Year 13 MATHEMATICS

If you are interested in pursuing a career in Computer Science,Operation Research, Applied Mathematics or Commerce. This course is for you. It is a composite course of applied mathematics standards (Networks, Equations and Linear Programming) and Statistics standards (Formal Inferences, Probability Distributions and Experimental Design).

Note: You cannot take this course with the NCEA Level 3 Statistics course as there is too much overlap with the standards assessed.

This course covers the following topics: 

• Linear programming

• Trigonometry

• Critical path analysis

• Experiment

• Probability Distribution

• Systems of Simultaneous Equations

In this course, you will: 

1. Investigate situations that involve elements of chance  

• calculating and interpreting expected values and standard deviations of discrete random variables  

• applying distributions such as the Poisson, binomial, and normal 

2. Carry out investigations of phenomena, using the statistical enquiry cycle:  

• conducting experiments using experimental design principles  seeking explanations  

• using informed contextual knowledge, exploratory data analysis, and statistical inference 

• communicating findings and evaluating all stages of the cycle  

3. Make inferences from surveys and experiments:  

• using methods such as randomisation to assess the strength of the evidence 

4. Use linear programming techniques 

5. Form and use systems of simultaneous equations, including three linear equations and three variables, and interpret the solutions in context 

6. Develop network diagrams to find optimal solutions, including critical paths 

This course is recommended if you gain 10 credits in Mathematics at Level 2 (12MAC, 12MAS, 12MCA, 12MAI or 12MAP).

Entry into the course is subject to HOD approval.

Assessment

This course offers four NCEA Level 3 achievement standards. One standard is externally assessed and three standards are assessed internally. 

The following standards may be offered and assessed:

• 91574 v2 (3.2) Apply linear programming methods in solving problems

• 91575 v2 (3.3) Apply trigonometric methods in solving problems

• 91576 v2 (3.4) Use critical path analysis in solving problems

• 91583 v2 (3.11) Conduct an experiment to investigate a situation using experimental design principles

• 91586 v2 (3.14) Apply probability distributions in solving problems

• 91587 v2 (3.15) Apply systems of simultaneous equations in solving problems

Note: A casio fx–9750GII graphics calculator is compulsory for this course.

Qualifications: Credits towards NCEA Level 3.

NZQA Mathematics Subject Resources

http://www.nzqa.govt.nz/qualifications-standards/qualifications/ncea/subjects/mathematics/levels 

School Policy for NCEA Assessment

You should be aware of the school procedures for NCEA assessment.  They can be found on the school website at this link. There you will find answers to frequently asked questions about how NCEA works as well as guidance about how to apply for extensions, reconsiderations or the process for withdrawing from a standard.