Mathematics

PHILOSOPHY, AIM, AND GOALS

The aim of the mathematics program is to develop numerate individuals who value mathematics and appreciate its role in society. This is an attempt to enable students to cope confidently and competently with everyday situations that demand the use of mathematical concepts. Specifically, this means interpreting quantitative information, estimating, performing calculations mentally, and developing an intuitive knowledge of measurement and spatial relationships. In addition, the mathematics program is intended to stimulate the spirit of inquiry by developing a variety of problem-solving skills and abilities. Lastly, there is a need to make effective use of technology where it is most appropriate.

The Secondary Mathematics Program is an integrated mathematics program. That is to say, various branches of mathematics appear in each course, rather than each course studying an exclusive branch of mathematics. The program has been developed with student learning objectives divided into various strands of mathematics. These strands are: Functions, Algebra, Geometry, Trigonometry, Numbers and Number Operations, Equations and Problem Solving, and Data Analysis/Consumer Mathematics. Please refer to Saskatchewan Ministry of Education website for a comprehensive explanation of curriculum goals at:

http://www.sasked.gov.sk.ca/branches/curr/evergreen/math.shtml

At Balfour Collegiate, we offer a variety of Math courses designed to fit the needs of diverse learners including Advanced Placement Preparation Math courses for those focused on university studies and Modified Math programs for those who do not intend to pursue post-secondary studies.  Our Tutorial, Learning Resource Program, and Opportunity Center provide specialized support for students of all abilities who have unique learning styles.

 

ADVANCED PLACEMENT MATHEMATICS

Please refer to the Advanced Placement course overviews for Balfour Advanced Placement Preparation Mathematics Courses (Grade 9 through to Grade 12).  For more general information of the Advanced Placement Program, refer to the website:

http://www.ap.ca/index.htm.

 

MATHEMATICS 9 (CORE)

This course has been designed to provide opportunities for students to learn mathematics in ways that are meaningful to them.  It recognizes many learning styles through hands-on experiences, problem solving and by making connections between mathematical concepts and other mathematical strands, other disciplines and the real world.  Using the program Math Makes Sense 9, students will cover the four strands as outlined in the new Mathematics 9 curriculum: Number, Patterns & Relations, Shape & Space and Statistics & Probability.

 

For more information on the new Mathematics 9 Curriculum, please go to

www.education.gov.sk.ca/math-curricula

 

For on-line support for the Math Makes Sense program, please go to

 
Online Video's to Accompany Math 9 (permission granted from Carey Lehner)
 
 
 
 
 
 

MATH COURSES AT THE GRADE 10 LEVEL

 

There are two pathways that students can take in Math 10, Workplace and Apprenticeship Math and Foundations/Precalculus math. Saskatchewan Learning strongly recommends that most students enroll in both Grade 10 math courses, and students may choose to complete courses in any or all of the pathways.

Workplace and Apprenticeship Math 10
Prerequisite: Math 9 (Core)
 

This pathway is designed to provide students with the mathematical understandings and critical-thinking skills identified for entry into the majority of trades and for direct entry into the work force. The topics covered are: Imperial and Metric System, spatial thinking, Pythagorean Theorem and similarity, primary trigonometric ratios, parallel lines, perpendicular lines, and transversals and angle relationships, replication, construction, and bisection of angles, proportional reasoning, and methods of income earning.

 

Foundations and Precalculus Math 10

Prerequisite: Math 9 (Core)

Foundations/Precalculus Math prepares students for either the Foundations Pathway and/or the Precalculus pathway. The Foundations Math pathway is designed to provide students with the mathematical understandings and critical-thinking skills identified for post-secondary studies in programs that do not require the study of theoretical calculus. The Precalculus Math pathway is designed to provide students with the mathematical understandings and critical-thinking skills identified for entry into post-secondary programs that require the study of theoretical calculus. The topics covered are: SI and Imperial units with respect to linear, area, and volume measurement, proportional reasoning, primary trigonometric ratios, factors of whole numbers and applications, irrational numbers, powers with integral and rational exponents, multiplication of polynomials, factoring,  relating data, graphs, and situations, understanding functions as relations, slope and relationships of lines, linear relations: equations, graphs, and applications, function notation, and systems of linear equations.

 

MATHEMATICS 11 [MODIFIED MATH 10] (CORE)

Prerequisite: Math 9 (Core)

The primary aim of Mathematics 11 is to develop numerate individuals. In addition, the Mathematics 11 course will provide a greater opportunity to focus on mathematics that is relevant to everyday situations.  This course provides learning experiences which will enable students to:

  • value mathematics and appreciate its role in society
  • function as consumers and workers
  • function as informed responsible citizens
  • develop logical thinking skills and effective work habits
  • become capable problem solvers and decision makers
  • communicate mathematically
  • become self-reliant, self-motivated, confident life-long learners

At least 50% of the regular strands and objectives from Mathematics 10 (Core) are studied including the following five:  Algebraic Skills, Consumer Math, Right Triangle including the Pythagorean Theorem, Linear Equations, and Data Management.

Please note:  modified math courses are offered only at the 10 and 20 levels. Math 11 (Grade 10 math credit) and Math 21 (Grade 11 math credit) are courses that fulfill the present  Grade 12 graduation requirements but do not allow for credit for programs within post-secondary institutions.

 

 MATH COURSES AT THE GRADE 11 LEVEL

 

Workplace and Apprenticeship 20

Prerequisite: Workplace and Apprenticeship 10

The topics include slope and rates of change; graphical representations; measurement; right triangle trigonometry; scale representations, financial services; and personal budgets.  Students who successfully complete Workplace and Apprenticeship Mathematics 20 have met the minimum graduation requirement for Math and may choose to proceed to Workplace and Apprenticeship Mathematics 30.

 

Foundations of Mathematics 20

Prerequisite:Foundations and Precalculs Mathematics 10

The topics include inductive and deductive reasoning; properties of angles and triangles; triangle trigonometry; statistical reasoning; systems of linear inequalities; quadratic functions and equations; and proportional reasoning.  Students who successfully complete Foundations of Mathematics 20 have met the minimum graduation requirement for Math and may choose to proceed to Foundations of Mathematics 30.

 

Pre-Calculus 20

Prerequisite: Foundations and Precalculs Mathematics 10 (recommended grade or 70%).  It is also recommended that students take Foundations of Mathematics 20 prior to taking Pre-Calculus 20 

The topics include sequences and series; trigonometry; quadratic functions and equations; radical expressions and equations; rational expressions and equations; absolute value and reciprocal functions; systems of equations; and linear and quadratic inequalities.  Students who successfully complete Pre-Calculus 20 have met the minimum graduation requirement for Math and may choose to proceed to Pre-Calculus 30.

 

MATHEMATICS 21 [MODIFIED MATH 20] (CORE)

Prerequisite: Math 10 (Core) or Math 11 (Core)

This “basic” mathematics course will attempt to show students how mathematics is used in everyday life and provide appropriate learning experiences which will help students to value mathematics and appreciate its functional role in society.

At least 50% of the regular strands and objectives from Mathematics 20 (Core) are covered including the following five strands:  Rational and Irrational Numbers, Consumer Mathematics, Probability, Angles and Polygons, Circles.

Please note:  modified mathematics courses are offered only at the 10 and 20 levels. Math 11 (Grade 10 math credit) and Math 21 (Grade 11 math credit) are courses that fulfill the present  Grade 12 graduation requirements but do not allow for credit for programs within post-secondary institutions.

 

MATH COURSES AT THE GRADE 12 LEVEL

 

Workplace and Apprenticeship 30

Prerequisite: Workplace and Apprenticeship 20

The topics include linear relations; limits to measurement; statistics; probability and odds; properties of geometric figures; transformations; trigonometry; and owning a small business.

 

Foundations of Mathematics 30

Prequisite: Foundations of Mathematics 20

The topics include financial mathematics; set theory and logic; counting methods; probability; polynomial functions; exponential and logarithmic functions; and sinusoidal functions.

 

Pre-Calculus 30

Prerequisite: Pre-Calculus 20 (also recommended that students have Foundations 20 prior to Pre-Calculus 30)

The topics include function transformations; radical, polynomial, rational, exponential, and logarithmic functions; the unit circle and trigonometric functions; function operations; and permutations, combinations and the Binomial Theorem.  Students who successfully complete Pre-Calculus 30 may choose to proceed to Calculus 30.

 

CALCULUS 30

Prerequisite: Pre-Calculus 30 (recommended to have also taken Foundations 20)

This course is an introduction to the basic concepts of calculus—limits, differentiation, integration—and their applications to problem-solving situations and graphing procedures. The content of the Calculus 30 curriculum has been divided into eight areas of study including:   Functions,   Limits & Continuity,  Differentiation, Applications of Derivatives to Curve Sketching,  Practical Applications of Derivatives, Derivatives of the Transcendental Functions,  Integration, and  The Fundamental Theorem of Calculus.

The course is designed for those students who intend to study mathematics-related fields in post-secondary institutions.   In addition, this course is recommended for students who will, in their post-secondary studies, be required to take a Calculus course.  The Calculus 30 grade is rarely used in the calculation of the Grade 12 average for scholarship and entrance requirements.