Apprenticeship and Workplace Mathematics 10

Unit 1: Geometry

Spatial puzzles, the Pythagorean theorem, similarity of polygons, primary trigonometric ratios, angle relationships between lines, and working with angles — all on the job.

• Analysing spatial puzzles and games

• Recognizing and verifying the Pythagorean theorem
• Applying the Pythagorean formula
• Solving job problems with the Pythagorean theorem

• Recognizing similar polygons
• Solving problems with similar polygons

• Similar right triangles and constant ratios
• Generalizing the ratio patterns
• Applying the primary trigonometric ratios
• Solving job problems with trigonometry

• Parallel, perpendicular and transversal lines
• Angle pairs between lines

• Drawing angles of every type
• Replicating and constructing angles
• Bisecting angles
• Solving problems with angles

Unit 2: Measurement

The SI and Imperial systems, linear measurement in both, and area measurement of 2-D shapes and 3-D objects.

• SI units and their relationships
• Converting SI units to Imperial

• Imperial units and their relationships
• American and British capacity units
• Converting Imperial units to SI

• Solving linear measurement problems
• Verifying linear measurement solutions

• Area of regular and composite 2-D shapes
• Area of irregular 2-D shapes
• Surface area of 3-D objects

Unit 3: Number

Unit pricing and currency exchange, and calculating income and gross and net pay.

• Unit pricing and currency exchange

• Wages, salary and contracts
• Commission and piecework
• Gross and net pay