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These are the resources that support this Florida Standard.

MAFS.912.G-MG.1.2: Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).

There are 140 resources.
Title Description Thumbnail Image Curriculum Topics

Math Video Collection: Geometry Applications Video Series: Triangles

Overview

Math Videos Definition of a Triangle and Applications of Triangles

Math Video Collection: Geometry Applications Video Series: Transformations

Math Videos Applications of Transformations and Definition of Transformations

Math Video Collection: Geometry Applications Video Series: Surface Area and Volume

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Math Videos Applications of Surface Area and Volume, Surface Area and Volume

Math Video Collection: Geometry Applications Video Series: Quadrilaterals

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Math Videos Applications of Quadrilaterals and Definition of a Quadrilateral

Math Video Collection: Geometry Applications Video Series: Polygons

Overview

Math Videos Applications of Polygons and Definition of a Polygon

Math Video Collection: Geometry Applications Video Series: Points and Lines

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Math Videos Applications of Points and Lines, Definition of a Line and Definition of a Point

Math Video Collection: Geometry Applications Video Series: Coordinate Geometry

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Math Videos Applications of Coordinate Geometry and Coordinate Systems

Math Video Collection: Geometry Applications Video Series: Circles

Overview

Math Videos Applications of Circles and Definition of a Circle

Math Video Collection: Geometry Applications Video Series: Angles and Planes

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Math Videos Applications of Angles and Planes, Definition of an Angle and Applications of Points and Lines

Math Video Collection: Geometry Applications Video Series: 3D Geometry

Overview

Math Videos 3-Dimensional Figures, Pyramids, Cylinders, Applications of 3D Geometry, Triangular Prisms and Rectangular Prisms

Algebra Nspirations Teacher's Guide: Variables and Equations

Algebra Nspirations Teacher's Guide: Variables and Equations

This is the Teacher's Guide that accompanies Algebra Nspirations: Variables and Equations.

Algebra Nspirations Teacher's Guide: Variables and Equations Applications of Equations and Inequalities

Closed Captioned Video: Geometry Applications: 3D Geometry

Closed Captioned Video: Geometry Applications: 3D Geometry

In this program we explore the properties of three-dimensional figures. We do this in the context of two real-world applications. In the first, we look at the three-dimensional structure of Mayan pyramids. These stair-step structures provide a unique opportunity to also explore sequences and series.

Closed Captioned Video: Geometry Applications: 3D Geometry 3-Dimensional Figures and Applications of 3D Geometry

Closed Captioned Video: Geometry Applications: 3D Geometry, 1

Closed Captioned Video: Geometry Applications: 3D Geometry, Segment 1: Introduction.

We visit ancient Greece to learn about the Platonic Solids. This provides an introduction to the more general topic of three-dimensional figures.

Closed Captioned Video: Geometry Applications: 3D Geometry, Segment 1: Introduction. 3-Dimensional Figures and Applications of 3D Geometry

Closed Captioned Video: Geometry Applications: 3D Geometry, 2

Closed Captioned Video: Geometry Applications: 3D Geometry, Segment 2: Pyramids

Rectangular Prisms. Mayan pyramids are essentially stacks of rectangular prisms. The volume of each successive level is a percentage decrease of its lower neighbor. This introduces the notion of a geometric sequence and series, including an infinite series.

Closed Captioned Video: Geometry Applications: 3D Geometry, Segment 2: Pyramids 3-Dimensional Figures, Pyramids and Applications of 3D Geometry

Closed Captioned Video: Geometry Applications: 3D Geometry, 3

Closed Captioned Video: Geometry Applications: 3D Geometry, Segment 3: Cylinders

The Shanghai Tower in China is a stack of cylindrical shapes, where each successive layer is a percentage decrease of its lower neighbor. As with the previous section, this introduces the notion of a geometric sequence and series.

Closed Captioned Video: Geometry Applications: 3D Geometry, Segment 3: Cylinders 3-Dimensional Figures, Cylinders and Applications of 3D Geometry

Closed Captioned Video: Geometry Applications: Angles and Planes

Closed Captioned Video: Geometry Applications: Angles and Planes

In this program we explore the properties of angles and planes. We do this in the context of two real-world applications. In the first, we explore Japan's Himeji Castle and in the process learn about different types of angles and how they're used in a defensive fortification.

Closed Captioned Video: Geometry Applications: Angles and Planes Applications of Angles and Planes

Closed Captioned Video: Geometry Applications: Angles and Planes, 1

Closed Captioned Video: Geometry Applications: Angles and Planes, Segment 1: Introduction

The observatory in Arecibo, Puerto Rico provides astronomers insights into the structure of our solar system. Geometrically, the solar system relies on the plane known as the ecliptic.

Closed Captioned Video: Geometry Applications: Angles and Planes, Segment 1: Introduction Applications of Angles and Planes

Closed Captioned Video: Geometry Applications: Angles and Planes, 2

Closed Captioned Video: Geometry Applications: Angles and Planes, Segment 2: Angles

Himeji castle in Japan is a marvel of architecture and a startling example of geometry and military science.

Closed Captioned Video: Geometry Applications: Angles and Planes, Segment 2: Angles Applications of Angles and Planes

Closed Captioned Video: Geometry Applications: Angles and Planes, 3

Closed Captioned Video: Geometry Applications: Angles and Planes, Segment 3: Planes

In the Canadian Rockies, the Burgess Shale fossils provide a window to prehistoric Earth. Fossil layers are folded into sedimentary rocks. And sedimentary rocks are examples of parallel planes. This segment uses the properties of planes to analyze fossils.

Closed Captioned Video: Geometry Applications: Angles and Planes, Segment 3: Planes Applications of Angles and Planes

Closed Captioned Video: Geometry Applications: Area and Volume

Closed Captioned Video: Geometry Applications: Area and Volume

In this program we look at applications of area and volume. We do this in the context of three real-world applications. In the first, we look at the sinking of the Titanic in the context of volume and density.

Closed Captioned Video: Geometry Applications: Area and Volume Applications of Surface Area and Volume, Surface Area and Volume

Closed Captioned Video: Geometry Applications: Area and Volume, 1

Closed Captioned Video: Geometry Applications: Area and Volume, Segment 1: Volume and Density.

The sinking of the Titanic provides an opportunity to explore volume, density, and buoyancy. Students construct a mathematical model of the Titanic to determine why it sank and what could have been done to prevent it from sinking.

Closed Captioned Video: Geometry Applications: Area and Volume, Segment 1: Volume and Density. Applications of Surface Area and Volume, Surface Area and Volume

Closed Captioned Video: Geometry Applications: Area and Volume, 2

Closed Captioned Video: Geometry Applications: Area and Volume, Segment 2: Surface Area.

The glass-paneled pyramid at the Louvre Museum in Paris is a tessellation of rhombus-shaped glass panels. Students create a model of the pyramid to calculate the number of panels used to cover the surface area of the pyramid.

Closed Captioned Video: Geometry Applications: Area and Volume, Segment 2: Surface Area. Applications of Surface Area and Volume, Surface Area and Volume

Closed Captioned Video: Geometry Applications: Area and Volume, 3

Closed Captioned Video: Geometry Applications: Area and Volume, Segment 3: Ratio of Surface Area to Volume.

The Citibank Tower in New York City presents some unique design challenges. In addition it has to cope with a problem that all tall structure have to deal with: heat loss.

Closed Captioned Video: Geometry Applications: Area and Volume, Segment 3: Ratio of Surface Area to Volume. Applications of Surface Area and Volume, Surface Area and Volume

Closed Captioned Video: Geometry Applications: Circles

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.

Closed Captioned Video: Geometry Applications: Circles Applications of Circles and Definition of a Circle

Closed Captioned Video: Geometry Applications: Circles, 1

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.

Closed Captioned Video: Geometry Applications: Circles, Segment 1: The Basics of Circles. Applications of Circles and Definition of a Circle