NZQA registered unit standard
17691 version 4
Page 1 of 3
Title
Use mathematics to solve problems in an extractive industries
workplace
Level
4
Credits
15
Purpose
People credited with this unit standard are able to: solve
arithmetical problems; solve mensuration problems; solve
trigonometrical problems; solve geometrical problems; and use
algebra to solve workplace problems, in an extractive industries
workplace.
Classification
Extractive Industries > Extractive Industries Management
Available grade
Achieved
Explanatory notes
None.
Outcomes and evidence requirements
Outcome 1
Solve arithmetical problems in an extractive industries workplace.
Evidence requirements
1.1
Fractions, decimals, and percentages are manipulated and interchanged in
appropriate calculations.
Range
1.2
halves, thirds, quarters, fifths, tenths, twentieths.
Ratios, rates, and proportions are used to calculate solutions to workplace
problems.
Range
speed, time, distance, water flow into and out of the site,
production levels, pulleys.
1.3
Estimations and approximations are used in the solution of workplace problems.
1.4
Scientific notation is used to manipulate very large and very small numbers.
NZ Motor Industry Training Organisation
(Incorporated) (MITO)
SSB Code 101542
 New Zealand Qualifications Authority 2016
NZQA registered unit standard
17691 version 4
Page 2 of 3
Outcome 2
Solve mensuration problems in an extractive industries workplace.
Evidence requirements
2.1
Areas of regular objects are calculated.
Range
2.2
Volumes of regular objects are calculated.
Range
2.3
triangles, squares, rectangles, rhombuses, circles, annuli.
objects may include but are not limited to – prisms, cones,
pyramids, stock piles, windrows, stopes and pillars.
Masses of various objects encountered in the workplace are calculated using
volume and density.
Range
may include but is not limited to – dams, bins, stockpiles; blocks,
stopes and pillars in situ.
Outcome 3
Solve trigonometrical problems in an extractive industries workplace.
Evidence requirements
3.1
Trigonometrical ratios are used to solve problems in the workplace.
Range
sine, cosine, tangent, gradients.
Outcome 4
Solve geometrical problems in an extractive industries workplace.
Evidence requirements
4.1
Geometrical properties of lines, angles, polygons, and circles are calculated and
used to solve problems in the workplace.
4.2
Pythagoras’ Theorem is used to solve relevant workplace problems.
Range
may include but is not limited to – shafts, drifts, haul roads, mast
heights, slope distances.
Outcome 5
Use algebra to solve workplace problems in an extractive industries workplace.
NZ Motor Industry Training Organisation
(Incorporated) (MITO)
SSB Code 101542
 New Zealand Qualifications Authority 2016
NZQA registered unit standard
17691 version 4
Page 3 of 3
Evidence requirements
5.1
Workplace problems are solved using linear equations.
Range
5.2
algebraic language and concepts, find unknowns.
Formulae are used to solve workplace problems.
Range
simple power, air and water flow, ventilation, mechanics; geometry
formulae are used and transposed as required.
Planned review date
31 December 2019
Status information and last date for assessment for superseded versions
Process
Version Date
Last Date for Assessment
Registration
1
25 November 2000
31 December 2017
Review
2
24 November 2005
31 December 2017
Rollover and
Revision
3
16 July 2010
31 December 2017
Review
4
18 June 2015
N/A
Consent and Moderation Requirements (CMR) reference
0114
This CMR can be accessed at http://www.nzqa.govt.nz/framework/search/index.do.
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 (CMR). 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 NZ Motor Industry Training Organisation (Incorporated) (MITO)
info@mito.org.nz if you wish to suggest changes to the content of this unit standard.
NZ Motor Industry Training Organisation
(Incorporated) (MITO)
SSB Code 101542
 New Zealand Qualifications Authority 2016