Rational Numbers To Linear Equations
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Rational Numbers To Linear Equations
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Author : Hung-Hsi Wu
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-06-18
Rational Numbers To Linear Equations written by Hung-Hsi Wu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-18 with Education categories.
This is the first of three volumes that, together, give an exposition of the mathematics of grades 9–12 that is simultaneously mathematically correct and grade-level appropriate. The volumes are consistent with CCSSM (Common Core State Standards for Mathematics) and aim at presenting the mathematics of K–12 as a totally transparent subject. The present volume begins with fractions, then rational numbers, then introductory geometry that can make sense of the slope of a line, then an explanation of the correct use of symbols that makes sense of “variables”, and finally a systematic treatment of linear equations that explains why the graph of a linear equation in two variables is a straight line and why the usual solution method for simultaneous linear equations “by substitutions” is correct. This book should be useful for current and future teachers of K–12 mathematics, as well as for some high school students and for education professionals.
Methods And Applications Of Error Free Computation
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Author : R. T. Gregory
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Methods And Applications Of Error Free Computation written by R. T. Gregory and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book is written as an introduction to the theory of error-free computation. In addition, we include several chapters that illustrate how error-free com putation can be applied in practice. The book is intended for seniors and first year graduate students in fields of study involving scientific computation using digital computers, and for researchers (in those same fields) who wish to obtain an introduction to the subject. We are motivated by the fact that there are large classes of ill-conditioned problems, and there are numerically unstable algorithms, and in either or both of these situations we cannot tolerate rounding errors during the numerical computations involved in obtaining solutions to the problems. Thus, it is important to study finite number systems for digital computers which have the property that computation can be performed free of rounding errors. In Chapter I we discuss single-modulus and multiple-modulus residue number systems and arithmetic in these systems, where the operands may be either integers or rational numbers. In Chapter II we discuss finite-segment p-adic number systems and their relationship to the p-adic numbers of Hensel [1908]. Each rational number in a certain finite set is assigned a unique Hensel code and arithmetic operations using Hensel codes as operands is mathe matically equivalent to those same arithmetic operations using the cor responding rational numbers as operands. Finite-segment p-adic arithmetic shares with residue arithmetic the property that it is free of rounding errors.
Elementary Mathematics
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Author : Anthony J. Pettofrezzo
language : en
Publisher:
Release Date : 1970
Elementary Mathematics written by Anthony J. Pettofrezzo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Algebra categories.
Pre Algebra Grades 5 8
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Author : Mary Lee Vivian
language : en
Publisher: Instructional Fair
Release Date : 2003
Pre Algebra Grades 5 8 written by Mary Lee Vivian and has been published by Instructional Fair this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Juvenile Nonfiction categories.
A top-selling teacher resource line, The 100+ Series(TM) features over 100 reproducible activities in each book! --This revised edition of Pre-Algebra links all the activities to the NCTM Standards. The activities were designed to provide students with practice in the skill areas necessary to master the concepts introduced in a course of pre-algebra. Reinforcing operations skills with both decimals and fractions plus activities involving ratios, integers, proportions, percents, rational numbers, simple equations, plotting coordinates, and graphing linear equations are all part of this new edition. Examples of solution methods are presented at the top of each page. New puzzles and riddles have been added to gauge the success of skills learned. It also contains a complete answer key.
Teaching School Mathematics Algebra
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Author : Hung-Hsi Wu
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-08-10
Teaching School Mathematics Algebra written by Hung-Hsi Wu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-10 with Algebra categories.
This is a systematic exposition of introductory school algebra written specifically for Common Core era teachers. The emphasis of the exposition is to give a mathematically correct treatment of introductory algebra. For example, it explains the proper use of symbols, why “variable” is not a mathematical concept, what an equation is, what equation-solving means, how to define the slope of a line correctly, why the graph of a linear equation in two variables is a straight line, why every straight line is the graph of a linear equation in two variables, how to use the shape of the graph of a quadratic function as a guide for the study of quadratic functions, how to define a parabola correctly, why the graph of a quadratic function is a parabola, why all parabolas are similar, etc. This exposition of algebra makes full use of the geometric concepts of congruence and similarity, and it justifies why the Common Core Standards on algebra are written the way they are.
Elementary Algebra
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Author : Charles P. McKeague
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Elementary Algebra written by Charles P. McKeague and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Elementary Algebra 2e, Second Edition focuses on the basic principles, operations, and approaches involved in elementary algebra. The book first tackles the basics, linear equations and inequalities, and graphing and linear systems. Discussions focus on the substitution method, solving linear systems by graphing, solutions to linear equations in two variables, multiplication property of equality, word problems, addition property of equality, and subtraction, addition, multiplication, and division of real numbers. The manuscript then examines exponents and polynomials, factoring, and rational expressions. Topics include dividing a polynomial by a polynomial, addition and subtraction of rational expressions, complex fractions, greatest common factor, factoring trinomials, quadratic equations, and division with exponents. The text takes a look at roots and radicals and more quadratic equations, including complex numbers, complex solutions to quadratic equations, graphing parabolas, fractional exponents, and ratio and proportion. The publication is a dependable reference for students and researchers interested in elementary algebra.
Introduction To Transcendental Numbers
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Author : Serge Lang
language : en
Publisher:
Release Date : 1966
Introduction To Transcendental Numbers written by Serge Lang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Transcendental numbers categories.
Experiencing Algebra
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Author : JoAnne Thomasson
language : en
Publisher: Prentice Hall
Release Date : 1998-08
Experiencing Algebra written by JoAnne Thomasson and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-08 with Mathematics categories.
"Experiencing Algebra" combines beginning and intermediate algebra concepts and actively involves readers in a “ total algebra experience.” Thomasson and Pesut integrate the use of technology (assuming no prior graphing calculator skills on the part of readers); allow readers to experience algebra through discovery and visualization; illustrate multiple approaches (numerical, graphical, algebraic, and verbal) to problem solving. Rational Numbers; Real Numbers; Variables, Expressions, Equations, and Formulas; Relations, Functions, and Graphs; Linear Equations in One Variable; Linear Equations and Functions in Two Variables; Systems of Linear Equations in Two Variables; Inequalities; Polynomial Functions; Working with Polynomial Expressions; Polynomial Equations and Inequalities in One Variable; Rational Expressions, Functions, and Equations; Radical Expressions, Expressions Containing Rational Exponents, Functions, and Equations; Complex Numbers; Exponential and Logarithmic Functions and Equations.
Matrix 8
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Author : Khurana Rohit
language : en
Publisher: Pearson Education India
Release Date : 2007-09
Matrix 8 written by Khurana Rohit and has been published by Pearson Education India this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09 with categories.
Figuring Out Fluency Operations With Rational Numbers And Algebraic Equations
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Author : Jennifer M. Bay-Williams
language : en
Publisher: Corwin Press
Release Date : 2022-07-25
Figuring Out Fluency Operations With Rational Numbers And Algebraic Equations written by Jennifer M. Bay-Williams and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-25 with Education categories.
"This book is awesome! What stood out to me was the deep understanding I was able to have about what fluency actually means. Too often the message has been fluency and accuracy, especially at the middle school level. By providing teachers with tools for building fluency with integers, expressions, and algebra, this book shifts that message to also focus on flexibility and strategy selection." Lindsey Henderson Secondary Mathematics Specialist, Utah State Board of Education Salt Lake City, UT Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. It is not about speed or recall. Real fluency is about choosing strategies that are efficient, flexible, lead to accurate solutions, and are appropriate for the given situation. Developing fluency is also a matter of equity and access for all learners. The landmark book Figuring Out Fluency in Mathematics Teaching and Learning offered educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. Now, teachers have the chance to apply that inspiration through explicit instruction and practice every day with the classroom companion Figuring Out Fluency—Operations With Rational Numbers and Algebraic Equations. With this book, teachers can Dive deeper into the Significant Strategies for fluency explained in the anchor book as they apply to rational number operations Explore how these strategies can be applied for proportional reasoning, solving equations for unknowns, and solving systems of linear equations Access over 100 classroom-ready activities, including worked examples, routines, and games. Find activities to explicitly teach students how to use and choose strategies to operate on rational numbers and solve algebraic equations Download all of the needed support tools, game boards, and other resources from the companion website for immediate implementation Give each and every student the knowledge and power to become skilled and confident mathematical thinkers and doers.