Core Learning Resources 6 - publications.gov.sk.capublications.gov.sk.ca/documents/11/70122-math_6_core_resources.pdf · Mathematics: Core Learning Resources • Grade 6 Mathematics:

Mathematics Core Learning Resources

SaskatchewanLearning Resources

2009

6

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Mathematics: Core Learning Resources • Grade 6

Mathematics: Core Learning Resources • Grade 6 |

Mathematics

Core Learning Resources 6

Prepared by:

Curriculum and E-Learning Branch

Ministry of Education

2009



| Mathematics: Core Learning Resources • Grade 6

Mathematics: core learning resources 6 ISBN 978-1-926631-55-4 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: Core Learning Resources • Grade 6 | iii


Table of Contents

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

Manipulatives....................................................................................................... vii

Print.Resources.................................................................................................... ...1

Digital.Resources................................................................................................. ...7



Mathematics: Core Learning Resources • Grade 6 | v

Foreword

This list of learning resources identifies high-quality resources that have been recommended by the Ministry of Education to support Mathematics 6. 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. 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 Mathematics 6. 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 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 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: Core Learning Resources • Grade 6 | vii


ManipulativesItem Suggested Uses (Strands) Suggested Quantity

Alge-tiles Patterns and Relations Number

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

1 overhead set

Balance Patterns and Relations 1 per 4 students

Calculator (4 operations) Across strands 1 per student

Colour Tiles (including tiles for use with overhead)

Shape and Space Number

At least 40 per student

Cuisenaire Rods Number 1 set per 2 students

Fraction Materials (circles, strips, pattern and fraction blocks, fraction rings, 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, or wooden blocks, stickers or stamps)

Number Patterns and Relations

1 set per 5-6 students

Money (coins, including loonies and toonies, bills, 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

Dice

- 4-sided, 6-sided (0-5 and 1-6), 8-sided, 12-sided, 10-sided, 20-sided

- Overhead, blank, fraction, dots, numerals, and words

Number Statistics and Probability

- 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, 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

Patty Paper Shape and Space 1 package per class

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

As required

viii | Mathematics: Core Learning Resources • Grade 6



Manipulatives (continued)Item Suggested Uses (Strands) Suggested Quantity

Mira/Reflect View Shape and Space 1 per 2 students

3-D Geometric Shapes - Power Solids

Shape and Space 5 sets per class

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

Number As required

Protractor Shape and Space 1 per student

Probability Materials (marbles, cards, coins, centimetre cubes, two-sided counters, blank spinners)

Statistics and Probability Various, as needed

10 x 10 Geoboards Shape and Space 1 per 2 students plus elastics, as needed


Mathematics: Core Learning Resources • Grade 6 | 1

Print Resources

Suggested UseProfessional Resource

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: $76.00 U.S. with NCTM membershipISSN: 1075-5836

Copyright: 2001Year Recommended: 2005

Mathematics Teaching in the Middle SchoolAnnotation(CORE) Published nine times a year, this journal from the National Council of Teachers of Mathematics (NCTM) provides a range of in-depth articles and features including practical lesson ideas, teaching strategies, and problems to investigate with students. In-depth features and articles offer an important source of professional development to readers.

Note: Past issues of this journal (1994-2004) are available through the Saskatchewan Ministry of Education’s Full-text Online Databases and may be searched for specific topics.

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2 | Mathematics: Core Learning Resources • Grade 6



Suggested UsesNumberPatterns and RelationsStatistics and Probability

This series was developed in partnership with the Yup’ik Inuit Elders in Alaska and with the University of Alaska-Fairbanks. It provides an authentic example of ways to integrate First Nations, Métis and 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.

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 Saskatchewan’s mathematics curriculum.

PublisherDetselig Publishers Ltd.

DistributorTemeron Books Inc.Suite 210, 1220 Kensington Rd NW CALGARY AB T2N 3P5(403) 283-0900Fax: (403) 283-6947E-mail: [email protected]: www.temerondetselig.com

Copyright: 2005-06Year Recommended: 2007

Title ISBN PriceSalmon Fishing: Investigations Into Probability

978-1-55059-305-1 $32.95 (text, 2 CDs, and 2 posters)

Star Nativation: Explorations Into Angles and Measurement

978-1-55059-337-2 $45.95 (text, reader, CD, and poster)

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Math in a Cultural Context Series: Lessons Learned from Yup’ik Eskimo EldersAuthors: Adams, Barbara L., Kagle, Melissa, George, Frederick, and Lipka, Jerry

Annotation(CORE) Modules in the 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 Star Navigation: Explorations into Angles and Measurement students develop their navigation skills as they observe the patterns of the Sun related to time and location. After investigating properties of angles, students apply their knowledge to navigating situations. As daytime navigating creates a simplified problem, most of the module develops foundational thinking in this framework. As students become skilled with daytime navigating, they learn Frederick’s methods for night time navigating. Using the constellations, students extend their daytime methods, which focus on two-dimensional measures, to the night time situation, which uses three-dimensional measures.

Salmon Fishing: Investigations Into Probability offers the perspectives of a Yup’ik subsistence fisher. Knowledge of the salmon’s life cycle, how to fish, and where to fish determine the probabilty of catching fish. This module embeds Yup’ik cultural values, and introduces Yup’ik games of chance to further explore concepts of probability and fairness.



Suggested UseTeacher Reference

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


Title ISBN PriceNavigating Through Algebra in Grades 6-8

978-0-87353-501-7 $44.95 U.S. pbk.

Navigating Through Data Analysis and Probability in Grades 6-8

978-0-87353-547-2 $32.95 U.S. pbk.

Navigating Through Geometry in Grades 6-8

978-0-87353-513-7 $49.95 U.S. pbk.

Navigating Through Number and Operations in Grades 6-8

978-0-87353-575-5 $32.95 U.S. pbk.

Navigating Through Probability in Grades 6-8

978-0-87353-523-6 $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 978-0-17-632459-9 $39.95

hdc.

Teacher’s Resource 978-0-17-632460-5 $299.95

Suggested UsesNumberPatterns and RelationsShape and SpaceStatistics and ProbabilityStudent Resource

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


Nelson Math Focus 6Author: Small, Marion

Annotation(CORE, CAN, WNCP) This resource includes a student book and a teacher resource. Each chapter in the teacher’s resource contains a table of contents, mathematical overview, teaching ideas to consider, including suggestions for differentiating instruction, and planning guides. “Planning for the Chapter“ outlines the lessons, activities, learning goals, materials, and assessment. For each lesson, the learning goals and mathematical processes are identified. A lesson is divided into three sections: “Getting Started“, “Working It Out“, and “Reflect & Connect“. There are suggestions for feedback to students including what to look for and what to do, a chapter task, and a “Keep Going“ section with a connection to literature. Also included are a family letter, illustrated blackline masters for the lesson, a task rubric, a chapter interview template, an interview recording template, a checklist template, an assessment of learning summary template, and pictures of the student book with sample answers.

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From SMALL, MARION ET AL, Nelson Math Focus 6, 1E. © 2010 Nelson Education Ltd. Reproduced by permission, www.cengage.com/permissions.



Title ISBN PriceStudent Book 978-0-321-49844-1 $46.95

hdc.

ProGuide (with CD-ROM and DVD)

978-0-321-49845-8 $363.95

Suggested UsesNumberPatterns and RelationsShape and SpaceStatistics and ProbabilityStudent Resource

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


Pearson Math Makes Sense 6. WNCP Ed.Author: Wyman, Diane

Annotation(CORE, WNCP, CAN) This resource consists of a student text and a teacher resource. The teacher resource consists of eight unit booklets, blackline masters, an overview, and a planning and assessment booklet. Each unit in the teacher resource contains mathematical background, curriculum across the grades, curriculum overview, planning for instruction, suggested time frame, and planning for assessment. Each lesson provides a curriculum focus, mathematical word wall suggestions, materials, and program resources. There is an assessment for learning section that accesses prior knowledge and a “What to do“ at the end of each lesson. The student resource includes literature selections, practice pages, letters to parents, and tear-out “Math at Home“ pages. This resource identifies a “Math Focus“ (goals) and “Home Connection“ (ways to help at home) for each lesson.

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Title ISBN PriceTeaching Student-Centered Mathematics: Grades K-3 (Volume 1)

978-0-321-42054-1 $79.95 pbk.

Teaching Student-Centered Mathematics: Grades 3-5 (Volume 2)

978-0-321-42055-8 $79.95 pbk.

Teaching Student-Centered Mathematics: Grades 5-8 (Volume 3)

978-0-321-42056-5 $79.95 pbk.

Suggested UseTeacher Reference

PublisherAllyn & Bacon Canada

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


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. Readers are encouraged to reflect on various concepts presented throughout the resources.

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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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 are 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 shape and space, number, algebra, measurement, and data analysis and probability.

http://www.education.gov.sk.ca/digital-resources

http://www.education.gov.sk.ca/digital-resources

Documents

Core Learning Resources 6 - publications.gov.sk.capublications.gov.sk.ca/documents/11/70122-math_6_core_resources.pdf · Mathematics: Core Learning Resources • Grade 6 Mathematics: