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## WE LOVE MATH

RECOMMENDED FOR: GRADE 8 TO 12
This course is intended for the student who has an interest in exploring topics that go beyond the standard school curriculum. We will work on exploring problems from the different Canadian mathematical contests.

## INTRODUCTORY ALGEBRA

RECOMMENDED FOR: GRADE 7 TO 10
The objective of this course is to help students to become comfortable with fundamental concepts of algebra. These concepts are a useful preparation for Grade 11 and Grade 12 math and science courses. The course is also highly recommended to younger students.

Planned curriculum: Term 1

Abstraction, Notation, Definitions
Linear systems and equations
Systems of linear equations
Polynomials and simple polynomial factoring
Polynomial factoring

Term 2

Review of Term 1 material
Systems of linear and quadratic equations
Application of linear and quadratic equations
Parametric equations
Fundamental theorem of algebra
Vieta’s Theorem and applications
Course Review

## INTRODUCTION TO GEOMETRY

Geometry is a great educational tool for developing logical and consistent thinking. The course does not require any prior knowledge other than basic arithmetic skills. In this course, we will introduce and explore Euclidean geometry. Emphasis will be placed on the structured presentation of mathematical proofs. Basic algebra skills are also acquired or refined through this course.

Planned curriculum: Term 1

Definition, Axioms, and Proofs
Parallelism
Triangle properties
Triangle congruency
Triangle similarity
Pythagorean theorem and related problems

Term 2

Review of term 1 material
The circle
Introduction to trigonometry
Metric relations in triangles
Course review

## NUMBERS AND ARITHMETIC

RECOMMENDED FOR: GRADE 4 TO 7

Arithmetic skills are a prerequisite for most fields of study. Being comfortable with performing calculations is a great asset. In this course, we will focus on helping students to become comfortable with number manipulation and computation, by practicing various techniques. Emphasis will be placed on computation without the use of calculators.

Planned curriculum:

Mathematical Notation and Introduction to Sets
Operations
Order of Operations
Factoring in Primes
Fractions
Course review

## PHYSICS 101

RECOMMENDED FOR: GRADE 9 TO 12

The objective of this course is to provide an in-depth presentation of Newtonian mechanics.

Planned curriculum: Term 1

Math skills required for Physics: Cartesian coordinates and vectors
1D Kinematics
Math skills required for Physics: Trigonometric functions
2D Kinematics
Math skills required for physics: Quadratic equations
Applications of Kinematics
Forces and Newton`s laws of motion
Applications of Newton`s laws: incline planes
Applications of Newton`s laws: pulleys
Applications of Newton`s laws: friction and advanced problems

Term 2

Review of Term 1 material
Energy and work
Application of energy and work: springs, pendulum
Circular motion
Gravitation
Oscillations
Course Review