NZQA Expiring unit standard
5268 version 6
Page 1 of 3
Title
Manipulate trigonometric expressions, sketch graphs of
trigonometric functions, and solve equations
Level
3
Credits
4
Purpose
People credited with this unit standard are able to manipulate
trigonometric expressions, sketch graphs of trigonometric
functions, and solve trigonometric equations.
Classification
Mathematics > Trigonometry
Available grade
Achieved
Explanatory notes
1
Learning Programme
This unit standard can be used to assess outcomes of a learning programme based
on achievement objectives from Mathematics in the New Zealand Curriculum,
Ministry of Education (Wellington: Learning Media, 1992):
Algebra (Exploring patterns and relationships), Level 8, page 164
– sketch the graphs of inverse and/or reciprocal functions and explain relationships
between them and the original functions;
Algebra (Exploring equation and expressions), Level 8, page 164
– carry out the manipulation necessary to use trigonometric expressions in other
areas of mathematics;
– find solutions, including the general solution, for trigonometric equations;
or from Tauaki Marautanga Pāngarau, Ministry of Education (Wellington: Learning
Media, 1994), Taurangi, Taumata 8.
Examples of contexts for graphs are circular motion (eg ferris wheel), tides,
pendulum motion, bio-rhythms.
The skills of this unit standard are some of those that satisfy requirements for Unit
5254, Link mathematical processes and skills in problems.
2
Assessment notes
For outcome 1, the standard must be met in at least 3 techniques from the following
list: reciprocal or inverse relationships; Pythagorean identities; compound angle
formulae; sum and product formulae.
For outcome 2, the standard must be met in graphs which include reciprocal or
inverse trigonometric functions.
For outcome 3, the standard must be met for equations of the form atrig(bx + c) = d
where c or d may be 0. Equations may be set in context.
NZQA National Qualifications Services
SSB Code 130301
 New Zealand Qualifications Authority 2016
NZQA Expiring unit standard
5268 version 6
Page 2 of 3
Calculators and/or computers may be used in the achievement of credit for this unit
standard.
Competence in Unit 5243, Apply mathematical processes and skills in problems; Unit
5255, Use trigonometry and trigonometric graphs to solve equations and problems;
and Unit 5246, Manipulate algebraic expressions and use algebraic methods to solve
problems is recommended before undertaking assessment towards this unit
standard.
Outcomes and evidence requirements
Outcome 1
Manipulate trigonometric expressions.
Evidence requirements
1.1
Technique applied achieves purpose.
Outcome 2
Sketch graphs of trigonometric functions.
Evidence requirements
2.1
Sketch is consistent with function.
Outcome 3
Solve trigonometric equations.
Evidence requirements
3.1
Solutions are consistent with the equations.
Replacement information
This unit standard and AS90637 have been replaced by
AS91575.
This unit standard is expiring. Assessment against the standard must take place by
the last date for assessment set out below.
NZQA National Qualifications Services
SSB Code 130301
 New Zealand Qualifications Authority 2016
NZQA Expiring unit standard
5268 version 6
Page 3 of 3
Status information and last date for assessment for superseded versions
Process
Version Date
Last Date for Assessment
Registration
1
3 August 1995
31 December 2015
Revision
2
26 November 1996
31 December 2015
Revision
3
1 November 1999
31 December 2015
Review
4
22 June 2004
31 December 2015
Review
5
4 December 2012
31 December 2015
Rollover
6
19 November 2015
31 December 2019
Consent and Moderation Requirements (CMR) reference
0226
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.
NZQA National Qualifications Services
SSB Code 130301
 New Zealand Qualifications Authority 2016