Trade Math and Measurement
The arithmetic, geometry and trigonometry every trade uses daily, followed through a first-year apprentice on a mid-rise building: tape reading and fractions, decimals and percentages, unit conversions, area and volume, squaring layouts, trigonometry, pipe offsets, slopes and stairs, ratios and scale drawings, trade formulas and material takeoffs.
TRD-102 12 lessons · 5 h 53 min
Offered by HSM University · Trades Core
This is the American version of this course. See the Canadian version.
What you'll learn
- Read a tape measure accurately to the nearest sixteenth of an inch and the nearest millimeter, and add, subtract, multiply and divide fractional measurements.
- Convert between fractions, decimals, percentages and decimal feet, and round correctly for cutting and for ordering.
- Convert between US customary and metric units with the unit-factor method, and explain nominal and actual sizes.
- Calculate perimeters and areas of floors, walls, roofs and irregular shapes, and apply coverage rates.
- Calculate volumes and weights of concrete, fill, excavation and liquids, including footings, columns and pipes.
- Use the Pythagorean theorem and whole-number triples to square layouts, check diagonals and find brace lengths.
- Use sine, cosine and tangent to find unknown sides and angles, and convert between angles, ratios and percent grades.
- Calculate the set, run, travel and cut length of simple, parallel and rolling pipe offsets.
- Calculate drain falls and elevations, ramp lengths, stair risers and treads, and roof pitch factors.
- Solve ratio and proportion problems for mixes, drawing scales, production rates and crew sizes.
- Rearrange and apply trade formulas, including Ohm's law, electrical power, water pressure with height and thermal expansion.
- Prepare a material takeoff with counts, lengths and areas, waste factors, purchase units and a reasonableness check.
Course content
12 lessons · 5 h 53 min total · final exam
- 1 Reading a tape measure and working with fractions 30 min · quiz
- 2 Decimals, percentages and converting between them 31 min · quiz
- 3 US customary and metric measurement on the job 30 min · quiz
- 4 Perimeter and area of floors, walls and roofs 29 min · quiz
- 5 Volume: concrete, fill and excavation 33 min · quiz
- 6 Right triangles: Pythagoras and squaring a layout 31 min · quiz
- 7 Trigonometry on the job: angles, rise and run 29 min · quiz
- 8 Pipe offsets and rolling offsets 30 min · quiz
- 9 Slope and grade: drains, ramps, stairs and roofs 26 min · quiz
- 10 Ratios, proportions and scale drawings 30 min · quiz
- 11 Formulas on the job: rearranging, Ohm's law and water pressure 30 min · quiz
- 12 Material takeoffs and estimating quantities 24 min · quiz
- E Final exam 20 questions
Description
The arithmetic, geometry and trigonometry every trade uses daily, followed through a first-year apprentice on a mid-rise building: tape reading and fractions, decimals and percentages, unit conversions, area and volume, squaring layouts, trigonometry, pipe offsets, slopes and stairs, ratios and scale drawings, trade formulas and material takeoffs.