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Algebra Applications DVDs: For Pre Algebra, Algebra 1, and Algebra 2Algebra Applications DVDs: Applications of Algebra These DVDs answer the questions, "What is algebra?" “Why do I need to learn algebra?”The answer is an impressive array of real-world algebra applications, including:
Dynamic footage, 3D animations, and high production values make these DVDs stand out from other educational DVDs.
The DVDs include graphing calculator applications using the Texas Instruments TI- Nspire calculator, but can easily be adapted for use with the TI-84.
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Algebra Applications DVDs: Volume 1 ($199.99)Algebra Applications DVDs, Program 1: Linear Functions
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Algebra Applications DVDs: Volume 2 ($199.99)Algebra Applications DVDs, Program 6: Functions and Relations
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Any questions? Please click on the Contact Us link and let us know your question. We will get back to you quickly with an answer to your question.
Not ready to purchase the Algebra library? Purchase single DVDs for $39.99. |
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Title |
Video
Segments
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Contents of DVDs
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Algebra Applications DVDs ALGEBRA APPLICATIONS DVDS: $39.99/SINGLE DISC. |
Segment 1: Introduction. |
An overview of the key topics to be covered in the
video. |
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Segment 2: Cycling. |
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, linear functions |
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Segment 3: Oil Exploration. |
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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Segment 4: 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, data analysis |
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Algebra Applications DVDs ALGEBRA APPLICATIONS DVDS: $39.99/SINGLE DISC. |
Segment 1: Introduction |
An overview of the key topics to be covered in the
video. |
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Segment 2: Pyrotechnics. |
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 in standard form, curve fitting |
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Segment 3: Forensics. |
The
distance a car travels even after the brakes are applied can be described
through a quadratic function.
The total distance is known as the stopping distance and
this segment analyzes the quadratic function. This is an equation that can be
used by accident investigators.
Algebra
concepts: Quadratic equations, quadratic functions, solving quadratic equations graphically
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Segment 4: Medicine. |
An analysis of CDC data reveals a
number of quadratic models that doctors can use to monitor and growth and
development of children. |
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Algebra Applications DVDs ALGEBRA APPLICATIONS DVDS: $39.99/SINGLE DISC. |
Segment 1: Introduction. |
An overview of the key topics to be covered in the
video. |
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Segment 2: Honey Production. |
Analyzing statistics from honey bee production
allows for a mathematical analysis of the so-called Colony Collapse Disorder.
Algebra
concepts: variables,
equations, formulas, ratios and proportions, and box and whisker plots |
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Segment 3: 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? In the process, the so-called Meander Ratio is explored. Students construct a mathematical model of a meandering river using the TI-Nspire. Algebra
concepts: variables, equations, ratios, geometry and measurement, statistical
mean, and data analysis |
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Algebra Applications DVDs ALGEBRA APPLICATIONS DVDS: $39.99/SINGLE DISC. |
Segment 1: Introduction. |
An overview of the key topics to be covered in the
video. |
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Segment 2: Hybrid cars. |
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. Students use the Graphs and Geometry
features of the TI-Nspire. Algebra
concepts: linear equations, functions, and inequalities, graphs of inequalities
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Segment 3: Floods in Venice. |
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 |
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Algebra Applications DVDs ALGEBRA APPLICATIONS DVDS: $39.99/SINGLE DISC. |
Segment 1: Introduction. |
Scientists use conic sections to map the trajectories of spacecraft in flight. The setting for this episode is a planned future flight to Mars. |
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Segment 2: Parabolic Paths. |
The liftoff and pre-orbital path of the rock 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. Algebra
concepts: conic sections, parabolas, functions, parametric equations
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Segment 3: 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, equations of circles, functions |
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Segment 4: 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, equations of ellipses, functions |
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Algebra Applications DVDs ALGEBRA APPLICATIONS DVDS: $39.99/SINGLE DISC. |
Segment 1: Introduction |
Students explore the dramatic events of 2008 related to
the mortgage crisis. |
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Segment 2: What Is a Mortgage? |
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: time value of money, data analysis |
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Segment 3: What Is a Subprime Mortgage? |
Students use the amortization table to run probability
simulations to determine possible loan defaults on subprime mortgages.
Algebra
concepts: time value of money, data analysis |
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Segment 4: What Is an Adjustable Rate 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: time value of money, data analysis |
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Algebra Applications DVDs ALGEBRA APPLICATIONS DVDS: $39.99/SINGLE DISC. |
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. |
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Segment 2: What Is an Earthquake? |
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, inverse functions, logarithmic functions |
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Segment 3: How Is an Earthquake Measured? |
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, data analysis, logarithmic functions |
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Segment 4: What Is the Difference Between Intensity and
Magnitude? |
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, composite functions |
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Algebra Applications DVDs ALGEBRA APPLICATIONS DVDS: $39.99/SINGLE DISC. |
Segment 1: What Is a Logarithm? |
The mathematical definition of a logarithm is the inverse of an exponential function, but why do we need to use logarithms? |
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Segment 2: Hearing Loss |
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. Algebra
concepts: logarithmic functions and equations, decibel scale |
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Segment 3: 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. Algebra
concepts: logarithmic functions, logarithmic scale |
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Algebra Applications DVDs ALGEBRA APPLICATIONS DVDS: $39.99/SINGLE DISC. |
Segment 1: Engineering |
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: inverse variations, rational functions |
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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. Algebra
concepts: rational functions, ratios, surface area, volume |
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Segment 3: The Hubble 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: lens formula, rational equations, functions |
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Algebra Applications DVDs ALGEBRA APPLICATIONS DVDS: $39.99/SINGLE DISC. |
Segment 1: 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.
Algebra
concepts: linear systems, linear functions, data analysis
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Segment 2: 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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Segment 3: 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 quadratic functions.
Algebra
concepts: nonlinear functions
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