NZQA registered unit standard
29412 version 1
Page 1 of 3
Title
Demonstrate knowledge of surveying mathematical principles
Level
3
Credits
15
Purpose
People credited with this standard are able to: demonstrate
knowledge of algebra equations, rearrange and solve for the
elements of right and non-right angled triangles, analyse
geometric shapes for survey applications, and demonstrate
knowledge of the application of vectors and statistics to
surveying.
Classification
Surveying > Survey Practice
Available grade
Achieved
Entry information
Recommended skills
and knowledge
Recommended unit standard: 91259, Apply trigonometric
relationships in solving problems
Outcomes and evidence requirements
Outcome 1
Demonstrate knowledge of algebraic equations.
Evidence requirements
1.1
Re-arrange and solve formulae that will be used in surveying applications.
Range
applications may include but are not limited to – circular curves,
geodetic equations, sine rule, cosine rule.
Outcome 2
Demonstrate knowledge of trigonometry to solve for the elements of right angled and nonright angled triangles.
Evidence requirements
2.1
Solve for the unknown elements of triangles from known elements.
Range
Infrastructure ITO
SSB Code 101813
applications may include but are not limited to –sine rule, cosine
rule, trigonometric ratios, Pythagoras theorem, area calculation.
 New Zealand Qualifications Authority 2016
NZQA registered unit standard
29412 version 1
Page 2 of 3
Outcome 3
Analyse geometric shapes for survey applications.
Evidence requirements
3.1
Recognise the relationships of angles in circular geometry.
3.2
Solve for areas and volumes in basic geometric shapes.
Outcome 4
Demonstrate knowledge of the application of vectors to surveying.
Evidence requirements
4.1
Convert polar vectors to rectangular vectors.
4.2
Convert rectangular vectors to polar vectors.
4.3
Add and subtract vectors.
4.4
Scale vectors by a factor.
Outcome 5
Demonstrate knowledge of the application of statistics to surveying.
Evidence requirements
5.1
Calculate mean, mode, median.
5.2
Calculate variance, standard deviation, standard error and confidence intervals.
5.3
Describe normal distribution.
Planned review date
31 December 2020
Status information and last date for assessment for superseded versions
Process
Version Date
Last Date for Assessment
Registration
1
21 April 2016
N/A
Consent and Moderation Requirements (CMR) reference
0101
This CMR can be accessed at http://www.nzqa.govt.nz/framework/search/index.do.
Infrastructure ITO
SSB Code 101813
 New Zealand Qualifications Authority 2016
NZQA registered unit standard
29412 version 1
Page 3 of 3
Please note
Providers must be granted consent to assess against standards (accredited) by NZQA,
before they can report credits from assessment against unit standards or deliver courses
of study leading to that assessment.
Industry Training Organisations must be granted consent to assess against standards by
NZQA before they can register credits from assessment against unit standards.
Providers and Industry Training Organisations, which have been granted consent and
which are assessing against unit standards must engage with the moderation system that
applies to those standards.
Requirements for consent to assess and an outline of the moderation system that applies
to this standard are outlined in the Consent and Moderation Requirements (CMRs). The
CMR 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 the Connexis qualifications@connexis.org.nz if you wish to suggest
changes to the content of this unit standard.
Infrastructure ITO
SSB Code 101813
 New Zealand Qualifications Authority 2016