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2009 Saskatchewan Core Learning Resources Mathematics 5
2009Saskatchewan Core Learning Resources
Mathematics
5
iMathematics 5
Mathematics
Core Learning Resources 5
Prepared by:
Curriculum and E-Learning Branch
Ministry of Education
2009 (Updated 2011)
ii Mathematics 5
Mathematics: core learning resources 5 ISBN 978-1-897211-67-0 1. Mathematics – Study and teaching (Elementary) – Bibliography. I. Saskatchewan. Ministry of Education. Curriculum and E-Learning. Science and Technology Unit.016.37272372.72016
All rights for images of books or other publications are reserved by the original copyright owners.
iiiMathematics 5
Table of ContentsForeword . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v
Manipulatives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vii
Print, Audio-visual, and Other Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Out of Print but Still Useful Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
Digital Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
vMathematics 5
Foreword
This list of learning resources identifies high-quality resources that have been recommended by the Ministry of Education to support the curriculum, Mathematics 5. This list will be updated as new resources are recommended and older ones are no longer available. A list of additional 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. (FNMI) indicates that a First Nations, Métis, or Inuit person contributed to the development of the resource and/or that it includes First Nations, Métis, or Inuit content. Resources evaluated and recommended as support for the Western and Northern Canadian Protocol curriculum frameworks and Saskatchewan’s provincial curricula have the designation (WNCP) before the annotation.
Other resources beyond those recommended in this list may effectively support the curriculum, Mathematics 5. It remains the responsibility of educators to preview and select materials that best meet the needs of their school or community. Educators should choose resources in accordance with their school division’s learning resources selection policy.
Pricing of the learning resources in this document 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, and the suggested quantity recommended (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 https://education.spectrum-nasco.ca/. 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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ManipulativesItem Suggested Uses (Strands) Suggested Quantity
Alge-tiles Patterns and Relations Number
6-10 sets per classroom (approximately 1 set per 3 students)
Alge-tiles Patterns and Relations 1 set per 5 students
1 overhead set
Balance Patterns and Relations 1 per 2 students
Base ten materials (blocks, stamps, mats, and clear view for teacher)
Number 1 clear view for teacher use
1 class set of blocks and mats
3 stamp sets per class
Calculator (4 operations) Across strands 1 per student
Centimeter cubes Shape and Space 5 sets per class
Colour tiles (including tiles for use with overhead) Shape and Space Number (Fractions)
At least 40 per student
Cuisenaire rods Number 1 set per 2 students
Fraction materials (circles, strips, pattern and fraction blocks, fraction rings, and fraction grids)
Number 4 sets of fraction blocks per class
Mixture of fraction circles, strips, rings, and grids so that there is 1 per student
Linking cubes Number Patterns and Relations
3 large sets per class
Pattern blocks (including overhead and wooden) Number Patterns and Relations
1 set per 5-6 students
Money (coins, including loonies and toonies, bills, and stamps)
Number (skip counting, decimals)
10 sets per class
Counters - Overhead - 2-sided
Number One set of overhead counters per class
1 set of 2-sided counters per 2 students
D-sticks Shape and Space 1 set per 2 students
Dice - 4-sided, 6-sided (0-5 and 1-6), 8-sided, 12-sided, 10-sided, and 20-sided - Overhead, blank, fraction, dots, numerals, and words
Number 2 of each number of sides per 2 students
At least 1 pair of overhead dice per class
1 set of blank dice per class
Linear measuring materials (rulers - starting at the edge and not starting at the edge, measuring tapes, metre sticks, and trundle wheels)
Shape and Space 1 ruler per student
1 measuring tape per 4 students
1 metre stick per 4 students
Power polygons Shape and Space 1 set per 4 students
Everyday 3-D objects Shape and Space
Patty paper Shape and Space 1 package per class
Grid paper (including transparent) Number Patterns and Relations Shape and Space
Mira/Reflect view Shape and Space 1 per 2 students
3-D geometric shapes - Power solids
Shape and Space 5 sets per class
Mathematics 5 1
Print, Audio-visual, and Other Resources
Suggested UseProfessional Resource
PublisherDetselig Publishers Ltd.
DistributorTemeron Books Inc.Suite 210, 1220 Kensington Rd NW CALGARY AB T2N 3P5(403) 283-0900Fax: (403) 283-6947Email: [email protected]: www.temerondetselig.com
Price: $49.95 kitPagination:106 p.ISBN: 978-1-55059-306-8
Copyright: 2006Year Recommended: 2007
Designing Patterns: Exploring Shapes and AreaAuthor: Lipka, Jerry
Annotation(CORE, FNMI) Modules in this Math in a Cultural Context Series: Lessons Learned from Yup’ik Eskimo Elders provide an example of how to explore the multiculturalism of mathematics.
In this module, students learn about patterns used by Yup’ik seamstresses, and then set out to create their own patterns for a headdress by cutting and folding a rectangle. In the process, students learn about relationships between geometry and area. Extension of the activities allow for exploration into fractions. Two stories included in this kit help to connect the mathematical concepts to parka pattern designs.
This resource series was developed in partnership with the Yup’ik Inuit Elders in Alaska and the University of Alaska-Fairbanks. It provides an authentic example of ways to integrate Inuit content, to incorporate cultural ways of knowing, and to bridge gaps between different ways of knowing and understanding. The series includes cultural stories given by Elders. The focus is on Alaska’s Yup’ik people. Students from all cultural backgrounds should find the activities engaging.
Note: Imperial measurements, along with some metric measurements, are used. Also, the term Eskimo appears instead of Inuit, which is the culturally appropriate term in Canada. Teachers are encouraged to use and adapt the materials as needed to support student achievement of the outcomes in Saskatchewan’s mathematics curriculum.
This kit includes a book, a reader, two CD’s, and five posters.
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2 Mathematics 5
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Suggested UseProfessional Resource
Publisher/DistributorNational Council of Teachers of Mathematics1906 Association DrRESTON VA 20191-1502(800) 235-7566(703) 620-9840Fax: (703) 476-2970Email: [email protected]: www.nctm.org
Copyright: 2001Year Recommended: 2005
Title ISBN PriceNavigating through Algebra in Grades 3-5
978-0-87353-500-7 $33.95 U.S. pbk.
Navigating through Data Analysis and Probability in Grades 3-5
978-0-87353-521-2 $32.95 U.S. pbk.
Navigating through Geometry in Grades 3-5
978-0-87353-512-0 $35.95 U.S. pbk.
Navigating through Measurement in Grades 3-5
978-0-87353-544-8 $39.95 U.S. pbk.
Navigations SeriesEditor: House, Peggy A.
Annotation(CORE) These activity-based learning resources introduce, develop, and extend student thinking and reasoning in various mathematical concepts. Several related activities suited to the developmental stages of students are provided.
Accompanying the interactive investigations is a CD-ROM containing blackline masters, professional readings, and applets for the students to manipulate.
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Title ISBN PriceStudent Book 978-0-17-632454-4 $43.95 hdc.
Student Workbook 978-0-17-63256-8 $9.95 pbk.
Teacher’s Resource 978-0-17-632455-1 $324.95
Suggested UsesNumberPatterns and RelationsShape and SpaceStatistics and ProbabilityStudent Resource
Publisher/DistributorThomson Nelson1120 Birchmount RdSCARBOROUGH ON M1K 5G4(800) 268-2222(416) 752-9100Fax: (800) 430-4445Email: www.nelson.com/order/forms/orders.htmlWebsite: www.nelson.com
Copyright: 2009Year Recommended: 2008
Nelson Math Focus 5Authors: Small, Marion and Hope Jack
Annotation(CORE, CAN, WNCP) This resource includes a full-colour student text, a teacher resource comprised of 11 booklets, and blackline masters.
The teacher’s resource consists of one booklet for each unit in the student resource. It contains a curriculum correlation and continuum across the grades, math background, and a planning guide for the unit that outlines prerequisite skills, materials, and lesson goals. It includes problem solving, reading strategies, connections to other mathematical strands, connections to home and community, and a family letter for each unit. Each lesson provides the teacher with mathematics background, sample discourse, instructions for the activities, and assessment for learning ideas. The resource includes differentiating instruction ideas to support a variety of student needs. Guiding questions and possible student answers, and closing questions to promote student reflection are provided.
Each chapter of the student book begins with a chapter opener that activates prior knowledge and introduces the unit concepts. The units culminate with a chapter task that connects the chapter concepts and summarizes the learning for the section. There are also cumulative reviews in the student resource. Reading strategies are included and new vocabulary is defined and highlighted in the lesson. A variety of solutions to problems are provided.
From SMALL, MARION ET AL, Nelson Math Focus 5 Student Book, 1E. © 2009 Nelson Education Ltd. Reproduced by permission, www.cengage.com/permissions.
4 Mathematics 5
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Suggested UseProfessional Resource
PublisherDetselig Publishers Ltd.
DistributorTemeron Books Inc.Suite 210, 1220 Kensington Rd NW CALGARY AB T2N 3P5(403) 283-0900Fax: (403) 283-6947Email: [email protected]: www.temerondetselig.com
Price: $34.95 pbk.Pagination: 135 p.ISBN: 978-1-55059-325-9
Copyright: 2006Year Recommended: 2007
Patterns and Parkas: Investigating Geometric Principles, Shapes, Patterns, and MeasurementsAuthor: Pendergrast, Sandi
Annotation(CORE, FNMI) Modules in this Math in a Cultural Context Series: Lessons Learned from Yup’ik Eskimo Elders provide an example of how to explore the multiculturalism of mathematics. In this resource, students are encouraged to explore and understand mathematical relationships, properties of geometrical shapes, place value understanding, conjecturing, and proofs. The modules are designed to tap into the students’ creative, practical, and analytical thinking skills.
This resource series was developed in partnership with the Yup’ik Inuit Elders in Alaska and the University of Alaska-Fairbanks. It provides an authentic example of ways to integrate Inuit content, to incorporate cultural ways of knowing, and to bridge gaps between different ways of knowing and understanding. The series includes cultural stories given by Elders. The focus is on Alaska’s Yup’ik people. Students from all cultural backgrounds should find the activities engaging.
Note: Imperial measurements, along with some metric measurements, are used. Also, the term Eskimo appears instead of Inuit, which is the culturally appropriate term in Canada. Teachers are encouraged to use and adapt the materials as needed to support student achievement of the outcomes in Saskatchewan’s mathematics curriculum.
5Mathematics 5
Suggested UsesNumberPatterns and RelationsShape and SpaceStatistics and ProbabilityStudent Resource
Publisher/DistributorPearson Education CanadaSchool Division195 Harry Walker Pkwy NNEWMARKET ON L3Y 7B4(800) 361-6128(905) 853-7888Fax: (800) 563-9196Email: [email protected]: www.pearsonschoolcanada.ca/
Copyright: 2007Year Recommended: 2008
Title ISBN PriceStudent Book 978-0-321-49639-3 $50.75 hdc.
Teacher’s ProGuide (with CD-ROM and DVD)
978-0-321-49654-6 $393.75 binder
Pearson Math Makes Sense 5. WNCP ed.Authors: Appel, Ray; Chichak, Daryl; Jeroski, Sharon; Morrow, Peggy; Wortzman, Ricki; Brown, Trevor; Harcourt, Lalie; Kinsman, Lorraine; and Nicolson, Cynthia Pratt
Annotation(CORE, CAN, WNCP, FNMI) This resource includes a student text and a teacher’s guide.
The teacher resource consists of eight unit booklets. The teacher’s guide includes an overview, planning and assessment support, key ideas and curriculum links, content background, and three-part lessons with model teacher prompts for each lesson. Answers for all practice problems are provided. Connections to literature are listed. Assessment support includes sections such as Purposeful and Effective Assessment Practices, Assessment for, as and of Learning, Assessing Student Progress, Summarizing and Reporting Progress, and District and Provincial Assessment Programs. Ideas for differentiating instruction and using literature are included.
In the student resource, lessons begin with an opening scene that connects the mathematical concepts to the real world. Students return to this opening scene to solve a unit problem at the end of the unit. The lessons are divided into three parts “Explore,“ “Connect,“ and “Practice.“ Each lesson ends with a reflection. Cross-strand investigations, a strategies toolkit, unit problems, and step-by-step instructions for using technology are also included.
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6 Mathematics 5
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Suggested UseProfessional Resource
Publisher/DistributorNational Council of Teachers of Mathematics1906 Association DrRESTON VA 20191-1502(800) 235-7566(703) 620-9840Fax: (703) 476-2970Email: [email protected]: www.nctm.org
Price: $78.00 U.S. with NCTM membership feeISSN: 1073-5836
Year Recommended: 2007
Teaching Children MathematicsAnnotation(CORE) Published nine times a year, this journal serves as a source of teaching strategies for mathematics. It provides many practical lessons, activities, and investigations that incorporate problem solving and inquiry. In-depth features and articles offer an important source of professional development to readers.
Note: This resource has also been recommeded to support the Prekindergarten and Kindergarten curricula.
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Suggested UseProfessional Resource
PublisherAllyn & Bacon Canada
DistributorPearson Education CanadaSchool Division195 Harry Walker Pkwy NNEWMARKET ON L3Y 7B4(800) 361-6128(905) 853-7888Fax: (800) 563-9196Email: [email protected]: www.pearsonschoolcanada.ca
Copyright: 2006Year Recommended: 2007
The Van de Walle Professional Mathematics SeriesAuthors: Van de Walle, John A. and Lovin, Louann H.
Annotation(CORE) These teacher references promote the use of problem-based activities to develop students’ conceptual understanding of mathematical concepts. The resources emphasize the idea that math makes sense. The opening chapters outline the foundations for student-centred instruction, and serve as the underpinning for all other chapters. The resources highlight the need for ongoing assessment that is integrated with instructional planning. Numerous practical examples of problem-based activities, assessment notes, and ideas for integrating technology into instruction are included, and readers are encouraged to reflect on various concepts presented throughout the resource.
A CD-ROM accompanies the titles, providing an electronic version of the books with additional tips and video clips to illustrate various concepts. A supporting website is also available.
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Title ISBN PriceTeaching Student-Centered Mathematics: Grades 3-5 (Volume 2)
978-0-321-42055-8 $86.50 pbk.
Teaching Student-Centered Mathematics: Grades 5-8 (Volume 3)
978-0-321-42056-5 $86.50 pbk.
8 Mathematics 5
Out of Print but Still Useful Resources
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Suggested UseProfessional Resource
PublisherNational Council of Teachers of Mathematics
Pagination: 238 p.ISBN: 978-0-87353-506-9
Copyright: 2002Year Recommended: 2005Changing the Faces of Mathematics:
Perspectives on Indigenous People of North AmericaEditors: Hankes, Judith Elaine and Fast, Gerald R.
Annotation(CORE, FNMI) This resource is a collection of essays related to teaching mathematics in a culturally relevant way to North American Aboriginal people. It discusses ways of helping Aboriginal students make meaningful connections between school mathematics and their culture. The authors stress the need to present mathematical concepts within the context of daily life scenarios, and they illustrate ways to involve students in culturally related mathematical activities. Examples include suggestions for teaching numbers and operations concepts using traditional games, and introducing students to a variety of number systems specific to North American Aboriginal people. Many geometrical concepts and patterns are immersed in arts and crafts associated with the culture. Some activities lend themselves to co-operative group or partner work, while others are better structured as independent study. A section on portfolios and the paradigm shift in mathematics assessment is included.
Note: Because this is an American resource, some terminology is inconsistent with what is culturally appropriate in Canada. For example, the term Eskimo rather than Inuit appears in one of the essays. Also, many of the pedagogical principles presented in this essay apply to all students across cultures.
This title is currently out of print, but it may be available in school libraries or on www.amazon.com or www.ABE.com.
9Mathematics 5
Digital ResourcesThe Ministry of Education is also planning to post recommended digital resources on its new website, Saskatchewan Curriculum – Education: The Future within Us.
Current Internet sites that provide information for mathematics educators follow:
InfoTrac at www.education.gov.sk.ca/Databases-for-schools
(CORE) InfoTrac 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 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) This website provides educators with electronic resources to augment student learning in the areas of shape and space, number, algebra, measurement, and data analysis and probability.
