## 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

Quadratic systems and equation

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

**RECOMMENDED FOR: GRADE 5 TO ADULTS **

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

Quadrilaterals

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

Advanced 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