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- take precise measurements using specialized equipment (e.g.) a tape measure, a scale
- make indirect measurements using geometry and trigonometry
- measure curved or irregular surfaces
- measure an angle
- calculate amounts required (e.g.) the number of tiles required for a floor
- calculate areas, perimeters, volumes
- calculate total load weights
- calculate a percentage
- calculate a trajectory
- calculate ratio, average, rate, proportion
- use scientific notation, powers, roots
- use formulae, equations, algebraic problems
- data analysis math (analysis of numerical data)
- analysis of statistics
- determining what is higher, lower or bigger, smaller
- compare a numerical read-out to a range of numbers considered acceptable
- compare rates, averages, etc.
- calculate average rates of return on investments
- compare monthly sales volumes
- make projections
- calculate impacts of different variables on pay and benefits packages
- numerical estimation (tasks that involve any estimation that results in a number)
- estimate amount of material to be used
- estimate time a task will take
- estimate costs
- estimate load weights
- estimate numbers of workers required
- estimate time available
- estimate amounts that can be produced from raw materials
- estimate number that will be sold
Some considerations:
- the need to use specific math foundations (math skills, concepts or knowledge areas):
- number concepts: whole numbers, integers, fractions, decimals, percentages,
powers/roots, scientific notation, significant digits. (Workers read, write, count,
round-off, add, subtract, multiply and divide numbers.)
- number patterns and relations: formulae, equations, rates, ratios, proportion
- shape and special sense: areas, perimeters and volumes, measurement
conversions, geometry and trigonometry (using sine, cosine, tangent, cotangent,
secant and cosecant ratios to solve the unknown side of an angle or triangle)
- statistics and probability: calculating averages, analysing data, using
mathematical theories of probability