Use the following Media4Math resources with this Illustrative Math lesson.
Thumbnail Image | Title | Body | Curriculum Topic |
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Video Transcript: Geometry Applications--Volume of a Pyramid | Video Transcript: Geometry Applications--Volume of a Pyramid
This is the transcript for video entitled: "Geometry Applications--Volume of a Pyramid." 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. Video LibraryTo see the complete collection of videos in the Video Library, click on this link. |
Pyramids | |
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: 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 Applications: Rational Functions, 1 | VIDEO: Algebra Applications: Rational Functions, 1
TopicRational Functions DescriptionExplains submarine pressure and volume relationships using rational functions, illustrating depth impacts on vessel integrity and scuba safety. Relevance: This video provides a practical perspective on Rational Functions, making abstract concepts more accessible through real-world applications. |
Rational Expressions and Rational Functions and Equations | |
VIDEO: Algebra Applications: Rational Functions, 2 | VIDEO: Algebra Applications: Rational Functions, 2
TopicRational Functions DescriptionExamines surface area to volume ratios in animals using rational functions, connecting these ratios to evolutionary adaptations in different climates. Relevance: This video provides a practical perspective on Rational Functions, making abstract concepts more accessible through real-world applications. |
Rational Expressions and Rational Functions and Equations | |
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: Geometry Applications: 3D Geometry, Pyramid Volume | VIDEO: Geometry Applications: 3D Geometry, Pyramid Volume
In this video, students see a derivation of the formula for the volume of a pyramid. This involves a hands-on activity using unit cubes, along with analysis, and a detailed algebraic derivation. — 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. |
Pyramids | |
VIDEO: Geometry Applications: Area and Volume | VIDEO: Geometry Applications: Area and Volume
TopicArea and Volume |
Applications of Surface Area and Volume, Surface Area and Volume | |
VIDEO: Geometry Applications: Area and Volume, 1 | VIDEO: Geometry Applications: Area and Volume, 1
TopicArea and Volume DescriptionThis segment explores the concept of density, using the Titanic to demonstrate buoyancy and the relationship between mass and volume. It introduces direct variation, rational functions, and how these principles apply to ship design for optimal floating capacity. |
Applications of Surface Area and Volume, Surface Area and Volume | |
VIDEO: Geometry Applications: Area and Volume, 1 | VIDEO: Geometry Applications: Area and Volume, 1
TopicArea and Volume DescriptionThis segment explores the concept of density, using the Titanic to demonstrate buoyancy and the relationship between mass and volume. It introduces direct variation, rational functions, and how these principles apply to ship design for optimal floating capacity. |
Applications of Surface Area and Volume, Surface Area and Volume | |
VIDEO: Geometry Applications: Area and Volume, 2 | VIDEO: Geometry Applications: Area and Volume, 2
TopicArea and Volume DescriptionThis segment focuses on surface area, using the Louvre Pyramid to highlight geometric tessellations and triangular net calculations. It explains the surface area formula for pyramids and how these calculations are applied in architectural design and material efficiency. |
Applications of Surface Area and Volume, Surface Area and Volume | |
VIDEO: Geometry Applications: Area and Volume, 3 | VIDEO: Geometry Applications: Area and Volume, 3
TopicArea and Volume DescriptionThis segment explores the surface area-to-volume ratio using the Citigroup Building as an example. It discusses how this ratio impacts energy efficiency in buildings and compares it to natural examples like polar bears and snakes for context. |
Applications of Surface Area and Volume, Surface Area and Volume | |
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 | |
Worksheet: Crossword Puzzle--Parallel and Perpendicular Lines | Worksheet: Crossword Puzzle--Parallel and Perpendicular Lines
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. |
Parallel Lines and Perpendicular Lines | |
Worksheet: TI-Nspire Mini-Tutorial: Exploring the Slope-Intercept form Using Sliders | Worksheet: TI-Nspire Mini-Tutorial: Exploring the Slope-Intercept form Using Sliders
This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity. 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. |
Slope-Intercept Form | |
Worksheet: TI-Nspire Mini-Tutorial: Exploring the Slope-Intercept form Using Sliders | Worksheet: TI-Nspire Mini-Tutorial: Exploring the Slope-Intercept form Using Sliders
This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity. 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. |
Slope-Intercept Form | |
Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Function | Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Function
This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity. 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. |
Graphs of Linear Functions | |
Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Function | Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Function
This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity. 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. |
Graphs of Linear Functions | |
Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality | Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality
This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity. 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. |
Inequalities | |
Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality | Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality
This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity. 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. |
Inequalities | |
Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Using Sliders | Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Using Sliders
This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity. 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. |
Inequalities | |
Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Using Sliders | Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Using Sliders
This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity. 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. |
Inequalities |