8800 version 6
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Apply mathematics to surveying
Level
4
Credits
15
Purpose
This unit standard is for people working, or who intend to work, in the
surveying profession as a survey technician.
People credited with this unit standard are able to: apply trigonometric
functions in surveying contexts; calculate curves for surveying; calculate
parallel-sided figures for surveying; calculate the final dimensions of a line;
calculate survey positions using trigonometric techniques; calculate bearing
closures; calculate traverse closures and adjust misclosures; and calculate
missing lines.
Subfield
Surveying
Domain
Survey Practice
Status
Registered
Status date
25 February 2008
Date version published
25 February 2008
Planned review date
31 December 2012
Entry information
Recommended: Unit 5251, Choose and apply
trigonometric methods to solve problems involving
lengths and angles, or demonstrate equivalent
knowledge and skills.
Accreditation
Evaluation of documentation and visit by NZQA and
industry.
Standard setting body (SSB)
Infrastructure ITO
Accreditation and Moderation Action Plan (AMAP) reference
0101
This AMAP can be accessed at http://www.nzqa.govt.nz/framework/search/index.do.
Special notes
1
Documentation relevant to this unit standard includes:
Surveyor-General’s Rules for Cadastral Survey 2002/2; Surveyor-General’s Rulings
and Advisory Notes, published by Land Information New Zealand at
http://www.linz.govt.nz.
 New Zealand Qualifications Authority 2016
8800 version 6
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2
Evidence is required of calculating using mathematical principles and showing
working. Computer software may not be used in achievement of credit for this unit
standard.
3
A reference for this unit standard is: Price, WF, and Uren, J, Surveying for Engineers
(UK: Palgrave Macmillan 2005), available at http://www.fishpond.co.nz.
Elements and performance criteria
Element 1
Apply trigonometric functions in surveying contexts.
Performance criteria
1.1
Elements of two dimensional figures are solved from supplied data using
trigonometric functions.
Range
figures incorporating – right angle triangle, non-right angle triangle,
convex polygon, concave polygon;
trigonometric functions – Pythogoras’ theorem, sine rule, cosine
rule, right angle rules for trigonometric functions.
Element 2
Calculate curves for surveying.
Performance criteria
2.1
All elements of a circular curve are calculated between intersecting alignments
in accordance with mathematical formulae.
2.2
Points on a segmented curve are calculated to survey and set out a curve in
accordance with mathematical formulae.
Range
2.3
arc length, chord length, deflection angle, chord to arc separation.
Parabolic curves are calculated between intersecting vertical alignments using
mathematical formulae.
Element 3
Calculate parallel-sided figures for surveying.
Performance criteria
3.1
All dimensions are calculated for a series of parallel sides in accordance with
trigonometric formulae for half-angles.
Range
roadway, easement, land parcels.
 New Zealand Qualifications Authority 2016
8800 version 6
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Element 4
Calculate the final dimensions of a line.
Performance criteria
4.1
The final dimensions of a line are calculated by adjusting an observed line in
accordance with specified techniques.
Range
techniques – ray trace, linear regression, line of best fit.
Element 5
Calculate survey positions using trigonometric techniques.
Performance criteria
5.1
An unambiguous position is calculated using trigonometric techniques and
checked in accordance with trigonometric formulae for resections.
5.2
An unambiguous position is calculated using trigonometric techniques and is
checked in accordance with trigonometric formulae for intersections.
Range
intersections – bearing-bearing, bearing-distance, distancedistance.
Element 6
Calculate bearing closures.
Performance criteria
6.1
Bearing closures are calculated and adjusted in accordance with the SurveyorGeneral’s Rules.
Range
a multi-loop traverse.
Element 7
Calculate traverse closures and adjust misclosures.
Performance criteria
7.1
Field measured bearings and distances are combined to create a closed
traverse in accordance with configuration requirements of the SurveyorGeneral’s Ruling 2005/4.
7.2
Errors in measurements are recognised and their effects are explained in terms
of required accuracy.
 New Zealand Qualifications Authority 2016
8800 version 6
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7.3
Misclosures are adjusted in accordance with the Surveyor-General’s Ruling
2005/4.
Range
7.4
bowditch or least squares.
Coordinates are calculated for all marks in a closed traverse and for hanging
ties.
Element 8
Calculate missing lines.
Performance criteria
8.1
Missing lines are calculated by traverse calculations and checked independently
in accordance with the Surveyor-General’s Rules.
Please note
Providers must be accredited by NZQA, or an inter-institutional body with delegated
authority for quality assurance, before they can report credits from assessment against
unit standards or deliver courses of study leading to that assessment.
Industry Training Organisations must be accredited by NZQA before they can register
credits from assessment against unit standards.
Accredited providers and Industry Training Organisations assessing against unit standards
must engage with the moderation system that applies to those standards.
Accreditation requirements and an outline of the moderation system that applies to this
standard are outlined in the Accreditation and Moderation Action Plan (AMAP). The
AMAP also includes useful information about special requirements for organisations
wishing to develop education and training programmes, such as minimum qualifications for
tutors and assessors, and special resource requirements.
Comments on this unit standard
Please contact Infrastructure ITO askus@infratrain.co.nz if you wish to suggest changes to
the content of this unit standard.
 New Zealand Qualifications Authority 2016