Field Sciences
Review of Mathematics and Statistics and Probability unit standards
Subfield |
Domain |
ID |
Mathematics |
Algebra |
11102, 11106, 11107, 11108, 11112, 11117, 12337-12345 |
Calculus |
11104, 11105, 11109, 11110, 11111, 11113-11116 | |
Geometry |
5269 | |
Mathematical Studies |
7566 | |
Trigonometry |
11103 | |
Statistics and Probability |
Probability |
12347 |
Statistics |
5271, 7562, 11118, 11120-11130, 12335 |
NZQA National Qualifications Services has completed the review of the unit standards listed above.
Summary
The standards have had minimal usage since their registration.
There is no identified need to replace any of the standards in view of the current and future developments in the educational and vocational environments for the recognition for mathematical and statistical knowledge and skills.
Representatives from tertiary education organisations, industry, secondary schools, and the New Zealand Association of Mathematics Teachers recommended that these standards be designated expiring and not replaced due to very low and dwindling usage and the development of other assessment methods and tools for assessing mathematical knowledge and skills that are more applicable to workplace environments and candidates' needs.
Category D unit standards will expire at the end of December 2013
Impact on registered qualifications
Key to type of impact | |
Affected |
The qualification lists a reviewed classification (domain or subfield) in an elective set The qualification lists a standard that has changes to level or credits The qualification lists a C or D category standard |
Not materially affected |
The qualification lists a standard that has a new title The qualification lists a standard that has a new classification |
The following table identifies a qualification developed by another SSB that is impacted by the outcome of this review. The SSB has been advised that the qualification requires revision.
Ref |
Qualification Title |
Classification or ID |
SSB Name |
0453 |
National Diploma in Surveying (Level 6) with an optional strand in Mine Surveying |
5269, 11102, 11104,11105, 11106, 11107, 11109 |
InfraTrain New Zealand |
Detailed list of unit standards - classification, title, level, and credits
Key to review category | |
A |
Dates changed, but no other changes are made - the new version of the standard carries the same ID and a new version number |
B |
Changes made, but the overall outcome remains the same - the new version of the standard carries the same ID and a new version number |
C |
Major changes that necessitate the registration of a replacement standard with a new ID |
D |
Standard will expire and not be replaced |
Sciences > Mathematics > Algebra
ID |
Title |
Level |
Credit |
Review Category |
11102 |
Use algebraic formulae, equations and graphs to solve problems |
4 |
3 |
D |
11106 |
Use the properties of vectors to solve physical problems |
5 |
2 |
D |
11107 |
Use determinants and matrices to solve problems that can be modelled by systems of linear equations |
5 |
2 |
D |
11108 |
Use the graphs and properties of hyperbolic functions to solve problems |
5 |
1 |
D |
11112 |
Use functions of complex variables to solve problems |
6 |
2 |
D |
11117 |
Use financial mathematical methods to solve problems |
5 |
2 |
D |
12337 |
Demonstrate understanding of function properties and apply them to sinusoids and other wave forms |
5 |
2 |
D |
12338 |
Use power series, hyperbolic functions and functions of a complex variable to solve problems |
6 |
4 |
D |
12339 |
Use complex algebra to solve problems in ac circuits |
5 |
3 |
D |
12340 |
Analyse electrical networks using matrix algebra |
5 |
4 |
D |
12341 |
Graph functions using two dimensional polar coordinates and use three dimensional coordinate systems |
5 |
1 |
D |
12342 |
Find continuous and discrete Fourier transforms for simple functions and interpret the result |
6 |
3 |
D |
12343 |
Model simple circuits as differential equations, solve and interpret the solutions |
6 |
5 |
D |
12344 |
Use Boolean algebra to set up, simplify and interpret logical expressions |
4 |
3 |
D |
12345 |
Apply mathematical methods to an application of electrical engineering |
6 |
2 |
D |
Sciences > Mathematics > Calculus
ID |
Title |
Level |
Credit |
Review Category |
11104 |
Use integration techniques to model and solve problems |
4 |
3 |
D |
11105 |
Use differential equations to model, solve and interpret physical situations |
4 |
3 |
D |
11109 |
Represent functions by power series to solve problems |
5 |
2 |
D |
11110 |
Use methods of multivariate calculus to solve problems involving functions of up to three variables |
6 |
3 |
D |
11111 |
Solve problems using further methods of integration |
6 |
3 |
D |
11113 |
Use first and second order differential equations to solve problems |
6 |
2 |
D |
11114 |
Use Laplace transform methods to solve differential equations |
6 |
2 |
D |
11115 |
Find Fourier series for periodic functions and discuss applications |
6 |
2 |
D |
11116 |
Find Fourier transforms for non-periodic functions |
6 |
1 |
D |
Sciences > Mathematics > Geometry
ID |
Title |
Level |
Credit |
Review Category |
5269 |
Apply mathematics to conic sections and other curves |
4 |
4 |
D |
Sciences > Mathematics > Mathematical Studies
ID |
Title |
Level |
Credit |
Review Category |
7566 |
Carry out a mathematical research project |
4 |
3 |
D |
Sciences > Mathematics > Trigonometry
ID |
Title |
Level |
Credit |
Review Category |
11103 |
Use graphs of trigonometric functions and trigonometric equations to solve problems |
4 |
2 |
D |
Sciences > Statistics and Probability > Probability
ID |
Title |
Level |
Credit |
Review Category |
12347 |
Use the Gaussian probability density function in noise analysis |
6 |
2 |
D |
Sciences > Statistics and Probability > Statistics
ID |
Title |
Level |
Credit |
Review Category |
5271 |
Identify features of, and evaluate, statistical reports |
4 |
2 |
D |
7562 |
Carry out a statistical research project |
4 |
3 |
D |
11118 |
Apply basic principles of experimental design for experiments which involve statistical analysis |
4 |
3 |
D |
11120 |
Investigate and report on relationships between pairs of categorical variables |
5 |
3 |
D |
11121 |
Use Exploratory Data Analysis on data sets with several variables |
5 |
3 |
D |
11122 |
Explain sampling distributions and estimate population parameters from large simple random samples |
4 |
3 |
D |
11123 |
Make point estimates from population parameters using small samples and find confidence intervals |
4 |
3 |
D |
11124 |
Carry out hypothesis tests on single variables and on comparisons of two variables |
5 |
3 |
D |
11125 |
Carry out non-parametric hypothesis tests |
5 |
2 |
D |
11126 |
Design and report on a survey which uses simple random sampling methods |
5 |
3 |
D |
11127 |
Design simple, stratified and cluster sampling schemes to form estimates of population parameters |
5 |
3 |
D |
11128 |
Explore time series for trend, and, seasonal and residual variation |
5 |
3 |
D |
11129 |
Calculate, use and interpret index numbers |
5 |
3 |
D |
11130 |
Use statistical quality assurance techniques in given situations |
5 |
3 |
D |
12335 |
Use hypothesis testing on means or proportions and draw conclusions |
4 |
3 |
D |