A+dvanced Learning System

Age Range: 6-Adult
Platforms: PC and Mac - Stand alone, lab pack and network versions are available in single and district site license versions.
Medium: CD-ROM
Cost: Please call or email

Company: The American Education Corp.
Phone: 1-800-342-7587
Email: jebjr@amered.com

Description:

The Mathematics Education component of the A+dvanced Learning System consists of 18 groups of lessons that guide students from general mathematical skills through algebra, geometry, trigonometry, and calculus. In addition, a real-world math group includes investments, bank accounts, interest, and household math. The lesson groups are:

Mathematics I (Grade Level 1)

Introduction to mathematical concepts. Covers numbers and counting, number sets, ordering and comparing numbers, ordinal numbers, strategy, number lines, number sense, fact families, patterns, writing operational sentences, missing numbers, story problems, skip counting, choosing operations, graphs, money, developing math strategies, estimating and measuring, sums and differences, time, three dimensional figures, symmetry, fractions, and codes. Over sixty lessons with essay questions that relate math to everyday life.

Mathematics II (Grade Level 2)

Strengthens mathematical skills in the areas of numbers and counting, odds and evens, money, number sense, ordinal numbers, graphing, addition and subtraction, fact families, using a calculator, measuring length, mass, weight, capacity, and time, estimating, polygons, two and three dimensional figures, probability, patterns, strategy, logic, and fractions. Over fifty lessons with excellent essay questions.

Mathematics III (Grade Level 3)

Develops and strengthens mathematical skills in the areas of understanding numbers and their operations, money, mental math, choosing operations, identifying extra and unnecessary information, measuring length, perimeter, time, capacity, mass, and temperature, graphs, patterns, introduction to multiplication and division, fractions, decimals, probability, geometric figures, ordered pairs, and logical reasoning. Over fifty lessons with essays that relate math to everyday life.

Mathematics IV (Grade Level 4)

Strengthens mathematical ability in the areas of addition, subtraction, multiplication, and division, patterns, money, estimating and measuring time, capacity, length, mass, temperature, and distance. Includes fractions, decimals, geometric figures, lines and line segments, angles, grids, tables, bar graphs, line graphs, probability, choosing operations, extra information, logical reasoning, and using mental math.

Mathematics V (Grade Level 5)

Strengthens mathematical ability in the areas of whole number operations, graphs, decimals, using a calculator, multiple step problems, identifying and extending patterns, line relationships, geometric solids and figures, averaging, ordered pairs, performing operations on decimals and fractions, measuring length, capacity, mass, perimeter, circumference, and area, ratios, percentages, probability, and predicting possible outcomes. Over forty lessons with excellent essay questions that relate math to everyday life.

Mathematics VI (Grade Level 6)

Strengthens mathematical knowledge and ability in the areas of large and small numbers, number operations, decimals, algebraic expressions, graphing, probability, predicting outcomes, fractions, reciprocal numbers, primes, mixed numbers, measurement of length, capacity, weight, and time, estimating, using ratio and proportion, geometric concepts, symmetry and congruence, surface areas, volume, positive and negative integers, rational numbers, variables, and logical reasoning. Over forty lessons and excellent essay questions.

Mathematics VII (Grade Level 7)

Strengthens mathematical knowledge and ability in the areas of whole number operations, variables, decimals, geometric principles, standard and non-standard measurement concepts, factors, primes and composite numbers, fractions, mixed numbers, ratios, equations, percents, simple and compound interest, using calculators, area and volume, patterns, tables, graphs, probability, analyzing data, mode, range, median, and mean. Excellent essay questions that relate mathematics to everyday life.

Mathematics VIII (Grade Level 8)

Strengthens mathematical knowledge and ability in the areas of algebra, variables, coefficients, decimals, positive and negative numbers, rational numbers, equations and inequalities and transformations, lines, angles, planes, geometric figures, ratio, proportion, percent, graphs, ordered pairs, area and volume, square roots, permutation formulas, probability, gathering statistics, and polynomial operations. Over forty lessons and excellent essay questions that relate mathematics to everyday life.

Real World Math

Course Content: High school level math that prepares the student for the real world. Teaches how to figure taxes, negotiating leases, making purchases in bulk quantities, stocks and bonds, investments, bank accounts, interest, measuring, figuring discounts and markups, commissions, unit rates, household mathematics. Thirty lessons.

Pre-Algebra

Great for review of algebraic principles and preparation for college math. Includes extensive practice of mathematical properties and problem solving, patterns that lead to using and extending basic mathematical operations. Course Content (from National Council of Teachers of Mathematics): integers, geometric formulas, graphing, statistics, probability, positive and negative rational numbers, absolute values, equivalent ratios, relating percents to decimals and fractions, variables, variable expressions, order of operations, coefficients, constants, solving inequalities, rational and irrational numbers, frequency distributions, translating word phrases into algebraic expressions, polynomial operations. Over thirty lessons.

Algebra I, Part 1

Course Content (from National Council of Teachers of Mathematics): Variables, expressions, and equations, the order of operations, properties, exponents, factors, and coefficients, absolute values; basic mathematical operations, including real number operations, like terms, and evaluating expressions; solving equations, including problems solving using all properties; linear equations, including the coordinate plant, slope, x and y intercepts, graphing linear equations; polynomials and exponents, operations involving polynomials and exponents, binomials and trinomials; solving dimension problems; factoring monomials, difference of squares, factoring by grouping, solving quadratic equations by factoring. Over forty lessons.

Algebra I, Part 2

Course Content (from National Council of Teachers of Mathematics): Systems of linear equations, including solving systems by graphing, substitution, and other operations, motion problems; rational expressions, including identifying and simplifying rational expressions, performing operations on simple and complex rational expressions; identifying and solving rational equations, including mixture and work problems, ratio and proportion, interest and investment; inequalities and absolute value, including graphing on the number line, using various methods to solve inequalities, compound inequalities; radical expressions and equations, including square roots and irrational numbers, operations on radical expressions, the Pythagorean Theorem, the distance formula; relations and functions, including function notation, quadratic functions, direct variation inverse variation; quadratic equations, including the discriminate and the quadratic formula. Over forty lessons.

Algebra II, Part 1

Course Content (from National Council of Teachers of Mathematics): the language of algebra, including algebraic rules and properties, solving one variable, and problem solving strategies; properties of equations and inequalities, including rewriting formulas, solving and graphing equations and inequalities, solving absolute value equations and inequalities; linear functions, including graphing linear equations and inequalities, the slope of a line, parallel and perpendicular lines, finding linear equations; systems of equations and inequalities; systems of equations in space; polynomials; and rational expressions and equations. Over forty lessons.

Algebra II, Part 2

Course Content (from National Council of Teachers of Mathematics): covers roots and radicals, multiplying and dividing radicals, adding and subtracting radicals, rational exponents, radical equations, imaginary numbers, adding and subtracting complex numbers, multiplying and dividing complex numbers, quadratic equations, completing the square of a quadratic equation, quadratic inequalities, graphing quadratic equations, parabola characteristics, graphing parabolas, characteristics of circles, ellipses, and hyperbolas, graphing inequalities, inverse and joint variations, arithmetic sequences, geometric sequences, and infinite geometric series. Over thirty lessons.

Geometry

Course Content (from National Council of Teachers of Mathematics): Interpreting and drawing three-dimensional objects, apply properties to figures, classify figures in terms of congruence and similarity and apply relationships, identify axiomatic systems, side, angle, and line ratios and relationships, scaling, creating and manipulating shapes, inductive and deductive reasoning in developing theorems, transversals, right triangle relationships, Pythagorean theorem, areas of polygons, Euclidean geometry, comparing basic axioms and definitions to other geometries, Euclid's fifth postulate. Over thirty lessons.

Trigonometry

Course Content (from National Council of Teachers of Mathematics): Sines, cosines, making the connection between trigonometric and circular functions, graphing trigonometric functions, solving trigonometric equations and verifying trigonometric identities, polar coordinates, complex numbers, series, trigonometric expressions and inverses, using scientific calculators to develop realistic application of principles. Over thirty lessons.

Calculus I

Course Content (from National Council of Teachers of Mathematics): Determining maximum and minimum points on a graph, interpret the results of graphs in problem situations, infinite sequences and series, areas under curves, limits, rates of change, slope of tangent lines, and their application in other disciplines, analyze polynomial graphs, rationals, radicals, and trigonometric, logarithmic, and exponential functions. Over thirty lessons.

Calculus II

Course Content (from National Council of Teachers of Mathematics): Definition, discussion, and notations of integrals, the fundamental theorem of calculus, indefinite integrals and antiderivatives, integration by substitution, natural logarithms, points of intersection for regions of graphs, applications of the integral, including volumes of rotation about the axes, arclength, surface area and work, hydrostatic force, Inverse functions, including natural exponent functions, exponential and logarithmic functions of other bases, exponential growth and decay, inverse trigonometric functions.

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Howard J. Bender, Ph.D.
President
The Education Process Improvement Center, Inc.
P.O. Box 186
Riverdale, Maryland 20738
hjbender@epicent.com