TEKS

These are the resources that support this TEKS Standard.

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.

There are 239 resources.
Title Description Thumbnail Image Curriculum Topics

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.

VIDEO: Geometry Applications: 3D Geometry, Segment 2: Pyramids 3-Dimensional Figures, 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.

VIDEO: Geometry Applications: 3D Geometry, Segment 3: Cylinders 3-Dimensional Figures, Cylinders

VIDEO: Geometry Applications: Quadrilaterals

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.

VIDEO: Geometry Applications: Quadrilaterals Applications of Quadrilaterals

VIDEO: Geometry Applications: Quadrilaterals, 1

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 1: Introduction Applications of Quadrilaterals

VIDEO: Geometry Applications: Quadrilaterals, 2

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 2: Squares and Rectangles Applications of Quadrilaterals

VIDEO: Geometry Applications: Quadrilaterals, 3

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

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.

VIDEO: 3D Geometry Animation: Cone 3-Dimensional Figures, 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.

VIDEO: 3D Geometry Animation: Cube 3-Dimensional Figures, Cubes

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.

VIDEO: 3D Geometry Animation: Cylinder 3-Dimensional Figures, 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.

VIDEO: 3D Geometry Animation: Octahedron 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.

VIDEO: 3D Geometry Animation: Pyramid 3-Dimensional Figures, 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.

VIDEO: 3D Geometry Animation: Rectangular Prism 3-Dimensional Figures, 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.

VIDEO: 3D Geometry Animation: Tetrahedron 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.

VIDEO: 3D Geometry Animation: Triangular Prism 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.

VIDEO: Geometry Applications: 3D Geometry 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.

VIDEO: 3D Geometry Animation: Antiprism 3-Dimensional Figures, 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.

VIDEO: Geometry Applications: 3D Geometry, Segment 1: Introduction. 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.

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

Math in the News: Issue 8--Tornado Damage Data Analysis

Math in the News: Issue 9--Mississippi Floods

Math in the News: Issue 9--Mississippi Floods

5/16/11. In this issue we look at the flooding along the Mississippi. In particular we analyze the flooding along Memphis, Tennessee. We develop a model for predicting the amount of flooding.

Math in the News: Issue 9--Mississippi Floods Volume

Math in the News: Issue 13--Living Near Volcanoes

Math in the News: Issue 13--Living Near Volcanoes

6/13/11. In this issue we explore the volcanic eruption in Chile that resulted in a huge plume of smoke and ash that was miles high. We explore the viscosity of lava that makes such eruptions possible.

Math in the News: Issue 13--Living Near Volcanoes Volume

Math in the News: Issue 15--Fracking for Oil

Math in the News: Issue 15--Fracking for Oil

6/27/11. In this issue we look at the technology of hydraulic fracking. In particular, we estimate the amount of drilling required for such wells.

Math in the News: Issue 15--Fracking for Oil Volume

Math in the News: Issue 27--Emerging from the Ashes of 9/11

Math in the News: Issue 27--Emerging from the Ashes of 9/11

9/19/11. To commemorate the 10-year anniversary of the 911, we look at the geometry and architecture of the Freedom Tower, currently under construction.

Math in the News: Issue 27--Emerging from the Ashes of 9/11 3-Dimensional Figures

Math in the News: Issue 31--Washington Monument: Under Repair

Math in the News: Issue 31--Washington Monument: Under Repair

10/17/11. In this issue we look at the earthquake damage that the Washington Monument recently experienced. Some dramatic footage reveals cracks in the exterior of the monument.

Math in the News: Issue 31--Washington Monument: Under Repair Applications of Transformations

Math in the News: Issue 35--125 and Counting

Math in the News: Issue 35--125 and Counting

11/14/11. In this issue we commemorate the 125th anniversary of the Statue of Liberty. We also look at the geometry and architecture of this monument.

Math in the News: Issue 35--125 and Counting Surface Area, Volume