CCSS

These are the resources that support this Common Core Standard.

CCSS.MATH.CONTENT.7.G.B.6

Title Description Thumbnail Image

VIDEO: 3D Geometry Animation: Antiprism

This animated sequence showsan antiprism from top to bottom.

VIDEO: 3D Geometry Animation: Antiprism Folding Out into Two Pyramids

This animated sequence shows an antiprism unfolding into two pyramids.

VIDEO: 3D Geometry Animation: Cone

This animated sequence shows a cone from top to bottom.

VIDEO: 3D Geometry Animation: Cube

This animated sequence shows a cube from top to bottom.

VIDEO: 3D Geometry Animation: Cylinder

This animated sequence shows a cylinder from top to bottom.

VIDEO: 3D Geometry Animation: Octahedron

This animated sequence shows an octahedron from top to bottom.

VIDEO: 3D Geometry Animation: Pyramid

This animated sequence shows a pyramid from top to bottom.

VIDEO: 3D Geometry Animation: Rectangular Prism

This animated sequence shows a rectangular prism from top to bottom.

VIDEO: 3D Geometry Animation: Tetrahedron

This animated sequence shows a tetrahedron from top to bottom.

VIDEO: 3D Geometry Animation: Triangular Prism

This animated sequence shows a triangular prism from top to bottom.

Formulas--Surface Area of a Cube

The formula for the Surface Area of a Cube.

Formulas--Surface Area of a Rectangular Prism

The formula for the Surface Area of a Rectangular Prism.

Geometry Applications Teachers Guide: 3D Geometry

This is the Teacher's Guide that accompanies Geometry Applications: 3D Geometry.

To view the full video: https://www.media4math.com/library/geometry-applications-3d-geometry

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-geometry-applications-3d-geometry

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. In the second application we look at the Shanghai Tower as an example of cylindrically shaped structures.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-3d-geometry

This video includes a Teacher's Guide: https://www.media4math.com/library/geometry-applications-teachers-guide-3d-geometry

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.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-3d-geometry-segment-1-introduction

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.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-3d-geometry-segment-2-pyramids

A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-geometry-applications-3d-geometry-1

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.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-3d-geometry-segment-3-cylinders

A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-geometry-applications-3d-geometry-2

VIDEO: Geometry Applications: Quadrilaterals

In this program we explore the properties of quadrilaterals. We do this in the context of two real-world applications. In the first, we explore the architecture of Frank Lloyd Wright as an application of squares and rectangles; in particular, we look at his Fallingwater house. In the second application we look at a unique parallelogram-shaped building in Spain, known as the Puerta de Europa. It provides an opportunity to explore the properties of parallelograms and trapezoids.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-quadrilaterals

VIDEO: Geometry Applications: Quadrilaterals, Segment 1: Introduction

Stonehenge is best known as a circular structure. But it’s the post and lintel construction used that is noteworthy, and this type of construction involves quadrilateral shapes. From the familiar door frames of houses to the majestic entryways of ancient temples, post and lintel construction provides a clear introduction to the nature of quadrilaterals. This segment also describes the key concepts developed throughout the program.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-quadrilaterals-segment-1-introduction

VIDEO: Geometry Applications: Quadrilaterals, Segment 2: Squares and Rectangles

Frank Lloyd Wright’s architectural masterpiece Falling Water is also a stunning assembly of quadrilateral shapes. Some of the rectangular forms in this building seem to defy gravity, as we explore the properties of squares and rectangles that allowed Frank Lloyd Wright to push the envelope of design and structure.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-quadrilaterals-segment-2-squares-and-rectangles

This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-geometry-applications-quadrilaterals-1

VIDEO: Geometry Applications: Quadrilaterals, Segment 3: Parallelograms and Trapezoids

The Puerta de Europa towers in Madrid bring parallelograms front and center. These tilted towers, looking like modern-day towers of Pisa seem to defy gravity, but rely on the stability brought about by its quadrilateral structure. The underlying parallelogram and trapezoidal designs are explored and analyzed.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-quadrilaterals-segment-3-parallelograms-and

This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-geometry-applications-quadrilaterals-2

INSTRUCTIONAL RESOURCE: Algebra Application: Interior Angles of a Polygon

In this Slide Show, apply concepts of linear functions to the context of the interior angles of a polygon. Note: The download is a PPT file.

MATH EXAMPLE: Area and Perimeter of Quadrilaterals: Example 01

Area and Perimeter of Quadrilaterals: Example 1. Finding the area of a square when all measures are expressed as numbers.

MATH EXAMPLE: Area and Perimeter of Quadrilaterals: Example 02

Area and Perimeter of Quadrilaterals: Example 2. Finding the area of a square when all measures are expressed as variable expressions.

MATH EXAMPLE: Area and Perimeter of Quadrilaterals: Example 03

Area and Perimeter of Quadrilaterals: Example 3. Finding the area of a rectangle when all measures are expressed as numbers.