# Math Level E (NEW Course)

In response to customer feedback, we have expanded and re-levelled our math program for Fall-Winter 2023-24. As a result, some of our courses have been renamed for 2023-24 (see below).

Our *new*** Level E **Math & Problem Solving program typically targets students in **Grades 8 through 11.** This level provides an **amalgamation of high-school algebra and geometry** and addresses, in depth,** all four steps of problem solving **by applying these to quite complex and difficult problems. Students think abstractly, collaborate with others, persevere, and approach problems from different perspectives.

Lessons include interactive puzzles, brain teasers, logic problems, and competitions to help students stay sharp, discover new strategies, and develop mathematical thinking through numerous approaches.

**Level E instruction includes, but is not limited to:**

**Math**

- Advanced rational and irrational numbers
- Applying and understanding the real number system
- Simplifying monomials and polynomials
- Factoring and simplifying equations
- Solving linear equations and graphs
- Understanding quadratics; graphs, equations, factors, solutions
- Absolute value graphs and equations
- Square root, cube root and piecewise functions
- Arithmetic and geometric sequences and functions
- Geometric theorems: lines and angles
- Parallelogram and triangle theorems
- Trigonometric ratios
- Circle theorems
- Transformations on the coordinate plane

**Strategy games & logic puzzles**

- Logic puzzles and riddles
- Crack the code
- Visual puzzles and optical illusions
- Mathematical and geometric theorems
- Competitions
- History of mathematics and famous mathematicians
- Modeling
- Presentations

**Managing Stress and Test Anxiety**

- Time management
- Planning and organization
- Focusing techniques
- Mindfulness

**Logic and Problem-Solving Strategies**

- Application and understanding of the problem-solving techniques
- Modeling problems and simplifying them
- Forward solving strategies
- Backwards solving strategies
- Venn diagrams
- Logical trees
- Logical charts
- Organized / systematic list
- Problems on lowest common multiple

- Problem decomposition
- Encryption and decoding
- Geometric theorems
- Geometric constructions
- Developing equations and using functions
- Using and applying patterns

**Prerequisite for Level E**: Knowledge of rational numbers, basic geometry, elementary algebra, and problem-solving strategies and techniques from Level D; OR successful completion of interview (for new students).