Use the following Media4Math resources with this Illustrative Math lesson.
Thumbnail Image | Title | Body | Curriculum Nodes |
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Video Definition 49--3D Geometry--Vertical Cross-Section of a Cube |
Vertical Cross-Section of a CubeTopic3D Geometry DefinitionA vertical cross-section of a cube is the intersection of the cube with a vertical plane, resulting in a square. |
3-Dimensional Figures | |
Video Definition 49--3D Geometry--Vertical Cross-Section of a Cube--Spanish Audio |
Video Definition 49--3D Geometry--Vertical Cross-Section of a Cube--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video. |
3-Dimensional Figures | |
Video Definition 5--3D Geometry--Cone |
Cone
Topic3D Geometry DefinitionA cone is a three-dimensional geometric shape with a circular base and a single vertex, called the apex, not in the plane of the circle. DescriptionCones are prevalent in both natural and man-made structures, such as traffic cones and volcanoes. In mathematics, cones are studied for their properties, including surface area and volume. The volume V of a cone is given by the formula V = 1/3 πr2h |
Cones | |
Video Definition 5--3D Geometry--Cone--Spanish Audio |
Video Definition 5--3D Geometry--Cone--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video. |
Cones | |
Video Definition 50--3D Geometry--Vertical Cross-Section of a Dodecahedron |
Vertical Cross-Section of a DodecahedronTopic3D Geometry DefinitionA vertical cross-section of a dodecahedron is the intersection of the dodecahedron with a vertical plane, resulting in a polygon. |
3-Dimensional Figures | |
Video Definition 50--3D Geometry--Vertical Cross-Section of a Dodecahedron--Spanish Audio |
Video Definition 50--3D Geometry--Vertical Cross-Section of a Dodecahedron--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video. |
3-Dimensional Figures | |
Video Definition 51--3D Geometry--Vertical Cross-Section of a Sphere |
Vertical Cross-Section of a SphereTopic3D Geometry DefinitionA vertical cross-section of a sphere is the intersection of the sphere with a vertical plane, resulting in a circle. |
3-Dimensional Figures | |
Video Definition 51--3D Geometry--Vertical Cross-Section of a Sphere--Spanish Audio |
Video Definition 51--3D Geometry--Vertical Cross-Section of a Sphere--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video. |
3-Dimensional Figures | |
Video Definition 52--3D Geometry--Vertical Cross-Section of a Tetrahedron |
Vertical Cross-Section of a TetrahedronTopic3D Geometry DefinitionA vertical cross-section of a tetrahedron is the intersection of the tetrahedron with a vertical plane, resulting in a triangle or another polygon. |
3-Dimensional Figures | |
Video Definition 52--3D Geometry--Vertical Cross-Section of a Tetrahedron--Spanish Audio |
Video Definition 52--3D Geometry--Vertical Cross-Section of a Tetrahedron--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video. |
3-Dimensional Figures | |
Video Definition 53--3D Geometry--Vertical Cross-Section of an Antiprism |
Vertical Cross-Section of an AntiprismTopic3D Geometry DefinitionA vertical cross-section of an antiprism is the intersection of the antiprism with a vertical plane, resulting in a polygon. |
3-Dimensional Figures | |
Video Definition 53--3D Geometry--Vertical Cross-Section of an Antiprism--Spanish Audio |
Video Definition 53--3D Geometry--Vertical Cross-Section of an Antiprism--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video. |
3-Dimensional Figures | |
Video Definition 54--3D Geometry--Vertical Cross-Section of an Icosahedron |
Vertical Cross-Section of an IcosahedronTopic3D Geometry DefinitionA vertical cross-section of an icosahedron is the intersection of the icosahedron with a vertical plane, resulting in a polygon. |
3-Dimensional Figures | |
Video Definition 54--3D Geometry--Vertical Cross-Section of an Icosahedron--Spanish Audio |
Video Definition 54--3D Geometry--Vertical Cross-Section of an Icosahedron--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video. |
3-Dimensional Figures | |
Video Definition 55--3D Geometry--Vertical Cross-Sections of a Cone |
Vertical Cross-Sections of a ConeTopic3D Geometry DefinitionVertical cross-sections of a cone are the intersections of the cone with vertical planes, resulting in shapes like triangles or parabolas. |
Cones | |
Video Definition 55--3D Geometry--Vertical Cross-Sections of a Cone--Spanish Audio |
Video Definition 55--3D Geometry--Vertical Cross-Sections of a Cone--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video. |
Cones | |
Video Definition 56--3D Geometry--Vertical Cross-Sections of a Cylinder |
Vertical Cross-Sections of a CylinderTopic3D Geometry DefinitionVertical cross-sections of a cylinder are the intersections of the cylinder with vertical planes, resulting in rectangles or ellipses. |
Cylinders | |
Video Definition 56--3D Geometry--Vertical Cross-Sections of a Cylinder--Spanish Audio |
Video Definition 56--3D Geometry--Vertical Cross-Sections of a Cylinder--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video. |
Cylinders | |
Video Definition 57--3D Geometry--Vertical Cross-Sections of a Square Pyramid |
Vertical Cross-Sections of a Square PyramidTopic3D Geometry DefinitionVertical cross-sections of a square pyramid are the intersections of the pyramid with vertical planes, resulting in triangles or trapezoids. |
Pyramids | |
Video Definition 57--3D Geometry--Vertical Cross-Sections of a Square Pyramid--Spanish Audio |
Video Definition 57--3D Geometry--Vertical Cross-Sections of a Square Pyramid--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video. |
Pyramids | |
Video Definition 58--3D Geometry--Vertical Cross-Sections of a Triangular Prism |
Vertical Cross-Sections of a Triangular PrismTopic3D Geometry DefinitionVertical cross-sections of a triangular prism are the intersections of the prism with vertical planes, resulting in rectangles or triangles. |
Triangular Prisms | |
Video Definition 58--3D Geometry--Vertical Cross-Sections of a Triangular Prism--Spanish Audio |
Video Definition 58--3D Geometry--Vertical Cross-Sections of a Triangular Prism--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video. |
Triangular Prisms | |
Video Definition 59--3D Geometry--Volume |
VolumeTopic3D Geometry DefinitionVolume is the amount of space occupied by a three-dimensional object. DescriptionVolume is a fundamental concept in geometry, representing the amount of space a three-dimensional object occupies. It is essential for calculating the capacity of containers, the displacement of fluids, and the mass of objects. Understanding volume involves using formulas specific to each shape, such as V = l × w × h for a rectangular prism or V = 4/3 πr3 |
Volume | |
Video Definition 59--3D Geometry--Volume--Spanish Audio |
Video Definition 59--3D Geometry--Volume--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video. |
Volume | |
Video Definition 6--3D Geometry--Cross-sections of a Cube |
Cross-sections of a Cube
Topic3D Geometry DefinitionCross-sections of a cube are the intersections of a plane with the cube, resulting in various two-dimensional shapes. |
Cubes | |
Video Definition 6--3D Geometry--Cross-sections of a Cube--Spanish Audio |
Video Definition 6--3D Geometry--Cross-sections of a Cube--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video. |
Cubes | |
Video Definition 7--3D Geometry--Cross-Sections of a Sphere |
Cross-Sections of a Sphere
Topic3D Geometry DefinitionCross-sections of a sphere are circular slices obtained by cutting the sphere with a plane. |
Spheres | |
Video Definition 7--3D Geometry--Cross-Sections of a Sphere--Spanish Audio |
Video Definition 7--3D Geometry--Cross-Sections of a Sphere--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video. |
Spheres | |
Video Definition 8--3D Geometry--Cube |
Cube
Topic3D Geometry DefinitionA cube is a three-dimensional geometric figure with six equal square faces. DescriptionCubes are fundamental in geometry due to their symmetry and simplicity. They are used in various applications, such as packaging and architecture, where efficient space utilization is essential. The volume V of a cube is calculated as V = a3 |
Cubes | |
Video Definition 8--3D Geometry--Cube--Spanish Audio |
Video Definition 8--3D Geometry--Cube--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video. |
Cubes | |
Video Definition 9--3D Geometry--Cylinder |
Cylinder
Topic3D Geometry DefinitionA cylinder is a three-dimensional geometric shape with two parallel circular bases connected by a curved surface. DescriptionCylinders are common in everyday objects, such as cans and pipes. In mathematics, cylinders are studied for their properties, including surface area and volume. The volume V of a cylinder is given by the formula V = πr2h |
Cylinders | |
Video Definition 9--3D Geometry--Cylinder--Spanish Audio |
Video Definition 9--3D Geometry--Cylinder--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video. |
Cylinders | |
Video Transcript: Desmos Geometry Exploration: Quadrilaterals with Parallel Sides |
Video Transcript: Desmos Geometry Exploration: Quadrilaterals with Parallel Sides
This is the transcript for the video entitled, Desmos Geometry Exploration: Quadrilaterals with Parallel Lines. In this video tutorial the basics of quadrilaterals are explored. Students are then shown how to construct quadrilaterals using the Desmos geometry tools. |
Definition of a Quadrilateral | |
Video Transcript: Geometry Applications: 3D Geometry |
Video Transcript: Geometry Applications: 3D Geometry
This is the transcript for the video of same title. Video contents: 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. |
3-Dimensional Figures and Applications of 3D Geometry | |
Video Transcript: Geometry Applications: 3D Geometry, Segment 1: Introduction |
Video Transcript: Geometry Applications: 3D Geometry, Segment 1: Introduction
This is the transcript for the video of same title. Video contents: We visit ancient Greece to learn about the Platonic Solids. This provides an introduction to the more general topic of three-dimensional figures. This is part of a collection of video transcript from the Geometry Applications video series. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
3-Dimensional Figures and Applications of 3D Geometry | |
Video Transcript: Geometry Applications: 3D Geometry, Segment 2: Pyramids |
Video Transcript: Geometry Applications: 3D Geometry, Segment 2: Pyramids
This is the transcript for the video of same title. Video contents: 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 Applications of 3D Geometry | |
Video Transcript: Geometry Applications: 3D Geometry, Segment 3: Cylinders |
Video Transcript: Geometry Applications: 3D Geometry, Segment 3: Cylinders
This is the transcript for the video of same title. Video contents: 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 Applications of 3D Geometry | |
Video Transcript: Geometry Applications: Quadrilaterals, Segment 2: Squares and Rectangles |
Video Transcript: Geometry Applications: Quadrilaterals, Segment 2: Squares and Rectangles
This is the transcript for the video of same title. Video contents: 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. |
Applications of Quadrilaterals | |
Video Transcript: Geometry Applications: Transformations, Segment 2: 3D Translations |
Video Transcript: Geometry Applications: Transformations, Segment 2: 3D Translations
This is the transcript for the video of same title. Video contents: Cargo ships transport tons of merchandise from one country to another and accounts for most of the global economy. Loading and unloading these ships requires a great deal of organization and provides an ideal example of three-dimensional translations. |
Applications of Transformations | |
Video Tutorial: Desmos Geometry Exploration: Quadrilateral with Parallel Sides |
Video Tutorial: Desmos Geometry Exploration: Quadrilateral with Parallel Sides
This is part of a collection of video tutorials on the topic of using the Desmos Geometry tools to explore geometric concepts. |
Definition of a Quadrilateral | |
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. In the second application we look at the Shanghai Tower as an example of cylindrically shaped structures. — CLICK THE PREVIEW BUTTON TO SEE THE VIDEO —Study these animations to learn the basic properties of these 3D figures. In particular, make a note of their sides, edges, and vertices. Look for any symmetries they have. Look for polygon shapes that are familiar. Finally, think of real-world examples that use these figures. |
3-Dimensional Figures and Applications of 3D Geometry | |
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. — CLICK THE PREVIEW BUTTON TO SEE THE VIDEO —Study these animations to learn the basic properties of these 3D figures. In particular, make a note of their sides, edges, and vertices. Look for any symmetries they have. Look for polygon shapes that are familiar. Finally, think of real-world examples that use these figures. Below we also include information about Platonic solids and 2D nets of these 3D figures. To get a better understanding of these 3D figures, study these basic forms. |
3-Dimensional Figures and Applications of 3D Geometry | |
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. — CLICK THE PREVIEW BUTTON TO SEE THE VIDEO —Study these animations to learn the basic properties of these 3D figures. In particular, make a note of their sides, edges, and vertices. Look for any symmetries they have. Look for polygon shapes that are familiar. Finally, think of real-world examples that use these figures. Below we also include information about Platonic solids and 2D nets of these 3D figures. To get a better understanding of these 3D figures, study these basic forms. |
3-Dimensional Figures, Pyramids and Applications of 3D Geometry | |
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. — CLICK THE PREVIEW BUTTON TO SEE THE VIDEO —Study these animations to learn the basic properties of these 3D figures. In particular, make a note of their sides, edges, and vertices. Look for any symmetries they have. Look for polygon shapes that are familiar. Finally, think of real-world examples that use these figures. Below we also include information about Platonic solids and 2D nets of these 3D figures. To get a better understanding of these 3D figures, study these basic forms. |
3-Dimensional Figures, Cylinders and Applications of 3D Geometry | |
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. 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. |
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. 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. |
Applications of Quadrilaterals | |
Worksheet: 2D-3D Shapes, Worksheet 4 |
Worksheet: 2D-3D Shapes, Worksheet 4
This is part of a collection of math worksheets on the topic of 2D and 3D geometry. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
3-Dimensional Figures | |
Worksheet: Crossword Puzzle--Quadrilaterals |
Worksheet: Crossword Puzzle--Quadrilaterals
This is part of a collection of math worksheets that are crossword puzzles of math vocabulary. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Definition of a Quadrilateral |