TEKS-7-8B: Explain verbally and symbolically the relationship between the volume of a triangular prism and a triangular pyramid having both congruent bases and heights and connect that relationship to the formulas.

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Title Description Thumbnail Image Curriculum Topics

VIDEO: 3D Geometry Animation: Cylinder

3D Geometry Animation: Cylinder

This is part of a series of video animations of three-dimensional figures. These animations show different views of these figures: top, side, and bottom. Many of these figures are a standard part of the geometry curriculum and being able to recognize them is important.

3-Dimensional Figures and Cylinders

VIDEO: 3D Geometry Animation: Octahedron

VIDEO: 3D Geometry Animation: Octahedron

This is part of a series of video animations of three-dimensional figures. These animations show different views of these figures: top, side, and bottom. Many of these figures are a standard part of the geometry curriculum and being able to recognize them is important.

3-Dimensional Figures

VIDEO: 3D Geometry Animation: Pyramid

VIDEO: 3D Geometry Animation: Pyramid

This is part of a series of video animations of three-dimensional figures. These animations show different views of these figures: top, side, and bottom. Many of these figures are a standard part of the geometry curriculum and being able to recognize them is important.

3-Dimensional Figures and Pyramids

VIDEO: 3D Geometry Animation: Rectangular Prism

VIDEO: 3D Geometry Animation: Rectangular Prism

This is part of a series of video animations of three-dimensional figures. These animations show different views of these figures: top, side, and bottom. Many of these figures are a standard part of the geometry curriculum and being able to recognize them is important.

3-Dimensional Figures and Rectangular Prisms

VIDEO: 3D Geometry Animation: Tetrahedron

VIDEO: 3D Geometry Animation: Tetrahedron

This is part of a series of video animations of three-dimensional figures. These animations show different views of these figures: top, side, and bottom. Many of these figures are a standard part of the geometry curriculum and being able to recognize them is important.

3-Dimensional Figures

VIDEO: 3D Geometry Animation: Triangular Prism

VIDEO: 3D Geometry Animation: Triangular Prism

This is part of a series of video animations of three-dimensional figures. These animations show different views of these figures: top, side, and bottom. Many of these figures are a standard part of the geometry curriculum and being able to recognize them is important.

3-Dimensional Figures

VIDEO: 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.

3-Dimensional Figures

VIDEO: 3D Geometry Animation: Antiprism

VIDEO: 3D Geometry Animation: Antiprism

This is part of a series of video animations of three-dimensional figures. These animations show different views of these figures: top, side, and bottom. Many of these figures are a standard part of the geometry curriculum and being able to recognize them is important.

3-Dimensional Figures and Triangular Prisms

VIDEO: Geometry Applications: 3D Geometry, 1

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.

3-Dimensional Figures

VIDEO: 3D Geometry Animation: Antiprisms 2

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

This is part of a series of video animations of three-dimensional figures. These animations show different views of these figures: top, side, and bottom. Many of these figures are a standard part of the geometry curriculum and being able to recognize them is important.

3-Dimensional Figures

VIDEO: Geometry Applications: 3D Geometry, 2

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.

3-Dimensional Figures and Pyramids

VIDEO: Geometry Applications: 3D Geometry, 3

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.

3-Dimensional Figures and Cylinders

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.

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.

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.

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.

VIDEO: 3D Geometry Animation: Cone

VIDEO: 3D Geometry Animation: Cone

This is part of a series of video animations of three-dimensional figures. These animations show different views of these figures: top, side, and bottom. Many of these figures are a standard part of the geometry curriculum and being able to recognize them is important.

3-Dimensional Figures and Cones

VIDEO: 3D Geometry Animation: Cube

VIDEO: 3D Geometry Animation: Cube

This is part of a series of video animations of three-dimensional figures. These animations show different views of these figures: top, side, and bottom. Many of these figures are a standard part of the geometry curriculum and being able to recognize them is important.

3-Dimensional Figures and Cubes

Math in the News: Issue 38--December 7, 1941

Math in the News: Issue 38--December 7, 1941

12/7/11. In this issue we look at the heroic work of salvaging and retrofitting many of the ships sunk during the attack on Pearl Harbor.

Surface Area and Volume

Math in the News: Issue 39--Monument to a Hero

Math in the News: Issue 39--Monument to a Hero

12/12/11. In this issue we look at the MLK Memorial and the special properties of granite that presented some design challenges in the construction of the statue.

Surface Area and Volume

Math in the News: Issue 42--The Burj Khalifa Tower

Math in the News: Issue 42--The Burj Khalifa Tower

January 2012. In this issue we look at the Burj Khalifa Tower, made popular with the release of the Mission Impossible movie.

Applications of 3D Geometry

Math in the News: Issue 44--Sunk: The Costa Concordia

Math in the News: Issue 44--Sunk: The Costa Concordia

January 2012. In this issue of Math in the News we analyze how the Costa Concordia sank.

Surface Area and Volume

Math in the News: Issue 53--Titanic: A Century Later

Math in the News: Issue 53--Titanic: A Century Later

April 2012. In this issue of Math in the News we analyze the sinking of the Titanic. It has been a hundred years, yet the story of the sinkin g of the Titanic still fascinates.

Surface Area and Volume

Math in the News: Issue 56--The Freedom Tower

Math in the News: Issue 56--The Freedom Tower

May 2012. In this issue of Math in the News we look at the architecture of the Freedom Tower, now that it has become the tallest building in NYC.

3-Dimensional Figures

Math in the News: Issue 8--Tornado Damage

Math in the News: Issue 8--Tornado Damage

5/9/11. In this issue we look at tornado season. In particular we study why the swirling winds of a tornado are so damaging.

Data Analysis