Applied Mathematics, Grade 12 (40S)

Unit 1: Financial Mathematics

Compound interest in financial decisions, the costs and benefits of renting, leasing, and buying, and analyzing an investment portfolio.

• Compound versus simple interest
• Loan costs and credit options

• Appreciation, depreciation, and comparing options
• Justifying a rent, lease, or buy decision

• Investment value and the Rule of 72
• Strategies and comparing portfolios

Unit 2: Logical Reasoning

Puzzles and games with numerical and logical reasoning, set theory, and conditional statements.

• Strategies for puzzles and games

• Sets and Venn diagram operations
• Solving problems with sets

• If-then statements and their forms
• Biconditionals and truth tables

Unit 3: Probability

Odds and probability statements, mutually exclusive and non-mutually exclusive events, independent and dependent events, the fundamental counting principle, permutations, and combinations.

• Interpreting odds and probability

• Mutually exclusive and non-mutually exclusive events
• Independent and dependent events

• The fundamental counting principle
• Permutations with factorial notation
• Permutations with identical elements
• Combinations

Unit 4: Relations and Functions

Modelling data with polynomial, exponential and logarithmic, and sinusoidal functions using technology.

• Modelling data with polynomial functions

• Modelling data with exponential functions
• Modelling data with logarithmic functions
• Modelling data with sinusoidal functions

Unit 5: Mathematics Research Project

Researching and presenting on a current event or area of interest that involves mathematics.

• Designing the project and collecting data
• Assessing and analyzing the data
• Organizing and presenting the project

Unit 6: Design and Measurement

Analyzing objects, shapes, and processes to solve cost and design problems.

• Costing with measurement and unit prices
• Designing within a budget