Foundations of Mathematics 12
Prince Edward Island · Grade 12 · Mathematics — the complete curriculum-aligned outline, taught skill by skill by MapleMind's AI tutor.
Unit 1: Financial Mathematics
Compound interest in financial decisions, the costs and benefits of renting, leasing and buying, and analysing an investment portfolio.
- Calculating compound interest
- Compound interest in decisions
- Costs of renting, leasing and buying
- Benefits and choosing an option
- Interest rate and rate of return
- Total return of a portfolio
Unit 2: Logical Reasoning
Analysing puzzles and games with numerical and logical reasoning, applying set theory, and reasoning with conditional statements.
- Numerical reasoning in puzzles
- Logical reasoning in games
- Sets and set operations
- Solving set-theory problems
- Conditional statements and their forms
- Reasoning with conditional statements
Unit 3: Permutations, Combinations and Binomial Theorem
Odds and probability statements, probability of mutually exclusive and two events, the fundamental counting principle, permutations, and combinations.
- Interpreting odds and probability
- Assessing the validity of claims
- Mutually exclusive and non-mutually exclusive events
- Applying the addition rule
- Probability of two events
- Conditional probability of two events
- The fundamental counting principle
- The counting principle with restrictions
- Permutations
- Permutations with restrictions
- Combinations
- Applying combinations
Unit 4: Relations and Functions
Representing data with polynomial, exponential and logarithmic, and sinusoidal functions to solve problems — functions as data-modelling tools.
- Fitting a polynomial model to data
- Solving problems with a polynomial model
- Fitting exponential and logarithmic models
- Solving problems with exponential and logarithmic models
- Fitting a sinusoidal model to data
- Solving problems with a sinusoidal model
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