Use the following Media4Math resources with this Illustrative Math lesson.
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Closed Captioned Video: Algebra Applications: Rational Functions, 2 | Closed Captioned Video: Algebra Applications: Rational Functions, Segment 2: Biology
All living things take up a certain amount of space, and therefore have volume. They also have a certain amount of surface area. The ratio of surface area to volume, which is a rational function, reveals important information about the organism. Students look at different graphs of these functions for different organisms. |
Rational Expressions and Rational Functions and Equations | |
Closed Captioned Video: Algebra Nspirations: Linear Functions | Closed Captioned Video: Algebra Nspirations: Linear Functions
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 | |
Closed Captioned Video: Algebra Nspirations: Linear Functions, 1 | Closed Captioned 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. Segments 1 and 2 are grouped together. |
Applications of Linear Functions | |
Closed Captioned Video: Algebra Nspirations: Linear Functions, 3 | Closed Captioned 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. Segments 3 and 4 are grouped together. |
Applications of Linear Functions | |
Closed Captioned Video: Geometry Applications--Pyramid Volume | Closed Captioned Video: Geometry Applications--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. |
Pyramids | |
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 | |
Closed Captioned Video: Geometry Applications: Area and Volume | Closed Captioned Video: Geometry Applications: Area and Volume
In this program we look at applications of area and volume. We do this in the context of three real-world applications. In the first, we look at the sinking of the Titanic in the context of volume and density. In the second application we look at the glass pyramid at the Louvre Museum and calculate its surface area. In the third application we look at the Citibank Tower in New York City to study the ratio of surface area to volume to learn about heat loss in tall buildings. |
Applications of Surface Area and Volume, Surface Area and Volume | |
Closed Captioned Video: Geometry Applications: Area and Volume, 1 | Closed Captioned Video: Geometry Applications: Area and Volume, Segment 1: Volume and Density.
The sinking of the Titanic provides an opportunity to explore volume, density, and buoyancy. Students construct a mathematical model of the Titanic to determine why it sank and what could have been done to prevent it from sinking. |
Applications of Surface Area and Volume, Surface Area and Volume | |
Closed Captioned Video: Geometry Applications: Area and Volume, 1 | Closed Captioned Video: Geometry Applications: Area and Volume, Segment 1: Volume and Density.
The sinking of the Titanic provides an opportunity to explore volume, density, and buoyancy. Students construct a mathematical model of the Titanic to determine why it sank and what could have been done to prevent it from sinking. |
Applications of Surface Area and Volume, Surface Area and Volume | |
Closed Captioned Video: Geometry Applications: Area and Volume, 2 | Closed Captioned Video: Geometry Applications: Area and Volume, Segment 2: Surface Area.
The glass-paneled pyramid at the Louvre Museum in Paris is a tessellation of rhombus-shaped glass panels. Students create a model of the pyramid to calculate the number of panels used to cover the surface area of the pyramid. |
Applications of Surface Area and Volume, Surface Area and Volume | |
Closed Captioned Video: Geometry Applications: Area and Volume, 3 | Closed Captioned Video: Geometry Applications: Area and Volume, Segment 3: Ratio of Surface Area to Volume.
The Citibank Tower in New York City presents some unique design challenges. In addition it has to cope with a problem that all tall structure have to deal with: heat loss. By managing the ratio of surface area to volume, a skyscraper can effective manage heat loss. |
Applications of Surface Area and Volume, Surface Area and Volume | |
Formulas--Volume of a Cube | Formulas--Volume of a Cube
The formula for the Volume of a Cube. 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 | |
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 | |
Formulas--Volume of a Rectangular Prism | Formulas--Volume of a Rectangular Prism
The formula for the Volume of a Recantular Prism. 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 | |
Formulas--Volume of a Sphere | Formulas--Volume of a Sphere
The formula for the Volume of a Sphere. 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 | |
Formulas--Volume of a Square Pyramid | Formulas--Volume of a Square Pyramid
The formula for the Volume of a Square Pyramid. 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 | |
Formulas--Volume of a Triangular Prism | Note: The download is a JPG file. Related ResourcesTo see the complete collection of Formulas, click on this link: https://media4math.com/math-formulas |
Volume | |
Formulas--Volume of a Triangular Pyramid | Volume of a Triangular Pyramid
Watch this video to learn about the volume of a pyramid. (The video transcript is also included.) Your browser does not support the video tag. Video Transcript Pyramids are majestic and a bit mysterious. Arising from deserts and jungles, they are grand in size and sleek in appearance. Mathematically, pyramids also have an air of mystery. Let’s take a closer look. Here is a cube of side s. Its volume couldn’t be more straightforward: s • s •s, or s-cubed. Its name, its shape, its volume are straightforward. |
Volume | |
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: The Geometry of Sustainable Architecture, Part 1 | Google Earth Voyager Story: The Geometry of Sustainable Architecture, Part 1TopicGeometric Models |
Applications of Surface Area and Volume and Rational Functions and Equations | |
Google Earth Voyager Story: The Geometry of Sustainable Architecture, Part 2 | Google Earth Voyager Story: The Geometry of Sustainable Architecture, Part 2TopicGeometric Models |
Surface Area, Volume and Rational Functions and Equations | |
Google Earth Voyager Story: The Mathematics of Pyramids, Part 1 | Google Earth Voyager Story: The Mathematics of Pyramids, Part 1TopicGeometric Models |
Pyramids | |
Google Earth Voyager Story: The Mathematics of Pyramids, Part 2 | Google Earth Voyager Story: The Mathematics of Pyramids, Part 2TopicGeometric Models |
Pyramids | |
INSTRUCTIONAL RESOURCE: Algebra Application: Creating an Exercise Chart | INSTRUCTIONAL RESOURCE: Algebra Application: Creating an Exercise Chart
In this Algebra Application, students develop a linear mathematical model based on the maximum heart rate during exercise based on age. Using this model, students investigate heart rate for moderate and vigorous workouts. The math topics covered include: Mathematical modeling, Linear functions, Families of functions, Computational thinking. The culminating activity is for students to create a simple program (using either a spreadsheet or a programming language like Python) to develop an exercise chart. This is a great back-to-school activity for middle school or high school students. A relevant real-world application allows them to review math concepts. |
Applications of Linear Functions and Slope-Intercept Form | |
INSTRUCTIONAL RESOURCE: Algebra Application: Linear Functions: Circumference vs. Diameter | INSTRUCTIONAL RESOURCE: Algebra Application: Linear Functions: Circumference vs. Diameter
In this Algebra Application, students study the direction between diameter and circumference of a circle. Through measurement and data gathering students analyze the line of best fit and explore ways of calculating pi. The math topics covered include: Mathematical modeling, Linear functions, Data gathering and analysis, Ratios, Direct variation. This is a great back-to-school activity for middle school or high school students. This is also a great crossover activity that ties algebra and geometry. |
Applications of Linear Functions, Applications of Ratios, Proportions, and Percents and Applications of Circles | |
Instructional Resource: Applications of Linear Functions: Circumference vs. Diameter | In this Slide Show, apply concepts of linear functions to the context of circumference vs. diameter. Note: The download is a PPT file. Related ResourcesTo see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN |
Applications of Linear Functions | |
Instructional Resource: Applications of Linear Functions: Cost vs. Time | In this Slide Show, apply concepts of linear functions to the context of cost vs. time data and graphs. Note: The download is a PPT file. Related ResourcesTo see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN |
Applications of Linear Functions | |
Instructional Resource: Applications of Linear Functions: Cricket Chirps | In this Slide Show, apply concepts of linear functions to the context of cricket chirps. Note: The download is a PPT file. Related ResourcesTo see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN |
Applications of Linear Functions | |
Instructional Resource: Applications of Linear Functions: Distance vs. Time | In this Slide Show, apply concepts of linear functions to the context of distance vs. time data and graphs. Note: The download is a PPT file. Related ResourcesTo see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN |
Applications of Linear Functions | |
Instructional Resource: Applications of Linear Functions: Hooke's Law | In this Slide Show, apply concepts of linear functions to the context of Hooke's law. Note: The download is a PPT file. Related ResourcesTo see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN |
Applications of Linear Functions and Proportions | |
Instructional Resource: Applications of Linear Functions: Momentum and Impulse | In this Slide Show, apply concepts of linear functions to the context of momentum and impulse. Note: The download is a PPT file. Related ResourcesTo see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN |
Applications of Linear Functions | |
Instructional Resource: Applications of Linear Functions: Perimeter of a Rectangle | In this Slide Show, apply concepts of linear functions to the context of rectangular perimeter. Note: The download is a PPT file. Related ResourcesTo see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN |
Applications of Linear Functions | |
Instructional Resource: Applications of Linear Functions: Saving Money | In this Slide Show, apply concepts of linear functions to the context of saving money. Note: The download is a PPT file. Related ResourcesTo see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN |
Applications of Linear Functions | |
Instructional Resource: Applications of Linear Functions: Speed and acceleration | In this Slide Show, apply concepts of linear functions to the context of speed and acceleration. Note: The download is a PPT file. Related ResourcesTo see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN |
Applications of Linear Functions | |
Instructional Resource: Applications of Linear Functions: Temperature Conversion | In this Slide Show, apply concepts of linear functions to the context of converting Celsius and Fahrenheit temperatures. Note: The download is a PPT file. Related ResourcesTo see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN |
Applications of Linear Functions | |
INSTRUCTIONAL RESOURCE: Desmos Tutorial: Matching Coordinates to Absolute Value Functions | INSTRUCTIONAL RESOURCE: Desmos Tutorial: Matching Coordinates to Absolute Value Functions
In this Slide Show, use the Desmos graphing calculator to explore absolute value functions. To see the complete collection of Desmos Resources click on this link. Note: The download is a PPT file. This is part of a collection of Desmos tutorials on a variety of math topics. To see the complete collection of these resources, click on this link.Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Special Functions | |
INSTRUCTIONAL RESOURCE: Desmos Tutorial: Matching Coordinates to Linear Functions | INSTRUCTIONAL RESOURCE: Desmos Tutorial: Matching Coordinates to Linear Functions
In this Slide Show, use the Desmos graphing calculator to explore linear functions. To see the complete collection of Desmos Resources click on this link. Note: The download is a PPT file. This is part of a collection of Desmos tutorials on a variety of math topics. To see the complete collection of these resources, click on this link.Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Applications of Linear Functions | |
INSTRUCTIONAL RESOURCE: Tutorial: Graphing Linear Functions | INSTRUCTIONAL RESOURCE: Tutorial: Graphing Linear Functions
In this Slide Show, learn about graphs of linear functions. This is part of a collection of tutorials on 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. |
Applications of Linear Functions | |
INSTRUCTIONAL RESOURCE: Tutorial: Linear Function Models | INSTRUCTIONAL RESOURCE: Tutorial: Linear Function Models
In this Slide Show, learn about linear function models. This is part of a collection of tutorials on 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. |
Applications of Linear Functions | |
INSTRUCTIONAL RESOURCE: Math Examples 12 | INSTRUCTIONAL RESOURCE: Math Examples--Equations of Parallel and Perpendicular Lines
The complete set of 32 examples that make up this set of tutorials. 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. |
Applications of Linear Functions and Graphs of Linear Functions | |
INSTRUCTIONAL RESOURCE: Math Examples 35 | INSTRUCTIONAL RESOURCE: Math Examples--Parallel and Perpendicular Lines
This set of tutorials provides 32examples that involve finding the equation of a line parallel or perpendicular to a given line and through a given point. 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. |
Applications of Linear Functions and Graphs of Linear Functions | |
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 | |
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Absolute Value Functions | In this Slide Show, absolute value functions are graphed, including graphs centered at the origin, graphs displaced along the x-axis, and graphs displaced along the y-axis. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT. |
Special Functions | |
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Inequalities | In this Slide Show, the Graph Window is used to graph linear inequalities. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT. |
Inequalities and Applications of Linear Functions | |
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Inequalities with Sliders | In this Slide Show, the Graph Window is used to graph inequalities using sliders. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT. |
Inequalities and Applications of Linear Functions | |
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Linear Functions | In this Slide Show, linear functions are graphed. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT. |
Applications of Linear Functions | |
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Parallel and Perpendicular Lines | In this Slide Show, 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. |
Parallel Lines and Perpendicular Lines |