Download Mathematics: Core Learning Resources for Grade 7

Mathematics: Core Learning
Resources for Grade 7
Recycled Paper
2007
Mathematics: Core Learning
Resources for Grade 7
Prepared by:
Instructional Resources Unit
Curriculum and E-Learning Branch
Saskatchewan Learning
2007
Mathematics: core learning resources for grade 7
1. Elementary mathematicsBibliography. 2. Bibliography
I. Saskatchewan Learning. Curriculum and E-Learning Branch.
016.37272
372.72016
ISBN 978-1-897211-23-6
Foreword
This list of core learning resources identifies foundational resources that have been recommended
by Saskatchewan Learning to support the Mathematics Grade 7 Curriculum (2007). These
resources form a high quality collection that supports most of the learning outcomes of the Grade 7
Mathematics curriculum.
When purchasing resources from this list, it is advisable to select one of the comprehensive
resources together with the in-depth and professional resources. Where possible, the
comprehensive resources should be examined before final ordering decisions are made.
Manipulatives are an essential component of an effective mathematics program, leading to the
development of deeper understanding of mathematical concepts. Included in this list is a chart
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 (www.exclusiveeducational.ca) and Spectrum Nasco Educational Supplies
Ltd. (www.spectrumed.com). Please consult these companies’ catalogues for purchasing
information.
Additional high-quality student resources that support specific learning outcomes, as well as
additional professional resources that would be valuable supports to educators and professional
learning communities are listed on Saskatchewan Learning’s website (www.sasklearning.gov.sk.ca).
Grade 7
iii
Grade 7 Manipulatives
Alge-tiles
Item
Suggested Uses
Patterns and Relations
Number
Balance
Patterns and Relations
Base Ten Materials
(blocks, stamps, mats, and clear
view for teacher)
Number
Blank Spinners
Statistics and Probability
Calculator
(4 operations)
Centimetre Cubes
(interlocking and non-interlocking)
Colour Tiles
(including tiles for use with
overhead)
Counters
• Overhead
• 2-sided
Across strands
• 1 clear view for teacher use
• 1 class set of blocks and
mats
• 3 stamp sets per class
• 1 spinner per 2 students and
1 for teacher use on
overhead
• 1 per student
Probability
• At least 20 per student
Number (Fractions)
Statistics and Probability
• At least 30 per student
Number
Statistics and Probability
Cuisenaire Rods
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
Fraction Materials
(circles, strips, pattern, and fraction
blocks, fraction rings, fraction grids)
Number
Number
Statistics and Probability
• One set of overhead
counters
• One set of 2-sided counters
per 2 students
• 1 set per 2 students
• 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
3-D Geometric Shapes
• Power Solids
Geoboards
(that link to give co-ordinate plane,
geobands)
Linear Measuring Materials
(rulers—starting at edge and not
starting at edge, measuring tapes,
metre sticks, trundle wheels)
Linking Cubes
Mira/Reflect View
Pattern Blocks
(including overhead, wooden,
stickers or stamps)
Power Polygons
Shape and Space
• 4 sets of fraction blocks
• Mixture of fraction circles,
strips, rings, and grids so
that there is 1 per student
• 5 sets per class
Shape and Space
• 4 per 2 students
Shape and Space
• 1 ruler per student
• 1 measuring tape per 4
students
• 1 metre stick per 4 students
• 2 large sets per class
• 1 per 2 students
• 4 sets of pattern blocks per
class
Grade 7
Number
Statistics and Probability
Shape and Space
Shape and Space
Shape and Space
Suggested Quantity
• 6-10 sets per classroom
(approximately 1 set per 3
students)
• 1 per two students
• 4 sets per class
1
Protractors
(including circle, semi-circle,
percent, and Geolegs)
Statistics and Probability
• 1 of each per group of 4
students
Note: Ordering information for
Geolegs is available from
www.geoleg.com.
2
Grade 7
•‚
Building a Fish Rack: Investigations Into
Proofs, Properties, Perimeter, and Area
(Math in a Cultural Context Series: Lessons
Learned From Yup’ik Eskimo Elders)
Authors: Adams, Barbara L. and Lipka, Jerry
Annotation
Modules in this series provide an excellent
example of how to explore the multiculturalism
of mathematics. This kit includes a book, a
CD, and three posters. Building a Fish Rack
provides extended problem-solving projects
where students explore perimeter, area, and
three-dimensional shapes as they learn how
to construct a model of a fish rack. Through
the investigation, students are engaged in
mathematical communication as they
formulate questions and represent possible
solutions in a variety of ways. Cultural notes,
teacher notes, math notes, and assessment
ideas offer instructional support. This
resource facilitates connections to and
integration with other subject areas.
Grade Level
K
1
2
3
4
5
6
7
8
9
√
Suggested Use: Shape and Space
Initiative: First Nations, Inuit, and Métis
Content and Perspectives
Distributor
Temeron Books Inc.
1220 Kensington Road NW Suite 210
CALGARY AB T2N 3P5
(403) 283-0900
Fax: (403) 283-6947
E-mail: [email protected]
Website: www.temerondetselig.com
Price: $34.95 kit
ISBN: 978-1-55059-258-0
Copyright: 2003
Year Recommended: 2007
This resource series was developed in
partnership with the Yup’ik Inuit Elders in
Alaska and with the University of AlaskaFairbanks. 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
Saskatchewan’s mathematics curriculum.
Grade 7
3
•
Math Links 7
Authors: McAskill, Bruce, et al.
Annotation
(CAN, WNCP) This resource consists of a
student resource, a teacher’s guide, and
editable blackline masters available on the
accompanying CD-ROM. The student
resource contains 12 units of study. Each unit
begins with a problem called a Math Link that
connects math and the real world. Lessons
follow the basic format of explore or discuss,
reflect, review key ideas, communicate,
practise, apply, and extend. At the end of
each unit there is a chapter review, a practice
test, a wrap up of the chapter problem, and a
page of math games. Additionally, there is a
“Challenge in Real Life” project that may be
used for summative assessment using the
rubric assessment tool provided in the
teacher’s guide.
The teacher’s guide provides suggestions for
supporting all learners, and addresses
common misunderstandings. It also provides
a planning chart and assessment planner for
each unit. Extra practice exercises and a
chapter test are available on the CD-ROM.
Grade Level
K
1
2
3
4
5
6
7
Suggested Use: Number; Patterns and
Relations; Shape and Space; Statistics and
Probability
Distributor
McGraw-Hill Ryerson Limited
300 Water St
WHITBY ON L1N 9B6
(800) 565-5758
(905) 430-5000
Fax: (800) 463-5885
E-mail: [email protected]
Website: www.mcgrawhill.ca
Components
Student Text
Price: $54.95 hdc.
ISBN: 978-0-07-097335-0
Teacher’s Resource with CD-ROM
Price: $250.00 binder
ISBN: 978-0-07-097772-3
Copyright: 2007
Year Recommended: 2007
Note: Websites identified in this resource
were not reviewed in the resource evaluation
process.
4
8
√
Grade 7
9
Grade Level
Mathematics Teaching in the Middle
School
K
1
2
3
4
5
6
Annotation
Published nine times a year, this journal from
the National Council of Teachers of
Mathematics (NCTM) provides a range of indepth articles and features including practical
lesson ideas, teaching strategies, and
problems to investigate with students.
Suggested Use: Teacher Reference
√
7
√
8
9
√
Distributor
National Council of Teachers of Mathematics
1906 Association Dr
RESTON VA 20191-1502
(800) 235-7566
(703) 620-9840
Fax: (703) 476-2970
E-mail: [email protected]
Website: www.nctm.org
Price: $76.00 U.S. with NCTM membership
ISSN: 1072-0839
Year Recommended: 2007
Grade 7
5
√
Nelson Math Focus 7
Authors: Small, Marian, et al.
Annotation
(CAN, WNCP) This resource consists of a
hardcover student text and a set of 13 teacher
resource modules.
The teacher resource modules present
suggestions for lesson plans and the pacing of
each chapter. Each of the modules relates to
a chapter in the student text. The lesson
plans include differentiated instruction
suggestions, such as extra challenge activities
and extra student support activities, as well as
differentiated learning support. Possible
specific student misunderstandings are dealt
with in the extra support section of the
differentiated learning section. Additionally,
each teacher module presents extra activities
and assessment suggestions, such as rubrics
and checklists.
Each chapter in the student text contains a
mid-chapter checkup, a chapter self-test, a
chapter review, a mathematics game,
outcome-related “curious math” activities, and
a chapter task, as well as periodic cumulative
reviews. A variety of solutions to questions
are provided to support the use of personal
strategies.
Grade Level
K
1
2
3
4
5
6
7
Suggested Use: Number; Patterns and
Relations; Shape and Space; Statistics and
Probability
Distributor
Thomson Nelson
1120 Birchmount Rd
SCARBOROUGH ON M1K 5G4
(800) 268-2222
(416) 752-9100
Fax: (800) 430-4445
E-mail: [email protected]
Website: www.nelson.com
Components
Student Text
Price: $54.95 hdc.
ISBN: 978-0-17-632464-3
Teacher’s Resource
Price: $269.95 binder
ISBN: 978-0-17-632465-0
Copyright: 2008
Year Recommended: 2007
Note: Websites identified in this resource
were not reviewed in the resource evaluation
process.
6
8
√
Grade 7
9
•
Pearson Math Makes Sense 7. WNCP ed.
Authors: Garneau, Marc, et al.
Annotation
(CAN, WNCP) This resource consists of a
student text and teacher’s guide with a DVD
and CD-ROM. The student text is hardcover
while the teacher’s guide consists of separate
unit booklets within a binder. Both the DVD
and CD-ROM contain pdf and editable files.
The teacher’s guide includes year plans,
lesson plans, additional activities, ESL
strategies, alternative exploration ideas,
strategies to deal with common
misconceptions, a how-to help section,
extension ideas, and assessment tools.
Lessons follow a consistent format of a launch
to access prior knowledge, introduction to the
concept(s), tutorial examples, and practice
problems. New terms are introduced in boldly
coloured text boxes.
Student text lessons require students to
explore the concept, make real-life
connections, practise the skill, and reflect on
what they have learned. The student text is in
colour and includes mid-unit reviews, unit
reviews, practice tests, unit problems, answer
keys, a glossary, and an index.
Grade Level
K
1
2
3
4
5
6
7
8
9
√
Suggested Use: Number; Patterns and
Relations; Shape and Space; Statistics and
Probability
Distributor
Pearson Education Canada
School Division
195 Harry Walker Pky N
NEWMARKET ON L3Y 7B4
(800) 361-6128
(905) 853-7888
Fax: (800) 563-9196
E-mail: [email protected]
Website: www.pearsoned.ca
Components
Student Book
Price: $44.95 hdc.
ISBN: 978-0-321-43155-4
Teacher’s Guide
Price: $349.95 binder
ISBN: 978-0-321-43156-1
Copyright: 2007
Year Recommended: 2007
This resource provides for both formative and
summative assessment. Each unit has
assessment focus questions within each
lesson, a unit rubric, a reflection of the unit,
and a unit test.
Note: Websites identified in the teacher’s
guide were not reviewed in the resource
evaluation process.
Grade 7
7
Perspectives on Indigenous People of
North America (Changing the Faces of
Mathematics Series)
Editors: Hankes, Judith Elaine and Fast,
Gerald R.
Annotation
This resource is a collection of essays related
to teaching mathematics in a culturally
relevant way to First Nations people of North
America. It is devoted to discussing ways of
helping First Nations 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 for introducing
students to a variety of number systems
specific to North American First Nations
people. Many geometrical concepts and
patterns are immersed in culturally relevant
arts and crafts. Some activities lend
themselves to co-operative group or partner
work, while others are better structured as
independent study. An excellent section on
portfolios and the paradigm shift in
mathematics assessment is included.
Grade Level
K
√
1
√
2
√
3
√
4
√
5
√
6
√
7
√
√
Suggested Use: Teacher Reference
Initiative: First Nations, Inuit, and Métis
Content and Perspectives
Distributor
National Council of Teachers of Mathematics
1906 Association Dr
RESTON VA 20191-1502
(800) 235-7566
(703) 620-9840
Fax: (703) 476-2970
E-mail: [email protected]
Website: www.nctm.org
Price: $25.95 U.S. pbk.
ISBN: 978-0-87353-506-9
Copyright: 2002
Year Recommended: 2005
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.
8
8
Grade 7
9
√
•‚
Salmon Fishing: Investigations Into
Probability (Math in a Cultural Context
Series: Lessons Learned From Yup’ik Eskimo
Elders)
Authors: Adam, Aishath Shehenaz, et al.
Annotation
Modules in this series provide an excellent
example of how to explore the multiculturalism
of mathematics while promoting deep
understanding, communication, and critical
thinking. This kit includes a book, two CD’s,
and two posters. Salmon Fishing 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
probability of catching fish. The module
embeds Yup’ik cultural values, and introduces
Yup’ik games of chance to further explore
concepts of probability and fairness. Cultural
notes, teacher notes, math notes, and
assessment ideas offer instructional support.
This resource facilitates connections to and
integration with other subject areas.
Grade Level
K
1
2
3
4
5
6
√
7
8
9
√
Suggested Use: Statistics and Probability
Initiative: First Nations, Inuit, and Métis
Content and Perspectives
Distributor
Temeron Books Inc.
1220 Kensington Road NW Suite 210
CALGARY AB T2N 3P5
(403) 283-0900
Fax: (403) 283-6947
E-mail: [email protected]
Website: www.temerondetselig.com
Price: $32.95 kit
ISBN: 978-1-55059-305-1
Copyright: 2005
Year Recommended: 2007
This resource series was developed in
partnership the Yup’ik Inuit Elders in Alaska
and with 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
Saskatchewan’s mathematics curriculum.
Grade 7
9
•
Teaching Student-Centered Mathematics:
Grades 5-8 (The Van de Walle Professional
Mathematics Series)
Authors: Van de Walle, John A. and Lovin,
LouAnn H.
This teacher reference promotes the use of
problem-based activities to develop students’
conceptual understanding of mathematical
concepts. It emphasizes the idea that math
makes sense. The opening chapter outlines
the foundations for student-centred
instruction, and serves as the underpinning for
all other chapters. This resource highlights
the need for ongoing assessment that is
integrated with instructional planning.
Numerous practical examples of problembased 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 this title, providing an electronic
version of the book with additional tips and
video clips to illustrate various concepts.
10
Grade Level
K
1
2
3
4
5
√
6
√
7
√
Suggested Use: Teacher Reference
Distributor
Pearson Education Canada
School Division
195 Harry Walker Pky N
NEWMARKET ON L3Y 7B4
(800) 361-6128
(905) 853-7888
Fax: (800) 563-9196
E-mail: [email protected]
Website: www.pearsoned.ca
Price: $165.00 pbk.
ISBN: 978-0-321-42056-5
Copyright: 2006
Year Recommended: 2007
Grade 7
8
√
9