Mathematics 20-2

Unit 1: Measurement

General outcome: develop spatial sense and proportional reasoning. Rates, scale diagrams by proportional reasoning, and how scale factors relate the areas, surface areas and volumes of similar 2-D shapes and 3-D objects.

• Solving problems with rates
• Scale diagrams by proportional reasoning

• Scale factor and area of similar 2-D shapes
• Scale factor, surface area and volume of similar 3-D objects

Unit 2: Geometry

General outcome: develop spatial sense through deductive reasoning about angles and triangles. Derive proofs of angle and triangle properties, solve problems with those properties, and extend to the sine and cosine laws (excluding the ambiguous case).

• Deriving proofs about angles
• Deriving proofs about triangles

• Solving problems with angle properties
• Solving problems with triangle properties

• The sine law
• The cosine law

Unit 3: Number and Logic

General outcome: develop number sense and logical reasoning. Inductive and deductive reasoning to analyze and prove conjectures, spatial puzzles and games, operations on radicals, and radical equations.

• Making conjectures by inductive reasoning
• Proving conjectures by deductive reasoning

• Strategies for spatial puzzles and games
• Determining and justifying a winning strategy

• Simplifying and combining radicals
• Multiplying and dividing radical expressions

• Solving square-root equations
• Solving cube-root equations and problems

Unit 4: Statistics

General outcome: develop statistical reasoning. The normal distribution with standard deviation and z-scores, and the interpretation of statistical data using confidence intervals, confidence levels and margin of error.

• Standard deviation and the normal curve
• z-scores and standardizing

• Confidence intervals and confidence levels
• Margin of error

Unit 5: Relations and Functions

General outcome: develop algebraic and graphical reasoning about quadratics. The characteristics of quadratic functions (vertex, intercepts, domain and range, axis of symmetry) and solving problems that involve quadratic equations.

• Vertex and axis of symmetry
• Intercepts, domain and range

• Solving quadratic equations by factoring
• Solving with the quadratic formula

Unit 6: Mathematics Research Project

General outcome: develop an appreciation of mathematics through research. Plan, conduct and present a research investigation on a historical event or an area of interest that involves mathematics.

• Researching and presenting a mathematics topic