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Mathematics: Grades 10 and 11

Note: The list of learning resources in this section provides an update to Mathematics 10, 20: A Bibliography for the Secondary Level (1995).

This section of the annual update is also available as a printable PDF version.

• COMAP'S Mathematical Models With Applications (Grade 10-11)
• The Learning Equation: Mathematics 11 (Grade 10)
• The Learning Equation: Mathematics 12 (Grade 11)
• The Math Survival Kit (Grade 10)
• Math 20 (Grade 11)
• Multiplication the Algebra Way (Grade 10-11)
• Navigating Through Data Analysis in Grades 9-12 (Grade 11)
• Navigating Through Probability in Grades 9-12 (Grade 11)
• Niktu: A Game of Algebraic Thinking: Level V (Grade 10)
• 101 Great Ideas for Introducing Key Concepts in Mathematics: A Resource for Secondary School Teachers (Grade 10-11, Teacher Reference)
• Perspectives on Indigenous People of North America (General Reference)
• Quantum (Grade 10-11)
• Real-Life Math: Everyday Use of Mathematical Concepts (Grade 10-11, Teacher Reference)

COMAP'S Mathematical Models With Applications (Print-Non-Fiction). Lege, Jerry, et al. W. H. Freeman & Company (HZB), 2002. 592 p. ISBN 0-7167-4458-9 ($50.00 U.S. hdc.).

This resource relates abstract mathematical concepts to relevant life situations that students may be experiencing or thinking about. Teachers who are looking for real-life, practical examples and activities related to a particular mathematical topic will find this resource appealing. Many learning objectives from various grade levels and strands are addressed through application-style problems based on a mathematical modelling process. This process invites students to form theories and then test and revise them accordingly. Although this resource is written from an American perspective and sometimes utilizes the Imperial System of Measurement, many of the engaging activities may be successfully adapted and incorporated into Saskatchewan classrooms.
Suggested Use: Mathematics 10; Mathematics 20; Teacher Reference
Other Use: Mathematics: A30, B30, C30

The Learning Equation: Mathematics 11 (Kit). Thomson Nelson (NEL), 2003. Order numbers follow.

(CAN, WNCP) Recommended components include the following:

This resource consists of one compact disc, a student refresher, and a teacher’s guide. It presents 41 interactive lessons designed to correlate highly to the Mathematics 11 (Pure) course of the Western and Northern Canadian Protocol. As a result, the lessons correlate to some of the concepts in various strands throughout the high school mathematics curricula for Saskatchewan.

All lessons follow the pattern of an introduction, followed by a tutorial, examples, a summary of concepts, practice problems, extra practice, and a self-check. Students are able to monitor their own progress through various components of each lesson. The compact disc uses many “explorers” (Java applets) that allow students to simulate mathematical concepts, relationships and solutions. It also includes a glossary that may be accessed from a pull-down menu.

The student refresher follows the organization of the compact disc and provides additional examples for students. Answers are located at the end of the document.

The teacher’s manual begins with installation notes for Windows 95/98/ME/Nt4, SP6/2000/XP, and Macintosh. There are cross-references to the student refresher, objectives, terminology, and lesson components on the CD. Prerequisite skills are also listed.
Suggested Use: Mathematics 10; Angles and Polygons ; Consumer Mathematics; Linear Equations and Inequalities; Lines and Line Segments; Mathematics 20; Circles; Polynomials and Rational Expressions; Quadratic Equations; Quadratic Functions
Other Use: Mathematics: A30, B30, C30

The Learning Equation: Mathematics 12 (Kit). Thomson Nelson (NEL), 2005. Order numbers follow.

Recommended components include the following:

(CAN, WNCP) This resource consists of one compact disc, a student refresher, and a teacher’s guide. It presents 42 interactive lessons designed to highly correlate to the Mathematics 12 (Pure) stream of the Western and Northern Canadian Protocol Mathematics K-12 Framework. As a result, the lessons correlate to some of the concepts in various strands throughout the high school mathematics curricula for Saskatchewan.

All lessons follow the pattern of an introduction, followed by a tutorial, examples, a summary of concepts, practice problems, extra practice, and a self-check. Students are able to monitor their own progress through various components of each lesson. The compact disc uses many “explorers” (java applets) that allow students to simulate mathematical concepts, relationships, and solutions. It also includes a glossary that may be accessed from a pull-down menu.

The student refresher follows the organization of the compact disc and provides additional examples for students. Answers are located at the end of the document.
The teacher’s manual begins with installation notes for Windows 95/98/ME/Nt4, SP6/2000/XP, and Macintosh. There are cross-references to the student refresher, objectives, terminology, and lesson components on the CD. Prerequisite skills are also listed.
Suggested Use: Mathematics 20; Quadratic Functions
Other Use: Mathematics: A30, B30, C30

The Math Survival Kit (Grade 10 Resource Materials) (Print-Non-Fiction). Pilmer, C. David. Pilmer Publishing (PNG), 2001. 121 p. ISBN 0-9730067-0-6 ($31.99 binder).

(CAN, WNCP) The Math Survival Kit is a binder of resource material that may be useful as a supplementary resource for selected curriculum objectives at the Secondary Level. It includes activities related to systems of linear equations and inequations, and graphing quadratic (non-linear) functions.
Suggested Use: Mathematics 10; Angles and Polygons; Linear Equations and Inequalities; Mathematics 20; Polynomials and Rational Expressions; Quadratic Equations; Quadratic Functions

Math 20 (Print-Non-Fiction). Thiessen, Burt. Globe Printers Ltd. (GBE), 2002. 330 p. ISBN 0-9689314-1-3 ($30.00 spiral-bound).

(SK) Primarily designed for direct instruction, this traditional type resource provides worked examples and questions for many of the concepts addressed in the Mathematics 20 Curriculum. Focus is placed on mathematical procedures as opposed to developing conceptual understanding. Included in the text are a table of contents, an index, an answers section and graphing paper for photocopying.
Suggested Use: Mathematics 20; General Reference

Multiplication the Algebra Way (Print-Non-Fiction). Wiebe, Arthur, et al. AIMS Education Foundation (SES), 2001. 159 p. ISBN 1-881431-93-2 ($38.30 pbk.).

This resource begins with the concept of how to understand two-digit multiplication. Numerous activities have the students explore compound areas created by base 10 blocks to determine the component areas, total areas, and dimensions of both. Over a series of activities, these three ideas are related to two-digit multiplication and the distributive property. Later activities expand these ideas into decimal fractions, fractions, and algebraic situations including the factoring of quadratic expressions. Each activity promotes a deeper understanding of multiplication without placing emphasis on drill, memorization, or formulas.
Suggested Use: Mathematics 10; Mathematics 20; Teacher Reference
Other Use: Mathematics: Middle Level

Navigating Through Data Analysis in Grades 9-12 (Print-Non-Fiction). Burrill, Gail, et al. (Principles and Standards for School Mathematics Navigations Series). National Council of Teachers of Mathematics (NCTM), 2003. 136 p. ISBN 0-87353-524-3 ($38.95 U.S. pbk.).

Part of the Navigation Series, this resource focuses on developing skills in data analysis. Using activity-based investigations, students develop their ability to formulate questions that can be addressed with data. Other skills addressed include methods of selecting and implementing appropriate statistical methods, analyzing data, evaluating inferences, and predicting and applying probability concepts.

Along with each student activity is information for the teacher regarding the mathematical content being targeted, its relationships to previous and future activities, as well as surprises, ideas, and questions that may arise for the students.

The supplemental CD-ROM features interactive applets, blackline masters, and additional professional development readings.
Suggested Use: Mathematics 20; Probability
Other Use: Mathematics: Middle Level; Mathematics: A30, B30, C30

Navigating Through Probability in Grades 9-12 (Print-Non-Fiction). Shaughnessy, J. Michael, et al. (Principles and Standards for School Mathematics Navigations Series). National Council of Teachers of Mathematics (NCTM), 2004. 131 p. ISBN 0-87353-525-1 ($38.95 U.S. pbk.).

Through an engaging problem-solving approach, this resource develops students' probabilistic thinking. Activity-based lessons immerse students in constructing concepts of probability models and distribution. Students have the opportunity to predict and interpret outcomes based on actual or simulated data from experiments, and to verify their predictions. Real-world examples demonstrate the relevance and usefulness of probability to students. Part of the Navigation Series, this resource complements the title on data analysis.

Along with each student activity is information for the teacher regarding the mathematical content being targeted, its relationships to previous and future activities, as well as surprises, ideas, and questions that may arise for the students.

An accompanying CD-ROM supplies blackline masters, additional activities and professional articles related to probability.
Suggested Use: Mathematics 20; Probability
Other Use: Mathematics: Middle Level; Mathematics: A30, B30, C30

Niktu: A Game of Algebraic Thinking: Level V (Game). Greenes, Carole and Findell, Carol. Creative Publications (MHR), 2004. ISBN 1-4045-1365-5 ($29.35).

This game offers a review of algebraic concepts within a small group setting. 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. Concepts addressed include order of operations, inverse operations, fractional values, and integers. Directions for a variation of the game are included.
Suggested Use: Grade 10; Algebra; Review of Algebraic Skills
Other Use: Mathematics: Middle Level

101 Great Ideas for Introducing Key Concepts in Mathematics: A Resource for Secondary School Teachers (Print-Non-Fiction). Posamentier, Alfred S. and Hauptman, Herbert A. Corwin Press, Inc. (MRI), 2001. 225 p. ISBN 0-7619-7513-6 ($46.95 pbk.).

Arranged by topics, this resource presents activity-based investigations that support various strands in the mathematics curriculum. It contains excellent ideas for teachers wishing to introduce concepts in new or varied ways that promote critical and creative thinking, as well as other Common Essential Learnings.
Suggested Use: Mathematics 10; Mathematics 20; Teacher Reference
Other Use: Mathematics: Middle Level; Mathematics: A30, B30, C30

Perspectives on Indigenous People of North America (Print-Non-Fiction). Hankes, Judith Elaine and Fast, Gerald R., eds. (Changing the Faces of Mathematics Series). National Council of Teachers of Mathematics (NCTM), 2002. 283 p. ISBN 0-87353-506-5 ($25.95 U.S. pbk.).

This resource is a collection of essays related to teaching mathematics in a culturally relevant way to Indigenous people of North America. It is devoted to discussing ways of helping Indigenous 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 Indigenous 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. An excellent section on portfolios and the paradigm shift in mathematics assessment is included.
Suggested Use: General Reference
Other Use: Mathematics: Elementary Level; Mathematics: Middle Level; Mathematics: A30, B30, C30
Initiative: Indian, Inuit, and Métis Content and Perspectives

Quantum (Print-Non-Fiction). Belanger, Carla, et al. Rogue Media Inc. (RMI), 2003. 455 p. ISBN 0-9688975-4-1 ($59.60 hdc.). Teacher's Resource Manual - ISBN 0-9688975-5-X ($192.90 binder).

(CAN) This interdisciplinary resource provides students with real-world projects centred on mathematical concepts. The units are thematically organized, each one beginning with a project that carries on throughout the unit. Tutorials provide students with guided practice to develop understanding of concepts related to project work. The student text includes a table of contents, an answer section, a tune-up centre for concept review, a glossary, and an index.

The teacher’s manual contains instructional notes for each lesson, blackline masters, and sample post-tests.
Suggested Use: Mathematics 10; Consumer Mathematics; Mathematics 20; Probability
Other Use: Mathematics: Middle Level

Real-Life Math: Everyday Use of Mathematical Concepts (Print-Non-Fiction). Glazer, Evan M. and McConnell, John W. Greenwood Publishing Group, Inc. (VLI), 2002. 165 p. ISBN 0-313-31998-7 ($72.95 hdc.).

This book is a reference guide promoting real-world connections to over 40 mathematical concepts. It provides concise background explanations and many examples of concept applications, although descriptions of how to perform the calculations are not included. Additional online sources are suggested for further exploration. This resource may be useful for answering questions such as, “When are we ever going to use this?”
Suggested Use: Mathematics 10; Mathematics 20; Teacher Reference
Other Use: Mathematics 10, 20; Mathematics: A30, B30, C30

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