Use the following Media4Math resources with this Illustrative Math lesson.
Thumbnail Image | Title | Body | Curriculum Topic |
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Holiday Themed Resource Collection: Math in the News |
This is a collection of Holiday-Themed issues of Math in the News.
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Data Analysis, Applications of Exponential and Logarithmic Functions, Surface Area and Volume | |
Math Examples Collection: Volume |
OverviewThis collection aggregates all the math examples around the topic of Volume. There are a total of 24 Math Examples. This collection of resources is made up of downloadable PNG images that you can easily incorporate into your lesson plans.
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Volume | |
Math Video Collection: Geometry Applications Video Series: 3D Geometry |
OverviewThis collection aggregates all the math videos and resources in this series: Geometry Applications Video Series: 3D Geometry. There are a total of 18 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.
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3-Dimensional Figures, Pyramids, Cylinders, Applications of 3D Geometry, Triangular Prisms and Rectangular Prisms | |
Math Video Collection: 3D Geometry Animations |
OverviewThis collection aggregates all the math videos and resources in this series: 3D Geometry Animations. There are a total of 10 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.
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3-Dimensional Figures, Cubes, Cones, Triangular Prisms, Pyramids, Cylinders and Rectangular Prisms | |
Math in the News Collection: Applications of Data Analysis |
OverviewThis is a collection of Math in the News stories that focus on the topic of Data Analysis.
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Data Analysis, Data Gathering, Probability, Percents and Ratios and Rates | |
Math in the News Collection: Business Math |
OverviewThis is a collection of issues of Math in the News that deal with business applications.
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Applications of Exponential and Logarithmic Functions, Data Analysis and Volume | |
Math in the News Collection: Applications of 3D Geometry |
OverviewThis is a collection of issues of Math in the News that deal with applications of 3D geometry.
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3-Dimensional Figures and Applications of 3D Geometry | |
Math in the News Collection: Applications of Surface Area and Volume |
OverviewThis is a collection of issues of Math in the News that deal with applications of Surface Area and Volume.
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Surface Area and Volume | |
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. — CLICK THE PREVIEW BUTTON TO SEE THE VIDEO ANIMATION —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 Triangular Prisms | |
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. — CLICK THE PREVIEW BUTTON TO SEE THE VIDEO ANIMATION —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 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. — CLICK THE PREVIEW BUTTON TO SEE THE VIDEO ANIMATION —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 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. — CLICK THE PREVIEW BUTTON TO SEE THE VIDEO ANIMATION —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 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. — CLICK THE PREVIEW BUTTON TO SEE THE VIDEO ANIMATION —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 | |
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. — CLICK THE PREVIEW BUTTON TO SEE THE VIDEO ANIMATION —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 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. — CLICK THE PREVIEW BUTTON TO SEE THE VIDEO ANIMATION —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 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. — CLICK THE PREVIEW BUTTON TO SEE THE VIDEO ANIMATION —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 | |
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. — CLICK THE PREVIEW BUTTON TO SEE THE VIDEO ANIMATION —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 | |
Animated Math Clip Art--3D Geometry--Cube with Horizontal Cross-Section | Cube with Horizontal Cross-SectionTopic3D Geometry DescriptionThis animation shows a cube with a horizontal cross-section, illustrating how slicing the cube parallel to its base results in a square cross-section. This is useful for visualizing and understanding the internal structure and symmetry of cubes. Using animated math clip art like this helps students visualize the concept of cross-sections and their applications in geometry. Teachers can use this image to explain how horizontal cross-sections reveal the internal structure of cubes. |
3-Dimensional Figures | |
Animated Math Clip Art--3D Geometry--Dodecahedron | DodecahedronTopic3D Geometry DescriptionA dodecahedron is a three-dimensional shape with twelve flat faces, each a regular pentagon. This animated clip art shows the rotation of a dodecahedron, highlighting its symmetry and geometric properties. Animated math clip art like this is crucial for teaching as it allows students to visualize complex polyhedra, enhancing their understanding of geometric concepts. Teachers can use this image to explain the structure and characteristics of dodecahedrons. Here is a potential script for teachers: "Today, we are going to explore the geometry of a dodecahedron. Notice how the twelve pentagonal faces form a symmetrical shape. This helps us understand the properties of polyhedra." |
3-Dimensional Figures | |
Animated Math Clip Art--3D Geometry--Rotating a Rectangle to Form a Cylinder | Rotating a Rectangle to Form a CylinderTopic3D Geometry DescriptionThis animation demonstrates how rotating a rectangle around one of its sides creates a cylinder. It's a powerful visualization of how 2D shapes can generate 3D objects through rotation. Using animated math clip art like this helps students understand the concept of solids of revolution. Teachers can use this to introduce topics in calculus, such as finding volumes using the disk or washer methods. |
Cylinders | |
Animated Math Clip Art--3D Geometry--Rotating a Rectangle to Form an Open Cylinder | Rotating a Rectangle to Form an Open CylinderTopic3D Geometry DescriptionThis animation shows how rotating a rectangular strip around an axis parallel to one of its sides creates an open cylinder. It illustrates the concept of surface area of revolution. Animated math clip art like this is valuable for teaching as it helps students visualize how 2D shapes can generate 3D surfaces. Teachers can use this to introduce topics in calculus, such as finding surface areas of revolution. |
Cylinders | |
Animated Math Clip Art--3D Geometry--Rotating a Square to Form a Cylinder | Rotating a Square to Form a CylinderTopic3D Geometry DescriptionThis animation demonstrates how rotating a square around one of its sides creates a cylinder. It's a special case of rotating a rectangle, where the height and diameter of the resulting cylinder are equal. Using animated math clip art like this helps students understand the relationship between 2D and 3D shapes. Teachers can use this to discuss how the dimensions of the original shape relate to the dimensions of the resulting solid. |
Cylinders | |
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. 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 | |
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. — 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 | |
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. — 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 | |
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. — 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 | |
Definition--3D Geometry Concepts--Cylinder | CylinderTopic3D Geometry DefinitionA cylinder is a three-dimensional geometric figure with two parallel circular bases connected by a curved surface at a fixed distance from each other. DescriptionIn the realm of three-dimensional geometry, a cylinder is a fundamental shape characterized by its two identical, parallel circular bases and a curved surface that connects these bases. The line segment joining the centers of the bases is called the axis of the cylinder, and it is perpendicular to the bases. The distance between the bases is the height of the cylinder, while the radius is the distance from the center to the edge of the base. |
Cylinders | |
Definition--3D Geometry Concepts--Horizontal Cross-Sections of a Cylinder | Horizontal Cross Sections of a CylinderTopic3D Geometry DefinitionA horizontal cross-section of a cylinder is the intersection of the cylinder with a plane that is parallel to the base of the cylinder. DescriptionIn the context of three-dimensional geometry, understanding the concept of cross-sections is crucial. A cylinder is a three-dimensional shape with two parallel circular bases connected by a curved surface. When a horizontal plane intersects a cylinder, the resulting cross-section is a circle. This concept is not only fundamental in geometry but also has practical applications in various fields. |
Cylinders | |
Definition--3D Geometry Concepts--Vertical Cross-Sections of a Cylinder | Vertical Cross Sections of a CylinderTopic3D Geometry DefinitionA vertical cross-section of a cylinder is the intersection of the cylinder with a plane that is parallel to its axis. This cross-section is typically a rectangle if the plane cuts through the entire height of the cylinder. |
Cylinders | |
Formulas--Surface Area of a Cylinder | Formulas--Surface Area of a Cylinder
The formula for the Surface Area of a Cylinder. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Surface Area and Cylinders | |
Formulas--Volume of a Cylinder | Formulas--Volume of a Cylinder
The formula for the Volume of a Cylinder. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Volume and Cylinders | |
Geometry Applications Teachers Guide: 3D Geometry | Geometry Applications Teachers Guide: 3D Geometry
This is the Teacher's Guide that accompanies Geometry Applications: 3D Geometry. This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of 3D Geometry | |
Google Earth Voyager Story: Circular Structures, Part 2 | Google Earth Voyager Story: Circular Structures, Part 2TopicGeometric Models |
Applications of Circles and Cylinders | |
INSTRUCTIONAL RESOURCE: Math Examples 55 | INSTRUCTIONAL RESOURCE: Math Examples--Surface Area
This set of tutorials provides an overview of the 24 worked-out examples that show how to calculate the surface area of different three-dimensional figures. This is part of a collection of math examples for a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file.Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Surface Area | |
Math Clip Art--3D Figures--Cylinder | Math Clip Art--3D Figures--Cylinder
This collection of clip art images includes images of 3D figures and composite figures. |
3-Dimensional Figures and Applications of 3D Geometry | |
Math Example--Volume Concepts--Calculating Volume: Example 1 | Math Example--Volume Concepts--Calculating Volume: Example 1
This is part of a collection of math examples that focus on volume. |
Volume | |
Math Example--Volume Concepts--Calculating Volume: Example 10 | Math Example--Volume Concepts--Calculating Volume: Example 10
This is part of a collection of math examples that focus on volume. |
Volume | |
Math Example--Volume Concepts--Calculating Volume: Example 11 | Math Example--Volume Concepts--Calculating Volume: Example 11
This is part of a collection of math examples that focus on volume. |
Volume | |
Math Example--Volume Concepts--Calculating Volume: Example 12 | Math Example--Volume Concepts--Calculating Volume: Example 12
This is part of a collection of math examples that focus on volume. |
Volume | |
Math Example--Volume Concepts--Calculating Volume: Example 13 | Math Example--Volume Concepts--Calculating Volume: Example 13
This is part of a collection of math examples that focus on volume. |
Volume | |
Math Example--Volume Concepts--Calculating Volume: Example 14 | Math Example--Volume Concepts--Calculating Volume: Example 14
This is part of a collection of math examples that focus on volume. |
Volume | |
Math Example--Volume Concepts--Calculating Volume: Example 15 | Math Example--Volume Concepts--Calculating Volume: Example 15
This is part of a collection of math examples that focus on volume. |
Volume | |
Math Example--Volume Concepts--Calculating Volume: Example 16 | Math Example--Volume Concepts--Calculating Volume: Example 16
This is part of a collection of math examples that focus on volume. |
Volume | |
Math Example--Volume Concepts--Calculating Volume: Example 17 | Math Example--Volume Concepts--Calculating Volume: Example 17
This is part of a collection of math examples that focus on volume. |
Volume | |
Math Example--Volume Concepts--Calculating Volume: Example 18 | Math Example--Volume Concepts--Calculating Volume: Example 18
This is part of a collection of math examples that focus on volume. |
Volume | |
Math Example--Volume Concepts--Calculating Volume: Example 19 | Math Example--Volume Concepts--Calculating Volume: Example 19
This is part of a collection of math examples that focus on volume. |
Volume | |
Math Example--Volume Concepts--Calculating Volume: Example 2 | Math Example--Volume Concepts--Calculating Volume: Example 2
This is part of a collection of math examples that focus on volume. |
Volume | |
Math Example--Volume Concepts--Calculating Volume: Example 20 | Math Example--Volume Concepts--Calculating Volume: Example 20
This is part of a collection of math examples that focus on volume. |
Volume | |
Math Example--Volume Concepts--Calculating Volume: Example 21 | Math Example--Volume Concepts--Calculating Volume: Example 21
This is part of a collection of math examples that focus on volume. |
Volume | |
Math Example--Volume Concepts--Calculating Volume: Example 22 | Math Example--Volume Concepts--Calculating Volume: Example 22
This is part of a collection of math examples that focus on volume. |
Volume |