Mathematics 11

Unit 1: Geometry

Properties of angles and triangles formed by parallel lines and transversals, and solving oblique triangles with the sine law and cosine law.

• Angles from parallel lines and transversals
• Triangle angle-sum and exterior angles
• Similar and congruent triangles
• Solving angle and triangle problems

• The sine law
• The cosine law
• Choosing and applying the laws in context

Unit 2: Logical Reasoning

Inductive and deductive reasoning: making and testing conjectures, disproving with counterexamples, and constructing proofs.

• Inductive reasoning and conjectures
• Inductive versus deductive reasoning
• Deductive proof of relationships
• Testing validity and solving reasoning problems

Unit 3: Statistics

The normal distribution with standard deviation and z-scores, statistical inference with confidence intervals and margin of error, and a critical look at society's use of inferential statistics.

• Standard deviation and the normal curve
• Recognizing normal distributions
• Z-scores
• Using standard deviation to make decisions

• Confidence levels and margin of error
• Making inferences from sample data
• Interpreting statistics in the media

• Critically analyzing statistical claims

Unit 4: Relations and Functions

Systems of linear inequalities in two variables and the characteristics of quadratic functions.

• Graphing systems of linear inequalities
• Optimization with linear programming

• Intercepts and roots of quadratics
• Vertex and axis of symmetry
• Domain and range of quadratics
• Sketching and applying quadratic functions
• How many x-intercepts a quadratic has