Mathematics 20-3

Unit 1: Measurement

General outcome: develop spatial sense through direct and indirect measurement on the job. Work in both SI and imperial units to find the surface area of 3-D objects (material for painting, cladding, sheeting) and the volume and capacity of containers (concrete, fuel, water) — and verify every solution against the situation.

• Surface area in SI and imperial units
• Verifying surface-area solutions

• Volume in SI and imperial units
• Capacity of containers

Unit 2: Geometry

General outcome: develop spatial sense on the job through trigonometry, scale and 3-D representation. Solve problems that chain two and three right triangles, work with scale (drawings and models), and model, draw and describe 3-D objects, their views, exploded views and component parts.

• Problems with two right triangles
• Problems with three right triangles

• Reading and using scale
• Determining and applying a scale

• Modelling and drawing 3-D views
• Exploded views and component parts
• Scale diagrams of 3-D objects

Unit 3: Number

General outcome: develop number sense and financial literacy for the workplace and personal life. Numerical-reasoning puzzles and games, personal budgets, compound interest, the services of financial institutions, and credit options such as credit cards and loans.

• Strategies for numerical puzzles and games
• Justifying a numerical strategy

• Building a personal budget
• Adjusting a budget to a goal

• Understanding compound interest
• Services of financial institutions
• Credit cards
• Loans

Unit 4: Algebra

General outcome: develop algebraic reasoning for on-the-job formulas and rates. Manipulate and apply formulas (volume, capacity, surface area, slope, rate of change, simple interest, finance charges), understand slope as rise over run and as a rate of change, and solve problems with proportional reasoning and unit analysis.

• Rearranging a formula for a variable
• Applying finance and rate formulas

• Slope as rise over run
• Slope as a rate of change
• Proportional reasoning and unit analysis

Unit 5: Statistics

General outcome: develop statistical reasoning for interpreting workplace data. Create and interpret bar graphs, histograms, line graphs and circle graphs to read production, safety, sales and budget data critically.

• Creating the right graph for the data
• Interpreting graphs critically