Mathematics at Work 12

Unit 1: Geometry

The sine and cosine laws, properties of triangles, quadrilaterals, and regular polygons, and transformations of 2-D shapes and 3-D objects — all in construction, industrial, and artistic contexts.

• The sine law
• The cosine law

• Properties of triangles and quadrilaterals
• Properties of regular polygons
• Applying polygon properties

• Single transformations
• Combinations of transformations
• Dilations and similarity

Unit 2: Number

Logical puzzles and games, and the financial decision of acquiring a vehicle by buying, leasing, or leasing to buy.

• Strategies for logical puzzles and games

• Options for acquiring a vehicle
• Solving vehicle-acquisition problems
• Justifying a vehicle decision

Unit 3: Algebra

Understanding linear relations by recognizing patterns, graphing, building tables, writing equations, interpolating and extrapolating, and solving problems.

• Recognizing patterns and trends in linear relations
• Tables of values and equations
• Graphing linear relations
• Interpolating and extrapolating
• Scatterplots and trends

Unit 4: Statistics

Measures of central tendency — mean, median, and mode — and the effect of outliers.

• Mean, median, and mode
• Outliers and interpreting data

Unit 5: Probability

Analyzing and interpreting problems that involve probability, including odds and real-world applications.

• Calculating probability
• Odds and probability
• Applications and decisions