Teaching the Common Core Math Standards with Hands-On Activities, Grades 6-8 E-Book

Judith A. Muschla

• Herausgeber: John Wiley & Sons
• Kategorie: Bildung
• Sprache: Englisch

Seitenzahl: 326

Veröffentlichungsjahr: 2012

Beschreibung

Helpful advice for teaching Common Core Math Standards to middle-school students The new Common Core State Standards for Mathematics have been formulated to provide students with instruction that will help them acquire a thorough knowledge of math at their grade level, which will in turn enable them to move on to higher mathematics with competence and confidence. Hands-on Activities for Teaching the Common Core Math Standards is designed to help teachers instruct their students so that they will better understand and apply the skills outlined in the Standards. This important resource also gives teachers a wealth of tools and activities that can encourage students to think critically, use mathematical reasoning, and employ various problem-solving strategies. * Filled with activities that will help students gain an understanding of math concepts and skills correlated to the Common Core State Math Standards * Offers guidance for helping students apply their understanding of math concepts and skills, develop proficiency in calculations, and learn to think abstractly * Describes ways to get students to collaborate with other students, utilize technology, communicate ideas about math both orally and in writing, and gain an appreciation of the significance of mathematics to real life This practical and easy-to-use resource will help teachers give students the foundation they need for success in higher mathematics.

Leseprobe

Table of Contents

Jossey-Bass Teacher

Title Page

Copyright

About this Book

About the Authors

Acknowledgments

Section 1: Standards and Activities for Grade 6

Ratios and Proportional Relationships: 6.RP.1

Ratios and Proportional Relationships: 6.RP.2

Ratios and Proportional Relationships: 6.RP.3

The Number System: 6.NS.1

The Number System: 6.NS.2

The Number System: 6.NS.3

The Number System: 6.NS.4

The Number System: 6.NS.5

The Number System: 6.NS.6

The Number System: 6.NS.7

The Number System: 6.NS.8

Expressions and Equations: 6.EE.1

Expressions and Equations: 6.EE.2

Expressions and Equations: 6.EE.3

Expressions and Equations: 6.EE.4

Expressions and Equations: 6.EE.5

Expressions and Equations: 6.EE.6

Expressions and Equations: 6.EE.7

Expressions and Equations: 6.EE.8

Expressions and Equations: 6.EE.9

Geometry: 6.G.1

Geometry: 6.G.2

Geometry: 6.G.3

Geometry: 6.G.4

Statistics and Probability: 6.SP.1

Statistics and Probability: 6.SP.2

Statistics and Probability: 6.SP.3

Statistics and Probability: 6.SP.4

Statistics and Probability: 6.SP.5

Section 2: Standards and Activities for Grade 7

Ratios and Proportional Relationships: 7.RP.1

Ratios and Proportional Relationships: 7.RP.2

Ratios and Proportional Relationships: 7.RP.3

The Number System: 7.NS.1

The Number System: 7.NS.2

The Number System: 7.NS.3

Expressions and Equations: 7.EE.1

Expressions and Equations: 7.EE.2

Expressions and Equations: 7.EE.3

Expressions and Equations: 7.EE.4

Geometry: 7.G.1

Geometry: 7.G.2

Geometry: 7.G.3

Geometry: 7.G.4

Geometry: 7.G.5

Geometry: 7.G.6

Statistics and Probability: 7.SP.1

Statistics and Probability: 7.SP.2

Statistics and Probability: 7.SP.3

Statistics and Probability: 7.SP.4

Statistics and Probability: 7.SP.5

Statistics and Probability: 7.SP.6

Statistics and Probability: 7.SP.7

Statistics and Probability: 7.SP.8

Section 3: Standards and Activities for Grade 8

The Number System: 8.NS.1

The Number System: 8.NS.2

Expressions and Equations: 8.EE.1

Expressions and Equations: 8.EE.2

Expressions and Equations: 8.EE.3

Expressions and Equations: 8.EE.4

Expressions and Equations: 8.EE.5

Expressions and Equations: 8.EE.6

Expressions and Equations: 8.EE.7

Expressions and Equations: 8.EE.8

Functions: 8.F.1

Functions: 8.F.2

Functions: 8.F.3

Functions: 8.F.4

Functions: 8.F.5

Geometry: 8.G.1

Geometry: 8.G.2

Geometry: 8.G.3

Geometry: 8.G.4

Geometry: 8.G.5

Geometry: 8.G.6

Geometry: 8.G.7

Geometry: 8.G.8

Geometry: 8.G.9

Statistics and Probability: 8.SP.1

Statistics and Probability: 8.SP.2

Statistics and Probability: 8.SP.3

Statistics and Probability: 8.SP.4

Index

Jossey-Bass Teacher

Jossey-Bass Teacher provides educators with practical knowledge and tools to create a positive and lifelong impact on student learning. We offer classroom-tested and research-based teaching resources for a variety of grade levels and subject areas. Whether you are an aspiring, new, or veteran teacher, we want to help you make every teaching day your best.

From ready-to-use classroom activities to the latest teaching framework, our value-packed books provide insightful, practical, and comprehensive materials on the topics that matter most to K–12 teachers. We hope to become your trusted source for the best ideas from the most experienced and respected experts in the field.

Copyright © 2012 by Judith A. Muschla, Gary Robert Muschla, and Erin Muschla. All rights reserved.

The Domains, Standards, and Clusters, © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

Published by Jossey-Bass

A Wiley Imprint

One Montgomery Street, Suite 1200, San Francisco, CA 94104-4594—www.josseybass.com

No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning, or otherwise, except as permitted under Section 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, 978-750-8400, fax [phone], or on the Web at www.copyright.com. Requests to the publisher for permission should be addressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, 201-748-6011, fax [phone], or online at www.wiley.com/go/permissions.

Permission is given for individual classroom teachers to reproduce the pages and illustrations for classroom use. Reproduction of these materials for an entire school system is strictly forbidden.

Limit of Liability/Disclaimer of Warranty: While the publisher and author have used their best efforts in preparing this book, they make no representations or warranties with respect to the accuracy or completeness of the contents of this book and specifically disclaim any implied warranties of merchantability or fitness for a particular purpose. No warranty may be created or extended by sales representatives or written sales materials. The advice and strategies contained herein may not be suitable for your situation. You should consult with a professional where appropriate. Neither the publisher nor author shall be liable for any loss of profit or any other commercial damages, including but not limited to special, incidental, consequential, or other damages. Readers should be aware that Internet Web sites offered as citations and/or sources for further information may have changed or disappeared between the time this was written and when it is read.

Jossey-Bass books and products are available through most bookstores. To contact Jossey-Bass directly call our Customer Care Department within the U.S. at 800-956-7739, outside the U.S. at 317-572-3986, or fax [phone].

Wiley publishes in a variety of print and electronic formats and by print-on-demand. Some material included with standard print versions of this book may not be included in e-books or in print-on-demand. If this book refers to media such as a CD or DVD that is not included in the version you purchased, you may download this material at http://booksupport.wiley.com. For more information about Wiley products, visit www.wiley.com.

Library of Congress Cataloging-in-Publication Data

Muschla, Judith A.

Teaching the common core math standards with hands-on activities, grades 6-8 / Judith A. Muschla, Gary Robert Muschla, and Erin Muschla. — 1st ed.

p. cm. — (Jossey-Bass teacher)

Includes index.

ISBN 978-1-118-10856-7 (pbk.)

1. Mathematics—Study and teaching (Middle school)—United States. 2. Mathematics—Study and teaching (Middle school)—Activity programs—United States. 3. Mathematics—Study and teaching (Middle school)—Standards—United States. 4. Middle school education—Curricula—Standards—United States. I. Muschla, Gary Robert. II. Muschla, Erin. III. Title.

QA135.6.M87 2012

510.71′273—dc23

2012001576

About this Book

The Common Core State Standards Initiative for Mathematics identifies the concepts and skills that students should understand and be able to apply at their grade level. Mastery of these concepts and skills will enable them to move on to higher mathematics with competence and confidence.

Teaching the Common Core Math Standards with Hands-On Activities, Grades 6–8 offers activities that support your instruction of the Standards. The Table of Contents provides a list of the Standards and supporting activities and reproducibles, enabling you to easily find material for developing your lessons. The book is divided into three sections:

Section 1: Standards and Activities for Grade 6

Section 2: Standards and Activities for Grade 7

Section 3: Standards and Activities for Grade 8

Each activity is prefaced with the Domain, which is a group of related Standards, and the specific Standard. For example, “Expressions and Equations: 6.EE.8” refers to the Domain, which is Expressions and Equations, Grade 6, and Standard 8. Background information on the topic for the teacher, materials—other than typical classroom supplies—and any special preparation that is needed are also included. Where applicable, the activities are identified with icons that indicate a major component of the activity will be cooperative learning , technology , or real-world focus . All of the activities include a brief summary and specific steps for implementation. They are designed to build on concepts and skills that you have already taught and are ideal for expanding the scope of your instruction through reinforcement, enrichment, and extensions.

Each Standard is supported by at least one activity. The typical activity can be completed in one class period and focuses on application, demonstration of understanding, and communication about math. It may include creating mathematical models, charts, and graphs that explain concepts or skills; conducting investigations with manipulatives (both physical and virtual); playing mathematical games; writing problems and explanations; and making presentations that demonstrate students' understanding of a specific Standard. Because many of the activities offer multiple avenues for development and learning, we invite you to modify them according to the needs of your students. Answer keys are included where necessary; however, most activities are open-ended.

To augment your implementation of the activities, consider the following:

Preview every Web site and work through any exercises so that you are better able to offer guidance during the activity.

Place the URLs of Web sites in your browser to make the Web site easy to access.

Enlarge and/or laminate any cards (often cut out from reproducibles) for future use with other students.

Use a variety of instructional tools, such as traditional boards, whiteboards, overhead projectors, and digital projectors.

For activities in which students play a game, you might want to provide a homework pass or other prize to the winners.

We hope that you and your students find the activities of this resource both interesting and enjoyable, and that the activities help you to guide your students to mastery of the concepts and skills of the Standards at your grade level. Please accept our best wishes for a wonderful year.

Judith A. Muschla

Gary Robert Muschla

Erin Muschla

About the Authors

Judith A. Muschla received her BA in Mathematics from Douglass College at Rutgers University and is certified to teach K–12. She taught mathematics in South River, New Jersey, for over twenty-five years at various levels at both South River High School and South River Middle School. As a team leader at the middle school, she wrote several math curriculums, coordinated interdisciplinary units, and conducted mathematics workshops for teachers and parents. She has also served as a member of the state Review Panel for New Jersey's Mathematics Core Curriculum Content Standards.

Together, Judith and Gary Muschla have coauthored several math books published by Jossey-Bass: Hands-On Math Projects with Real-Life Applications, Grades 3–5 (2009); The Math Teacher's Problem-a-Day, Grades 4–8 (2008); Hands-On Math Projects with Real-Life Applications, Grades 6–12 (1996; second edition, 2006); The Math Teacher's Book of Lists (1995; second edition, 2005); Math Games: 180 Reproducible Activities to Motivate, Excite, and Challenge Students, Grades 6–12 (2004); Algebra Teacher's Activities Kit (2003); Math Smart! Over 220 Ready-to-Use Activities to Motivate and Challenge Students, Grades 6–12 (2002); Geometry Teacher's Activities Kit (2000); and Math Starters! 5- to 10-Minute Activities to Make Kids Think, Grades 6–12 (1999).

Gary Robert Muschla received his BA and MAT from Trenton State College and taught in Spotswood, New Jersey, for more than twenty-five years at the elementary school level. He is a successful author and a member of the Authors Guild and the National Writers Association. In addition to math resources, he has written several resources for English and writing teachers, among them Writing Workshop Survival Kit (1993; second edition, 2005); The Writing Teacher's Book of Lists (1991; second edition, 2004); Ready-to Use Reading Proficiency Lessons and Activities, 10th Grade Level (2003); Ready-to-Use Reading Proficiency Lessons and Activities, 8th Grade Level (2002); Ready-to-Use Reading Proficiency Lessons and Activities, 4th Grade Level (2002); Reading Workshop Survival Kit (1997); and English Teacher's Great Books Activities Kit (1994), all published by Jossey-Bass.

Erin Muschla received her BS and MEd from The College of New Jersey. She is certified to teach grades K–8 with Mathematics Specialization in Grades 5–8. She currently teaches math at Monroe Township Middle School in Monroe, New Jersey, and has presented workshops for math teachers for the Association of Mathematics Teachers of New Jersey. She coauthored three books with Judith and Gary Muschla for Jossey-Bass: The Algebra Teacher's Guide to Reteaching Essential Concepts and Skills (2011), The Elementary Teacher's Book of Lists (2010), and the Math Teacher's Survival Guide, Grades 5–12 (2010).

Acknowledgments

We thank Jeff Gorman, Ed.D., Assistant Superintendent of Monroe Township Public Schools, Chari Chanley, Ed.S., Principal of Monroe Township Middle School, and James Higgins, Vice Principal of Monroe Township Middle School, for their support.

We also thank Kate Bradford, our editor at Jossey-Bass, for her guidance and suggestions in yet another book.

Special thanks to Diane Turso, our proofreader, for her efforts in helping us get this book into its final form.

Our thanks to our many colleagues who, over the years, have encouraged us in our work.

And, of course, we wish to acknowledge the many students we have had the satisfaction of teaching.

Section 1

Standards and Activities for Grade 6

Ratios and Proportional Relationships: 6.RP.1

“Understand ratio concepts and use ratio reasoning to solve problems.”

1. “Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.”

Background

A ratio is a comparison of two numbers. A ratio can compare a part to a whole, a whole to a part, a part of a whole to another part, or a rate (a comparison of two different quantities).

Ratios may be expressed in three ways: with “to,” by a colon, or by a fraction bar. For example, a ratio that compares the value of a quarter to a dollar can be expressed as 1 to 4, 1:4, or .

Activity: Ratios All Around Us

Working in groups of three or four, students will select a topic and write ratios that compare numbers associated with their topic. They will then create a poster, illustrating the meaning of select ratios.

Materials

Math, science, and social studies texts; reference books, particularly almanacs and atlases; poster paper; markers; rulers; scissors; glue sticks. Optional: computers with Internet access.

Procedure

1. Explain that numbers are constantly compared. Provide examples such as 1 inch on a map equals 50 miles, 1 pound of chopped meat makes 4 hamburgers, and a team's record of wins to losses is 2 to 1. These are all examples of ratios.