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Promethean Flipchart: Algebra Applications: Accident Investigation 

Applications of Quadratic Functions  
Promethean Flipchart: Algebra Applications: Oil Drilling 
The potential for oil exploration in the controversial Alaska National Wildlife Refuge (ANWR) sets the scene for this problem. A linear regression of oil consumption data over the past 25 years reveals an interesting pattern. How could new oil fields like ANWR help in breaking our dependence on foreign oil? Note: The download for this resources is the Promethean Flipchart. To access the full video [Algebra Applications: Linear Functions, Segment 3: Oil Exploration]: https://www.media4math.com/library/videoalgebraapplicationslinearfunctionssegment3oilexploration A video transcript is available for this video [Algebra Applications: Linear Functions, Segment 3: Oil Exploration]: https://www.media4math.com/library/videotranscriptalgebraapplicationslinearfunctionssegment3oilexploration 
Applications of Linear Functions  
Promethean Flipchart: Geometry Applications: Area And Volume 3 
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. Note: The download for this resources is the Promethean Flipchart. To access the full video [Geometry Applications: Area and Volume, Segment 3: Ratio of Surface Area to Volume]: https://www.media4math.com/library/geometryapplicationsareaandvolumesegment3ratiosurfaceareavolume This video includes a video transcript: https://media4math.com/library/videotranscriptgeometryapplicationsareaandvolumesegment3ratiosurfaceareavolume 
Applications of Surface Area and Volume  
Promethean Flipchart: Geometry Applications: Transformations 3 
The Gemini telescope in Hawaii is an example of architecture that moves. All observatories rotate in order to follow objects in the sky. This also provides an opportunity to explore rotations, reflections, and symmetry. Note: The download for this resources is the Promethean Flipchart. The full video [Geometry Applications: Transformations, Segment 3: Rotations, Reflections, and Symmetry] can be found here: https://media4math.com/library/geometryapplicationstransformationssegment3rotationsreflectionsandsymmetry This video includes a Video Transcript: https://www.media4math.com/library/videotranscriptgeometryapplicationstransformationssegment3rotationsreflectionsand 
Applications of Transformations  
Promethean Flipchart: Algebra Applications: Ballistic Missiles 
A ballistic missile shield allows you to shoot incoming missiles out of the sky. Mathematically, this is an example of a linearquadratic system. Students graph such a system and find the points of intersection between a line and a parabola. Note: The download for this resources is the Promethean Flipchart. To access the full video [Algebra Applications: Systems of Equations, Segment 3: Ballistic Missiles]: https://www.media4math.com/library/algebraapplicationssystemsequationssegment3ballisticmissiles This video includes a Video Transcript [Video Transcript: Algebra Applications: Systems of Equations, Segment 3: Ballistic Missiles]: https://www.media4math.com/library/videotranscriptalgebraapplicationssystemsequationssegment3ballisticmissiles 
Applications of Linear Systems  
Promethean Flipchart: Algebra Applications: Profit and Loss 
Profit and loss are the key measures in a business. A system of equations that includes an equation for income and one for expenses can be used to determine profit and loss. Students solve a system graphically. Note: The download for this resources is the Promethean Flipchart. To access the full video [Algebra Applications: Systems of Equations, Segment 1: Profit and Loss]: https://www.media4math.com/library/algebraapplicationssystemsequationssegment1profitandloss This video includes a Video Transcript [Algebra Applications: Systems of Equations, Segment 1: Profit and Loss]: https://www.media4math.com/library/videotranscriptalgebraapplicationssystemsequationssegment1profitandloss 
Applications of Linear Systems  
Promethean Flipchart: Geometry Applications: Circles 1 
The Roman Coliseum is a large elliptical structure. Yet, the Romans likely used circular arcs to build it. This segment explores the properties of circles and shows how arcs can be used to create elliptical shapes. Note: The download for this resources is the Promethean Flipchart. To access the full video [Geometry Applications: Circles, Segment 2: Circles and Arcs]: https://www.media4math.com/library/geometryapplicationscirclessegment2circlesandarcs This video includes a video transcript: https://media4math.com/library/videotranscriptgeometryapplicationscirclessegment2circlesandarcs 
Applications of Circles  
Promethean Flipchart: Geometry Applications: Triangles 
The Eiffel Tower includes quite a number of exposed triangular trusses. The properties of triangles are used to explore and explain the frequent use of triangular trusses in many building. In particular, isosceles and equilateral triangular trusses are explored. In addition triangle postulates and similarity are explored and analyzed. Note: The download for this resources is the Promethean Flipchart. This video includes a video transcript: https://media4math.com/library/videotranscriptgeometryapplicationstriangles To view the video Geometry Applications: Triangles: https://www.media4math.com/library/geometryapplicationstriangles 
Applications of Triangles  
Promethean Flipchart: Algebra Applications: 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. Note: The download for this resources is the Promethean Flipchart. To view the full video [Algebra Applications: Rational Functions, Segment 2: Biology]: https://www.media4math.com/library/algebraapplicationsrationalfunctionssegment2biology This video includes a Video Transcript: [Video Transcript: Algebra Applications: Rational Functions, Segment 2: Biolog]: https://www.media4math.com/library/videotranscriptalgebraapplicationsrationalfunctionssegment2biology 
Rational Functions and Equations  
Promethean Flipchart: Algebra Applications: River Ratios 
Why do rivers meander instead of traveling in a straight line? In going from point A to point B, why should a river take the circuitous route it does instead of a direct path? Furthermore, what information can the ratio of the river’s length to its straightline distance tell us? In this segment the geological forces that account for a river’s motion are explained. In the process, the socalled Meander Ratio is explored. Students construct a mathematical model of a meandering river using the TINspire. Having built the model, students then use it to generate data to find the average of many Meander Ratios. The results show that on average the Meander Ratio is equal to a factor of pi. Note: The download for this resources is the Promethean Flipchart. To view the full video [Algebra Applications: Variables and Equations, Segment 3: River Ratios]: https://www.media4math.com/library/algebraapplicationsvariablesandequationssegment3riverratios A video transcript is available for this video [Algebra Applications: Variables and Equations, Segment 3: River Ratios]: https://www.media4math.com/library/videotranscriptalgebraapplicationsvariablesandequationssegment3riverratios 
Applications of Equations and Inequalities  
Promethean Flipchart: Geometry Applications: Circles 2 
The Roman Pantheon is a domed structure that shows a keen awareness of the position of the sun throughout the year. The source of light from the top of the dome allows for the exploration of chords, inscribed angles, central angles, and intercepted arcs. Note: The download for this resources is the Promethean Flipchart. To access the full video [Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles]: https://media4math.com/library/geometryapplicationscirclessegment3chordsandinscribedangles This video includes a Video Transcript: https://www.media4math.com/library/videotranscriptgeometryapplicationscirclessegment3chordsandinscribedangles 
Applications of Circles  
Promethean Flipchart: Algebra Jeopardy 

Applications of Equations and Inequalities  
Promethean Flipchart: Algebra Applications: Childhood Growth And Development 

Applications of Quadratic Functions  
Promethean Flipchart: Algebra Applications: Space Travel 1 
Scientists use conic sections to map the trajectories of spacecraft in flight. The setting for this episode is a planned future flight to Mars. As the ship travels from Earth to Mars, parabolic, circular, and elliptical paths are explored. In the process students will learn the difference between a quadratic relation and a quadratic function. T he liftoff and preorbital path of the rocket is described by a parabola. Students explore the properties of parabolas from the standpoint of the parametric equations that describe the horizontal and vertical directions of motion for the rocket. Note: The download for this resources is the Promethean Flipchart. To access the full video [Algebra Applications: Functions and Relations, Segment 2: Parabolic Paths]: https://www.media4math.com/library/algebraapplicationsfunctionsandrelationssegment2parabolicpaths This video includes a video transcript [Video Transcript: Algebra Applications: Functions and Relations, Segment 2: Parabolic Paths]: https://www.media4math.com/library/videotranscriptalgebraapplicationsfunctionsandrelationssegment2parabolicpaths 
Applications of Functions and Relations  
Promethean Flipchart: Geometry Applications: Coordinate Geometry 1 
Greenwich, England, is the location of the Prime Meridian and offers a point of departure for a discussion of the longitude and latitude coordinate system. Note: The download for this resources is the Promethean Flipchart. To access the full video : https://media4math.com/library/geometryapplicationscoordinategeometrysegment1longitudeandlatitude This video includes a Video Transcript: https://www.media4math.com/library/videotranscriptgeometryapplicationscoordinategeometrysegment1longitudeandlatitude 
Applications of Coordinate Geometry  
Promethean Flipchart: Algebra Nspirations: Data Analysis 
What are the two meanings of statistics? What does it really mean that an event has a 50% probability of occurring? Why are data analysis and probability always taught together? Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video answers these questions and addresses fundamental concepts such as the law of large numbers and the notion of regression analysis. Both engaging investigations are based on true stories and real data, utilize different Nspire applications, and model the seamless connection among various problem representations. Concepts explored: statistics, data analysis, regression analysis Note: The download for this resources is the Promethean Flipchart. To access the full video [Algebra Nspirations: Data Analysis and Probability]: https://www.media4math.com/library/algebranspirationsdataanalysisandprobability This video includes a Video Transcript [Video Transcript: Algebra Nspirations: Data Analysis and Probability]: https://www.media4math.com/library/videotranscriptalgebranspirationsdataanalysisandprobability 
Data Analysis  
Promethean Flipchart: Algebra Applications: Cycling 
The relationship between slope and grade in cycling is explored. Go on a tour of Italy through the mountains of Tuscany and apply students' understanding of slope. Note: The download for this resources is the Promethean Flipchart. To access the full video: [Algebra Applications: Linear Functions, Segment 2: Cycling]: https://www.media4math.com/library/videoalgebraapplicationslinearfunctionssegment2cycling This video includes a Video Transcript: [Algebra Applications: Linear Functions, Segment 2: Cycling]: https://www.media4math.com/library/videotranscriptalgebraapplicationslinearfunctionssegment2cycling 
Applications of Linear Functions  
Promethean Flipchart: Algebra Applications: Space Travel 2 
The path of a rocket orbiting the Earth can be modeled with the equation of a circle. Students explore the quadratic relation and the parametric equations that can be used to model the path of a spacecraft orbiting Earth. Note: The download for this resources is the Promethean Flipchart. To access the full video [Algebra Applications: Functions and Relations, Segment 3: Circular Paths]: https://www.media4math.com/library/algebraapplicationsfunctionsandrelationssegment3circularpaths This video includes a video transcript [Video Transcript: Algebra Applications: Functions and Relations, Segment 3: Circular Paths]: https://www.media4math.com/library/videotranscriptalgebraapplicationsfunctionsandrelationssegment3circularpaths 
Applications of Functions and Relations  
Promethean Flipchart: Geometry Applications: Coordinate Geometry 2 
Centuries ago a Spanish galleon, The Atocha, sank off the coast of Florida, taking its gold treasure down with it. Aside from the technology used to recover the treasure, it was a rectangular coordinate system that made such an endeavor possible. Note: The download for this resources is the Promethean Flipchart. To access the full video [Geometry Applications: Coordinate Geometry, Segment 2: Rectangular Coordinates]: https://media4math.com/library/geometryapplicationscoordinategeometrysegment2rectangularcoordinates This video includes a Video Transcript: https://www.media4math.com/library/videotranscriptgeometryapplicationscoordinategeometrysegment2rectangular 
Applications of Coordinate Geometry  
Promethean Flipchart: Algebra Nspirations: Exponential Functions 
Almost everyone has an intuitive understanding that exponential growth means rapid growth. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video builds on students’ intuitive notions, explores exponential notation, and analyzes properties of exponential function graphs, with the help of TINspire features such as sliders and graph transformations. Using exponential functions to model finance applications and a Newton’s law of cooling problem further help students build a solid foundation for these fundamental algebraic concepts. Concepts explored: functions, exponents, exponential functions Note: The download for this resources is the Promethean Flipchart. To access the full video [Algebra Nspirations: Exponents and Exponential Functions]: https://www.media4math.com/library/algebranspirationsexponentsandexponentialfunctions This video includes a Video Transcript [Video Transcript: Algebra Nspirations: Exponents and Exponential Functions]: https://www.media4math.com/library/videotranscriptalgebranspirationsexponentsandexponentialfunctions 
Applications of Exponential and Logarithmic Functions  
Promethean Flipchart: Algebra Applications: Earthquakes 1 
This video focuses on the Sichuan earthquake in China in 2008. This segment introduces the key concepts developed in the video. The basic definition of an exponential function is shown in the intensity function for an earthquake. Students analyze data and perform an exponential regression based on data from the Sichuan earthquake. Note: The download for this resources is the Promethean Flipchart. To view the full video [Algebra Applications: Exponential Functions, Segment 2: What Is an Earthquake?]: https://www.media4math.com/library/algebraapplicationsexponentialfunctionssegment2whatearthquake This video includes a Video Transcript: [Video Transcript: Algebra Applications: Exponential Functions, Segment 2: What Is an Earthquake?]: https://www.media4math.com/library/videotranscriptalgebraapplicationsexponentialfunctionssegment2whatearthquake 
Applications of Exponential and Logarithmic Functions  
Promethean Flipchart: Algebra Applications: Space Travel 3 
The planets orbiting the sun follow elliptical paths. In fact, the trajectory of a spacecraft traveling to Mars would also be elliptical. Students explore these various ellipses. Note: The download for this resources is the Promethean Flipchart. This video includes a video transcript [Video Transcript: Algebra Applications: Functions and Relations, Segment 4: Elliptical Paths]: https://www.media4math.com/library/videotranscriptalgebraapplicationsfunctionsandrelationssegment4ellipticalpaths To access the full video [Algebra Applications: Functions and Relations, Segment 4: Elliptical Paths]: https://www.media4math.com/library/algebraapplicationsfunctionsandrelationssegment4ellipticalpaths 
Applications of Functions and Relations  
Promethean Flipchart: Geometry Applications: Coordinate Geometry 3 
The Guggenheim Museum in New York City has a spiral shape that is an example of a polar coordinate graph. This shape, found often in nature, is a way to understand the Fibonacci Sequence. Note: The download for this resources is the Promethean Flipchart. To access the full video [Geometry Applications: Coordinate Geometry, Segment 3: Polar Coordinates]: https://media4math.com/library/geometryapplicationscoordinategeometrysegment3polarcoordinates This video [Geometry Applications: Coordinate Geometry, Segment 3: Polar Coordinates] includes a Video Transcript: https://www.media4math.com/library/videotranscriptgeometryapplicationscoordinategeometrysegment3polarcoordinates 
Applications of Coordinate Geometry  
Promethean Flipchart: Algebra Nspirations: Functions and Relations 
Functions are relationships between quantities that change. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video explores the definition of a function, its vocabulary and notations, and distinguishes the concept of function from a general relation. Multiple representations of functions are provided using the TINspire, while dynamic visuals and scenarios put them into realworld contexts. Concepts explored: functions, relations, equations, quadratic functions, linear functions, multiple representations Note: The download for this resources is the Promethean Flipchart. This video includes a Video Transcript: https://www.media4math.com/library/videotranscriptalgebranspirationsfunctionsandrelations This video includes a Teacher's Guide: https://www.media4math.com/library/algebranspirationsteachersguidefunctionsandrelations To view the video: Algebra Nspirations: Functions and Relations: https://www.media4math.com/library/algebranspirationsfunctionsandrelations 
Applications of Functions and Relations  
Promethean Flipchart: Algebra Applications: Earthquakes 2 
An exponential model describes the intensity of an earthquake, while a logarithmic model describes the magnitude of an earthquake. In the process students learn about the inverse of an exponential function. Note: The download for this resources is the Promethean Flipchart. To view the full video [Algebra Applications: Exponential Functions, Segment 3: What Is the Difference between Earthquake Intensity and Magnitude?]: https://www.media4math.com/library/algebraapplicationsexponentialfunctionssegment3whatdifferencebetweenearthquake This video includes a Video Transcript: [Video Transcript: Algebra Applications: Exponential Functions, Segment 3: What Is the Difference between Earthquake Intensity and Magnitude?]: https://www.media4math.com/library/videotranscriptalgebraapplicationsexponentialfunctionssegment3whatdifference 
Applications of Exponential and Logarithmic Functions 