The main goals of mathematics education are to prepare students to:

- use mathematics confidently to solve
- communicate and reason
- appreciate and value
- make connections between mathematics and its
- commit themselves to lifelong
- become mathematically literate adults, using mathematics to contribute to society.

Students who have met these goals will:

- gain understanding and appreciation of the contributions of mathematics as a science, philosophy and art.
- exhibit a positive attitude toward
- engage and persevere in mathematical tasks and
- contribute to mathematical
- take risks in performing mathematical
- exhibit

##### Mathematics “10, 20, 30-1” Course Sequence

- if I want to study mathematics or sciences at a university, college, or technical institute and go on to a related career.
- is for students who plan to enter post-secondary programs such as engineering, mathematics,

sciences, some business studies, or other programs that require advanced math skills. The sequence is a co-requisite for mathematics 31 and may be required for post-secondary calculus courses.

- includes topics such as permutations and combinations, relations and functions, sequences and series, and trigonometry.

##### Mathematics “10, 20, 30-2” Course Sequence

- if I want to attend a university or college, or technical institute after high school, but do not need calculus
- is for students wishing to study at the post- secondary level in diverse fields, including arts programs, civil engineering technology, medical technologies, and some apprenticeship This path will fulfill most students’ needs.
- is designed with a great deal of flexibility, so that the student can switch sequences in Grade 11 or Grade 12 if his or her interests change.
- includes topics such as relations, functions and equations, probability, statistics, and

##### Mathematics “10, 20, 30-3” Course Sequence

- if I am interested in learning the mathematics needed to enter most trades or if I want to enter the workforce after high school.

- is for students who want to apprentice to a trade or enter the workforce directly after high school. It is designed to meet the entrance requirements of apprentices in most trades programs, specifically levels one to three.
- includes topics such as finance, geometry, measurement, and trigonometry.

**Math 10C **(5 credits)

*Prerequisite: 50% or higher in Math 9 (recommended 60%) OR Competencies in Math 15 (recommended 60%) *This combined course is the starting point for both the “- 1” and the “-2” course sequences. Topics of study include:

- Measurement – Measurement Systems, Surface Area and Volume, Right Triangle Trigonometry
- Algebra and Number – Exponents and Radicals, Polynomials
- Relations and Functions – Linear Relations and Functions, Linear Equations and Graphs
- Systems of Equations – Solving Linear Systems Graphically and Algebraically

**Competencies in Math 15 **(5 credits)

*Recommended Prerequisite: 40-60% in Math 9*

The Competencies in Math course is designed as a bridge between Math 9 and Math 10C. It covers the essential outcomes from Math 9 as well as some other important skills that will improve a student’s chance of being successful in Math 10C. Topics that will be covered include: Number Skills, Operations with Exponents, Solving Equations (Algebraically), Trigonometry, Measurement, Relations and Functions, and Polynomials. It is designed for the student that received a mark between 40% and 49% in Math 9 who wishes to eventually take Math 10C. This course would also be beneficial for students that received a mark between 50% and 60% in Math 9 but don’t feel they have a strong enough background to be successful in Math 10C.

**Math 10-3 **(5 credits)

*Recommended Prerequisite: less than 50% in Math 9*

- Geometry – Lines, Angles, Pythagorean Theorem, Polygons, and Trigonometry
- Number – Unit Pricing, Currency Exchange, and Income
- Algebra - Manipulation and application of various formulae
- Measurement – Metric and Imperial Systems and solving problems using these systems

**Math 20-1 **(5 credits)

*Prerequisite: Math 10C (recommended 70%)*

Math 20-1 consists of the following topics of study:

- Patterns – Sequences and Series, Trigonometry
- Quadratic Functions, Quadratics Equations
- Systems of Equations, Linear and Quadratic Inequalities
- Functions and Equations – Radical Expressions and Equations, Rational Expressions and Equations, Absolute Value and Reciprocal Functions

**Math 20-2 **(5 credits)

*Prerequisite: Math 10C*

Math 20-2 consists of the following topics:

- Measurement – Proportional Reasoning, Rates, Scale Diagrams
- Geometry – Properties of Angles in Triangles, Acute Triangle Trigonometry
- Number and Logic – Inductive and Deductive Reasoning, Radicals, Puzzles and Games
- Statistics – Statistical Reasoning
- Relations and Functions – Quadratic Functions, Quadratic Equations
- Research Project

**Math 20-3 **(5 credits)

*Prerequisite: Math 10-3 or 40% in Math 10C or 50% in Competencies in math 15*

- Measurement – Solve problems that involve SI and imperial units in surface area and volume measurements
- Geometry – Scales and Scale Diagrams, Problems Involving Two and Three Right Triangles
- Number – Puzzles and Games, Personal Budgets, Managing Finances, Credit Cards
- Algebra - Manipulation and Application of Various Formulae, Slope, Proportional Reasoning
- Statistics – Create and Interpret Various Graphs – bar graphs, histograms, line graphs, circle graphs

**Math 30-1 **(5 credits)

*Prerequisite: Math 20-1 (recommended 70%)*

Math 30-1 consists of the following topics:

- Transformations and Functions – Function Transformations, Radical Functions, Polynomial Functions
- Trigonometry – Trigonometry and the Unit Circle, Trigonometric Functions and Graphs, Trigonometric Identities
- Exponential and Logarithmic Functions – Exponential Functions and Equations, Logarithmic Functions and Equations

- Equations and Functions – Rational Functions, Functions Operations, Permutations and Combinations, The Binomial Theorem

**Math 30-2 **(5 credits)

*Prerequisite: Math 20-2 (recommended 60%)*

- Logical Reasoning and Probability – Set Theory, Permutations and Combinations, Probability
- Relations and Functions – Rational Expressions and Equations, Polynomial Functions, Exponential and Logarithmic Functions, Sinusoidal Functions
- Research Project

**Math 30-3 **(5 credits)

*Prerequisite: Math 20-3 or 40% in Math 20-2*

Math 30-3 consists of the following topics:

- Measurement – Solve problems that involve limitations of measuring instruments, including precision, accuracy, uncertainty and tolerance
- Geometry – Sine Law and Cosine Law, Transformations on 2-D and 3-D objects including translations, rotations, reflections, and dilations
- Number – Puzzles and Games, Buying a vehicle, Viability of small business
- Algebra – Solving problems involving linear relations
- Statistics and Probability – Measures of Central Tendency, Percentiles, Probability

**Math 31 **(5 credits)

*Prerequisite: Math 31 is generally taken after Math 30-1, however they can be taken concurrently.*

The objectives of Math 31 (Calculus) are:

- To develop an understanding of the algebra of functions and transformations, together with their graphs, and to apply these understandings in different areas of mathematics.
- To develop a fluency in algebraic computations involving rational expressions, inequalities, absolute values and trigonometric functions.
- To achieve an understanding of the principal concepts and methods of differential and integral
- To develop skills in problem solving and reasoning, using calculus concepts.
- To understand the connections and interplay among various mathematical concepts and between mathematics and other disciplines.