This program defines polynomials and describes how the distributive property is used to multiply common monomial factors with the FOIL method. It covers factoring, the difference of two squares, trinomials as products of two binomials, the sum and di...fference of two cubes, and regrouping of terms. It showcases a scientist who uses these factors to try and figure out if there is life elsewhere in our galaxy.(28:51)[more]

An introduction to the series with host, Saul Garfunkal, this program presents several mathematical themes (symbols, language, rules, and applications) and emphasizes why algebra is important in today’s world. This program was originally used for a c...ollege algebra class; however, the topics and examples used are suitable for today's high school learners. (28:57)[more]

This program teaches students the properties and solution of inequalities, linking positive and negative numbers to the direction of the inequality. The program presents three applications of inequalities: modeling problems of the U.S. Postal Service..., finding the cheapest way to travel, and conducting market research in the pizza industry. (28:57)[more]

This program provides a survey of basic mathematical terminology. Content includes properties of the real number system and the basic axioms and theorems of algebra. Specific terms covered include algebraic expression, variable, product, sum term, fa...ctors, common factors, like terms, simplify, equation, sets of numbers, and axioms. Definitions of these terms lay a foundation for working with the concepts. (28:17)[more]

This is the first program in which equations are solved. It shows how solutions are obtained, what they mean, and how to check them using one unknown. Concepts are worked out in an application problem involving a modern sewage plant near Los Angeles,... where a linear equation is set up and solved to determine how long to keep open an inlet pipe. (28:50)[more]

This program covers the logarithmic relationship, the use of logarithmic properties, and the handling of a scientific calculator. How radioactive dating and the Richter scale depend on the properties of logarithms is explained. Many rules and tests f...rom previous programs are also incorporated into the lesson. (28:46)[more]

In this program, students are given examples of special functions in the form of direct variation and inverse variation, with a discussion of combined variation and the constant of proportionality. These are explored in relation to polynomials and as...sorted equations, with applications from chemistry, physics, astronomy, and the food industry. (28:47)[more]

This program explains the properties of exponents and radicals: their definitions, their rules, and their applications to positive numbers. The program shows how to use the Rules for Exponents to simplify expressions, demonstrating concepts through a... discussion of the O-ring failure of the Challenger Space Shuttle. (28:09)[more]

This program reviews the quadratic equation and covers standard form, factoring, checking the solution, the Zero Product Property, and the difference of two squares. Environmental and aviation examples provide realistic problems, and the method of Co...mpleting the Square is used to solve them. (28:45)[more]

In this final program, students see how the various techniques of algebra that they have learned can be applied to the study of probability. The program shows that games of chance, health statistics, and product safety are areas in which decisions mu...st be made according to our understanding of the odds. It also shows how the subject of probability has evolved to support such fields as genetics, social science, and medicine. (28:58)[more]

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