Foundations of Mathematics 11

Unit 1: Mathematical Reasoning

Logic, conjecture, inductive and deductive thinking, proof, and counter-examples — learning how mathematics argues.

• Inductive reasoning, conjectures, and counter-examples
• Deductive reasoning and proof

Unit 2: Angle Relationships & Scale Models

Angle properties and proofs with parallel lines and polygons, and the geometry of scaling in two and three dimensions.

• Angles with parallel lines
• Angles in triangles and polygons

• Enlargements, reductions, and similar objects
• The square-cube law in the real world

Unit 3: Graphical Analysis with Technology

Linear inequalities, quadratic functions, systems, and optimization — analyzed graphically using technology, per the curriculum's own 'using technology only' note.

• Solution regions of linear inequalities

• Analyzing quadratic function graphs
• Systems: linear-quadratic and quadratic-quadratic
• Optimization with feasible regions

Unit 4: Applications of Statistics

From question to data to answer: central tendency, standard deviation, z-scores, distributions, and confidence intervals in real applications.

• Measuring spread: standard deviation
• Z-scores, the normal distribution, and confidence intervals

Unit 5: Financial Literacy

Compound interest, investments and loans with regular payments, and buy-versus-lease reasoning.

• Compound interest
• Regular payments and buy-vs-lease