# Mathematics

For more than two thousand years, mathematics has been a part of the human search for understanding. From the initial desire to describe the natural world and form inescapable truths by careful reasoning, it has evolved to be used in all walks of modern life. From trends in politics to the stresses on the Bay Bridge, from bus schedules to recipes, from software engineering to weather patterns, math is all around us!

*In the words of the famous Russian novelist and philosopher, Leo Nikolaevich Tolstoy:*

“

“

**Some mathematician has said pleasure lies not in discovering truth, but in seeking it.**”#### Grade 9

**SECTION**

**Mathematics Placement Rationale: **A student’s mathematics placement takes into consideration a variety of factors: the nature of the student’s middle school mathematics program, teacher comments, grades, standardized test scores, and the results on our own placement tests.

**INTEGRATED MATHEMATICS I**

**[5 hours per week; taught in English]**

This course is recommended for students entering 9th grade who have successfully completed an Algebra 1 course.

**Course Coverage:** Instructional time will focus upon an in-depth study of algebraic concepts including surds, quadratic functions, and exponential functions; coordinate geometry, and statistics. Students are expected to develop their problem solving skills by recognizing the need for accuracy and the valid presentation of their reasoning.

**Assessment competencies: **• Reads and interprets a problem in appropriate mathematical terms

• Formulates a mathematical argument and communicates it clearly

• Applies previously learned techniques in new situations

• Performs well on tests and quizzes

• Performs well on homework

• Manages time effectively and is fully engaged in class

**Standards alignment:** *S**chool defined Updated: August 2016Author: Cheryl Labrecque, Head of Mathematics Department*

**INTEGRATED MATHEMATICS EXTENDED**

**[5 hours per week]**This course is recommended for students entering 9th grade who demonstrate a comprehensive insight into the content and concepts of Algebra 1.

Course Coverage: Instructional time in this fast-paced course will focus upon an extension of the **Integrated Mathematics** course with an additional Geometry component.

**Assessment competencies: **• Reads and interprets a problem in appropriate mathematical terms

• Formulates a mathematical argument and communicates it clearly

• Applies previously learned techniques in new situations

• Performs well on tests and quizzes

• Performs well on homework

• Manages time effectively and is fully engaged in class

**Standards alignment:** *S**chool defined Updated: August 2016Author: Cheryl Labrecque, Head of Mathematics Department*

FRENCH SECTION

MATHÉMATIQUES

MATHÉMATIQUES

**[5 periods per week; taught in French]**

This class includes an equal amount of geometry and algebra, and is aimed at students with a broad range of abilities, who are intending to sit the French National Brevet examinations. This class prepares students who will proceed to any of the French Bac or IB sections. Some of the topics covered are: simultaneous equation systems, working with literal expressions, linear mappings, quadratics, statistical measures and descriptions, introductory trigonometry, circular angles, vectors, pyramids, cones, spheres, coordinate geometry, translations, and rotations.

**Assessment competencies: **• Communiquer à l'écrit et à l'oral

• Mettre en oeuvre une recherche de façon autonome

• Mener des raisonnements

• Avoir un esprit critique

**Standards alignment:** *M**inistère de l’Éducation nationale** Updated: August 2016Authors: Cheryl Labrecque, Head of Mathematics Department/*Sébastien Bourret, French Math Coordinator

#### Grade 10

**INTERNATIONAL SECTION**

**INTEGRATED MATHEMATICS II**

**[5 periods per week]**

This course is recommended for students entering 10th grade who have taken the **Integrated ****Mathematics I** course in 9th grade.

**Course Coverage:** Instructional time will focus upon a continued in-depth study of algebraic and geometric concepts including logarithms, complex numbers, trigonometry, circle theorems, functions, and similarity. Students will continue to develop their problem solving skills by recognizing the need for accuracy and the valid presentation of their reasoning.

**Assessment competencies: **• Reads and interprets a problem in appropriate mathematical terms

• Formulates a mathematical argument and communicates it clearly

• Applies previously learned techniques in new situations

• Performs well on tests and quizzes

• Performs well on homework

• Manages time effectively and is fully engaged in class

**Standards alignment:** *S**chool defined Updated: August 2016Author: Cheryl Labrecque, Head of Mathematics Department*

**PRE-CALCULUS**

**[5 periods per week]**

This advanced and fast paced mathematics class is suitable for those students entering tenth grade who have demonstrated a high ability and an enthusiasm in all areas of mathematics.

**Course Coverage:** In addition to reinforcing the previously learned topics and concepts covered in ninth grade, students will be introduced to more complex mathematical topics including analysis of functions, matrices, transformations, analytic geometry, and loci.

**Assessment competencies: **• Reads and interprets a problem in appropriate mathematical terms

• Formulates a mathematical argument and communicates it clearly

• Applies previously learned techniques in new situations

• Performs well on tests and quizzes

• Performs well on homework

• Manages time effectively and is fully engaged in class

**Standards alignment:** *S**chool defined Updated: August 2016Author: Cheryl Labrecque, Head of Mathematics Department*

**SCHOLASTIC APTITUDE TEST (SAT) MATHEMATICS PREPARATION**

**[1 period per week for 1 quarter]**

*This non-graded course is mandatory for all students in the 10th grade.*

**Course Coverage:** This course provides students with an introduction to the format and requirements of the new (2016) SAT examination including the three main topics covered particular to the subject of mathematics – heart of algebra, problem solving and data analysis, and passport to advanced math. Students will be shown test taking strategies to employ through use of practice SAT tests.

**Standards alignment:** *S**chool defined Updated: August 2016Author: Cheryl Labrecque, Head of Mathematics Department*

FRENCH SECTION

**MATHÉMATIQUES **

**[5 periods per week**

**; taught in French**]**Assessment competencies: **• Communiquer à l'écrit et à l'oral

• Mettre en oeuvre une recherche de façon autonome

• Mener des raisonnements

• Avoir un esprit critique

**Standards alignment:** *M**inistère de l’Éducation nationale** Updated: August 2016Authors: Cheryl Labrecque, Head of Mathematics Department/*Sébastien Bourret, French Math Coordinator

#### Grades 11 & 12

**IB MATHEMATICAL STUDIES**

[4 periods per week]

[4 periods per week]

This two year course is designed for students intending to pursue college studies in which highly rigorous levels of mathematics are not necessary, but where a solid understanding of the application of mathematical methods is helpful. It caters for students from a variety of mathematical backgrounds. Topic coverage includes: number and algebra, sets, logic, probability, functions (including trigonometric functions), solid geometry, statistics (up to hypothesis testing), financial mathematics, and introductory differential calculus. The student’s proficiency and application is demonstrated through a compulsory math project paper which forms a component of the final IB grade.

**Assessment competencies: **• Reads and interprets a problem in appropriate mathematical terms

• Formulates a mathematical argument and communicates it clearly

• Applies previously learned techniques in new situations

• Performs well on tests and quizzes

• Performs well on homework

• Manages time effectively and is fully engaged in class

**Standards alignment:** *International Baccalaureate Organization***Updated: ***August 2016***Author:** Cheryl Labrecque, Head of Mathematics Department

**IB MATHEMATICS STANDARD LEVEL**

[5 periods per week]

[5 periods per week]

This two year course is designed for students who intend to pursue college studies for which a strong foundation in mathematics is required (for example: biology, chemistry, economics, business). Students need to possess knowledge of basic mathematical skills. The program delivers a variety of topics, including: the analysis of functions, algebraic manipulation, vectors and matrices, sequences and series, circular functions and trigonometry, statistics and probability, differential and integral calculus, and complex numbers. Students can demonstrate their analytical skills and mathematical methods through two portfolio tasks that form a component of their final IB grade.

**Assessment competencies: **• Reads and interprets a problem in appropriate mathematical terms

• Formulates a mathematical argument and communicates it clearly

• Applies previously learned techniques in new situations

• Performs well on tests and quizzes

• Performs well on homework

• Manages time effectively and is fully engaged in class

**Standards alignment:** *International Baccalaureate Organization***Updated: ***August 2016***Author:** Cheryl Labrecque, Head of Mathematics Department

**IB MATHEMATICS HIGHER LEVEL**

[5 periods per week]

[5 periods per week]

**Assessment competencies: **• Reads and interprets a problem in appropriate mathematical terms

• Formulates a mathematical argument and communicates it clearly

• Applies previously learned techniques in new situations

• Performs well on tests and quizzes

• Performs well on homework

• Manages time effectively and is fully engaged in class

**Standards alignment:** *International Baccalaureate Organization***Updated: ***August 2016***Author:** Cheryl Labrecque, Head of Mathematics Department

IB FURTHER MATHEMATICS HIGHER LEVEL

IB FURTHER MATHEMATICS HIGHER LEVEL

**[Mentored advanced study: two or more periods per week]**

**Assessment competencies: **• Reads and interprets a problem in appropriate mathematical terms

• Formulates a mathematical argument and communicates it clearly

• Applies previously learned techniques in new situations

• Performs well on tests and quizzes

• Performs well on homework

• Manages time effectively and is fully engaged in class

**Standards alignment:** *International Baccalaureate Organization***Updated: ***August 2016***Author:** Cheryl Labrecque, Head of Mathematics Department

**LE BAC**

**PREMIÈRE S MATHÉMATIQUES**

**[5 periods per week**

**; taught in French**]There is no “spécialité” in Grade 11 S.

**Assessment competencies: **• Communiquer à l'écrit et à l'oral

• Mettre en oeuvre une recherche de façon autonome

• Mener des raisonnements

• Avoir un esprit critique

**Standards alignment:** *M**inistère de l’Éducation nationale** Updated: August 2016Authors: Cheryl Labrecque, Head of Mathematics Department/*Sébastien Bourret, French Math Coordinator

**TERMINALE S MATHÉMATIQUES**

**[6 periods per week**

**; taught in French**]**SPÉCIALITÉ**

**[2 periods per week—optional]**

The "spécialité" course focuses on number theory (prime numbers, congruencies, Bézout and Gauss theorems) and on plane transformations (isometric and non isometric transformation with an introduction to abstract algebra and examples of groups).

**Assessment competencies: **• Communiquer à l'écrit et à l'oral

• Mettre en oeuvre une recherche de façon autonome

• Mener des raisonnements

• Avoir un esprit critique

**Standards alignment:** *M**inistère de l’Éducation nationale** Updated: August 2016Authors: Cheryl Labrecque, Head of Mathematics Department/*Sébastien Bourret, French Math Coordinator

PREMIÈRE ES MATHÉMATIQUES

PREMIÈRE ES MATHÉMATIQUES

**[3 periods per week**

**; taught in French**]**SPÉCIALITÉ**

**[2 periods per week—optional]**

**Assessment competencies: **• Communiquer à l'écrit et à l'oral

• Mettre en oeuvre une recherche de façon autonome

• Mener des raisonnements

• Avoir un esprit critique

**Standards alignment:** *M**inistère de l’Éducation nationale** Updated: August 2016Authors: Cheryl Labrecque, Head of Mathematics Department/*Sébastien Bourret, French Math Coordinator

TERMINALE ES MATHÉMATIQUES

TERMINALE ES MATHÉMATIQUES

**[4 periods per week**

**; taught in French**]**SPÉCIALITÉ**

**[2 periods per week—optional]**

**Assessment competencies: **• Communiquer à l'écrit et à l'oral

• Mettre en oeuvre une recherche de façon autonome

• Mener des raisonnements

• Avoir un esprit critique

**Standards alignment:** *M**inistère de l’Éducation nationale** Updated: August 2016Authors: Cheryl Labrecque, Head of Mathematics Department/*Sébastien Bourret, French Math Coordinator