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Promethean Flipcharts for Geometry: Points

Lean about the geometry of points in the context of physics. What is the relationship between subatomic particles and geometric points? How can geometry help us understand subatomic physics?

Geometry concepts: points, collinear points

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Promethean Flipchart for Geometry: Points

Promethean Flipcharts for Geometry: Lines

Visit Houston, Texas, and learn why city grids are laid in a rectangular pattern. Why do such grids rely on parallel and perpendicular lines? Why is this the most efficient way of organizing a city? Why is it the most fuel efficient? How can the geometry of lines help with city planning?

Geometry concepts: lines, parallel lines, perpendicular lines

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Promethean Flipchart for Geometry: Lines

Promethean Flipcharts for Geometry: Angles

Visit Himeji Castle in Japan and learn why castles and other fortifications are built the way they are and how they take advantage of the properties of angles. When constructing a building for defensive purposes, knowing the properties of angles is important.

Geometry concepts: angles, acute angles, obtuse angles, sum of the interior angles

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Promethean Flipchart for Geometry: Angles

Promethean Flipcharts for Geometry: Planes

Investigate fossils and the geology of sedimentary rocks. In the process you will learn a great deal about parallel and intersecting planes. The Burgess Shale fossils in Canada provide a real-world application.

Geometry concepts: Planes, parallel planes, perpendicular planes

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Promethean Flipchart for Geometry: Planes

Promethean Flipcharts for Geometry: Triangles

Why does the Eiffel Tower have so many triangular shapes? In this Flipchart, use the properties of triangles to better understand the architecture of one of the world's most famous landmarks.

Geometry concepts: triangles, properties of triangles

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Promethean Flipchart for Geometry: Triangles

Promethean Flipcharts for Geometry: Right Triangles

Learn about sailing at the same time that you apply your knowledge of right triangles. In this Flipchart students will also learn about the area of a triangle and right triangle trig ratios.

Geometry concepts: right triangles, properties of right triangles

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Promethean Flipchart for Geometry: Right Triangles

Promethean Flipcharts for Geometry: Squares and Rectangles

Learn about Frank Lloyd Wright's architecture and apply the concepts of squares and rectangles.

Geometry concepts: properties of quadrilaterals, squares, rectangles

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Promethean Flipchart for Geometry: Squares and Rectangles

Promethean Flipcharts for Geometry: Parallelograms and Trapezoids

Visit Madrid, Spain, and explore the Puerta de Europa Towers, two slanted, paralleogram-shaped towers. Learn how center of gravity and its relationship to its parallelogram design play a role in the architecture of this building.

Geometry concepts: Properties of quadrilaterals, parallelograms, trapezoids

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Promethean Flipchart for Geometry: Parallelograms and Trapezoids

Promethean Flipcharts for Geometry: Polygons

Visit the ancient city of Marrakesh and learn how Islamic artesans created elaborate tile patterns using the properties of polygons.

Geometry concepts: polygons, regular hexagons

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Promethean Flipchart for Geometry: Regular Polygons

Promethean Flipcharts for Geometry: Composite Figures

The Petronas Towers in Kuala Lumpur provide an ideal application of composite figures. Students analyze the composite shapes in the building's design.

Geometry concepts: properties of composite figures

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Promethean Flipchart for Geometry: Composite Figures

Promethean Flipcharts for Geometry: Circles 1

Visit the Roman Coliseum to see circles at work. Even though the Coliseum itself is in the shape of an oval, the properties of circles are crucial to understanding how it was built.

Geometry concepts: circles, arcs

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Promethean Flipchart for Geometry: Circles 1

Promethean Flipcharts for Geometry: Circles 2

Domed buildings have often been a way to study the stars. The Roman Pantheon was built to align with the sun in such a way that on key times of the year, a stunning solar display within the Pantheon could be seen. The properties of inscribed angles and intercepted arcs are key to understanding how the Pantheon was built.

Geometry concepts: arc lengths, inscribed angles

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Promethean Flipchart for Geometry: Circles 2

Promethean Flipcharts for Geometry: Rectangular Prisms

Mayan pyramids can be studied as stacks of rectangular prisms. In fact, the change in volume from the first tier to the last can be summarized with a geometric sequence. Students analyze this sequence and calculate the series.

Geometry concepts: three-dimensional figures, rectangular prisms

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Promethean Flipchart for Geometry: Rectangular Prisms

Promethean Flipcharts for Geometry: Cylinders

The Shanghai Tower in China provides an opportunity to study cylinders in depth. Not only is the interior of the tower a stack of cylinders, the change in surface area from the first tier to the last can be generated by a geometric sequence. Students analyze the sequence and calculate the series.

Geometry concepts: properties of three-dimensional figures, cylinders

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Promethean Flipchart for Geometry: Cylinders

Promethean Flipcharts for Geometry: Volume and Density

Why did the Titanic sink? How does this relate to volume and density? In this video-based Flipchart, students construct a mathematical model for the Titanic's ability to stay afloat. Through their analysis students see why the Titanic sank and how close it came to surviving the disaster.

Geometry concepts: volume, density

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Promethean Flipchart for Geometry: Volume and Density

Promethean Flipcharts for Geometry: Surface Area

The glass pyramid at the Louvre Museum provides an opportunity to explore surface area, similar figures, tessellations, rhombuses, and triangles. Students calculate the number of quadrilateral-shaped glass panels to cover the pyramid shape.

Geometry concepts: surface area, pyramids

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Promethean Flipchart for Geometry: Surface Area

Promethean Flipcharts for Geometry: Surface Area and Volume

The Citibank Tower in New York City has to content with heat loss, due to its large surface area. However, by analyzing the ratio of its surface area to volume, it is possible to come up with an energy-efficient building.

Geometry concepts: the ratio of surface area to volume

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Promethean Flipchart for Geometry: Surface Area and Volume

Promethean Flipcharts for Geometry: Longitude and Latitude

Learn the history of the development of the longitude and lattitude scale and how this coordinate system still is an important system.

Geometry concepts: Longitude, latitude, coordinate systems

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Promethean Flipchart for Geometry: Latitude

Promethean Flipcharts for Geometry: Rectangular Coordinates

Among treasure hunters off the coast of Florida, the quest for the gold from the Atocha remained long elusive. Learn how rectangular coordinates were a key part of isolating and locating the treasure.

Geometry concepts: Coordinate systems, rectangular coordinate system

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Promethean Flipchart for Geometry: Rectangular Coordinates

Promethean Flipcharts for Geometry: Polar Coordinates

The Guggenheim Museum in New York City is itself an artistic treasure. Its innovative design is best understood as an application of polar coordinates.

Geometry concepts: Coordinate systems, polar coordinates

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Promethean Flipchart for Geometry: Polar Coordinates

Promethean Flipcharts for Geometry: Transformations

Roller coasters are ideal examples of geometric translations and rotations. See how a roller coaster ride can be a great application of geometry!

Geometry concepts: transformations, translations, rotations

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Promethean Flipchart for Geometry: Transformations

Promethean Flipcharts for Geometry: 3D Translations

The use of logistics in the field of shipping involves managing a great deal of data. This is also an application of translations in three dimensions.

Geometry concepts: Translations in three dimensions

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Promethean Flipchart for Geometry: 3D Translations

Promethean Flipcharts for Geometry: Rotations, Reflections, and Symmetry

Visit the Gemini Observatory in Hawaii to learn how these structures take advantage of point, line, and rotational symmetry.

Geometry concepts: Rotations, reflections, symmetry

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Promethean Flipchart for Geometry: Rotations, Reflectionsn, and Symmetry

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Promethean Flipchart Library for Algebra: 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.

Algebra concepts: slope, slope formula, slope-intercept form

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Promethean Flipchart for Algebra: Cycling

Promethean Flipchart Library for Algebra: Drilling for Oil

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?

Algebra concepts: linear functions, linear regression

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Promethean Flipchart for Algebra: Drilling for Oil

Promethean Flipchart Library for Algebra: Health and Fitness

Exercise needs to become a consistent part of everyone's lifestyle. In particular, aerobic exercises, which vigorously exerts the heart, is an important form of exercise. The maximum heart rate from aerobic exercise is a linear function dependent on age. Students are asked to develop a data table based on the function.

Algebra concepts: linear functions

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Promethean Flipchart for Algebra: Health and Fitness

Promethean Flipchart Library for Algebra: Fireworks Displays

Fireworks displays are elegant examples of quadratic function. In this segment the basics of quadratic functions in standard form are developed visually and students are guided through the planning of a fireworks display.

Algebra concepts: quadratic functions

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Promethean Flipchart for Algebra: Fireworks Displays

Promethean Flipchart Library for Algebra: Accident Investigation

The distance a car travels even after the brakes are applied can be described through a quadratic function. But there is also the reaction time, the split second before the brakes are applied. The total distance is known as the stopping distance and this segment analyzes the quadratic equation that can be used by accident investigators.

Algebra concepts: quadratic equations

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Promethean Flipchart for Algebra: Accident Investigation

Promethean Flipchart Library for Algebra: Childhood Growth and Development

From the time a baby is born to the time it reaches 36 months of age, there is dramatic growth in height and weight. An analysis of CDC data reveals a number of quadratic models that doctors can use to monitor and growth and development of children.

Algebra concepts: Quadratic regression

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Promethean Flipchart for Algebra: Childhood Growth and Development

Promethean Flipchart Library for Algebra: Honey Production

Honey bees not only produce a tasty treat, they also help pollinate flowering plants that provide much of the food throughout the world. So, when in 2006 bee colonies started dying out, scientists recognized a serious problem. Analyzing statistics from honey bee production allows for a mathematical analysis of the so-called Colony Collapse Disorder.

Algebra concepts: Variables, data analysis

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Promethean Flipchart for Algebra: Honey Production

Promethean Flipchart Library for Algebra: 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 straight-line distance tell us? In this segment the geological forces that account for a river’s motion are explained. In the process, the so-called Meander Ratio is explored. Students construct a mathematical model of a meandering river using the TI-Nspire. 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 π.

Algebra concepts: Ratios and proportions

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Promethean Flipchart for Algebra: River Ratios

Promethean Flipchart Library for Algebra: Hybrid Cars

With the increasing demand worldwide for cars, the cost of gasoline continues to rise. The need for fuel-efficient cars makes hybrids a current favorite. An examination of the equations and inequalities that involve miles per gallon (mpg) for city and highway traffic reveals important information about hybrid cars and those with gasoline-powered engines.

Algebra concepts: linear equations and inequalities, graphs of inequalities

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Promethean Flipchart for Algebra: Hybrid Cars

Promethean Flipchart Library for Algebra: Floods in Venice

The city of Venice is slowly sinking into the Adriatic Sea. So what does a city whose streets are full of water do about flooding? Venice experiences a great deal of flooding, and with the expected rise of sea levels over the next century, this ancient city is in peril. Through a series of inequalities, students analyze the impact of flooding, rising sea levels, and sinking have on this grand, ancient city. Students use the Lists and Spreadsheets and the Program Editor features of the TI-Nspire.

Algebra concepts: inequalities in one variable

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Promethean Flipchart for Algebra: Floods in Venice

Promethean Flipchart Library for Algebra: What Is a Mortgage?

Students explore the dramatic events of 2008 related to the mortgage crisis. Brought about principally through mortgage defaults, the effect on the overall economy was severe. Yet, this situation offers an ideal case study for the exploration of Algebra concepts in data analysis and probability. By exploring these questions students get a front row seat to the historical events of the world’s largest economy. The time value of money is at the basis of all loans. Students learn about the key factors that determine monthly mortgage payments and use the TI-Nspire to create an amortization table. This table is used throughout the rest of the program to explore different scenarios.

Algebra concepts: business math

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Promethean Flipchart for Algebra: What Is a Mortgage?

Promethean Flipchart Library for Algebra: What Is a Subprime Mortgage?

Having learned the general features of a mortgage, students learn the specifics of a subprime mortgage. With this comes the notion of a credit score, and with credit scores come the probabilities for a loan default. Students use the amortization table to run probability simulations to determine possible loan defaults on subprime mortgages.

Algebra concepts: business math

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Promethean Flipchart for Algebra: What Is a Subprime Mortgage?

Promethean Flipchart Library for Algebra: What Is an Adjustable Mortgage?

Another factor in the mortgage crisis was the use of adjustable rate mortgages Students run a number of scenarios to test adjustable rate mortgages, while also taking into account the state of the housing market during the time of the mortgage crisis.

Algebra concepts: business math

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Promethean Flipchart for Algebra: What is an Adjustable Rate Mortgage?

Promethean Flipchart Library for Algebra: Space Travel—Parabolic Paths

The path of a rocket lifting offcan be modeled with the equation of a parabola. Students explore the quadratic function and the parametric equations that can be used to model the path of a spacecraft lifting off.

Algebra concepts: conic sections, parabolas

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Promethean Flipchart for Algebra: Space Travel—Parabolic Paths

Promethean Flipchart Library for Algebra: Space Travel—Circular Paths

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.

Algebra concepts: conic sections, circles

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Promethean Flipchart for Algebra: Space Travel—Circular Paths

Promethean Flipchart Library for Algebra: Space Travel—Elliptical Paths

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.

Algebra concepts: conic sections, ellipses

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Promethean Flipchart for Algebra: Space Travel—Elliptical Paths

Promethean Flipchart Library for Algebra: What Is an Earthquake?

This Flipchart focuses on the Sichuan earthquake in China in 2008. 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.

Algebra concepts: exponential functions

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Promethean Flipchart for Algebra: What Is an Earthquake?

Promethean Flipchart Library for Algebra: What Is Earthquake Intensity?

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.

Algebra concepts: exponential functions

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Promethean Flipchart for Algebra: What Is Earthquake Intensity?

Promethean Flipchart Library for Algebra: How Is Earthquake Magnitude Measured?

An earthquake is an example of a seismic wave. A wave can be modeled with a trigonometric function. Using the TI-Nspire, students link the amplitude to an exponential function to analyze the dramatic increase in intensity resulting from minor changes to magnitude.

Algebra concepts: exponential functions, trigonometric functions

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Promethean Flipchart for Algebra: How Is Earthquake Intensity Measured?

Promethean Flipchart Library for Algebra: Hearing Loss

We live in a noisy world. In fact, prolonged exposure to noise can cause hearing loss. Students analyze the noise level at a rock concert and determine the ideal distance where the noise level is out of the harmful range. Using the TI-Nspire’s Geometry tools, student create a mathematical simulation of the decibel level as a function of distance.

Algebra concepts: logarithmic functions, decibel scale

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Promethean Flipchart for Algebra: Hearing Loss

Promethean Flipchart Library for Algebra: Tsunamis

In 1998 a devastating tsunami was triggered by a 7.0 magnitude earthquake off the coast of New Guinea. The amount of energy from this earthquake was equivalent to a thermonuclear explosion. Students analyze the energy outputs for different magnitude earthquakes. Using the Graphing tools, students explore the use of a logarithmic scale to better analyze exponential data.

Algebra concepts: logarithmic functions

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Promethean Flipchart for Algebra: Tsunamis

Promethean Flipchart Library for Algebra: Submarines

In spite of their massive size, submarines are precision instruments. A submarine must withstand large amounts of water pressure; otherwise, a serious breach can occur. Rational functions are used to study the relationship between water pressure and volume. Students graph rational functions to study the forces at work with a submarine.

Algebra concepts: rational functions

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Promethean Flipchart for Algebra: Submarines

Promethean Flipchart Library for Algebra: Submarines

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.

Algebra concepts: rational functions, ratio of surface area to volume

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Promethean Flipchart for Algebra: Animal Evolution

Promethean Flipchart Library for Algebra: The Hubble Space Telescope

The Hubble Telescope, like all telescopes, relies on the lens formula to focus an image. The lens formula results in a rational equation that can be solved for determining the settings on the lens.

Algebra concepts: rational functions, the lens formula

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Promethean Flipchart for Algebra: The Hubble Space Telescope

Promethean Flipchart Library for Algebra: 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.

Algebra concepts: linear systems

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Promethean Flipchart for Algebra: Profit and Loss

Promethean Flipchart Library for Algebra: Encryption

Secret codes and encryption are ideal examples of a system of equations. In this activity, students encrypt and decrypt a message.

Algebra concepts: linear systems, matrices

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Promethean Flipchart for Algebra: Encryption

Promethean Flipchart Library for Algebra: Ballistic Missiles

A ballistic missile shield allows you to shoot incoming missiles out of the sky. Mathematically, this is an example of a quadratic system. Students graph such a system and find the points of intersection between two parabolas.

Algebra concepts: nonlinear systems

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Promethean Flipchart for Algebra: Ballistic Missiles

Promethean Flipchart Library for the TI-Nspire CX: Linear Functions

In this program, internationally acclaimed mathematics educator Dr. Monica Neagoy, explores the nature of linear functions through the use of the TI-Nspire CX. 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.

Algebra concepts: Standard form, slope-intercept form, point-slope form, solving linear equations.

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Promethean Flipchart Library for the TI-Nspire CX: Quadratic Functions

In this program, the TI-Nspire is used to explore the nature of quadratic functions. Examples ranging from space travel and projectile motion provide real-world examples for discovering algebraic concepts.

All examples are solved graphically. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series.

Algebra concepts: Quadratic functions and equations, standard form, graphing quadratic equations, solving quadratic equations graphically

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Promethean Flipchart Library for the TI-Nspire CX: Variables, Equations, and Functions

Ever since the mathematics of the Babylonians, equations have played a central role in the development of algebra. Written and hosted by internationally acclaimed mathematics educator Dr. Monica Neagoy, this video traces the history and evolution of equations. It explores the two principal equations encountered in an introductory algebra course – linear and quadratic – in an engaging way. The foundations of algebra are explored and fundamental questions about the nature of algebra are answered. In addition, problems involving linear and quadratic equations are solved using the TI-Nspire graphing calculator.

Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series.

Algebra concepts: Variables, equations, functions, formulas, linear functions and equations, quadratic functions and equations, solving equations graphically

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Promethean Flipchart Library for the TI-Nspire CX: Inequalities

Used in just about any industry, inequalities, like equations, are fundamental building blocks of algebra. Written and hosted by internationally acclaimed mathematics educator Dr. Monica Neagoy, this video explores inequalities—concepts, properties, solutions, and notations— connects them to real-world contexts, and uses the TI-Nspire to make the algebra meaningful. The focus of this program is on linear inequalities in one and two variables.

Algebra concepts: Equations, inequalities

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Promethean Flipchart Library for the TI-Nspire CX: Relations and Functions

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 TI-Nspire, while dynamic visuals and scenarios put them into real-world contexts.

Algebra concepts: functions, relations, equations, quadratic functions, linear functions, multiple representations

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Promethean Flipchart Library for the TI-Nspire CX: 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 TI-Nspire 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.

Algebra concepts: functions, exponents, exponential functions

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Promethean Flipchart Library for the TI-Nspire CX: Data Analysis and Statistics

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.

Algebra concepts: statistics, data analysis, regression analysis

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Promethean Flipchart Library for the TI-Nspire CX: Solving Systems of Equations

Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video introduces students to systems of linear equations in two or three unknowns. To solve these systems, the host illustrates a variety of methods: four involve the TI-Nspire (spreadsheet, graphs and geometry, matrices and nSolve) and two are the classic algebraic methods known as substitution and elimination, also called the linear combinations method. The video ends with a summary of the three possible types of solutions.

Algebra concepts: equations, linear equations, linear systems

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Promethean Flipchart Library for the TI-Nspire CX: Rational Functions

After briefly reviewing the concept of inverse variation, this video explores Boyle’s law, a real world example of an inversely proportional relationship between pressure and volume of a gas. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, it goes on to examine similarities and differences among rational functions and numbers. Finally, it takes a look at rational functions graphs and ends with a delightful example merging Euclidean and analytic geometry, thanks to the TI-Nspire technology.

Algebra concepts: functions, rational expressions, rational functions, asymptotes

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Promethean Flipchart Library for the TI-Nspire CX: Logarithmic Functions

This video begins with the historical invention of logarithms that forever changed the world of computation—until the advent of calculators more than 300 years later. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, it proceeds to derive the properties of logs, examine logarithmic functions and graphs, and finally explore the well-known Richter logarithmic scale.

Algebra concepts: functions and inverse functions, logarithms, exponential functions, logarithmic functions

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