EMTeachline interactive algebraic software - solving algebraic inequalities
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EMMentor Algebra Inequalities

EMMentor Algebra Inequalities
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Get a private math tutor right on your desk! All students need help at some point, so be sure to get the help you need. With dozens of interactive learning techniques and a unique system of error analysis, EMMentor provides a qualified training of problem solving skills. He will offer you a task, ask you questions, give you hints as you need them, analyse your answers, trace your errors, detect gaps in your theoretical knowledge and problem solving skills and generate optimal exercises to close these gaps. EMMentor is here to help you figure out how to learn math for yourself. Those who stick with EMMentor will come away with a stronger understanding of fundamental math concepts, improved higher-level thinking skills and excellent practical skills in solving math problems! Free fully functional downloadable version of EMMentor is available. Our online demos enable you to try a number of training techniques and observe examples of error analysis.



Parameters of the program
Name of program:
EMMentor_Algebra_Inequalities
Number of problems:
54339
Number of similar variants:
30
Languages of interface:
English, German
Price:
201 EUR
Size of archive:
4601 kb

Abstract. EMMentor_Algebra_Inequalities is a new generation interactive training program that offers a large number of math problems, a variety of appropriate techniques to solve problems and a unique system of performance analysis with methodical feedback. Students at all levels can practice at their own pace, review their own work, monitor their weaknesses and achievements, and get methodical recommendations for building missing math knowledge and skills.Considered are solutions of algebraic inequalities. The program includes 54339 math problems of 11 levels of complexity, from basic to advanced. For each math problem, EMMentor offers a set of methodical tasks to be discharged at each step of problem solution. Your work will be throughly analysed with respect to multiple parameters. You can review the distributions of your errors throughout the solution steps, over formulas and other math concepts, over topics, etc. Based on this joint error distribution, EMMentor provides an optimal set of tasks for error correction. In addition, EMMentor offers a number of test authoring options that automate creation of math tests, quizzes, homeworks and exams of varied complexity and enable automatic generation of a number of variants around each test. The tests with or without the solutions can be printed out or stored in a file and re-used. Dozens of variant tests are ready for students to review and reinforce their math skills. Each definition, rule etc can be instantly translated to German or another available language.


System Requirements:

Pentium 2 or higher

64 MB RAM

Windows 98 or higher

Internet Explorer 5.5 or higher

Plug-in MathPlayer (downloadable from here)


Program's detail
Examples
Press release
Contents of the program
Characteristics of similar programs

Examples

An online sample of math problems and problem solutions from this program is provided below:

Problems: Algebra
Problems: Algebra Inequalities
Problems: Algebra Inequalities advanced
Problems: Algebra Inequalities basic

back EMTEACHLINE MATHEMATICS SOFTWARE - YOUR PERSONAL MATH TEACHER

Press release

ABSTRACT. EMTeachline Software has released a PC-based interactive mathematics software brand EMMentor that tutors in solving math problems. This encyclopedic software contains hundreds thousands of fully explained step by step solutions to math problems from basic to advanced and thousands of related definitions, rules, formulas and theorems. Based on a unique teaching technology, EMMentor controls, analyses and grades your performance, detects gaps in your theoretical knowledge and problem-solving skills, and generates an optimal set of tasks to close the revealed gaps. This software helps kids grasp math concepts and build problem solving skills much more effectively than any classroom teacher. For teachers and parents, EMMentor offers a comprehensive objective analysis of children's performance, with tables and plots, and methodical recommendations for error correction. Easy-to-use authoring options automate development of math tests and homeworks. The software is designed for mathematics self-study. Provides an ideal help for math teachers. Suitable for elementary, middle and high school use.

1. SOFTWARE OVERVIEW

The EMTeachline Interactive Mathematics Software EMMentor provides kids and teens with the chance to build outstanding problem-solving skills in math without any external help. Based on a brand-new teaching technology, this highly interactive software will help you much more effectively than any classroom teacher.

EMMentor includes a set of original interactive training techniques and a unique system of performance analysis with methodical feedbacks. Each technique consists of a set of questions asked at each step of task performance and a system of multiple choice answers with hints. Based on an analysis of your answers, the software detects gaps in your theoretical knowledge and problem-solving skills and summarises your errors. To correct errors and develop missing skills, EMMentor offers an optimal set of exercises.

The error analysis is made for a particular task performance, as well as for a number of tasks performed during the selected period of time. EMMentor shows, in tables and on plots, how many errors were made and how many hints were used at each step of solution within one technique, the distributions of errors and hints throughout the techniques, over formulas and other math categories, the total number of errors per topic, etc. The concluding methodical recommendations are based on an objective analysis of these joint error distributions. Any teacher or tutor will find this function to be extremely useful.

As a multilingual tutoring program, EMMentor offers a way for children to learn math lexicon in a foreign language. Translation of any text to German or another available language is easily obtained by double-clicking on it. Those kids who study not in a native language will find this option invaluable.

Covered subject areas are arithmetic, pre-algebra, algebra, trigonometry and hyperbolic trigonometry. All math problems are graded in 11 complexity classes from basic to advanced and provided with fully explained step by step solutions. Comprehensive tutoring material is provided for each solution step. The available test authoring options automate development of tests, quizzes, homeworks and exams. All developed materials can be printed out or stored in a file and re-used.

2. SKILLS COVERED

Arithmetic and Pre-Algebra: Operations: multiplication, division, addition, subtraction. Fractions, powers. Numeric expressions: estimation, equivalencies, problem-solving. Solving arithmetic problems using algebraic formulas.

Algebra: Polynomial and fractional rational expressions: transformation, simplification, evaluation. Solution of linear, quadratic, cubic, biquadratic, reciprocal and fractional algebraic equations and inequalities. Proofs of algebraic identities. Solution methods: Substitution, factoring, grouping, Bezout theorem, formulas of short multiplication, method of intervals and more. Related theory: definitions and rules, proof of algebraic formulas and theorems.

Trigonometry and Hyperbolic Trigonometry: trigonometric and hyperbolic functions, arcus functions. Trigonometric and hyperbolic expressions: transformation, simplification, evaluation. Solution of trigonometric and hyperbolic equations. Proofs of trigonometric and hyperbolic identities. Solution methods: universal substitution, sum, product and addition of trigonometric functions, power reduction, multiple argument, shift of argument and more. Related theory: definitions and rules, proof of trigonometric and hyperbolic formulas.

3. USER OPTIONS

For math students: You will get a diagnosis of all vacancies in your math skills. You can train the missing problem solving skills with the help of dozens of interactive training techniques. You can effectively learn definitions, rules and other math concepts, study solution methods, pick up skills of verbal formulation of math transformations, learn proofs of math formulas and theorems, develop reasoning skills etc. And in parallel, you can learn math lexicon in a foreign language!

For math teachers: You can use an extensive bank of math problems; arrange problems by topic, complexity level, solution method and type of task; compile math tests, quizzes, homeworks and exams of varied complexity; create your own didactic materials and problem-solving lesson plans; generate numerous similar variants of math tests; use dozens of ready variant tests. For each student of yours, you can get an objective analysis of his/her work, revealing his/her weak and strong points, together with an optimal set of tasks for error correction.


back Contents of the program

Themes

Chapters and sections
back Rational equations
Chapters
Sections

Linear equations

  • Linear equations. Elementary linear equations
  • Linear equations. Linear equations containing fractions
  • Linear equations. Linear equations. Distributive law
  • Linear equations. Equations reduced to linear equations. Formulas of short multiplication
  • Linear equations. Linear equations. Formulas of short multiplication. Cubes
  • Linear equations. Linear equations. Properties of powers
  • Linear equations. Equations reduced to linear equations
  • Linear equations. Homographic equations with rational coefficients. Properties of fractions
  • Linear equations. Homographic equations with integer coefficients. Properties of fractions
  • Linear equations. Homographic equations with integer coefficients. Method of substitution
  • Linear equations. Homographic equations with rational coefficients. Method of substitution
  • Linear equations. Linear equations. Factorization of quadratic trinomial
  • Linear equations. Equations reduced to linear. Method of substitution. Distributive law
  • Linear equations. Equations reduced to linear. Method of substitution. Distributive law. Formulas of short multiplication
  • Linear equations. Equations reduced to linear. Method of substitution. Properties of powers
  • Linear equations. Equations reduced to linear. Method of substitution. Decomposition of quadratic trinomial
  • Linear equations. Equations reduced to linear. Properties of fractions. Distributive law
  • Linear equations. Equations reduced to linear. Properties of fractions. Formulas of short multiplication
  • Linear equations. Equations reduced to linear. Properties of fractions. Properties of powers
  • Linear equations. Equations reduced to linear. Properties of fractions. Factorization of quadratic trinomial

Quadratic equations

  • Quadratic equations. Elementary quadratic equations
  • Quadratic equations. Quadratic equations containing fractions
  • Quadratic equations. Equations with integer coefficients. Distributive law
  • Quadratic equations. Quadratic equations. Formulas of short multiplication
  • Quadratic equations. Quadratic equations with rational coefficients. Distributive law
  • Quadratic equations. Equations reduced to quadratic. Factorization of quadratic trinomial
  • Quadratic equations. Equations reduced to quadratic. Properties of powers
  • Quadratic equations. Fractional algebraic equations reduced to quadratic equations. Distributive law
  • Quadratic equations. Equations. Grouping method
  • Quadratic equations. Equations. Method of substitution. Distributive law. Integer coefficients
  • Quadratic equations. Equations. Method of substitution. Distributive law. Rational coefficients
  • Quadratic equations. Equations. Method of substitution. Formulas of short multiplication
  • Quadratic equations. Equations. Method of substitution. Properties of fractions
  • Quadratic equations. Equations. Method of substitution. Grouping method
  • Quadratic equations. Equations. Method of substitution. Factorization of quadratic trinomial
  • Quadratic equations. Fractional equations. Method of substitution. Distributive law
  • Quadratic equations. Fractional equations reduced to quadratic equations. Method of substitution
  • Quadratic equations. Fractional equations. Method of substitution. Formulas of short multiplication
  • Quadratic equations. Fractional algebraic equations reduced to quadratic equations. Formulas of short multiplication

Cubic equations

  • Cubic equations. Cubic equations in reduced form
  • Cubic equations. Cubic equations in general form

Algebraic equations. Method of substitution

  • Algebraic equations. Method of substitution. Elementary biquadratic equations
  • Algebraic equations. Method of substitution. Algebraic equations reduced to biquadratic equations
  • Algebraic equations. Method of substitution. Algebraic equations. Linear substitution
  • Algebraic equations. Method of substitution. Algebraic equations. Quadratic substitution
  • Algebraic equations. Method of substitution. Algebraic equations. Homographic substitution
  • Algebraic equations. Method of substitution. Reciprocal equations
  • Algebraic equations. Method of substitution. Algebraic equations reduced to reciprocal

Algebraic high-degree equations

  • Algebraic high-degree equations. High-degree equations. Bezout theorem. Integer roots
  • Algebraic high-degree equations. High-degree equations. Bezout theorem. Irrational roots
  • Algebraic high-degree equations. High-degree equations reduced to the form allowing application of the Bezout theorem. Integer roots
  • Algebraic high-degree equations. High-degree equations. Grouping method
  • Algebraic high-degree equations. High-degree equations. Perfect square
  • Algebraic high-degree equations. High-degree equations reduced to the form allowing application of the Bezout theorem. Irrational roots
  • Algebraic high-degree equations. High-degree equations. Formulas of short multiplication
  • Algebraic high-degree equations. High-degree equations. Difference of squares
  • Algebraic high-degree equations. High-degree equations. Factorization of quadratic trinomial
  • Algebraic high-degree equations. High-degree equations. Properties of fractions
  • Algebraic high-degree equations. High-degree equations. Difference and sum of cubes
  • Algebraic high-degree equations. High-degree equations. Method of substitution

Fractional algebraic equations

  • Fractional algebraic equations. Elementary fractional algebraic equations
  • Fractional algebraic equations. Fractional algebraic equations reduced to linear equations
  • Fractional algebraic equations. Fractional algebraic equations reduced to quadratic equations
  • Fractional algebraic equations. Fractional algebraic equations reduced to cubic equations
  • Fractional algebraic equations. Fractional algebraic equations reduced to biquadratic equations
  • Fractional algebraic equations. Fractional algebraic equations reduced to reciprocal equations
  • Fractional algebraic equations. Fractional algebraic equations reduced to quadratic equations. Method of substitution
  • Fractional algebraic equations. Fractional algebraic equations. Method of substitution

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