Kimberly Gores - CliffsNotes Algebra I Common Core Quick Review

About the Author

Kimberly Gores, M.A.T., has been a mathematics educator and researcher for over 15 years. Gores has taught introductory and advanced algebra and mathematics classes at the middle school, high school, and college levels. She is currently a math teacher at Coeur dAlene High School, Idaho.

Editorial

Executive Editor: Greg Tubach

Senior Editor: Christina Stambaugh

Production Editor: Erika West

Copy Editor: Lynn Northrup

Technical Editors: Mary Jane Sterling and Tom Page

Proofreader: Pamela Weber-Leaf

Indexer: Potomac Indexing, LLC

CliffsNotes Algebra I Common Core Quick Review

Copyright 2017 by Houghton Mifflin Harcourt Publishing Company

All rights reserved.

Library of Congress Control Number: 2016943153
ISBN: 978-0-544-73410-4 (pbk)
eISBN: 978-0-544-73418-0
v1.0916

For information about permission to reproduce selections from this book, write to trade.permissions@hmhco.com or to Permissions, Houghton Mifflin Harcourt Publishing Company, 3 Park Avenue, 19th Floor, New York, New York 10016.

www.hmhco.com

The publisher and the author make no representations or warranties with respect to the accuracy or completeness of the contents of this work and specifically disclaim all warranties, including without limitation warranties of fitness for a particular purpose. No warranty may be created or extended by sales or promotional materials. The advice and strategies contained herein may not be suitable for every situation. This work is sold with the understanding that the publisher is not engaged in rendering legal, accounting, or other professional services. If professional assistance is required, the services of a competent professional person should be sought. Neither the publisher nor the author shall be liable for damages arising herefrom. The fact that an organization or Website is referred to in this work as a citation and/or a potential source of further information does not mean that the author or the publisher endorses the information the organization or Website may provide or recommendations it may make. Further, readers should be aware that Internet Websites listed in this work may have changed or disappeared between when this work was written and when it is read.

Trademarks: CliffsNotes, the CliffsNotes logo, Cliffs, CliffsAP, CliffsComplete, CliffsQuickReview, CliffsStudySolver, CliffsTestPrep, CliffsNote-a-Day, cliffsnotes.com, and all related trademarks, logos, and trade dress are trademarks or registered trademarks of Houghton Mifflin Harcourt and/or its affiliates. All other trademarks are the property of their respective owners. Houghton Mifflin Harcourt is not associated with any product or vendor mentioned in this book.

Common Core State Standards Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

This product is not sponsored or endorsed by the Common Core State Standards Initiative of the National Governors Association Center for Best Practices and the Council of Chief State School Officers.

C liffsNotes Algebra I Common Core Quick Review is designed to give a clear, concise, easy-to-use review of algebra and functions concepts. Introducing each topic strand, defining key terms, and carefully walking through each sample problem type in a step-by-step manner gives you insight into algebraic operations and problem-solving techniques.

The prerequisite to getting the most out of this book is an understanding of the important concepts of basic mathworking with fractions, decimals, percents, and signed numbers. CliffsNotes Algebra I Common Core Quick Review starts with a short review of foundations for understanding algebra in . Chapters 2 through 12 focus on the fundamental concepts of algebra and functions.

Throughout this book, you will find that the topic strands are aligned with the Common Core State Standards for Mathematics (CCSSM). Algebraic concepts presented are closely interrelated to a broader set of Common Core Mathematics conceptual categories:

• numbers and quantity

• algebra

• functions

• modeling

• geometry

• statistics and probability

The CCSSM define what you should know and what you should be able to execute using an integrated approach from each of these domains that builds upon your strengths to critically think at a higher level of mathematics.

CliffsNotes Algebra I Common Core Quick Review gives you a strong foundation in Common Core Mathematics by incorporating both procedural and conceptual approaches within each topic. These approaches provide a foundation for mathematical reasoning that emphasizes mathematical literacy and makes connections between mathematical concepts and real-word applications. Real-world application problems and problem-solving techniques are discussed within each chapter to help you develop a deeper understanding of the topic strands related to Common Core Mathematics algebra.

CliffsNotes Algebra I Common Core Quick Review topic strands connect with the essential Common Core Mathematics practice to:

• Make sense of problems, persevere in solving problems, and continue to monitor and evaluate progress.

• Reason abstractly and quantitatively to describe relationships between numbers and variables.

• Construct viable arguments and analyze your reasoning as you deconstruct, organize, and make sense of algebraic problems.

• Justify your plausible conclusions and clarify your explanations of algebraic problems.

• Model with mathematics by mapping, drawing, graphing, and using visual diagrams to validate your conclusion in the context of an algebraic scenario.

• Use appropriate tools strategically (electronic calculators, software, or any other technology) to strengthen your understanding of algebraic concepts.

• Attend to precision as you carefully check your own reasoning to find the correct solutions to algebraic problems.

• Look for and make use of structural patterns in algebraic problems while paying attention to groupings, properties, and order of operations.

• Look for and express algebraic reasoning problems regularly to improve algebraic proficiency.

Can you answer yes to any of the following questions?

• Do you need to review the fundamentals of algebra?

• Do you need a course supplement to Algebra I?

• Do you need a course that integrates Algebra I with Common Core Mathematics reasoning skills?

• Do you need a concise, comprehensive reference for algebraic concepts?

If so, then CliffsNotes Algebra I Common Core Quick Review is for you!

You can use this book in any way that fits your personal style for study and reviewyou decide what works best for your needs. You can read the book from cover to cover, or just look for the information you want and put it back on the shelf for later. Most people find it useful to follow the recommended sequence of topics in chapters 112. For example, by first reviewing general arithmetic principles and operations discussed in , you are preparing yourself to tackle the more challenging algebraic application problems presented in subsequent chapters.