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Mathematics: Grade 12

Note: The list of learning resources in this section provides an update to Mathematics A30, B30, C30: A Bibliography for the Secondary Level (1997).

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

• COMAP'S Mathematical Models With Applications
• The Learning Equation: Mathematics 11
• The Learning Equation: Mathematics 12
• Navigating Through Data Analysis in Grades 9-12
• Navigating Through Probability in Grades 9-12
• 101 Great Ideas for Introducing Key Concepts in Mathematics: A Resource for Secondary School Teachers
• Perspectives on Indigenous People of North America
• Real-Life Math: Everyday Use of Mathematical Concepts
• Trig-o-metre With Teacher's Guide

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 A30; Mathematics B30; Mathematics C30; Teacher Reference
Other Use: Mathematics 10, 20

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) 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 A30; Exponents and Radicals; Polynomial and Rational Functions; Systems of Linear Equations; Mathematics B30; Quadratic Equations; Mathematics C30; Applications of Trigonometry; Mathematical Proof
Other Use: Mathematics 10, 20

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) 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 A30; Permutations and Combinations; Quadratic Functions; Mathematics B30; Data Analysis; Exponential and Logarithmic Functions; Polynomial and Rational Functions; Probability Quadratic Equations; Mathematics C30; Applications of Trigonometry; Conic Sections; Circular Functions; Trigonometric Equations; Trigonometric Identities
Other Use: Mathematics 10, 20

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 A30; Mathematics B30; Data Analysis
Other Use: Mathematics: Middle Level; Mathematics 10, 20

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 B30; Probability; Teacher Reference
Other Use: Mathematics: Middle Level; Mathematics 10, 20

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 A30; Mathematics B30; Mathematics C30; Teacher Reference
Other Use: Mathematics: Middle Level; Mathematics 10, 20

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: Mathematics A30; Mathematics B30; Mathematics C30; General Reference
Other Use: Mathematics: Elementary Level; Mathematics: Middle Level; Mathematics 10, 20
Initiative: Indian, Inuit, and Métis Content and Perspectives

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 A30; Mathematics B30; Mathematics C30; Teacher Reference
Other Use: Mathematics: Middle Level; Mathematics 10, 20

Trig-o-metre With Teacher's Guide (Manipulative). Curriculum Innovations (CNN), 2004. Order no. TRG ($59.00).

(CAN) This instructional tool represents the first quadrant of the unit circle. A degree protractor is inscribed in the quadrant, and an arm is fixed at one end to the origin. This arm moves to demonstrate visually different line segments and their correspondence to the six trigonometrical ratios depending on the increasing or decreasing sizes of the angles chosen. This manipulative is a useful resource for teacher demonstrations as well as hands-on student exploration of trigonometric concepts.

The accompanying teacher’s guide includes notes and instructional exercises to facilitate student and teacher understanding and use of this manipulative.
Suggested Use: Mathematics A30; Angles and Polygons; Mathematics C30; Circular Functions

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