Mathematics 12

Unit 1: Financial Mathematics

Compound interest in decision making, the costs and benefits of renting, leasing, and buying, and analysis of an investment portfolio.

• Compound versus simple interest
• Compound interest in loan and credit decisions
• Graphing the effects of compound-interest variables

• Appreciating and depreciating assets
• Justifying rent, lease, or buy

• Analyzing an investment portfolio
• Long-term and short-term investment strategy

Unit 2: Logical Reasoning

Numerical and logical reasoning through puzzles and games, and the application of set theory.

• Strategies for puzzles and games

• Sets, subsets, and Venn diagrams
• Set operations and problem solving

Unit 3: Probability

Odds and probability statements, the probability of two events, and the counting techniques of the fundamental counting principle, permutations, and combinations.

• Converting between odds and probability
• Assessing probability statements

• Independent events
• Dependent events

• Counting with graphic organizers
• The fundamental counting principle
• Factorial notation and nPr
• Permutations with identical elements

• When order matters: combinations vs permutations
• Counting and applying combinations

Unit 4: Relations and Functions

Representing data with polynomial, exponential and logarithmic, and sinusoidal functions to solve problems — functions used as tools for modelling real data.

• Polynomial functions from graphs
• Polynomial functions from equations
• Fitting a polynomial function to data
• Interpreting and solving with polynomial models

• Exponential and logarithmic functions from graphs
• Exponential and logarithmic functions from equations
• Modelling data with exponential and logarithmic functions

• Angles and sinusoidal functions from graphs
• Sinusoidal functions from equations
• Modelling cyclic data with sinusoidal functions