Module Outline

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Use basic mathematics in engineering

Use basic mathematics in engineering

Module
National Code
DCSBME631
State Code
BD845
DTWD Status
Approved
State Implementation and Classification
Approved Date
21/09/2026
Field of Education
Nominal Hours
60
Description
This unit describes the performance outcomes, skills and knowledge required to apply basic concepts of mathematics appropriate to engineering situations.

The unit of competency is applied by technicians in an engineering environment to complete basic mathematical calculations.

No licensing, legislative, regulatory or certification requirements apply to this unit at the time of publication.
General notes
No information
No information
Elements and Performance Criteria
Use fundamental techniques in arithmetic, measurement and mensuration.
  • 1.1 Round numbers to a given degree of accuracy.
  • 1.2 Convert between commonly used SI units.
  • 1.3 Convert numbers between decimal and scientific notation.
  • 1.4 Determine the perimeter and area of complex shapes.
  • 1.5 Apply the Theorem of Pythagoras to area and perimeter problems.
  • 1.6 Determine the volume of complex shapes.
  • 1.7 Solve mensuration problems including calculating costs and capacity.
  • 1.8 Solve practical problems involving proportional quantities.
Use fundamental techniques in geometry.
  • 2.1 Perform angle arithmetic involving angles expressed in degrees, minutes and seconds.
  • 2.2 Determine the size of an unknown angle in a diagram involving complementary, supplementary adjacent or vertically opposite angles, or angles formed by parallel lines.
  • 2.3 Perform calculations involving angle, chord and tangent properties of the circle.
Use fundamental concepts in algebra.
  • 3.1 Solve arithmetical problems using the correct order of operations.
  • 3.2 Substitute into and evaluate algebraic expressions.
  • 3.3 Simplify algebraic expressions by combining like terms and using the distributive law.
  • 3.4 Simplify algebraic fractions.
  • 3.5 Solve linear equations in one unknown, including applied problems from which an equation can be created.
  • 3.6 Evaluate formulae by substitution, giving answers with appropriate units.
  • 3.7 Transpose formulae including those where one variable is repeated.
  • 3.8 Determine the equation of a straight line from various situations, including for the line of best fit obtained graphically from empirical data.
  • 3.9 Use function notation.
  • 3.10 Solve simultaneous equations analytically and graphically.
Use quadratic equations and their graphs in problem solving.
  • 4.1 Factorise polynomial expressions involving common factor and difference of two squares.
  • 4.2 Solve analytically and graphically a system consisting of a quadratic and linear function.
Use right triangle trigonometry to solve applied problems.
  • 5.1 Define the trigonometric ratios sine, cosine and tangent from a right triangle.
  • 5.2 Use a calculator to determine the sine, cosine and tangent of angles stated in degrees.
  • 5.3 Use a calculator to determine the size of an angle (correct to a certain number of decimal places) given the sine, cosine or tangent of that angle.
  • 5.4 Determine an unknown side of a right triangle using the sine, cosine or tangent of a known angle.
  • 5.5 Determine an unknown angle of a right triangle using inverse sine, inverse cosine or inverse tangent of known sides.
  • 5.6 Solve applied problems using Pythagoras’ theorem and the trigonometric ratios sine, cosine and tangent.
Replaces
State Code National Code Title Type
AZ034 DCSBME604 Use basic mathematics in engineering Module
Associated Qual/Courses
State Code National Code Title Type
BHW56 52950WA Advanced Diploma of Civil and Structural Engineering Accredited course
BHW53 52951WA Diploma of Civil and Structural Engineering Accredited course