Simple Equations with Squares and Square Roots PDF Download

Author: Victoria. TAFE Board
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 4

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Author: Maria Miller
Publisher:
ISBN: 9781954358744
Category : Mathematics
Languages : en
Pages : 0

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Book Description
Math Mammoth Square Roots & The Pythagorean Theorem is a relatively short worktext focusing on irrational numbers, square roots, and the Pythagorean Theorem and its applications. First, students learn about taking a square root as the opposite operation to squaring a number. They learn about irrational numbers, and how to find approximations to square roots both with a calculator and with a guess-and-check method. Students also practice placing irrational numbers on the number line, using mental math to find their approximate location. Next, the book has a review lesson on how to convert fractions to decimals. The following lesson has to do with writing decimals as fractions, and teaches a method for converting repeating decimals to fractions. Then it is time to learn to solve simple equations that involve taking a square or cube root, over the course of two lessons. After learning to solve such equations, students are now fully ready to study the Pythagorean Theorem and apply it. The Pythagorean Theorem is introduced in the lesson by that name. Students learn to verify that a triangle is a right triangle by checking whether it fulfills the Pythagorean Theorem. They apply their knowledge about square roots and solving equations to solve for an unknown side in a right triangle when two of the sides are given. Next, students solve a variety of geometric and real-life problems that require the Pythagorean Theorem. This theorem is extremely important in many practical situations. Students should show their work for these word problems to include the equation that results from applying the Pythagorean Theorem to the problem and its solution. There are literally hundreds of proofs for the Pythagorean Theorem. In this book, we present one easy proof based on geometry (not algebra). As an exercise, students are asked to supply the steps of reasoning to another geometric proof of the theorem. Students also study a proof for the converse of the theorem, which says that if the sides of a triangle fulfill the equation a2 + b2 = c2 then the triangle is a right triangle. Our last topic is distance between points in the coordinate grid, as this is another simple application of the Pythagorean Theorem.

Author: Lynn Marecek
Publisher:
ISBN: 9781951693848
Category :
Languages : en
Pages :

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Author: Lynn Marecek
Publisher:
ISBN: 9781680923261
Category :
Languages : en
Pages : 1148

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The images in this book are in color. For a less-expensive grayscale paperback version, see ISBN 9781680923254. Prealgebra 2e is designed to meet scope and sequence requirements for a one-semester prealgebra course. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics. Students who are taking basic mathematics and prealgebra classes in college present a unique set of challenges. Many students in these classes have been unsuccessful in their prior math classes. They may think they know some math, but their core knowledge is full of holes. Furthermore, these students need to learn much more than the course content. They need to learn study skills, time management, and how to deal with math anxiety. Some students lack basic reading and arithmetic skills. The organization of Prealgebra makes it easy to adapt the book to suit a variety of course syllabi.

Author: Henry OTTLEY (the Elder.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 44

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Author: Jay Abramson
Publisher:
ISBN: 9789888407439
Category : Mathematics
Languages : en
Pages : 892

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College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they've learned. Coverage and Scope In determining the concepts, skills, and topics to cover, we engaged dozens of highly experienced instructors with a range of student audiences. The resulting scope and sequence proceeds logically while allowing for a significant amount of flexibility in instruction. Chapters 1 and 2 provide both a review and foundation for study of Functions that begins in Chapter 3. The authors recognize that while some institutions may find this material a prerequisite, other institutions have told us that they have a cohort that need the prerequisite skills built into the course. Chapter 1: Prerequisites Chapter 2: Equations and Inequalities Chapters 3-6: The Algebraic Functions Chapter 3: Functions Chapter 4: Linear Functions Chapter 5: Polynomial and Rational Functions Chapter 6: Exponential and Logarithm Functions Chapters 7-9: Further Study in College Algebra Chapter 7: Systems of Equations and Inequalities Chapter 8: Analytic Geometry Chapter 9: Sequences, Probability and Counting Theory

Author: Charles Attwood
Publisher: Pergamon
ISBN:
Category : Mathematics
Languages : en
Pages : 148

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Author: Bahman Kalantari
Publisher: World Scientific
ISBN: 9812700595
Category : Computers
Languages : en
Pages : 492

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This book offers fascinating and modern perspectives into the theory and practice of the historical subject of polynomial root-finding, rejuvenating the field via polynomiography, a creative and novel computer visualization that renders spectacular images of a polynomial equation. Polynomiography will not only pave the way for new applications of polynomials in science and mathematics, but also in art and education. The book presents a thorough development of the basic family, arguably the most fundamental family of iteration functions, deriving many surprising and novel theoretical and practical applications such as: algorithms for approximation of roots of polynomials and analytic functions, polynomiography, bounds on zeros of polynomials, formulas for the approximation of Pi, and characterizations or visualizations associated with a homogeneous linear recurrence relation. These discoveries and a set of beautiful images that provide new visions, even of the well-known polynomials and recurrences, are the makeup of a very desirable book. This book is a must for mathematicians, scientists, advanced undergraduates and graduates, but is also for anyone with an appreciation for the connections between a fantastically creative art form and its ancient mathematical foundations.

Author: Stephen Boyd
Publisher: Cambridge University Press
ISBN: 1316518965
Category : Business & Economics
Languages : en
Pages : 477

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Book Description
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Author: Arben Alimi
Publisher: Createspace Independent Publishing Platform
ISBN: 9781537597492
Category :
Languages : en
Pages : 74

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Book Description
Simplify Square Roots This book is meant to teach you almost everything you need to know so that you can seamlessly simplify algebraic expressions composed of square roots. Square Roots is a collection of 50 carefully selected and solved exercises. All the examples are solved step-by-step, without a step skipped. Not only are the solutions easy to read and follow, but there are plenty of detailed explanations in plain English as well. There is nothing for you to solve on your own. We did the solving. All that is expected from you is to do the learning. Go over the easy to understand examples and let your brain enjoy and digest the solutions. If you are a beginner student, there are many easy examples so that you can build a strong foundation. If you are an advanced student, there are lots of challenging and refreshing examples too. Whether you are a beginner or advanced student, you will benefit greatly from this book and all confusion about simplifying square root expressions will be removed, and your confidence in manipulating algebraic expressions will increase. You will learn: What type of operation square roots are How to perform basic operations on square roots, such as addition, multiplication etc. How to simplify complex Math expressions which contain square roots, cubic roots etc. How to express square roots in other forms, such as decimal, exponential etc. Other Algebra techniques Consider this book as a personal voiceless Tutor, yet very loud in providing clarity. This book-Tutor is trying very hard to make it easy and fun while you are sharpening your skills on how to simplify complex Square Root expressions.