Additional Learning Resources 9 · Math and Science Across Cultures: Activities and Investigations from the Exploratorium Authors: Bazin, Maurice and Tamez, Modesto Annotation This

Mathematics Additional Learning

Resources

SaskatchewanLearning Resources

2010

9

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Mathematics: Additional Learning Resources • Grade 9

Mathematics: Additional Learning Resources • Grade 9 |

Mathematics

Additional Learning Resources 9

Prepared by:

Curriculum and E-Learning Branch

Ministry of Education

2010


Mathematics: additional learning resources 9 ISBN 978-1-926631-97-4 1. Mathematics – Study and teaching (Middle school) – Bibliography. I. Saskatchewan Ministry of Education. Curriculum and E-Learning. Science and Technology Unit.016.37272372.72016All rights for images of books or other publications are reserved by the original copyright owners.


| Mathematics: Additional Learning Resources • Grade 9


Mathematics: Additional Learning Resources • Grade 9 | iii

Table of Contents

Foreword............................................................................................................... ...v

Manipulatives.........................................................................................................vi

Print,.Audio-visual,.and.Other.Resources....................................................... ...1

Digital.Resources................................................................................................. 19



Mathematics: Additional Learning Resources • Grade 9 | v

Foreword

This list of learning resources identifies high-quality resources that have been recommended by the Ministry of Education to support the curriculum, Mathematics 9. This list will be updated as new resources are recommended and older ones are no longer available. A list of

core learning resources can be found on the Ministry of Education website.

(CAN) indicates that a Canadian contributed to the development of the resource and/or that it includes Canadian content. (SK) indicates that a Saskatchewan person contributed to the development of the resource and/or that it includes Saskatchewan content. Resources evaluated and recommended as support for the Western and Northern Canadian Protocol frameworks and Saskatchewan’s provincial curricula have the designation (WNCP) before the annotation.

Other resources beyond those recommended in this list may effectively support Mathematics 9. It remains the responsibility of educators to preview and select materials that best meet the needs of their students, school, and community. Educators should choose these materials in accordance with the school division’s learning resources selection policy.

Pricing of the learning resources contained in this list is subject to change without notice.

Manipulatives are an essential component of an effective mathematics program, leading to the development of deeper understanding of mathematical concepts. Included are charts outlining the types of manipulatives needed, the suggested uses, and the suggested quantity (where appropriate). Some manipulatives may be collected; others may be constructed; and many may be purchased. The main distributors for these materials are Exclusive Educational Products at www.exclusiveeducational.ca and Spectrum Nasco Educational Supplies Ltd. at www.spectrumed.com. Please consult these companies’ catalogues for purchasing information.

The Ministry of Education expresses its appreciation to publishers, producers, and distributors who have provided learning resources for evaluation, and gratefully acknowledges the contributions made by educators who served as evaluators.

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Mathematics: Additional Learning Resources • Grade 9 | vii

ManipulativesItem Suggested Uses (Strands) Suggested Quantity

Alge-tiles Patterns and Relations Number

6-10 sets per classroom (approximately 1 set per 3 students)

Balance Patterns and Relations 1 per two students

Calculator (4 operations) Across strands 1 per student

Pattern and Fraction Blocks Number 4 sets of each per class

3-D Geometric Shapes

- Power Solids

Shape and Space 5 sets per class

Geoboards (that link to give co-ordinate plane, geobands)

Shape and Space 4 per 2 students

Mira/Reflect View Shape and Space 1 per 2 students

Patty Paper Shape and Space 1 package per class

Grid Paper (including transparent) Number Patterns and Relations Shape and Space

As required

Function Graphing Utility (Graphing calculator or access to computer program)

Patterns and Relations 1 per two students

Protractor, Compass, and Straight Edge Shape and Space 1 of each, per student

Various Media (e.g., magazines, newspapers, Internet, databases)

Statistics and Probability As required


Mathematics: Additional Learning Resources • Grade 9 | 1


Print, Audio-visual, and Other Resources

All of the AboveAuthor: Pearsall, ShelleyIllustrator: Steptoe, Javaka

AnnotationFour inner-city students decide to build the world’s largest tetrahedron. The story is told through many characters in the story. The four students are Sharice, James, Rhondell, and Marcel. The connector between the students and the community is Mr. Collins, the teacher, who had the idea for the tetrahedron project.

The story is based on a true event. In 2002, four students in Cleveland, Ohio built the world’s largest tetrahedron, using 16 384 tetrahedrons. At the end of the book is an author’s note on the project and a reader’s guide.

Suggested UseShape and Space

PublisherLittle, Brown Books for Young Readers

DistributorH. B. Fenn & Company Ltd.34 Nixon RdBOLTON ON L7E 1W2(800) 267-3366(905) 951-6600Fax: (800) 465-3422E-mail: [email protected]: www.hbfenn.com

Price: $7.25 pbk.Pagination: 234 p.ISBN: 978-0-316-11526-1

Copyright: 2006Year Recommended: 2009

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2 | Mathematics: Additional Learning Resources • Grade 9

Suggested UsesNumberShape and SpaceStatistics and Probability

Publisher/DistributorRogue Media Inc.234-5149 Country Hills Blvd. N.W., Suite 211CALGARY AB T3A 5K8(403) 202-2557Fax: (403) 202-2590E-mail: [email protected]: www.roguemedia.ca


ContinuumAuthor: Belanger, Carol

Annotation(CAN) This interdisciplinary resource connects mathematics to the real world using a thematic approach. Each unit is designed to review and introduce mathematical concepts around a particular theme, and culminate in a theme-based project. Some of the other mathematical concepts reviewed in the units are from previous grade level content. The student text includes a table of contents, a glossary, an answer section, and an index.

The teacher’s manual provides instructional notes for each tutorial, reproducible pages, and sample post-tests, as well as holistic generic rubrics.

Note: There is an emphasis on comparing and converting between Imperial and Metric units of measurement.

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Title ISBN PriceStudent Textbook 978-0-9688975-3-9 $87.70

hdc.

Teacher’s Resource Manual

978-0-9688975-2-2 $213.65 coil-bound



G is for Googol: A Math Alphabet BookAuthor: Schwartz, David M.Illustrator: Moss, Marissa

AnnotationThis book highlights one or more mathematical concepts, ideas, or symbols for each letter of the alphabet. It offers a thorough description of each term, often with possible connections to other topics. As well, interesting (and sometimes humourous) examples are included. A table of contents and a glossary are provided.

Suggested UseNumber

PublisherTricycle Press

DistributorRandom House of Canada Limited2775 Mathemson Blvd EMISSISSAUGA ON L4W 4P7(888) 523-9292Fax: (888) 562-9924E-mail: [email protected]: www.randomhouse.ca

Price: $19.99 hdc.Pagination: 57 p.ISBN: 978-1-883672-58-4


Reprinted with permission from G is for Googol by David M. Schwartz. Text copyright © 1998 by David M. Schwartz, Illustrations copyright © 1998 by Marissa Moss, Tricycle Press, Berkeley, CA.

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Suggested UseShape and Space

PublisherKey Curriculum Press

DistributorSpectrum Educational Supplies Ltd.150 Pony DrNEWMARKET ON L3Y 7B6(800) 668-0600(905) 898-0031Fax: (800) 668-0602E-mail: [email protected]: www.spectrumed.com



Geometry Labs: Activities for Grades 8-11Author: Picciotto, Henri

AnnotationThis resource features activities that focus on building critical thinking skills in geometry. Through the use of manipulative materials, students investigate problems relating to angles, polygons, symmetry, the Pythagorean Theorem, area, and volume. Each activity is followed by questions that could be used to provoke further class discussion, or as a means of assessing mathematical understanding. Answer key and black-line masters are included.

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Math and Science Across Cultures: Activities and Investigations from the ExploratoriumAuthors: Bazin, Maurice and Tamez, Modesto

AnnotationThis resource makes a variety of cross-curricular connections using games, and real-world activities from different cultures. Each chapter begins with a world map highlighting a particular country or countries. Lessons include cultural and content-specific information. The activities encourage hands-on exploration of concepts using critical and creative thinking. Three to four activities from diverse locations around the world are organized under each of the following broad categories: "Patterns and Play", "Counting and Calendars", "Social and Cultural Traditions", and "Subsistence and Survival". This resource offers an integrated approach to teaching mathematics and science as well as other subject areas.

Suggested UseProfessional Resource

PublisherThe New Press

DistributorUniversity of Toronto Press5201 Dufferin StDOWNSVIEW ON M3H 5T8(800) 565-9523(416) 667-7791Fax: (800) 221-9985E-mail: [email protected]: www.utpress.utoronto.ca/



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Mathematics Assessment: A Practical Handbook for Grades 9-12, 4th ed.Editors: Bush, William S. and Greer, Anja S.

AnnotationThis resource considers new ways to assess students, focuses on assessment tasks, offers ways to plan and conduct a classroom assessment program, and discusses the scoring, grading, reporting, and use of assessment data. The editors provide opportunities for teachers to reflect on their teaching practice and how they use mathematical assessment in the classroom.

The book includes a table of contents, a listing of resources, and an index.


Publisher/DistributorNational Council of Teachers of Mathematics1906 Association DrRESTON VA 20191-1502(800) 235-7566(703) 620-9840Fax: (703) 476-2970E-mail: [email protected]: www.nctm.org

Price: $33.95 U.S. pbk.Pagination: 149 p.ISBN: 978-0-87353-476-5


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Mental Math in Junior High: Blackline MastersAuthors: Hope, Jack A., Reys, Barbara J., and Reys, Robert E.

Annotation(CAN, WNCP) This resource presents strategies for teaching mental mathematics. It focuses on more difficult mental calculations with whole numbers. Students learn such techniques as searching for compatibles, tacking on trailing zeros, and front end multiplying. Thirty-six lessons are organized in four units: “The Memory of a Mentalmathlete”, “Doing Several Things at Once”, “Complicated Mental Calculations”, and “An Interesting Number Pattern”. Each lesson contains an introductory page to the new mental mathematics strategy, a power-builder page, two sets of practice problems, and a review page. There is a progress test, with suggestions for administration, at the end of each unit. A cumulative test designed to be used as a pre-test and post-test, and answer keys for all practice sets and tests are also provided. Please note that Imperial measures are used occasionally.

Suggested UseNumber

PublisherDale Seymour Publications

DistributorPearson Education CanadaSchool Division195 Harry Walker Pky NNEWMARKET ON L3Y 7B4(800) 361-6128(905) 853-7888Fax: (800) 563-9196E-mail: [email protected]: www.pearsonschoolcanada.ca/



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Niktu: A Game of Algebraic ThinkingAuthors: Greenes, Carole and Findell, Caro

AnnotationEach level of this game offers a progressively more advanced review of algebraic concepts within a small group setting. The games allow students to achieve curriculum goals in number sense and logical thinking.

Each playing card contains an algebraic equation with a missing numeral. Players take turns rolling a die and substituting the rolled number for the missing variable. They attempt to solve the equation before the timer runs out. Players compare answers, using their communication skills, and critical and creative thinking to justify and explain their answers. The resulting discussion also provides the teacher with a window into students’ thought processes and level of understanding. Concepts addressed include order of operations, inverse operations, fractional values, and integers. Variations for each game are included.

Suggested UseNumber

PublisherThe Wright Group

Publisher/DistributorMcGraw-Hill Ryerson Limited300 Water StWHITBY ON L1N 9B6(800) 565-5758(905) 430-5000Fax: (800) 463-5885E-mail: [email protected]: www.mcgrawhill.ca

Price: $32.35 each kit


Title Grade ISBNLevel 1 3-6 978-1-4045-1361-7

Level 2 5-8 978-1-4045-1362-4

Level 3 6-8 978-1-4045-1363-1

Level 4 7-9 978-1-4045-1364-8

Level 5 8-10 978-1-4045-1365-5

Level 6 9-10 978-1-4045-1366-2

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The Number Devil: A Mathematical AdventureAuthor: Enzensberger, Hans MagnusIllustrator: Berner, Susanne Rotraut

AnnotationRobert’s dreams transport him to a bizarre mathematical world. The “Number Devil” accompanies Robert in his nightly explorations of numbers and patterns. Their adventures lead to many discoveries and Robert’s eventual love of numbers. Throughout Robert’s dreams, the duo examines number concepts that include multiplication patterns, prime numbers, infinity, Fibonacci numbers, and Pascal’s Triangle.

Suggested UsesNumberPatterns and Relations

PublisherSt. Martin’s Press

DistributorH. B. Fenn & Company Ltd.34 Nixon RdBOLTON ON L7E 1W2(800) 267-3366(905) 951-6600Fax: (800) 465-3422E-mail: [email protected]: www.hbfenn.com



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Suggested UseStatistics and Probability

PublisherNational Film Board

DistributorMedia Group2710 Millar AveSASKATOON SK S7K 4J4(888) 682-8808 (306) 933-4212Fax: (877) 444-3354E-mail: [email protected]: http://videodb.mg.sk.ca

Price: $1.00 per program and the cost of ablank disc, plus shipping and taxes

Length: 11 min.Order No.: V3593


Of Dice and MenAnnotationThis animated program introduces the theory of probability. Viewers learn of its inception in the seventeenth century to settle a dispute over a game of dice, its relationship to predictability, and its application to everyday situations – like the chances of being involved in an accident.

The pdf version of the teacher’s guide is available from Media Group. Please contact Media Group for details.

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Suggested UseNumber

PublisherHoliday House, Incorporated

DistributorThomas Allen & Son, Limited390 Steelcase Road EastMARKHAM ON L3R 1G2 (905) 853-475-9126 Fax: (800) 563-9196 E-mail: [email protected] Website: www.thomas-allen.com



Of Numbers and Stars: The Story of HypatiaAuthor: Love, D. AnneIllustrator: Paparone, Pam

AnnotationRaised during the fourth century C.E. in Alexandria, Egypt, Hypatia became an authority in mathematics. Hypatia’s father, Theon, believed that she should be educated the same as a boy. Theon was a professor at the university and taught Hypatia all that he knew. Hypatia became fascinated with numbers after watching Theon write number sentences. Other scholars sought Hypatia’s opinions on mathematics, science, or philosophy.

The book includes a bibliography, a brief description of the word “mathematics”, and an author’s note about Hypatia.

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Out of the Labyrinth: Setting Mathematics FreeAuthors: Kaplan, Robert and Kaplan, Ellen

AnnotationWritten as a guide for parents and educators, this book argues that math should be taught as the highest form of intellectual play rather than as a step-by-step acquisition of skills and facts. The authors emphasize that math is meant to be explored, and that it does not require special talent or ability.


Publisher/DistributorOxford University Press70 Wynford DrDON MILLS ON M3C 1J9(800) 387-8020(416) 441-2941Fax: (800) 665-1771E-mail: [email protected]: www.oup.com/ca/



Cover from "Out of the Labyrinth: Setting Mathematics Free" by Kaplin, Robert & Kaplin, Ellen (2007) Free permission. By permission of Oxford University Press, Inc.

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The Pattern and Function ConnectionAuthor: Fulton, Brad S. and Lombard, Bill

AnnotationThrough study and analysis of patterns, this resource provides support for building logical understanding of relations, linear and nonlinear functions, and function rotation. Authentic applications are posed in the suggested activities, discussions, journal topics, and homework assignments.






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Teaching Mathematics Through Problem Solving: Grades 6-12Editor: Schoen, Harold L.

AnnotationThis volume and its companion atr professional research-based resources that promote a problem-solving approach to mathematics instruction. This approach engages students in making sense of problematic tasks in which mathematical concepts are embedded. The writers address issues and perspectives related to this approach, provide suggestions to select and use appropriate tasks and learning tools, and provide examples of the use of this approach in various classroom settings.


Publisher/DistributorNational Council of Teachers of Mathematics1906 Association DrRESTON VA 20191-1502(800) 235-7566(703) 620-9840Fax: (703) 476-2970E-mail: [email protected]: www.nctm.org

Price: $38.95 U.S. pbk.Pagination: 270 p.ISBN: 978-0-87353-541-0


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Teaching Mathematics Vocabulary in Context: Windows, Doors, and Secret PassagewaysAuthor: Murray, Miki

AnnotationThis professional resource for teachers focuses on strategies to help students develop a deeper understanding of mathematical language, and to enable them to use it when describing mathematical concepts and relationships across the strands. Concrete examples illustrate how teachers can promote mathematical understanding and reflection through discourse, writing, and the use of vocabulary in context. Examples include the use of reflection, journals, homework, and self-assessment.


PublisherHeinemann Educational Books




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Thinking Mathematically: Integrating Arithmetic and Algebra in Elementary SchoolAuthors: Carpenter, Thomas P., Franke, Megan Loef, and Levi, Linda

AnnotationThe emphasis of this resource is on teaching for deep understanding of mathematical concepts. Using classroom examples, teachers are shown how to extend students’ thinking in order to help them integrate and connect new knowledge with previous understanding. The authors show how relational thinking, making and representing conjectures, justification, and proof have application in mathematics classrooms. Teacher commentaries provide realistic examples. End-of-chapter challenges offer ideas for problems and activities in class.


PublisherHeinemann Educational Books




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Uncovering Student Thinking in Mathematics: Grades 6-12Authors: Rose, Cheryl M. and Arline, Carolyn B.

AnnotationThe authors provide thirty formative assessment probes. The probes reveal common understandings and misunderstandings in student thinking in mathematics. The probes will assist teachers as they gauge students’ prior knowledge of core mathematical concepts. These tools will assist educators to identify areas that require more instruction and to adapt their teaching to meet student needs.


Publisher/DistributorThomson Nelson1120 Birchmount RdSCARBOROUGH ON M1K 5G4(800) 268-2222(416) 752-9100Fax: (800) 430-4445E-mail: [email protected]: www.nelson.com



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From ROSE, CHERYL. Uncovering Student Thinking in Mathematics Grades 6-12. © 2008 Nelson Education Ltd. Reproduced by permission. www.cengage.com/permissions









A Visual Approach to FunctionsAuthor: Van Dyke, Frances

AnnotationConsisting of individual lessons with blackline masters and teacher notes, this resource introduces linear, exponential, and quadratic functions encountered in algebra. Each chapter features a graph and a series of statements describing a function that are explored prior to the introduction of tables or algebraic notation. Subsequent chapter lessons introduce co-ordinates, quantitative graphs, and tables. To deepen conceptual understanding of a function, the activities emphasize verbal, numeric, visual, and algebraic representation. Ideas for incorporating graphing calculators are included at the end of each chapter.

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Digital ResourcesThe Saskatchewan Ministry of Education provides a forum through the Digital Resources page for teachers to access and share educationally appropriate Internet sites. The URL Database of websites can be found on the Ministry of Education website at www.education.gov.sk.ca/digital-resources.

Information on sites that are recommended and linked to curriculum outcomes can be found by accessing this database. Teachers are encouraged to share Internet sites with others in the province by registering in the URL database. Once an account has been created, teachers will be able to suggest new Internet sites as well as access and review sites submitted by other teachers. The reviews are used to help determine a recommendation and links to curricula. Educators can register at the above address.

The General Reference Centre (GRC) provides access to general Internet sites that relate to curricula. The GRC can be found on the Ministry of Education website.

Current Internet sites that provide information for mathematics educators follow:

InfoTrac at www.education.gov.sk.ca/Databases-for-schools

(CORE) Contains electronic databases of more than 2,300 full-text magazines, journals, and reference sources. Examples of databases include: Junior Edition, Student Edition, General Reference Centre Gold, and CPI.Q (Canadian Periodicals).

Math Central at http://mathcentral.uregina.ca/index.php

(CORE) Math Central is a clearinghouse of mathematical resources for students and teachers.

National Council of Teachers of Mathematics at www.nctm.org

(CORE) The National Council of Teachers of Mathematics (NCTM) is committed to promoting excellence and innovation in mathematics teaching and learning for all. It publishes the journals Teaching Children Mathematics, Mathematics: Teaching in the Middle School, and Mathematics Teacher.

National Library of Virtual Manipulatives at http://nlvm.usu.edu/en/nav/vLibrary.html

(CORE) Provides educators with electronic resources to augment student learning in the areas of geometry, number and operations, algebra, measurement and data analysis, and probability.

http://www.education.gov.sk.ca/Databases-for-schools

http://mathcentral.uregina.ca/index.php

http://www.nctm.org

http://nlvm.usu.edu/en/nav/vLibrary.html

Documents

Additional Learning Resources 9 · Math and Science Across Cultures: Activities and Investigations from the Exploratorium Authors: Bazin, Maurice and Tamez, Modesto Annotation This