Field Sciences
Revision to add an interpretation in Māori to Mathematics and Statistics Level 3 achievement standards
Revised achievement standards (interpretations)
|
Domain |
ID |
Subject reference |
|
Algebra |
91573, 91574, 91577, 91587 |
Mathematics and Statistics 3.1, 3.2, 3.5, 3.15 |
|
Calculus |
91578, 91579 |
Mathematics and Statistics 3.6, 3.7 |
|
Geometry |
91576 |
Mathematics and Statistics 3.4 |
|
Trigonometry |
91575 |
Mathematics and Statistics 3.3 |
|
Probability |
91585, 91586 |
Mathematics and Statistics 3.13, 3.14 |
|
Statistics |
91580-91584 |
Mathematics and Statistics 3.8-3.12 |
The Ministry of Education has completed revision of the achievement standards listed above.
Date new versions published November 2016
Planned review date 31 December 2018
Summary of revision, development, and consultation process
In 2010 the Ministry of Education, in association with the New Zealand Qualifications Authority and subject working groups, began to develop achievement standards derived from outcomes in Te Marautanga o Aotearoa (TMoA). This development also addressed duplication of outcomes, credit parity, fairness, consistency and coherence. The development was guided by the direction of Te Marautanga o Aotearoa and the Standards Review Guidelines. A copy of TMoA is available at: http://tmoa.tki.org.nz/Nga-Marautanga-o-Aotearoa/Te-Marautanga-o-Aotearoa.
Draft achievement standards were developed with the involvement of teacher subject working groups. The draft standards were the focus of wide consultation, especially with kaiako (teachers) in wharekura (secondary programmes in Māori-medium schools). Resources were also developed to support the standards.
Outline of interpretation process
The interpretations were undertaken by subject and language specialists contracted by the Ministry of Education, and were quality assured by Ministry of Education staff and an externally contracted critique group comprised of language specialists. The Māori interpretations follow the English versions of the standards in the documents.
Main changes resulting from revision
· All TMoA Level 8 (NZQF Level 3) outcomes are now assessed using achievement standards (there are no longer any unit standards linked to TMoA).
· Grading criteria for achievement standards were reviewed in accordance with the Standards Review Guidelines.
· Mathematics and Statistics achievement standards aligned with outcomes from the New Zealand Curriculum (NZC), 3.1-3.15 (91573-91587) were re-interpreted in te reo Māori in line with the standard template for Māori-medium achievement standards.
· The English-language versions of the standards have been amended to show that they also derive from achievement objectives in TMoA and the review date has been changed to 31 December 2018.
For a detailed description of the revision of, and the changes to, the Mathematics and Statistics standards see the Appendix at the end of this report.
Impact on existing organisations with consent to assess
None.
Impact on Consent and Moderation Requirements (CMR)
All new achievement standards have been registered on CMR 0233.
Impact on registered qualifications
None.
Impact of changes on Exclusions List
None.
Detailed list of achievement standards – classification, title, level, and credits
Interpretations
Sciences > Mathematics > Algebra
|
ID |
Ref |
Title |
Level |
Credits |
|
91573 |
Mathematics and Statistics 3.1 |
Apply the geometry of conic sections in solving problems Te whakamahi i ngā tikanga āhuahanga o te motunga koeko |
3 |
3 |
|
91574 |
Mathematics and Statistics 3.2 |
Apply linear programming methods in solving problems Te whakamahi tikanga mō te kauwhata whārite rārangi hei whakaoti rapanga |
3 |
3 |
|
91577 |
Mathematics and Statistics 3.5 |
Apply the algebra of complex numbers in solving problems Te whakamahi tikanga taurangi o ngā tau hiato hei whakaoti rapanga |
3 |
5 |
|
91587 |
Mathematics and Statistics 3.15 |
Apply systems of simultaneous equations in solving problems Te whakamahi whārite tukutahi mō ngā taurangi e toru hei whakaoti rapanga |
3 |
3 |
Sciences > Mathematics > Calculus
|
ID |
Ref |
Title |
Level |
Credits |
|
91578 |
Mathematics and Statistics 3.6 |
Apply differentiation methods in solving problems [Externally Assessed] Te whakamahi tikanga kimi pārōnaki hei whakaoti rapanga [Externally Assessed] |
3 |
6 |
|
91579 |
Mathematics and Statistics 3.7 |
Apply integration methods in solving problems [Externally Assessed] Te whakamahi tikanga kimi pāwhaitua hei whakaoti rapanga [Externally Assessed] |
3 |
6 |
Sciences > Mathematics > Geometry
|
ID |
Ref |
Title |
Level |
Credits |
|
91576 |
Mathematics and Statistics 3.4 |
Use critical path analysis in solving problems Te whakamahi tikanga kimi ara tino whaitake hei whakaoti rapanga |
3 |
2 |
Sciences > Mathematics > Trigonometry
|
ID |
Ref |
Title |
Level |
Credits |
|
91575 |
Mathematics and Statistics 3.3 |
Apply trigonometric methods in solving problems |
3 |
4 |
|
Te whakamahi tikanga pākoki hei whakaoti rapanga |
Sciences > Statistics and Probability > Probability
|
ID |
Ref |
Title |
Level |
Credits |
|
91585 |
Mathematics and Statistics 3.13 |
Apply probability concepts in solving problems [Externally Assessed] Te whakamahi huatau tūponotanga hei whakaoti rapanga [Externally Assessed] |
3 |
4 |
|
91586 |
Mathematics and Statistics 3.14 |
Apply probability distributions in solving problems [Externally Assessed] Te whakamahi tuari tūponotanga hei whakaoti rapanga [Externally Assessed] |
3 |
4 |
Sciences > Statistics and Probability > Statistics
|
ID |
Ref |
Title |
Level |
Credits |
|
91580 |
Mathematics and Statistics 3.8 |
Investigate time series data Te tūhura i te raraunga houanga |
3 |
4 |
|
91581 |
Mathematics and Statistics 3.9 |
Investigate bivariate measurement data Te tūhura i ngā taurangi matarua |
3 |
4 |
|
91582 |
Mathematics and Statistics 3.10 |
Use statistical methods to make a formal inference Te whakamahi tikanga tūhuratanga tauanga hei whakaputa hīkaro ōkawa |
3 |
4 |
|
91583 |
Mathematics and Statistics 3.11 |
Conduct an experiment to investigate a situation using experimental design principles Te whakahaere whakamātau tauanga hei tūhura āhuatanga mā te whakamahi tikanga e whai wāhi ai ngā haukume |
3 |
4 |
|
91584 |
Mathematics and Statistics 3.12 |
Evaluate statistically based reports [Externally Assessed] Te arotake i te pūrongo tauanga hei tātari i te whaihua o ngā whakapae [Externally Assessed] |
3 |
4 |
Development of Pāngarau Level 3 Achievement Standards
Process of aligning standards with Te Marautanga o Aotearoa
The process of aligning achievement standards with Te Marautanga o Aotearoa (TMoA) was informed by a series of audits across all learning areas conducted by Māori-medium subject specialists.
A panel of Pāngarau specialists working in wharekura was convened by the Ministry of Education to determine the extent to which the existing achievement standards met the whāinga paetae (achievement objectives) within the Pāngarau learning area of TMoA. Following this exercise, the panel noted the following:
· Levels 6, 7 and 8 of the Pāngarau learning area of TMoA align very closely with Mathematics and Statistics in the New Zealand Curriculum (NZC).
· The one significant point of difference between Pāngarau in TMoA and Mathematics and Statistics in the NZC are the whāinga paetae relating to the two cross strands ‘Te Reo Matatini o te Pāngarau’, which focuses on literacy in Pāngarau and ‘Te Whakamahinga o te Pāngarau’, which focuses on the use of Pāngarau.
· It is in the best interests of students in Māori-medium schooling studying Pāngarau at this level to have access to the full range of achievement standards offered in Mathematics and Statistics. This will ensure that senior students from wharekura are not disadvantaged if they wish to study Mathematics and Statistics at university level, or take courses which require a grounding in Mathematics and Statistics.
Accordingly, at Level 3, Mathematics and Statistics achievement standards 3.1–3.15 (91573–91587) were interpreted into te reo Māori, in line with the standard template for Māori-medium achievement standards.
Unique new Pāngarau achievement standards were developed at Levels 1 and 2 to reflect the cross strands Te Reo Matatini o te Pāngarau and Te Whakamahinga o te Pāngarau. However, it was not deemed necessary to continue development in these areas at Level 3.
Supporting documents were developed to assist in the interpretation of achievement standards and the development of teaching and learning programmes.
Addressing duplication
Issues of duplication for the Pāngarau standards 3.1–3.15 (91573–91587) were dealt with during the alignment of the Mathematics and Statistics standards with the NZC. The Mathematics and Statistics achievement standards have been revised to show that they align with the Pāngarau whāinga paetae within TMoA.
Addressing credit parity
The credits allocated to the standards reflect the time required for the teaching and learning involved. Issues of credit parity for the Pāngarau standards 3.1–3.15 (91573–91587) were dealt with during the alignment of these standards with the NZC.
External and internal assessment
The method of assessment for each standard best reflects the teaching and learning involved for each standard. Issues regarding the balance and appropriateness of internal and external assessment for standards 3.1–3.15 (91573–91587) were dealt with during the alignment of these standards with the NZC.
What has changed (summary)?
Mathematics and Statistics achievement standards aligned with outcomes from the New Zealand Curriculum (NZC) 3.1–3.15 (91573–91587) were re-interpreted in te reo Māori in line with the standard template for Māori-medium achievement standards.