This month's Math program is Algebraic Expressions 1. It is one of sixteen programs in The Math Knowledge Series. The Math Knowledge Series covers a range of curricula from junior high school and high school through the first years of college. You can find a detailed list of the programs in The Math Knowledge Series and their course outlines below and in the and User Guide within the program.
{The complete Math Knowledge Series is available in Softdisk's Online Download Stores on the and following Online Services: Prodigy, jump word - _DownloadSuper_; CompuServe, keyword - _Go SP_; and in the and future on other online services. For more details of availability, keywords and how to get to the and Download Stores, please call 1-800-831-2694.}
^C{GENERAL DESCRIPTION AND FEATURES}
Math Knowledge Series contains sixteen titles, which are compatible with major textbooks covering most of the standard math curricula from 6th-8th grades through the first years of college. Since it was designed to supplement both textbooks and classroom studies it is mainly a drill and practice program. It has a built-in hand holding, personal tutoring system. It reviews the subject topics in a Lesson section, and then offers a most comprehensive feature laden drill and practice section with a randomly generated, unlimited number of problems and exercises.
Math Knowledge Series features:
* Auto-grading system makes it a valuable learning support.
* Interactive individual tutoring.
* Coaching through every step of solving a problem.
* Lessons are supplemented with randomly generated - unlimited number of examples.
* Drill and practice section with randomly generated - unlimited number of problems and exercises.
* Context-sensitive Help system.
* Individualized progress:
a) Student stays on each lesson as long as it takes to learn it.
b) Automatic progress in levels of difficulty based on automatic monitoring of student's success.
* The courseware recognizes different ways of solving a problem.
* Clear explanations, in both the and Lessons and the Help modes.
^C{PROGRAM TITLES AND COURSE OUTLINES}
^C_WORD PROBLEMS 1_
* Solving word problems by using first degree equations, involving numbers, percents, two digit numbers, integer division with a remainder.
^C_WORD PROBLEMS 2_
* Solving word problems by using first degree equations, with geometrical shapes and with uniform motion, dealing with s=vt.
^C_ALGEBRAIC EXPRESSIONS 1_
* Computing with expressions, reducing like terms, multiplication.
* Substitution of a variable and computing the numeric value of an expression.
* Translating verbal phrases into algebraic expressions.
* Factoring expressions by identifying a common factor.
^C_ALGEBRAIC EXPRESSIONS 2_
* Special products (A+B)(A+B)(A-B), cube of sum.
* Factoring ABA2AB+Bthe trinomial axbx+c, difference of cubes.
* Translating verbal sentences into equations.
* Laws of powers with integer exponents (positive, negative or zero).
^C_EQUATIONS 1 - Linear equations and inequalities_
* Solution of an equation, the solution set, equivalent equations.
* Solving equations of the and first degree.
* Solution of an inequality, equivalent inequalities, the solution set, graph.
* Solving inequalities of the first degree.
* Special cases (when the variable is eliminated).
^C_EOUATIONS 2 - Quadratic equations and inequalities_
* The solution set, solving axc = 0, axbx = 0.
* Solving the equation axbx+c = 0 (rational solutions).
* Operations on irrational numbers.
* Solving axbx+c = 0 (irrational solutions).
* Investigating the nature of the and roots using the discriminant.
* The sign of the and trinomial axbx+c, solving quadratic inequalities.
^C_EQUATIONS 3 - Equations and systems in two variables_
* Solution as a pair, solution set, the graph of a linear equation.
* System of two linear equations, solving a system by the graphic method.
* The substitution method and the addition method.
* Special systems with no solution or dependent equations, investigating a system with one parameter.
^C_EQUATIONS 4 - Quadratic system and parameters_
* Solving a quadratic system with a graphic meaning.
* Investigating a linear equation with a parameter.
* Solving a linear system with a parameter.
^C_ANALYTIC GEOMETRY 1 - Points, line, circle_
* Points of a plane, coordinates, slope through two points, midpoint, distance between two points.
* The straight line, y=ax+b, the coefficients, forming an equation.
* The circle xy= R(x-a)(y-b)= Rtangent, intersection with a line, circle through three points.
* The ellipse: definition, loci, equation, tangent, intersection with a line.
* The hyperbola: Definition, foci, equation, asymptotes, tangent, intersection with a line.
* The parabola: definition, focus, directrix, parameter, equation, tangent, intersection with a line, tangents from an external point.
^C_DERIVATIVES 1 - Polynomials_
* The notion of derivative: the and slope of the and tangent, deriving polynomials, equation of the tangent, finding x in f'(x) = c.
* Investigating polynomials: increasing and decreasing functions, extrema, graphing polynomials of the and second, third and fourth degree, and algebraic applications.
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