Summary: This video describes how to estimate costs of products and services, determine the circumference of an object and its effect on motion, and calculate area and volume. Dramatized segments and computer animations illustrate ways to use measurements taken from blueprints to estimate construction costs; determine tire sizes, which affect vehicle speed; and calculate a running track's circumference...
Format: software, multimedia
Publisher / Publication Date: Films Media Group 2005
View online at AVOD
Summary: This video describes how whole numbers and decimals are used in the monetary system, how to calculate costs in foreign currencies, and how to use exponents. Dramatized segments and computer animations focus on ways to determine the international value of U.S. dollars at a currency exchange; select chairs for an interior decorating job while staying within a budget; and calculate interstellar...
Format: software, multimedia
Publisher / Publication Date: Films Media Group 2005
View online at AVOD
Summary: This video describes how to identify points, plot ordered pairs on a graph, use map coordinates to find locations, and apply graphical break-even analysis to linear functions. Dramatized segments and computer animations illustrate ways to describe positions on a game board by using coordinates; program an industrial robot to assemble TVs in a factory; use a road map while traveling; and...
Format: software, multimedia
Publisher / Publication Date: Films Media Group 2008
View online at AVOD
Summary: This program provides a fascinating survey of mathematical modeling through the ages-from scratch marks on early bone, to the ingenious Babbage Engine-forerunner of the modern computer. Primitive models include the early Greek sundial and astrolabe; a knotted rope used by the Incas to keep track of the community larder; and a wooden tablet with tally marks showing the number of kegs received by...
Format: software, multimedia
Publisher / Publication Date: Films Media Group 2006
View online at AVOD
Summary: After explaining the principle of moments, this program shows how apparently dissimilar physical phenomena are actually mathematically similar through the examples of a synthetic heart valve, a lock gate, and the gymnastic maneuver known as a flic-flac, or back handspring. The need to make careful approximations during the modeling process is stressed.
Format: software, multimedia
Publisher / Publication Date: Films Media Group 2006
View online at AVOD
Summary: Employing diverse examples such as trains and water slides, this program illustrates the use of vectors to represent forces operating in both two and three dimensions. The algebraic manipulation of vectors in modeling problems is featured.
Format: software, multimedia
Publisher / Publication Date: Films Media Group 2006
View online at AVOD
Summary: This video describes how to perform computations using positive and negative numbers, interpret the results, and determine the break-even point in a business situation. Dramatized segments and computer animations illustrate why bridges require expansion joints; how to track the rushing yardage of a high school football player; and how to adjust profit and debt to bring a start-up lawn-care...
Format: software, multimedia
Publisher / Publication Date: Films Media Group 2008
View online at AVOD
Summary: In this program, geometry is combined with approximation to solve relatively complex problems involving shooting an arrow and landing an airplane on the deck of an aircraft carrier. Emphasizing the value of sketching as a visualization tool, the program also explains how the solution of the archery problem, through geometric inversion, can help solve the problem of a plane landing.
Format: software, multimedia
Publisher / Publication Date: Films Media Group 2006
View online at AVOD
Summary: Math in Electrical Technology is an eleven-minute video which is part of the series, Math in Technology. "But why do I need math?" Now, using this series, give students a clear, definitive, and logical answer. Math is necessary to get the job done in most technical fields, including auto mechanics, electricity/electronics, and the building trades. Each video shows real-life problem situations...
Format: software, multimedia
Publisher / Publication Date: Films Media Group 2005
View online at AVOD
Summary: Emphasizing hands-on practice, this program is an excellent tool for introducing the basics of linear measurement: its history, terminology, systems, and practical applications. Using both customary and metric rulers, Measurement: The Long and the Short of It will guide your students through the process of taking measurements, performing related calculations using whole numbers and fractions,...
Format: software, multimedia
Publisher / Publication Date: Films Media Group 2006
View online at AVOD
Summary: In this program, animated graphics help to define the concept of angular momentum and to express the relationship between moments and the rate of change of angular momentum. Problems include determining the dimensions needed for an airplane's ailerons and the amount of force required to rotate a toy spaceship. The reasons why a spinning top shows precession are also addressed.
Format: software, multimedia
Publisher / Publication Date: Films Media Group 2006
View online at AVOD
Summary: Using Newton's second law and a balloon-powered toy car, this program examines how impulse relates to the change in momentum and how the rate of that change equates to the resultant force. In addition, the exhaust velocity of the jet-propelled car is estimated.
Format: software, multimedia
Publisher / Publication Date: Films Media Group 2006
View online at AVOD
Summary: After defining the basic concepts of vectors, this program uses algebra to determine how the resultant of numerous forces acting on a body can be obtained and then equated to the product of mass and acceleration. Kites are employed to exemplify both equilibrium and non-equilibrium conditions.
Format: software, multimedia
Publisher / Publication Date: Films Media Group 2006
View online at AVOD
Summary: This program introduces the concept of simple harmonic motion through the operation of the pendulum. The findings of Galileo and his contemporaries on the mechanics of the pendulum are presented, along with examples of pendular motion drawn from the modern world.
Format: software, multimedia
Publisher / Publication Date: Films Media Group 2006
View online at AVOD
Summary: This program investigates how the mathematical model of simple harmonic motion becomes more complex through the introduction of damping. The application of simple modeling techniques to create homogeneous linear second-order differential equations is illustrated.
Format: software, multimedia
Publisher / Publication Date: Films Media Group 2006
View online at AVOD
Summary: This video describes how to construct formulas and equations, solve equations with one variable, and use formulas in basic computer spreadsheets. Dramatized segments and computer animations demonstrate ways to predict future sales and costs of cordless phones at an electronics store by using spreadsheets; select an economical rental car by devising a formula to compare competing rates; and...
Format: software, multimedia
Publisher / Publication Date: Films Media Group 2008
View online at AVOD
Summary: What if twelve strangers were deposited in separate locations all over New York City and ordered to find each other-without being told where to look? This ABC News program presents an intriguing psychological puzzle involving participants who must join up-somehow, somewhere-in a city of eight million people. Incorporating principles from the mathematical discipline known as game theory, the...
Format: software, multimedia
Publisher / Publication Date: Films Media Group 2006
View online at AVOD
Summary: This video describes how to read, interpret, and evaluate data displayed in bar graphs, line graphs, and pie charts. Dramatized segments and computer animations illustrate ways to determine the financial advantages of a staggered breeding schedule at a dairy farm; allocate rack space in a CD store, based on regional and local sales figures; and decide whether an athlete's physical...
Format: software, multimedia
Publisher / Publication Date: Films Media Group 2005
View online at AVOD
Summary: This program uses a parachutist to demonstrate the effects of drag on the force of gravity, showing how to make mathematical approximations and how the resultant forces can be equated to the product of mass and acceleration. A first-order differential equation is then used to find the minimum height from which a parachutist can jump without injury.
Format: software, multimedia
Publisher / Publication Date: Films Media Group 2006
View online at AVOD
Summary: In the first lesson, the different forms of English measurement are discussed and displayed as they would appear on a ruler. The viewer also learns how to understand fractions when measuring and how to find exact measurements using a ruler. The second lesson deals with the metric system by introducing the meter and other metric measurements. Viewers learn how to read a meter stick, and common...
Format: software, multimedia
Publisher / Publication Date: Films Media Group 2005
View online at AVOD
Summary: In this program, footage of rockets blasting off and avalanches roaring down mountainsides provides two perspectives of the same principle: the rate of change of momentum. Practical calculations of the time it takes for a rocket to lift off and the time a skier has to escape a landslide, plus an experiment with eggs and flour, reinforce the lesson.
Format: software, multimedia
Publisher / Publication Date: Films Media Group 2006
View online at AVOD
Summary: This program discusses how geometry, gravity, and the coefficient of friction determine whether an object slides or topples. The mathematical models behind these phenomena are presented through examples such as ice hockey and skiing. The relationship between sliding and a body's velocity as an exercise in energy conservation is explored as well.
Format: software, multimedia
Publisher / Publication Date: Films Media Group 2006
View online at AVOD
Summary: Moving beyond the concept of simple force, this program expands the application of vectors to include velocity, acceleration, and rotational motion. In addition, moments of greater complexity are investigated through vector geometry. Real-world examples are included.
Format: software, multimedia
Publisher / Publication Date: Films Media Group 2006
View online at AVOD
Summary: This program considers the idea that circular motion must imply a force or component of a force toward the center of a circle, as in the Newtonian theory of how the Moon orbits the Earth. The reasons why bicyclists lean during turns, why roads are banked, and why car tires react as they do during a turn are investigated.
Format: software, multimedia
Publisher / Publication Date: Films Media Group 2006