Use the following Media4Math resources with this Illustrative Math lesson.
Thumbnail Image | Title | Body | Curriculum Topic |
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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: Algebra Applications: Linear Functions | Video Transcript: Algebra Applications: Linear Functions
Linear Expressions, Equations, and FunctionsLinear Expressions |
Applications of Linear Functions and Graphs of Linear Functions | |
Video Transcript: Algebra Applications: Linear Functions, Segment 1: Introduction | Video Transcript: Algebra Applications: Linear Functions, Segment 1: Introduction
Linear Expressions, Equations, and FunctionsLinear Expressions |
Applications of Linear Functions and Graphs of Linear Functions | |
Video Transcript: Algebra Applications: Linear Functions, Segment 2: Cycling | Video Transcript: Algebra Applications: Linear Functions, Segment 2: Cycling
Linear Expressions, Equations, and FunctionsLinear Expressions |
Applications of Linear Functions and Graphs of Linear Functions | |
Video Transcript: Algebra Applications: Linear Functions, Segment 3: Oil Exploration | Video Transcript: Algebra Applications: Linear Functions, Segment 3: Oil Exploration
Linear Expressions, Equations, and FunctionsLinear Expressio |
Applications of Linear Functions and Graphs of Linear Functions | |
Video Transcript: Algebra Applications: Linear Functions, Segment 4: Exercise | Video Transcript: Algebra Applications: Linear Functions, Segment 4: Exercise
Linear Expressions, Equations, and FunctionsLinear Expressions |
Applications of Linear Functions and Graphs of Linear Functions | |
Video Transcript: Algebra Nspirations: Functions and Relations, 2 | Video Transcript: Algebra Nspirations: Functions and Relations, Part 2
This is the transcript for the video of same title. Video contents: In this Investigation we look at functions. This is part of a collection of video transcript from the Algebra Nspirations 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. |
Applications of Functions and Relations and Relations and Functions | |
Video Transcript: Algebra Nspirations: Linear Functions | Video Transcript: Algebra Nspirations: Linear Functions
This is the transcript for the video of same title. Video contents: In this program, internationally acclaimed mathematics educator Dr. Monica Neagoy, explores the nature of linear functions through the use TI graphing calculators. Examples ranging from air travel, construction, engineering, and space travel provide real-world examples for discovering algebraic concepts. All examples are solved algebraically and then reinforced through the use of the TI-Nspire. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series. Concepts explored: Standard form, slope-intercept form, point-slope form, solving linear equations |
Applications of Linear Functions and Graphs of Linear Functions | |
Video Transcript: Algebra Nspirations: Linear Functions, 1 | Video Transcript: Algebra Nspirations: Linear Functions, Part 1
This is the transcript for the video of same title. Video contents: In this Investigation we look at linear models for objects moving at a constant speed. This is part of a collection of video transcript from the Algebra Nspirations 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. |
Applications of Linear Functions and Graphs of Linear Functions | |
Video Transcript: Algebra Nspirations: Linear Functions, 2 | Video Transcript: Algebra Nspirations: Linear Functions, Part 2
This is the transcript for the video of same title. Video contents: In this Investigation we look at a linear regression for carbon dioxide emission data. This is part of a collection of video transcript from the Algebra Nspirations 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. |
Applications of Linear Functions and Graphs of Linear Functions | |
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: 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: Multiple Representations of Functions | Video Tutorial: Multiple Representations of Functions
This video looks at multiple representations of functions, including symbolic, tabular, and graphic. Examples of linear, quadratic, polynomial, and exponential functions are shown. |
Relations and Functions | |
VIDEO: Algebra Applications: Linear Functions, Segment 2: Cycling | VIDEO: Algebra Applications: Linear Functions, Segment 2: Cycling
Linear Expressions, Equations, and FunctionsLinear Expressions |
Special Functions and Applications of Linear Functions | |
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. — 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: Algebra Applications: Linear Functions | VIDEO: Algebra Applications: Linear Functions
Linear Expressions, Equations, and FunctionsLinear Expressions |
Special Functions and Applications of Linear Functions | |
VIDEO: Algebra Applications: Linear Functions, 1 | VIDEO: Algebra Applications: Linear Functions, Segment 1: Introduction.
Linear Expressions, Equations, and FunctionsLinear Expressions |
Special Functions and Applications of Linear Functions | |
VIDEO: Algebra Applications: Linear Functions, 3 | VIDEO: Algebra Applications: Linear Functions, Segment 3: Oil Exploration.
Linear Expressions, Equations, and FunctionsLinear Expressions |
Special Functions and Applications of Linear Functions | |
VIDEO: Algebra Applications: Linear Functions, 4 | VIDEO: Algebra Applications: Linear Functions, Segment 4: Exercise.
Linear Expressions, Equations, and FunctionsLinear Expressions |
Special Functions and Applications of Linear Functions | |
VIDEO: Algebra Nspirations: Functions and Relations, 3 | VIDEO: Algebra Nspirations: Functions and Relations, Segment 3
In this Investigation we look at functions. This video is Segment 3 of a 4 segment series related to Functions and Relations. |
Applications of Functions and Relations, Relations and Functions and Geometric Constructions with Circles | |
VIDEO: Algebra Nspirations: Linear Functions, 1 | VIDEO: Algebra Nspirations: Linear Functions, Segment 1
In this Investigation we look at linear models for objects moving at a constant speed. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Linear Functions. |
Applications of Linear Functions | |
VIDEO: Algebra Nspirations: Linear Functions, 2 | VIDEO: Algebra Nspirations: Linear Functions, Segment 2
In this Math Lab we explore slope in the context of the steepness of staircases. This video is Segment 2 of a 4 segment series related to Algebra Nspirations: Linear Functions. |
Applications of Linear Functions | |
VIDEO: Algebra Nspirations: Linear Functions, 3 | VIDEO: Algebra Nspirations: Linear Functions, Segment 3
In this Investigation we look at a linear regression for carbon dioxide emission data. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Linear Functions. |
Applications of Linear Functions | |
VIDEO: Algebra Nspirations: Linear Functions, 4 | VIDEO: Algebra Nspirations: Linear Functions, Segment 4
In this Math Lab we explore a linear model through a data-gathering activity. This video is Segment 4 of a 4 segment series related to Algebra Nspirations: Linear Functions. |
Applications of Linear Functions | |
VIDEO: Geometry Applications: 3D Geometry | VIDEO: Geometry Applications: 3D Geometry
Topic3D Geometry |
3-Dimensional Figures and Applications of 3D Geometry | |
VIDEO: Geometry Applications: 3D Geometry, 1 | VIDEO: Geometry Applications: 3D Geometry, 1
Topic3D Geometry DescriptionThis segment introduces Platonic solids, including tetrahedron, cube, and dodecahedron, emphasizing their congruent edges, vertices, and angles. It connects these geometric figures to both natural and man-made structures, setting the stage for exploring 3D geometry applications. This video offers a comprehensive look at the mathematical concepts behind 3D Geometry. Students will gain insights into practical applications and theoretical understanding of the topic, enhancing their ability to visualize and apply these concepts. |
3-Dimensional Figures and Applications of 3D Geometry | |
VIDEO: Geometry Applications: 3D Geometry, 2 | VIDEO: Geometry Applications: 3D Geometry, 2
Topic3D Geometry DescriptionThis segment explores pyramids, particularly Mayan and Egyptian structures, to distinguish rectangular and square bases. It discusses the volume of truncated pyramids using proportional relationships and introduces the concept of tiered volume reduction through geometric sequences. This video offers a comprehensive look at the mathematical concepts behind 3D Geometry. Students will gain insights into practical applications and theoretical understanding of the topic, enhancing their ability to visualize and apply these concepts. |
3-Dimensional Figures, Pyramids and Applications of 3D Geometry | |
VIDEO: Geometry Applications: 3D Geometry, 3 | VIDEO: Geometry Applications: 3D Geometry, 3
Topic3D Geometry DescriptionThis segment examines cylinders, using the Shanghai Tower as a case study. It highlights how adjustments to height and radius affect volume and surface area, demonstrating these principles with geometric calculations and their architectural applications in energy efficiency. This video offers a comprehensive look at the mathematical concepts behind 3D Geometry. Students will gain insights into practical applications and theoretical understanding of the topic, enhancing their ability to visualize and apply these concepts. |
3-Dimensional Figures, Cylinders and Applications of 3D Geometry | |
VIDEO: Ti-Nspire Mini-Tutorial, Video 7 | VIDEO: TI-Nspire CX Mini-Tutorial: Graphs of Absolute Value Functions
In this Nspire CX tutorial absolute functions are graphed, including graphs centered at the origin, graphs displaced along the x-axis, and graphs displaced along the y-axis. Note: This video does not include audio. |
Special Functions | |
VIDEO: Ti-Nspire Mini-Tutorial, Video 10 | VIDEO: TI-Nspire CX Mini-Tutorial: Graphs of Quadratic Functions in Standard Form with Sliders
In this TI-Nspire CX tutorial learn how to graph quadratic functions in standard form using sliders for the values of a, b, and c. |
Graphs of Quadratic Functions | |
VIDEO: Ti-Nspire Mini-Tutorial, Video 11 | VIDEO: TI-Nspire CX Mini-Tutorial: Graphs of Quadratic Functions in Vertext Form with Sliders
In this TI-Nspire CX tutorial learn how to graph quadratic functions in vertex form using sliders for the values of h and k. |
Graphs of Quadratic Functions | |
VIDEO: Ti-Nspire Mini-Tutorial, Video 12 | VIDEO: TI-Nspire CX Mini-Tutorial: Linear Functions and Their Inverses
In this Nspire CX tutorial linear functions in slope-intercept form are graphed using sliders. Then the inverse functions are graphed. Their symmetry about the graph of y = x is explored. |
Functions and Their Inverses | |
VIDEO: Ti-Nspire Mini-Tutorial, Video 14 | VIDEO: TI-Nspire CX Mini-Tutorial: Parallel and Perpendicular Lines
In this TI-Nspire CX tutorial explore the properties of parallel and perpendicular lines. Use a slider to define the slope and then graph parallel and perpendicular lines linked to this slider. Note: This video does not contain audio. |
Parallel Lines and Perpendicular Lines |