ASHS Coursebook: 3MAS (Level 3 Mathematics with Statistics)

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Information icon.svg 3MAS
NCEA Level:
Primary Qualification:
Primary Learning Area:

What is this course about?

This course is intended for those students who have successfully completed an NCEA level 2 course or equivalent and are wanting to focus on statistics and probability.

It will prepare students for first year university courses in statistics, biology, biochemistry, commerce, health sciences and other life sciences.

The course will provide a basis for study towards the statistics scholarship exams should students wish to enter.

It is recommended that students should have strong statistical literacy and report writing skills and have passed NCEA achievement standards 91264 and 91267 before entering this course. Those who have not will need to show considerable commitment and seek additional support if they wish to achieve well in this course.

What will I learn?

You will learn:

  • to combine your mathematical and statistical skills to model real life situations and make predictions about what is likely to happen in different situations using time series, multivariate and bivariate data
  • about the properties of probability distributions such as normal, poisson and binomial
  • to use your understanding of probability and chance to predict the chances of various outcomes in real life situations
  • to use linear programming to solve problems involving the optimisation of the use of resources which are of value in ALL industries when they have to make choices about operations, projects and investments

What sorts of things will I do?

You'll use software to model real world situations, explore statistical populations and carry out simulations.

Experiments may be used to illustrate theoretical concepts and to collect data for you to use when practising your modelling skills.

What standards can I enter?

This table summarises the standard course provided.

NCEA Level Standard Number Name of Standard Version Number Credits Assessment Approximate Assessment Date
3 91582 Use statistical methods to make a formal inference 2 4 Internal (N, L) Term 1, Week 5 - 7
3 91574 Apply linear programming methods in solving problems 2 3 Internal (N) Term 1, Week 9
3 91580 Investigate times series data 2 4 Internal (N, L) Term 2, Week 4 - 6
3 91581 Investigate bivariate measurement data 2 4 Internal (N, L) Term 3, Week 4 - 6
3 91585 Apply probability concepts in solving problems 2 4 External (N) NZQA
3 91586 Apply probability distributions in solving problems 2 4 External (N) NZQA
Total credits available 23

The code letters under Assessment have the following meanings:

  • N - L1 and UE numeracy
  • L - L1 literacy
  • R - UE reading literacy                    
  • W - UE writing literacy

Please check the actual date of the assessment on the ASHS Assessment Calendar

NB. University Entrance can be gained through any combination of 14 credits from this table. If your 14 credits includes AS91574 you will gain University Entrance in Mathematics. If your 14 credits does not include AS91574 you will gain University Entrance in Statistics.

Vocational Pathways provide a framework for students to show how their learning and achievement is valued in the workplace by aligning learning to the skills needed for industry.  Follow this link to see the profile for this course.

Scholarship opportunities

Students who excel at statistics and probability should be encouraged to speak to their teacher early in the year about entering the scholarship exams. They will be provided with resources, direction and support but, to have a chance of achieving well, will need to be committed:

  • extensive self directed study and practice,
  • participation in a student work group on a regular basis throughout the year, and
  • attend the workshops given by teachers to cover areas of the curriculum not covered by the 3MAS course.

Frequently asked questions:

What calculator will I need? 

  • Graphics calculators are required - the Casio FX9750GII is highly recommended. 
  • Students using only a basic scientific calculator will be significantly disadvantaged since NZQA assumes that all students have access to graphics calculators. 
  • Costs: Casio FX9750GII are normally available for about $95 at the beginning of the year.

Are there any reassessments for internal standards?

Reassessments will be offered in term 3 and 4. Due to the investigative nature of the assessments only 91580 and 91582 will be offered. There will be a further opportunity for 91574 when the 3MAC course completes this standard. There will be no further opportunity for 91581.

What happens if I miss an internal assessment? 

  • You must submit a "Missed Assessment" form and get it approved by the specialist subject leader.
  • Approval will only be given if the requirements of the missed assessment policy are met, it is practical for the assessment to be done at another time and that other time is before the final grades are returned to students. 
  • If you do not sit an assessment you will automatically receive a "Not Achieved" grade as per NZQA rules.

Do I have to do all the standards in the course? 

  • YES. You will be entered for all standards in the course and are expected to give your best effort in all of them. The only exceptions will where an individual learning plan is approved by the specialist subject leader after consultation with your parents, tutor and student services. 
  • This will only be approved where students have attempted the external topics and find them too difficult, in which case alternative internal standards may be included in their curriculum where able. 
  • Students and parents must ensure that the individualised learning plan will still meet the entry requirements for tertiary study. Some courses specify 14 credits from Calculus or Mathematics as a prerequisite for entry. This may not be achieved in a reduced individualised plan.