Foundations of Mathematics 30

Unit 1: Financial Mathematics

Making real financial decisions with math: renting, leasing, and buying; credit; compound interest; and building and comparing investment portfolios.

• Renting, leasing, and buying large items

• Comparing credit options
• Compound interest and the Rule of 72

• Analyzing investment portfolios

Unit 2: Logical Reasoning

Inductive and deductive reasoning: conditional statements, biconditionals, truth tables and Venn diagrams, and strategy in puzzles and games.

• If-then statements and their variations

• Biconditionals, truth tables, and Venn logic

• Strategies for puzzles and games

Unit 3: Set Theory

Sets, Venn diagrams, and set notation, and using set operations to solve situational problems.

• Sets, Venn diagrams, and set notation

• Solving problems with set operations

Unit 4: Probability

Odds and probability, and the probability of two events that are mutually exclusive, non-mutually exclusive, dependent, or independent.

• Relating odds and probability
• Solving and critiquing odds and probability

• Mutually exclusive and non-mutually exclusive events
• Dependent and independent events
• Solving two-event probability problems

• The fundamental counting principle and factorials
• Permutations
• Combinations

Unit 5: Modelling Data with Functions

Representing and analyzing data using polynomial, exponential, logarithmic, and sinusoidal functions as modelling tools.

• Polynomial models of data

• Exponential and logarithmic models of data

• Sinusoidal models of data

Unit 6: Research and Presentation Project

A staged research project: designing an inquiry, collecting and analyzing data, and presenting findings on a current event or area of interest.

• Planning a data-based inquiry

• Collecting and assessing data

• Presenting research findings