Apprenticeship and Workplace Mathematics 12

Unit 1: Geometry

Sine and cosine law on the job, solving problems that involve triangles, quadrilaterals and regular polygons, and transformations of 2-D shapes and 3-D objects.

• Solving problems with the sine law
• Solving problems with the cosine law
• Choosing the right law for the job

• Problems involving triangles
• Problems involving quadrilaterals
• Problems involving regular polygons
• Composite and irregular figures

• Translations of shapes and objects
• Rotations of shapes and objects
• Reflections of shapes and objects
• Dilations of shapes and objects
• Combining transformations to map a figure

Unit 2: Measurement

The limitations of measuring instruments — precision, accuracy, uncertainty, and tolerance — and solving problems with them.

• Precision of a measuring instrument
• Accuracy of a measurement
• Uncertainty in a measurement
• Tolerance and solving problems
• Tolerance stack-up problems

Unit 3: Number

Analysing puzzles and games with logical reasoning, and solving problems about acquiring a vehicle by buying, leasing, and leasing to buy.

• Finding a winning strategy
• Problem-solving techniques for puzzles
• Logical reasoning on the job

• Buying a vehicle
• Leasing a vehicle
• Leasing to buy, and comparing options

Unit 4: Permutations, Combinations and Binomial Theorem

Analysing and interpreting problems that involve probability in everyday and workplace situations.

• Interpreting a probability
• Odds and likelihood
• Using probability to make decisions