Tennessee Algebra 2 Curriculum Companion - My HRW

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T10 HOLT MCDOUGAL Algebra 2. Standards. Descriptor. Citations. 3103.1.6. Use graphical representations to perform operations on complex numbers.
Tennessee Algebra 2 Curriculum Companion Teacher’s Edition

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Copyright © 2012 by Houghton Mifflin Harcourt Publishing Company All rights reserved. No part of this work may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying or recording, or by any information storage and retrieval system, without the prior written permission of the copyright owner unless such copying is expressly permitted by federal copyright law. Requests for permission to make copies of any part of the work should be addressed to Houghton Mifflin Harcourt Publishing Company, Attn: Contracts, Copyrights, and Licensing, 9400 South Park Center Loop, Orlando, Florida 32819. Printed in the U.S.A. ISBN

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AUTHORS Edward B. Burger, Ph.D., is Professor of Mathematics at Williams College and is the author of numerous articles, books, and videos. He has won several of the most prestigious writing and teaching awards offered by the Mathematical Association of America. Dr. Burger has made numerous television and radio appearances and has given countless mathematical presentations around the world.

Freddie L. Renfro, MA, has 35 years of experience in Texas education as a classroom teacher and director/coordinator of Mathematics PreK-12 for school districts in the Houston area. She has served as a reviewer and TXTEAM trainer for Texas Math Institutes and has presented at numerous math workshops.

David J. Chard, Ph.D., is the Leon Simmons Dean of the School of Education and Human Development at Southern Methodist University. He is a past president of the Divison of Research at the Council for Exceptional Children, a member of the International Academy for Research on Learning Disabilities, and has been the Principal Investigator on numerous research projects for the U.S. Department of Education.

Tom W. Roby, Ph.D., is Associate Professor of Mathematics and Director of the Quantitative Learning Center at the University of Connecticut. He founded and directed the Bay Area-based ACCLAIM professional development program. He also chaired the advisory board of the California Mathematics Project and reviewed content for the California Standards Tests.

Paul A. Kennedy, Ph.D., is a professor and Distinguished University Teaching Scholar in the Department of Mathematics at Colorado State University. Dr. Kennedy is a leader in mathematics education. His research focuses on developing algebraic thinking by using multiple representations and technology. He is the author of numerous publications.

Bert K. Waits, Ph.D., is a Professor Emeritus of Mathematics at The Ohio State University and cofounder of T3 (Teachers Teaching with Technology), a national professional development program. Dr. Waits is also a former board member of the NCTM and an author of the original NCTM Standards.

Steven J. Leinwand is a Principal Research Analyst at the American Institutes for Research in Washington, D.C. He was previously, for 22 years, the Mathematics Supervisor with the Connecticut Department of Education.

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TENNESSEE REVIEWER Marcia L. White Memphis City Schools District Mathematics Specialist

REVIEWERS Mary Anderson Mathematics Department Chair Community High School District 99 South Downers Grove, IL

Patricia Daley Mathematics Teacher, retired Fairfield High School Fairfield, CT

Dave Barker Mathematics Department Chair Los Alamitos High School Los Alamitos, CA

Mohamad Elkhatib Mathematics Department Chair Jones High School Houston Community College Instructor Houston, TX

MaryLane Blomquist Mathematics Department Chair Kewaskum High School Kewaskum, WI William L. Bonney Mathematics Department Chair Ballard High School Seattle, WA Suzanne Castren Mathematics Teacher Williamsville South High School Williamsville, NY Lala Geraldine Chambers, NBCT Mathematics Department Chair Forest Hill High School Jackson, MS

Marti Freihofer Mathematics Department Chair Scott High School Taylor Mill, KY Mary Gesino Mathematics Department Co-Chair R. L. Turner High School Carrollton, TX Marilyn Gutman Mathematics Department Chair Mayfield High School Las Cruces, NM Jim Harrington Supervisor of Mathematics Omaha Public Schools Omaha, NE

Joan Chrismer-McNatt Mathematics Teacher Clear Creek High School League City, TX

Marieta W. Harris Mathematics Specialist Memphis, TN

Roy L. Conwell, Jr. Mathematics Department Chair Sam Houston High School Houston, TX

Jere Hassberger, PhD Mathematics Department Chair Saline High School Saline, MI

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REVIEWERS James Patrick Herrington Mathematics Department Chair O’Fallon Township High School O’Fallon, IL

Saundra Paschal Mathematics Department Chair Lake View High School San Angelo, TX

Margie Hill District Coordinating Teacher for Mathematics, K-12 Blue Valley USD 229 Overland Park, KS

Carolyn Randolph Mathematics Department Chair Academic Director Kendrick High School Columbus, GA

Dr. Douglas Lohnas Director of Mathematics Niskayuna Central School District Niskayuna, NY

Sarah Ritch Mathematics Department Chair Hebron High School Carrollton, TX

Brenda Lynch Mathematics Department Chair Montgomery High School Montgomery, TX

Paul Schwiegerling Gifted Mathematics Program SUNY at Buffalo Buffalo, NY

Dr. Charlotte May Mathematics Teacher Austin ISD Austin, TX

Katie Smith Mathematics Department Chair Berea High School Greenville, SC

Ruth Harbin Miles K-12 Coordinator of Mathematics Olathe USD 233 Olathe, TX

Stephanie Turner Former Mathematics Teacher Colleyville Heritage High School Colleyville, TX

FIELD TEST PARTICIPANTS

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Gerri Chambers-McGee Forest Hill High School Jackson, MS

Lisa Pope Jacobs High School Cincinnati, OH

Stephanie Cundiff Mesa Ridge High School Colorado Springs, CO

Niki Robinson Navasota High School Navasota, TX

Eddie Hancock Navasota High School Navasota, TX

Piper Singleton Pershing High School Detroit, MI

Brenda Lynch Montgomery High School Montgomery, TX

Dierdre M. Watkins Dunwoody High School Dunwoody, GA

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TENNESSEE MATHEMATICS ALGEBRA 2 CURRICULUM COMPANION Teacher Edition Contents Correlation to Tennessee’s Standards . . . . . . . . . . . . . . . T8 Scope and Sequence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T26 Essential Course of Study . . . . . . . . . . . . . . . . . . . . . . . . T38 Student Edition Contents . . . . . . . . . . . . . . . . . . . . . . . . TN8 Student Guide to Tennessee’s Standards . . . . . . . . . . TN22 Countdown to EOC . . . . . . . . . . . . . . . . . . . . . . . . . . . . . TN32 Are You Ready? Pre-Course Test . . . . . . . . . . . . . . . . . . TN56 Additional Topics A-5 Using Technology Wisely . . . . . . . . . . . . . . . . . . . . . . . . . . AT16 A-6 Solve Systems Using a Graphing Calculator. . . . . . . AT18 A-7 Systems of Quadratic Inequalities . . . . . . . . . . . . . . . . . AT19 A-8 Proving Properties of Logarithms . . . . . . . . . . . . . . . . . AT21 A-9 Data Displays . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . AT22 A-10 Appropriate Data Displays. . . . . . . . . . . . . . . . . . . . . . . . . AT27 A-11 Measures of Variation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . AT33 A-12 Sampling Techniques . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . AT38 A-13 Surveys . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . AT44 A-14 Experiments and Observational Studies . . . . . . . . . . AT50

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Tennessee Tennessee Mathematics Curriculum Framework Algebra II Standards

Descriptor

Citations

STANDARD I – MATHEMATICAL PROCESSES Grade Level Expectations CLE 3103.1.1

Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely in mathematical reasoning.

SE: 902–907, AT12–AT15, AT21 Reasoning occurs throughout in Critical Thinking exercises. See, for example: 11, 18, 25, 40, 49, 56, 65, 72, 95, 101, 111, 122, 129, 130, 139

CLE 3103.1.2

Apply and adapt a variety of appropriate strategies to problem solving, including testing cases, estimation, and then checking induced errors and the reasonableness of the solution.

SE: Occurs throughout. See, for example: 37, 126, 207–208, 280–281, 368–369, 447–448, 540, 602, 675, 770–771, 839, 872–873, 968, 1029–1030

CLE 3103.1.3

Develop inductive and deductive reasoning to independently make and evaluate mathematical arguments and construct appropriate proofs; include various types of reasoning, logic, and intuition.

SE: 33, 286, 314, 332, 452, 497, 530, 568, 591, 670–671, 836, 899, 942, 1006, AT12–AT15, AT21

CLE 3103.1.4

Move flexibly between multiple representations (contextual, physical, written, verbal, iconic/pictorial, graphical, tabular, and symbolic), to solve problems, to model mathematical ideas, and to communicate solution strategies.

SE: Occurs throughout. See, for example: 37, 126, 207–208, 280–281, 368–369, 447–448, 540, 602, 654–661, 675, 698–704, 770–771, 839, 872–873, 968, 1029–1030

CLE 3103.1.5

Recognize and use mathematical ideas and processes that arise in different settings, with an emphasis on formulating a problem in mathematical terms, interpreting the solutions, mathematical ideas, and communication of solution strategies.

SE: Occurs throughout. See, for example: 37, 126, 207–208, 280–281, 368–369, 447–448, 540, 602, 675, 770–771, 839, 872–873, 968, 1029–1030

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HOLT MCDOUGAL Algebra 2

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