Essential Mathematics: Student Oriented Teaching or Self-Study

Author(s): Rudolf A Zimmer

Edition: 3

Copyright: 2016

Pages: 712

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Ebook

$77.79

ISBN 9781524902759

Details Electronic Delivery EBOOK 180 days

How does your current math text compare with Essential Mathematics?

  • A companion student manual provides an abundance of activities for students to practice their new skills.
  • An instructors manual contains diagnostic tests, complete solutions to test problems, and instructions for various uses of the text.
  • Learning objectives, check points, solutions to check point exercises, and a name/subject index are included in the main text.
  • Special units on solving formulas, word problems, and graphing help to pinpoint possible trouble areas for students.


Essential Mathematics: A Student Oriented Teaching or Self-Study Text, Third Edition, by Rudolf A. Zimmer is written for students needing a review of algebra and trigonometry basics. Essential Mathematics helps students develop a positive attitude about learning math. Not only does it help lessen students math anxiety, the text is such a complete package that it makes learning math easier for students, and teaching math easier for teachers.

Essential Mathematics consists of a text, a student manual, and an instructors manual. Teachers reduce their preparation time by using the diagnostic placement tests, answers to text exercises, instructions for the various ways of using the text, and materials to manage individual learners. Your students will benefit from the variety of exercises contained in the text:

  • study exercises with complete solutions
  • drill exercises with answers
  • assignment exercises with no answers


The student manual provides additional practice with self tests, complete solutions to all drill exercises, and answers to odd-numbered assignment exercises. All these hands-on problems help your students learn by doing. The text is divided into seven modules which may all be used to write lesson plans.

To the Student
To the Instructor
Preface to the Third Edition

Module 1 Operations with Whole Numbers and Fractions
Unit 1. Whole Numbers, Fundamental Operations
Unit 2. Exponents, Roots and Factors, Order of Operations
Unit 3. Fractions, Basic Concepts
Unit 4. Addition and Subtraction of Fractions, Mixed Numbers
Unit 5. Multiplication and Division of Fractions, Complex Fractions

Module 2 Operations with Decimals and Percents
Unit 6. Decimals
Unit 7. Introduction the Metric System (SI Units of Length)
Unit 8. Introduction to the Metric System (SI Units of Area, Volume and Mass)
Unit 9. Percents, Changing Fractions, Decimals and Percents to Equivalent Forms
Unit 10. The Three Types of Percent Problems

Module 3 Operations with Integers and Exponents
Unit 11. Signed Numbers
Unit 12. Addition and Subtraction of Signed Numbers
Unit 13. Multiplication and Division of Signed Numbers
Unit 14. Variable Expressions and Properties of Exponential Expressions
Unit 15. Working with Exponents, Scientific Notation

Module 4 Linear Equations, Operations with Algebraic Expressions
Unit 16. Addition and Subtraction of Algebraic Expressions
Unit 17. Linear Equations NEOne Variable
Unit 18. Applied Word Problems Involving Linear Equations
Unit 19. Multiplication of Algebraic Expressions
Unit 20. Division and Factoring of Simple Algebraic Expressions

Module 5 Operations with Fractional Expressions, Solving Formulas
Unit 21. Introduction to Algebraic Fractions, Equivalent Fractions
Unit 22. Multiplication and Division of Algebraic Fractions
Unit 23. Addition and Subtraction of Algebraic Fractions
Unit 24. Fractional Equations
Unit 25. Ratios, Proportions and Conversions
Unit 26. Applied Word Problems Involving Fractional Equations
Unit 27. Working with Formulas

Module 6 Graphing, Systems of Linear Equations
Unit 28. The Rectangular Coordinate System Equations in Two Variables
Unit 29. Graphing Linear Equations
Unit 30. Systems of Linear Equations in Two Variables and Applied Word Problems

Module 7 Basic Geometry and Trigonometry
Unit 31. Measurement Concepts
Unit 32. Basic Geometric Concepts: Angles, Triangles, Pythagorean Theorem
Unit 33. Basic Geometric Concepts: Perimeters, Areas, Volumes
Unit 34. Primary Trigonometric Ratios
Unit 35. Secondary (Reciprocal) Trigonometric Ratios
Unit 36. Applications in Technology of Right Triangular Trigonometry

Appendix 1 Additional Help in Solving Word Problems
Appendix 2 Solutions to Check Points and Answers to Drill Exercises
Index

Rudolf A Zimmer

How does your current math text compare with Essential Mathematics?

  • A companion student manual provides an abundance of activities for students to practice their new skills.
  • An instructors manual contains diagnostic tests, complete solutions to test problems, and instructions for various uses of the text.
  • Learning objectives, check points, solutions to check point exercises, and a name/subject index are included in the main text.
  • Special units on solving formulas, word problems, and graphing help to pinpoint possible trouble areas for students.


Essential Mathematics: A Student Oriented Teaching or Self-Study Text, Third Edition, by Rudolf A. Zimmer is written for students needing a review of algebra and trigonometry basics. Essential Mathematics helps students develop a positive attitude about learning math. Not only does it help lessen students math anxiety, the text is such a complete package that it makes learning math easier for students, and teaching math easier for teachers.

Essential Mathematics consists of a text, a student manual, and an instructors manual. Teachers reduce their preparation time by using the diagnostic placement tests, answers to text exercises, instructions for the various ways of using the text, and materials to manage individual learners. Your students will benefit from the variety of exercises contained in the text:

  • study exercises with complete solutions
  • drill exercises with answers
  • assignment exercises with no answers


The student manual provides additional practice with self tests, complete solutions to all drill exercises, and answers to odd-numbered assignment exercises. All these hands-on problems help your students learn by doing. The text is divided into seven modules which may all be used to write lesson plans.

To the Student
To the Instructor
Preface to the Third Edition

Module 1 Operations with Whole Numbers and Fractions
Unit 1. Whole Numbers, Fundamental Operations
Unit 2. Exponents, Roots and Factors, Order of Operations
Unit 3. Fractions, Basic Concepts
Unit 4. Addition and Subtraction of Fractions, Mixed Numbers
Unit 5. Multiplication and Division of Fractions, Complex Fractions

Module 2 Operations with Decimals and Percents
Unit 6. Decimals
Unit 7. Introduction the Metric System (SI Units of Length)
Unit 8. Introduction to the Metric System (SI Units of Area, Volume and Mass)
Unit 9. Percents, Changing Fractions, Decimals and Percents to Equivalent Forms
Unit 10. The Three Types of Percent Problems

Module 3 Operations with Integers and Exponents
Unit 11. Signed Numbers
Unit 12. Addition and Subtraction of Signed Numbers
Unit 13. Multiplication and Division of Signed Numbers
Unit 14. Variable Expressions and Properties of Exponential Expressions
Unit 15. Working with Exponents, Scientific Notation

Module 4 Linear Equations, Operations with Algebraic Expressions
Unit 16. Addition and Subtraction of Algebraic Expressions
Unit 17. Linear Equations NEOne Variable
Unit 18. Applied Word Problems Involving Linear Equations
Unit 19. Multiplication of Algebraic Expressions
Unit 20. Division and Factoring of Simple Algebraic Expressions

Module 5 Operations with Fractional Expressions, Solving Formulas
Unit 21. Introduction to Algebraic Fractions, Equivalent Fractions
Unit 22. Multiplication and Division of Algebraic Fractions
Unit 23. Addition and Subtraction of Algebraic Fractions
Unit 24. Fractional Equations
Unit 25. Ratios, Proportions and Conversions
Unit 26. Applied Word Problems Involving Fractional Equations
Unit 27. Working with Formulas

Module 6 Graphing, Systems of Linear Equations
Unit 28. The Rectangular Coordinate System Equations in Two Variables
Unit 29. Graphing Linear Equations
Unit 30. Systems of Linear Equations in Two Variables and Applied Word Problems

Module 7 Basic Geometry and Trigonometry
Unit 31. Measurement Concepts
Unit 32. Basic Geometric Concepts: Angles, Triangles, Pythagorean Theorem
Unit 33. Basic Geometric Concepts: Perimeters, Areas, Volumes
Unit 34. Primary Trigonometric Ratios
Unit 35. Secondary (Reciprocal) Trigonometric Ratios
Unit 36. Applications in Technology of Right Triangular Trigonometry

Appendix 1 Additional Help in Solving Word Problems
Appendix 2 Solutions to Check Points and Answers to Drill Exercises
Index

Rudolf A Zimmer