Mathematics at Work 10

Unit 1: Measurement

SI and imperial measurement systems, converting between them, and solving linear and area measurement problems on the job.

• Relationships among SI units
• Converting SI to imperial units

• Relationships among imperial units
• Converting imperial to SI units

• Referents and estimation for length
• Solving and verifying linear problems

• Referents and estimation for area
• Area of composite and irregular 2-D shapes
• Surface area of 3-D objects

Unit 2: Geometry

Spatial puzzles and games, the Pythagorean theorem, similarity of polygons, primary trigonometric ratios, and angles formed by parallel lines and transversals — applied to trades and construction.

• Strategies for spatial puzzles and games

• Verifying and identifying right triangles
• Solving problems with the Pythagorean theorem

• Determining similarity of polygons
• Solving problems with similar polygons

• Generalizing the sine, cosine, and tangent ratios
• Applying trigonometry to indirect measurement

• Angle pairs from parallel lines and a transversal
• Solving angle problems with transversals

Unit 3: Number

Unit pricing and currency exchange with proportional reasoning, and calculating gross and net pay from wages, salary, commission, and piecework.

• Unit pricing and best buy
• Currency exchange

• Methods of earning income
• Calculating gross pay
• Deductions and net pay

Unit 4: Algebra

Manipulating and applying formulas from measurement, geometry, trigonometry, and income to solve workplace problems.

• Manipulating and applying formulas