Unit of Competency Mapping – Information for Teachers/Assessors – Information for Learners

MARL009 Mapping and Delivery Guide
Perform basic marine engineering calculations

Version 1.0
Issue Date: April 2024


Qualification -
Unit of Competency MARL009 - Perform basic marine engineering calculations
Description
Employability Skills
Learning Outcomes and Application This unit involves the skills and knowledge required to perform basic marine engineering calculations required for the operation of marine machinery and equipment.This unit applies to people working in the maritime industry as a Marine Engineering Watchkeeper on commercial vessels greater than 750 kW or as an Engineer Class 3 Near Coastal.This unit has links to legislative and certification requirements.
Duration and Setting X weeks, nominally xx hours, delivered in a classroom/online/blended learning setting.

Assessors must satisfy National Vocational Education and Training Regulator (NVR)/Australian Quality Training Framework (AQTF) assessor requirements.

Assessment must occur in workplace operational situations where it is appropriate to do so; where this is not appropriate, assessment must occur in simulated workplace operational situations that reflect workplace conditions.

Assessment processes and techniques must be appropriate to the language, literacy and numeracy requirements of the work being performed and the needs of the candidate.

Resources for assessment must include access to:

tools, equipment, machinery, materials and personal protective equipment currently used in industry

applicable documentation such as legislation, regulations, codes of practice, workplace procedures and operational manuals

range of relevant exercises, case studies and/or simulations.
Prerequisites/co-requisites
Competency Field L - Marine Engineering
Development and validation strategy and guide for assessors and learners Student Learning Resources Handouts
Activities 		Slides
PPT 		Assessment 1 Assessment 2 Assessment 3 Assessment 4
Elements of Competency Performance Criteria              
Element: Apply mathematical formulae to solve marine engineering problems
  • Proportions, variation, percentages and averages are calculated, and method of unity is applied
  • Problems involving the manipulation of indices are solved
  • Written descriptions of actual or hypothetical marine engineering problems are expressed in mathematical terms
  • Algebraic formulae and equations are manipulated to change subjects, as and when required
  • Index problems are converted to logarithmic problems, and vice versa, according to the Law of Logarithms
  • Calculator is used to resolve marine engineering problems
       
Element: Calculate areas, volumes and masses of regular and irregular figures
  • Problems related to areas and volumes of regular geometric figures are solved using standard formulae
  • Problems relating to surface areas and volumes of circular figures are solved
  • Centres of gravity and centroids of area are found for both line figures and areas
  • Concept of density is applied to calculate masses
       
Element: Apply trigonometry to solve problems relating to angular measurement and the resolution of vectors
  • Basic trigonometric ratios of sine, cosine and tangent, together with their reciprocals are explained with respect to the sides of a right-angled triangle
  • Pythagoras’ Theorem is proved
  • Problems associated with single angle trigonometric identities including those derived from the application of Pythagoras’ Theorem to the basic sin, cos and tan identities are solved
  • Derivation of multiple, double and half angle trigonometric identities are shown and used to simplify complicated trigonometric expressions and identities
  • Sine Rule and Cosine Rule for solution of triangles are proved and applied
       


Evidence Required

List the assessment methods to be used and the context and resources required for assessment. Copy and paste the relevant sections from the evidence guide below and then re-write these in plain English.

Elements describe the essential outcomes.

Performance criteria describe the performance needed to demonstrate achievement of the element.

1

Apply mathematical formulae to solve marine engineering problems

1.1

Proportions, variation, percentages and averages are calculated, and method of unity is applied

1.2

Problems involving the manipulation of indices are solved

1.3

Written descriptions of actual or hypothetical marine engineering problems are expressed in mathematical terms

1.4

Algebraic formulae and equations are manipulated to change subjects, as and when required

1.5

Index problems are converted to logarithmic problems, and vice versa, according to the Law of Logarithms

1.6

Calculator is used to resolve marine engineering problems

2

Calculate areas, volumes and masses of regular and irregular figures

2.1

Problems related to areas and volumes of regular geometric figures are solved using standard formulae

2.2

Problems relating to surface areas and volumes of circular figures are solved

2.3

Centres of gravity and centroids of area are found for both line figures and areas

2.4

Concept of density is applied to calculate masses

3

Apply trigonometry to solve problems relating to angular measurement and the resolution of vectors

3.1

Basic trigonometric ratios of sine, cosine and tangent, together with their reciprocals are explained with respect to the sides of a right-angled triangle

3.2

Pythagoras’ Theorem is proved

3.3

Problems associated with single angle trigonometric identities including those derived from the application of Pythagoras’ Theorem to the basic sin, cos and tan identities are solved

3.4

Derivation of multiple, double and half angle trigonometric identities are shown and used to simplify complicated trigonometric expressions and identities

3.5

Sine Rule and Cosine Rule for solution of triangles are proved and applied

Evidence required to demonstrate competence in this unit must be relevant to and satisfy all of the requirements of the elements and performance criteria on at least one occasion and include:

assessing own work outcomes and maintaining knowledge of current codes, standards, regulations and industry practices

explaining basic mathematical concepts and techniques relevant to marine engineering, and

identifying and determining appropriate mathematical techniques and formula to solve marine engineering problems

identifying the methods and procedures needed to select mathematical techniques and formula to solve marine engineering problems

imparting knowledge and ideas through verbal, written and visual means

performing accurate and reliable calculations

performing calculations relevant to marine engineering, including volumes and masses of regular and irregular areas

reading and interpreting written information on marine engineering problems and express this information in mathematical terms

solving problems using appropriate laws and principles

using a calculator to resolve marine engineering problems.

Evidence required to demonstrate competence in this unit must be relevant to and satisfy all of the requirements of the elements and performance criteria and include knowledge of:

centre of gravity (CG), longitudinal centre of gravity (LCG), vertical centre of gravity (VCG)

centroids of area

formulae for areas, volumes and masses of regular and irregular shapes

indices

Law of Logarithms

proportions, variation, percentages, averages and method of unity

Pythagoras’ Theorem.

Submission Requirements

List each assessment task's title, type (eg project, observation/demonstration, essay, assignment, checklist) and due date here

Assessment task 1: [title]      Due date:

(add new lines for each of the assessment tasks)

Assessment Tasks

Copy and paste from the following data to produce each assessment task. Write these in plain English and spell out how, when and where the task is to be carried out, under what conditions, and what resources are needed. Include guidelines about how well the candidate has to perform a task for it to be judged satisfactory.

Elements describe the essential outcomes.

Performance criteria describe the performance needed to demonstrate achievement of the element.

1

Apply mathematical formulae to solve marine engineering problems

1.1

Proportions, variation, percentages and averages are calculated, and method of unity is applied

1.2

Problems involving the manipulation of indices are solved

1.3

Written descriptions of actual or hypothetical marine engineering problems are expressed in mathematical terms

1.4

Algebraic formulae and equations are manipulated to change subjects, as and when required

1.5

Index problems are converted to logarithmic problems, and vice versa, according to the Law of Logarithms

1.6

Calculator is used to resolve marine engineering problems

2

Calculate areas, volumes and masses of regular and irregular figures

2.1

Problems related to areas and volumes of regular geometric figures are solved using standard formulae

2.2

Problems relating to surface areas and volumes of circular figures are solved

2.3

Centres of gravity and centroids of area are found for both line figures and areas

2.4

Concept of density is applied to calculate masses

3

Apply trigonometry to solve problems relating to angular measurement and the resolution of vectors

3.1

Basic trigonometric ratios of sine, cosine and tangent, together with their reciprocals are explained with respect to the sides of a right-angled triangle

3.2

Pythagoras’ Theorem is proved

3.3

Problems associated with single angle trigonometric identities including those derived from the application of Pythagoras’ Theorem to the basic sin, cos and tan identities are solved

3.4

Derivation of multiple, double and half angle trigonometric identities are shown and used to simplify complicated trigonometric expressions and identities

3.5

Sine Rule and Cosine Rule for solution of triangles are proved and applied

Specifies different work environments and conditions that may affect performance. Essential operating conditions that may be present (depending on the work situation, needs of the candidate, accessibility of the item, and local industry and regional contexts) are included.

Range is restricted to essential operating conditions and any other variables essential to the work environment.

Not Applicable.

Copy and paste from the following performance criteria to create an observation checklist for each task. When you have finished writing your assessment tool every one of these must have been addressed, preferably several times in a variety of contexts. To ensure this occurs download the assessment matrix for the unit; enter each assessment task as a column header and place check marks against each performance criteria that task addresses.

Observation Checklist

Tasks to be observed according to workplace/college/TAFE policy and procedures, relevant legislation and Codes of Practice Yes No Comments/feedback
Proportions, variation, percentages and averages are calculated, and method of unity is applied 
Problems involving the manipulation of indices are solved 
Written descriptions of actual or hypothetical marine engineering problems are expressed in mathematical terms 
Algebraic formulae and equations are manipulated to change subjects, as and when required 
Index problems are converted to logarithmic problems, and vice versa, according to the Law of Logarithms 
Calculator is used to resolve marine engineering problems 
Problems related to areas and volumes of regular geometric figures are solved using standard formulae 
Problems relating to surface areas and volumes of circular figures are solved 
Centres of gravity and centroids of area are found for both line figures and areas 
Concept of density is applied to calculate masses 
Basic trigonometric ratios of sine, cosine and tangent, together with their reciprocals are explained with respect to the sides of a right-angled triangle 
Pythagoras’ Theorem is proved 
Problems associated with single angle trigonometric identities including those derived from the application of Pythagoras’ Theorem to the basic sin, cos and tan identities are solved 
Derivation of multiple, double and half angle trigonometric identities are shown and used to simplify complicated trigonometric expressions and identities 
Sine Rule and Cosine Rule for solution of triangles are proved and applied 

Forms

Assessment Cover Sheet

MARL009 - Perform basic marine engineering calculations
Assessment task 1: [title]

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Assessment Record Sheet

MARL009 - Perform basic marine engineering calculations

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Assessment task 1: [title] Result: Competent Not yet competent

(add lines for each task)

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Overall assessment result: Competent Not yet competent

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