ASHS Coursebook: 1MAS (Level 1 Mathematics with Statistics)

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Information icon.svg 1MAS
NCEA Level:
Primary Qualification:
Primary Learning Area:

What is this course about?

This course will provide students with the opportunity to achieve their NCEA numeracy and also develop their ability to use their maths, statistics and thinking skills to solve problems.  Hard consistent work will enable them to pursue either a mathematical or statistical curriculum in levels 2 and 3 or both pathways if they wish.

What will I learn?

This course will provide you with the algebra and modelling skills you will use to describe and solve problems in the physical world. It will also help you develop your understanding of statistics and probability so that you can recognise and account for the variation which occurs in nature and in human activities. Apart from developing your skills you will learn to be creative and effective in your problem solving and exploration of new ideas by:

  • understanding and analysing situations so you can determine when there is a problem to be solved or a prediction to be made;
  • understanding how mathematics and statistics work so you can choose and use the right tools at the right time;
  • describing situations with models and evaluating them so that you can understand their limitations and improve them when possible.

Students in our maths courses will:

  • be nurtured to develop a classroom culture where the value of hard work and diligence when approaching learning is recognised, through being willing to make mistakes and build their resilience when encountering challenges;
  • be inspired to see and appreciate the beauty in simplifying a problem into its key ideas and enjoy working through a mathematical process to gain deeper understanding of the problem or context;
  • be empowered to demonstrate creative thinking and communication skills in solving problems effectively and generalise to find powerful solutions to situations in the wider world;

in order to enjoy personal excellence and intellectual challenge in mathematics and statistics.

What sorts of things will I do?

You will:

  • carry out experiments and activities which will either help you understand concepts better or provide you an opportunity to solve practical problems
  • use your graphical calculators to investigate real world situations and understand how you can use mathematics to describe what you see
  • use computer software to investigate and compare variation in real life situations so that you can describe it and take it into account when making choices and decisions.

Course outline for 2017

Term 1 (11 weeks) Term 2 (10 weeks) Term 3 (10 weeks) Term 4 (4 weeks)
Introduction to course

Number and modelling

Exploring situations involving chance (start of unit)

Exploring chance and data

Linear patterns in tables, equations and graphs

Linear and exponential patterns in tables, equations & graphs


- Quadratic modelling in tables, equations & graphs

- Continued exploration of chance & data

Preliminary examinations

Revision for 1.1 and 1.2 (3 weeks)

Key Dates

91026 Number Assessment by 15 March

Key Dates

91038 Probability assessment by 5 May

91035 Multivariate data assessment by 13 June

Key Dates

91029 Linear algebra assessment by 28 July

91258 Sequences & series assessment by 18 August

Option for some to sit 91027 Algebraic Procedures MCAT, mid September

Chance & data students: 91036 Bivariate data assessment by 29 September

What standards can I enter?

The top part of this table (first 5 standards) shows the core course provided. At the end (last 4 standards) are listed alternatives which students can select in consultation with their parents, maths teachers and tutor teachers.

Summary of standards: 1MAS
NCEA Level Standard Number Name of standard Version Number Credits Assessment Assessment
Apply numeric reasoning in solving problems



Mid term 1
1 91038 Investigate a situation involving elements of chance
3 3


(N, L)

Start term 2
1 91035 Investigate a given multivariate data set using the statistical enquiry cycle 3 4


(N, L)

Mid term 2
1 91029 Apply linear algebra in solving problems 3 3



Start term 3
2 91258 Apply sequences and series in solving problems 3 2



Mid term 3
1 91028 Investigate relationships between tables equations and graphs 3 4



NZQATerm 4
Investigate bivariate numerical data using the statistical enquiry cycle


(N, L)

Early Term 4
Demonstrate understanding of chance and data




Term 4

Apply algebraic procedures in solving problems




Term 3

Total available credits: 16 (core)

+ 8 OR 7 depending on choices

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

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.

Frequently asked questions:

What learning paths will this course prepare me for?

This course will prepare you to study further at level 2 in the 2MAC - Mathematics with Calculus course, the 2MAS - Mathematics with Statistics course or both depending on how hard you work.

What calculator will I need?

Graphics calculators are required. The Casio FX9750GII is recommended.

This technology helps students investigate concepts and understand them better and once they have mastered their use speeds up their processing of information.  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. These are normally available for about $95 at the beginning of the year.

Are there any reassessments for internal standards?

Reassessments are usually offered in term 3 and 4. There will definitely be further opportunities for 91026 and 91029 with possibilities for 91035 and 91038 considered at the end of the year. There will be no further opportunities for 91036 or 91258.

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?

NO. You will be entered for all standards in the core 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. In Term 3, with teacher guidance, you will choose between an algebra and modelling track and a chance and data track, with different standards available for each of these.