

Definition--CircleConcepts--CircularFunctions.png Applications of Circles, Definition of a Circle

Definition--Circle Concepts--Circular Models

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.

Definition--CircleConcepts--CircularModels.png Applications of Circles, Definition of a Circle

Definition--Circle Concepts--Circular Numerical Models

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.

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Definition--CircleConcepts--CircularNumericalModels.png Applications of Circles, Definition of a Circle

Definition--Circle Concepts--Circumcenter of Triangle

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.

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Definition--CircleConcepts--CircumcenterOfTriangle.png Applications of Circles, Definition of a Circle

Definition--Circle Concepts--Circumference

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.

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Definition--CircleConcepts--Circumference.png Applications of Circles, Definition of a Circle

Definition--Circle Concepts--Circumscribed Angle

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.

Definition--CircleConcepts--CircumscribedAngle.png Applications of Circles, Definition of a Circle

Definition--Circle Concepts--Concentric Circles

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.

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Definition--CircleConcepts--ConcentricCircles.png Applications of Circles, Definition of a Circle

Definition--Circle Concepts--Diameter

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.

Definition--CircleConcepts--Diameter.png Applications of Circles, Definition of a Circle