### Course Outline

Mathematics 12 is an academic high school mathematics course. Students in Mathematics 12 will explore the following topics:

- Financial Mathematics
- Logical Reasoning
- Probability
- Relations and Functions
- Mathematical Research Project

Students in Mathematics 12 will explore the following topics:

#### Financial Mathematics (FM):

Students will be expected to develop number sense in financial applications.

- Solve problems that involve compound interest in financial decision making.
- Analyze costs and benefits of renting, leasing and buying.
- Analyze an investment portfolio in terms of interest rate, rate of return, and total return.

#### Logical Reasoning (LR):

Students will be expected to develop logical reasoning.

- Analyze puzzles and games that involve numerical and logical reasoning, using problem-solving strategies.
- Solve problems that involve the application of set theory
- Solve problems that involve conditional statements.

#### Probability (P):

Students will be expected to develop critical-thinking skills related to uncertainty.

- Interpret and assess the validity of odds and probability statements.
- Solve problems that involve the probability of mutually exclusive and non-mutually exclusive events.
- Solve problems that involve the probability of two dependent events.
- Solve problems that involve the probability of two independent events.
- Solve problems that involve the fundamental counting principle.
- Solve problems that involve permutations.
- Solve problems that involve combinations.

#### Relations and Functions (RF):

Students will be expected to develop algebraic and graphical reasoning through the study of relations.

- Represent data, using polynomial functions (of degree ≤ 3), to solve problems.
- Represent data, using exponential and logarithmic functions, to solve problems.
- Represent data, using sinusoidal functions, to solve problems.

#### Mathematical Research Project (MRF):

Students will be expected to develop an appreciation of the role of mathematics in society.

- Research and give a presentation on a topic that involves the application of mathematics.

**Updated August 24, 2021**