California Mathematics: Concepts, Skills, and Problem Solving, Grade 6

848 Pages·2008·57.55 MB·English

by  Day

i s e
nteractive tudent dition
Authors
Day (cid:127) Frey (cid:127) Howard (cid:127) Hutchens
Luchin (cid:127) McClain (cid:127) Molix-Bailey
Ott (cid:127) Pelfrey (cid:127) Price
Vielhaber (cid:127) Willard
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About the Cover
In 1880, the first San Diego County Fair was organized to bring
area farmers together to share ideas and hold competitions.
Since then the fair has been held almost every year and its
permanent home in Del Mar was opened in 1936. The fair is
now one of the largest in the United States with an average
daily attendance over 54,000 people. You’ll learn how to
compute averages and find other statistical measurements
in Chapter 9.
About the Graphics
Created with Mathematica. A rectangular array of circles is
progressively enlarged and rotated randomly. For more
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11/16/063:31:04PM
Copyright © 2008 by The McGraw-Hill Companies, Inc. All rights reserved. Except as
permitted under the United States Copyright Act, no part of this publication may be
reproduced or distributed in any form or by any means, or stored in a database or
retrieval system, without prior permission of the publisher.
Send all inquiries to:
Glencoe/McGraw-Hill
8787 Orion Place
Columbus, OH 43240-4027
ISBN: 978-0-07-877848-3
MHID: 0-07-877848-4
Printed in the United States of America.
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Start Smart: Be a Better Problem Solver
Unit 1 Algebra and Functions
1 Introduction to Algebra and Functions
2 Integers
3 Algebra: Linear Equations and Functions
Unit 2 Number Sense: Fractions
4 Fractions, Decimals, and Percents
5 Applying Fractions
Unit 3 Algebra and Number Sense: Proportions and Percents
6 Ratios and Proportions
7 Applying Percents
Unit 4 Statistics, Data Analysis, and Probability
8 Statistics: Analyzing Data
9 Probability
Unit 5 Geometry and Measurement
10 Geometry: Polygons
11 Measurement: Two- and Three-Dimensional Figures
Standards Review

12 Looking Ahead to Grade 7: Geometry and Measurement
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Authors
Rhonda J. Molix-Bailey Roger Day, Ph.D. Patricia Frey, Ed.D.
Mathematics Consultant Mathematics Department Math Coordinator at
Mathematics by Design Chair Westminster Community
DeSoto, Texas Pontiac Township High Charter School
School Buffalo, New York
Pontiac, Illinois
Arthur C. Howard Deborah A. Hutchens, Beatrice Luchin
Mathematics Teacher Ed.D. Mathematics Consultant
Houston Christian Principal League City, Texas
High School Chesapeake, Virginia
Houston, Texas
Contributing Author
Viken Hovsepian
Professor of Mathematics
Rio Hondo College
Whittier, California
iv Meet the Authors at ca.gr6math.com
Aaron Haupt
Kay McClain, Ed.D. Jack M. Ott, Ph.D. Ronald Pelfrey, Ed.D.
Assistant Professor Distinguished Professor Mathematics Specialist
Vanderbilt University of Secondary Education Appalachian Rural
Nashville, Tennessee Emeritus Systemic Initiative and
University of South Carolina Mathematics Consultant
Columbia, South Carolina Lexington, Kentucky
Jack Price, Ed.D. Kathleen Vielhaber Teri Willard, Ed.D.
Professor Emeritus Mathematics Consultant Assistant Professor
California State St. Louis, Missouri Department of Mathematics
Polytechnic University Central Washington
Pomona, California University
Ellensburg, Washington
Contributing Author
Dinah Zike
Educational Consultant
Dinah-Might Activities, Inc.
San Antonio, Texas
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Aaron Haupt
California Mathematics Advisory Board
Glencoe wishes to thank the following professionals for their invaluable
feedback during the development of the program. They reviewed the
table of contents, the prototype of the Teacher Wraparound Edition,
and the California Standards Review chapter.
Cheryl L. Avalos William M. Bokesch Patty Brown
Mathematics Consultant Rancho Bernardo High Teacher
Retired Teacher School John Muir Elementary
Hacienda Heights, California San Diego, California Fresno, California
David J. Chamberlain Eppie Chung Lisa Marie Cirrincione
Secondary Mathematics K-6 Teacher Middle School Teacher
Resource Teacher Modesto City Schools Lincoln Middle School
Capistrano Unified School Modesto, California Oceanside, California
District
San Juan Capistrano, California
Carol Cronk Ilene Foster Grant A. Fraser, Ph. D.
Mathematics Program Teacher Specialist– Professor of Mathematics
Specialist Mathematics California State University,
San Bernardino City Unified Pomona Unified School Los Angeles
School District District Los Angeles, California
San Bernardino, California Pomona, California
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Suzanne Bocskai Freire Beth Holguin Donna M. Kopenski, Ed. D. Kelly Mack
Teacher Teacher Mathematics Coordinator K-5 6th Grade Teacher
Kingswood Elementary Graystone Elementary City Heights Educational Captain Jason Dahl
Citrus Heights, California San Jose, California Collaborative Elementary
San Diego, California San Jose, California
Juvenal Martinez John McGuire Dr. Donald R. Price Kasey St. James
Dual Immersion/ESL Associate Principal Teacher, Adjunct Professor Mathematics Teacher
Instructor Pacific Union School Motivational Speaker Sunny Hills High School
Aeolian Elementary Arcata, California Rowland Unified School Fullerton, California
Whittier, California District
Rowland Heights, California
Arthur K. Wayman, Ph. D. Beverly Wells Frances Basich Whitney
Professor Emeritus First Grade Teacher Project Director, Mathematics
California State University, Mineral King Elementary K-12
Long Beach School Santa Cruz County Office of
Long Beach, California Visalia, California Education
Capitola, California
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Consultants
Glencoe/McGraw-Hill wishes to thank the following professionals for
their feedback. They were instrumental in providing valuable input
toward the development of this program in these specific areas.
Mathematical Content Graphing Calculator
Grant A. Fraser, Ph. D. Ruth M. Casey
Professor of Mathematics Mathematics Teacher
California State University, Los Angeles Department Chair
Los Angeles, California Anderson County High School
Lawrenceburg, Kentucky
Arthur K. Wayman, Ph. D.
Professor Emeritus Jerry Cummins
California State University, Long Beach Former President
Long Beach, California National Council of Supervisors of Mathematics
Western Springs, Illinois
Differentiated Instruction
Learning Disabilities
Nancy Frey, Ph. D.
Associate Professor of Literacy Kate Garnett, Ph. D.
San Diego State University Chairperson, Coordinator
San Diego, California Learning Disabilities
School of Education
Department of Special Education
English Language Learners
Hunter College, CUNY
Mary Avalos, Ph. D. New York, New York
Assistant Chair, Teaching and Learning
Assistant Research Professor
Mathematical Fluency
University of Miami, School of Education
Coral Gables, Florida Jason Mutford
Mathematics Instructor
Jana Echevarria, Ph. D.
Coxsackie-Athens Central School District
Professor, College of Education
Coxsackie, New York
California State University, Long Beach
Long Beach, California
Pre-AP
Josefina V. Tinajero, Ph. D.
Dean, College of Education Dixie Ross
The University of Texas at El Paso AP Calculus Teacher
El Paso, Texas Pflugerville High School
Pflugerville, Texas
Gifted and Talented
Reading and Vocabulary
Ed Zaccaro
Author Douglas Fisher, Ph. D.
Mathematics and science books for gifted children Director of Professional Development and Professor
Bellevue, Iowa City Heights Educational Collaborative
San Diego State University
San Diego, California
Lynn T. Havens
Director of Project CRISS
Kalispell School District
Kalispell, Montana
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California Reviewers
Each California Reviewer reviewed at least two chapters of the
Student Edition, giving feedback and suggestions for improving
the effectiveness of the mathematics instruction.
Mariana Alwell Derrick Chun Kei Hui Rudy C. Sass
Teacher & Mathematics Coach Certified BCLAD Mathematics Teacher Mathematics Chair
Garden Gate Elementary Natomas Middle School Orangeview Junior High School
Cupertino, California Sacramento, California Anaheim, California
Cheryl Anderson Robin Ingram David Schick
District Mathematics Resource Teacher Mathematics Instructor/Department Chair Mathematics Teacher
Cupertino School District Alta Sierra Intermediate School Wangenheim Middle School
Cupertino, California Clovis, California San Diego, California
Aimey Balderman Debra C. Lonso James Douglas Sherman
Mathematics Teacher Mathematics Teacher Pre-Algebra/Algebra Instructor, 7th/8th
Tommie Kunst Junior High School Dover Middle School grade
Santa Maria, California Fairfield, California Miller Middle School
San Jose, California
Kristine A. Banfe Roxanne Mancha
Mathematics Teacher Mathematics Department Chair Charles P. Toots
Hyde Middle School Crystal Middle School Mathematics Department Chairsperson
Cupertino, California Suisun City, California Le Conte Middle School
Los Angeles, California
Dianne Chrisman Mary Beth Moon
Mathematics Teacher Mathematics Teacher/Consulting Teacher Judith Vincent
Coronado High School Earl Warren Jr. High School Teacher
Coronado, California Bakersfield, California Cavitt Junior High School
Granite Bay, California
Patricia Elmore Grainne O’Malley
6th Grade Mathematics Teacher Middle School Mathematics Coordinator Carrie M. Wong
Heritage Intermediate School Crossroad Middle School 6th/7th Mathematics Teacher
Fontana, California Santa Monica, California Taylor Middle School
Millbrae, California
Jill Fetters Candice Richards
Mathematics Teacher Mathematics Teacher
Tevis Jr. High Newport Mesa Unified School District
Bakersfield, California Costa Mesa, California
Rosalee Hrubic Steven Robitaille
Staff Development Specialist, Secondary Mathematics Instructor
Mathematics Trabuco Hills High School
Riverside Unified School District Mission Viejo, California
Riverside, California
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