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HP Prime Guide Algebra Fundamentals: HP Prime Revealed and Extended

HP Prime Guide Algebra Fundamentals: HP Prime Revealed and Extended

by Larry S Schroeder

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Welcome to HP Prime Guide Algebra Fundamentals, HP Prime Innovation in Education Series.

There is no one road to the learning of mathematics. Different approaches for different learners are needed to take learners to where they want to go. The goal of this guide is to give you the flexibility of various approaches aided by the use of the HP Prime to reach your goals.

Manual explanations of math concepts in the guide are accompanied by HP Prime illustrations that can be used with the calculator, computer software, and iOS/ Android/ Windows app. Techniques, examples, and exercises can be done using any of the platforms.

The HP Prime Guide Algebra Fundamentals emphasis is its attention on math standards that work. Significant time is spent on learning math by using methods that have shown to be successful in the classroom. There is additional emphasis given to building blocks topics.

HP Prime Calculator, HP Prime/Pro, and HP Prime Free Revealed and Extended feature of the guide is used to show how the HP Prime Calculator, HP Prime/Pro, and HP Prime Free commands and functions can be used to work individual problems as well as how they can be extended to help us understand complex math concepts or create a set of tools that can help with problem solving.

Upon mastery of the manual techniques apply the HP Prime Calculator, HP Prime/Pro, and HP Prime Free solutions to increase your efficiency and problem solving power. Concentrate on the solution without being bogged down with traditional labor-intense steps. Embrace failure; use your additional time, to attempt more word and real world problems.

The HP Prime Guide Algebra Fundamentals is available in print and a digital learning eBook. In the digital eBook version, every example is followed by an interactive reinforcement exercise. Hyperlinks are used to references earlier discussions of a topic, future discussions of a topic, websites, Table of Contents entries, and Detailed Index entries. The hyperlinks are shown as underlined text in the print version. This enables us to see where the eBook’s links are. The solutions to the reinforcement exercises are in the back of the printed and eBook versions with eBook's solution linked back to the topic's explanation.

In addition to the print version, the guide is available on various eBook readers and eBook applications, be it a stand-alone reader, on a phone, tablet, pc, or through a web-browser. The content in the Guide uses mathematical notation, text, graphics, and HP Prime screenshots. The eBook version takes advantage of the resolution of the display. The real-time access, anytime, anyplace nature of the eBook version, allows a new way for you to gain the math knowledge and skills necessary to succeed in the classroom, at your job, and in your personal pursuit of learning. The print version gives you the option of using a traditional book.

An innovative approach is to use HP Prime Calculator, HP Prime/Pro, and HP Prime Free Computer Algebra Solutions (CAS) as an aide in moving forward. In lessons requiring a concept that you have not yet mastered, use the HP Prime Calculator, HP Prime/Pro, and HP Prime Free CAS solutions to assist with class assignments, allowing you to keep current. You keep moving forward with the new material, giving you additional time to master the concept causing problems.

Larry Schroeder

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Product Details

ISBN-13: 9780915573097
Publisher: Larry Schroeder
Publication date: 09/15/2017
Series: HP Prime Innovation in Education Series
Sold by: Barnes & Noble
Format: NOOK Book
Pages: 284
File size: 9 MB

About the Author

Larry holds a Master of Science and Bachelor of Science in mathematics from Western Illinois University. His electronic training and experience from the military plus having taught at the elementary, secondary, and college level helped motivate his passion for incorporating educational technology so that all students, young or old, can meet their dreams and goals. For 27 years Larry taught math and computer science at Carl Sandburg College. In addition to instruction, he coordinated the faculty technology efforts and oversaw the school's online courses. He was the chief designer of a faculty WebCT course that won international recognition as one of the top ten exemplary courses in the world. He is also proud of his involvement with the University of Illinois higher education's extending technology efforts and Carl Sandburg College's secondary and elementary outreach initiatives that assist other educators with their student use of technology in the learning process. Now retired, he enjoys riding his bike, coaching his granddaughter's basketball team, and spending time in general with his family, especially his wife, children and grandchildren.

Table of Contents


Table of Contents

Welcome and What We’re All About. 9

Understanding the HP Prime Family of Graphing Calculator. 11

HP Family. 11

HP Prime Handheld Essentials. 12

HP Prime Virtual Computer Software Essentials. 12

HP Prime iOS/ Android/ Windows Apps Essentials. 12

Explanation 1.1 - Real Numbers. 15

Exponential Notation.. 15

Order of Operations. 20

The Set of Real Numbers. 22

Decimal Representation for the Real Numbers. 23

Representing Real Numbers on a Number Line. 26

Introduction to Absolute Value. 27

Absolute Value and Distance. 28

Programming Related Information.. 33

Gauss Anecdote. 46

Investigation.. 47

Explanation 1.2 - Operations and Properties of Real Numbers. 51

Addition and Subtraction of Real Numbers. 51

Rules for Addition of Two Real Numbers. 52

Rule for Subtraction of Two Real Numbers. 52

Alternate Approach to Addition and Subtraction of Real Numbers. 54

Collecting Like Terms – Part 1.. 60

Basic Properties of Algebra. 60

Multiplication and Division of Real Numbers. 62

Additional Properties. 70

Collecting Like Terms – Part 2.. 77

Explanation 1.3 - Integer Exponents. 83

Integer Exponents. 83

Additional Exponential Properties. 95

Scientific Notation.. 98

Explanation 1.4 – Radicals and Rational Exponents. 113

Radicals and Their Properties. 113

Rational Exponents. 130

Reducing the Index. 137

Rationalizing Denominators. 141

Explanation 1.5 - Algebraic Expressions. 147

Adding and Subtracting Polynomials. 147

Multiplying Polynomials. 149

Special Product Formulas. 151

Explanation 1.6 - Factoring. 155

Common Factors. 157

Factoring Trinomials. 159

Factor by Grouping. 164

Special Factoring Formulas. 165

Explanation 1.7 – Rational Expressions. 169

Simplifying Rational Expressions. 174

Multiplying and Dividing Rational Expressions. 176

Adding and Subtracting Rational Expressions. 178

Compound Fractions. 182

Apartment Complex Revenue. 219

Solutions 1.1 - Real Numbers. 231

Solutions 1.2 - Operations and Properties of Real Numbers. 235

Solutions 1.3 Integer Exponents. 239

Solutions 1.4 – Radicals and Rational Exponents. 245

Solutions 1.5 – Algebraic Expressions. 251

Solutions 1.6 – Factoring. 255

Solutions 1.7 – Rational Expressions. 259

Detailed Index: HP Prime Techniques. 275

Overview.. 275

HP Prime Techniques. 275

Works Cited.. 283


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