Mathematics

Kei hopu tōu ringa ki te aka tāepa, engari kia mau ki te aka matua.
Cling to the main vine, not the loose one.

“Mathematics has beauty and romance. It’s not a boring place to be, the mathematical world. It’s an extraordinary place; it’s worth spending time there.” Marcus du Sautoy

At Mount Roskill Grammar School, the Mathematics department seek to train young minds to explore and better understand their world through thinking, creativity, logic, and considering patterns. Mathematics is the language that undergirds so many modern disciplines and makes innovation and exploration possible.

We place a high value on collaborative learning, thinking, perseverance, and recognising relationships, believing that with practice, all of us can become better Mathematicians.

To this end, students continue to study Mathematics and Statistics through a variety of pathways. To achieve equitable access and support student agency, all students are encouraged to embed the use of technology as they explore the mathematical world. Teachers actively share their teaching and learning ideas and activities using collaborative on-line spaces and learning platforms for mathematics and statistics. Students are also encouraged to participate in competitive, fun, and challenging activities as individuals and in groups.

At Roskill, Mathematics is a place worth spending time in.

HOD Mathematics – Sophie Wright

Qualifications: I studied Computer Science and Mathematics at McMaster University in Ontario and then several years later completed a Graduate Diploma in Secondary Teaching at Massey University in Albany. B.Sc Computer Science, McMaster University, Ontario, Canada. GradDipTch(Sec), Massey University

Experience: After university, I worked in Computer Software Systems in Canada and New Zealand before taking a few years off to raise my children. Once my children were in school, I completed my studies in secondary teaching and have spent the last 20 years teaching Mathematics. I spent 10 years teaching at a North Shore school before coming to Mount Roskill Grammar School. I have been HOD Mathematics since 2015. I have been a Senior Curriculum Tutor for AUT College of Education, and presented Statistics, e-Learning and Data workshops at National Conferences.

Why I teach my subject: I love the thinking and the problem-solving challenges associated with Mathematics and Statistics. Helping students to increase their confidence and skills to understand the world around them is hugely satisfying for me.

Why I teach at MRGS: At MRGS, I have the opportunity to work with a dedicated team of professionals who love to teach mathematics and are constantly learning and sharing. Together with students, we are able to try new things, share ideas, and engage with a variety of strategies and technologies to explore Mathematical and Statistical ideas.

MRGS is also a great place for teachers to get involved in whatever interests them. I have really enjoyed ongoing learning participating in e-Learning teams, Data teams, and curriculum innovation groups.

Sophie Wright – HOD Mathematics
Laura Hunte – Teacher in charge Junior Mathematics, Across School Community of Learning Teacher
Rajneel Singh – Teacher in charge Year 12 Mathematics
Vasu Subramoney – Teacher in charge Year 13 Mathematics
James Lowe – Teacher, Sheppard House Associate Dean
Rowan Johanson – Teacher, Deputy Principal
Nandita Katira – Teacher, SENCO, Enrolment Officer
John Coker – Teacher, Rutherford House Academic Dean
Anzar Chida – Teacher
Aileen Chen – Teacher

Tyler Benson – Teacher
Jim Green – Teacher
Pinglan Hu
– Teacher
Letisiola Lynch – Teacher
Sailesh Morarji – Teacher
Kailash Ranchhodji – Teacher
Rees Skiff – Teacher
Premila Tularam – Teacher
Hwasung Yang – Teacher
Donna Fraser – Teacher

Courses and Pathways

Year 9 & 10 Mathematics

Entry Requirements:

N/A

Junior Diploma Credits:

9MAT 18 Credits
10MAT 24 credits

BYOD Recommendations:

An internet and word-processing capable device, such as a Chromebook or better. We recommend the device has an external keyboard and at least a 10 inch screen.

Who is this course for?

This is a core class subject that prepares students for Level 1 Mathematics and Statistics.

The Year 9 course is based on Level 4 of Mathematics and Statistics in the New Zealand Curriculum. It builds on work done in Mathematics at primary and intermediate school and provides the basic mathematical grounding for study at Year 10.

The Year 10 course is based on Level 5 of Mathematics and Statistics in the New Zealand Curriculum. It builds on work done in Mathematics at Year 9 and provides the mathematical grounding for study at Level 1.

Year 11 Academic Mathematics

Entry Requirements:

Year 10 Mathematics achievement with most papers at Merit and Excellence – teacher referral.

Credits:

22 Credits at Level 1

BYOD Recommendations:

Laptop or Chromebook

Who is this course for?

Academic Mathematics Level 1. Students consistently operating at or above NZ Curriculum Level 5 Mathematics. A particular emphasis will be for students to develop independent investigation and reporting skills in areas of Mathematics.

Achievement Standards:

AS 91026 1.1 Apply numeric reasoning in solving problems INT
AS 91027 1.2 Apply algebraic procedures in solving problems EXT (MCAT)
AS 91028 1.3 Investigate relationships between tables, equations and graphs EXT
AS 91029 1.4 Apply linear algebra in solving problems INT
AS 91031 1.6 Apply geometric reasoning in solving problems EXT
AS 91037 1.12 Demonstrate understanding of chance and data EXT

Year 11 Mathematics 11MAT1

Entry Requirements:

Year 10 Mathematics achievement or higher in all papers – teacher referral.

Credits:

21 Credits at Level 1

BYOD Recommendations:

Laptop or Chromebook

Who is this course for?

Mathematics Level for students operating at NZ Curriculum Levels 4 and 5 Mathematics. Further grounding will be provided in Number, Algebra and Geometry before proceeding to the more academic Achievement Standards.

Achievement Standards:

AS 91026 1.1 Apply numeric reasoning in solving problems INT
AS 91027 1.2 Apply algebraic procedures in solving problems EXT (MCAT)
AS 91028 1.3 Investigate relationships between tables, equations and graphs EXT
AS 91029 1.4 Apply linear algebra in solving problems INT
AS 91032 1.7 Apply right-angled triangles in solving measurement problems INT
AS 91038 1.13 Investigate a situation involving elements of chance INT

Year 11 Core Mathematics

Entry Requirements:

N/A

Credits:

16 + 10 Credits at Level 1

BYOD Recommendations:

Laptop or Chromebook

Who is this course for?

Core Mathematics Level 1 for students consistently operating below NZ Curriculum Level 5 Mathematics in Year 10. The focus will be on gaining a basic understanding of mathematical skills and applications

Achievement Standards:

AS 91026 1.1 Apply numeric reasoning in solving problems INT
AS 91029 1.4 Apply linear algebra in solving problems INT
AS 91032 1.7 Apply geometric reasoning in solving problems INT
AS 91036 1.11 Investigate bivariate numerical data using the statistical enquiry cycle INT
AS 91038 1.13 Investigate a situation involving elements of chance INT
Level 1 US 26623 Number Numeracy Unit Standard INT
Level 1 US 26627 Measurement Numeracy Unit Standard INT
Level 1 US 26626 Statistics Numeracy Unit Standard INT

Year 12 Academic Mathematics

Entry Requirements:

More than 10 credits gained at Level 1 MathematicAND Merit or better in AS91027 Algebra AND Achieved or better in either AS91028 Tables/Equations and Graphs or AS91031 Geometry

Credits:

23 Credits at Level 2

BYOD Recommendations:

Laptop or Chromebook

Who is this course for?

Level 2 Academic Mathematics for students consistently operating at or above NZ Curriculum Level Mathematics. Higher level algebraic and graph ical techniques are introduced and developed into deepeunderstandings of Statistical and Mathematical Concepts

Achievement Standards:

AS 91257 2.2 Apply graphical methods in solving problems INT
AS 91261 2.6 Apply algebraic methods in solving problems EXT
AS 91262 2.7 Apply calculus methods in solving problems EXT
AS 91264 2.9 Use statisticamethods to make an inference INT
AS 91267 2.12 Apply probability methods in solving problems EXT
AS 91269 2.14 Apply systems of equations in solving problems INT

Year 12 Mathematics 12MAT2C

Entry Requirements:

More than 10 credits gained at Level Mathematics AND more than four credits gained in AS91027 Algebra or AS91028 Tables/Equations and Graphs or AS91031 Geometry

Credits:

19 Credits at Level 2

BYOD Recommendations:

Laptop or Chromebook

Who is this course for?

Level 2 Mathematics for students operating at NZ Curriculum Levels 5 and 6 Mathematics. Grounding will be provided in Algebra and Graphs as well as the introduction of Coordinate Geometry and Calculus.

Achievement Standards:

AS 91257 2.2 Apply graphical methods In solving problems INT
AS 91262 2.7 Apply calculus methods in solving problems EXT
AS 91264 2.9 Use statistical methods to make an inference INT
AS 91267 2.12 Apply probability methods in solving problems EXT
AS 91269 2.14 Apply systems of equations in solving problems INT

Year 12 Core Mathematics

Entry Requirements:

More than 10 credits at Level 1 in Mathematics

Credits:

15 Credits at Level 2

BYOD Recommendations:

Laptop or Chromebook

Who is this course for?

This course is for students who have had difficulty achieving at Level 1 Mathematics but wish to continue witMathematics. This course provides a path way towards Year 13 Level 2/3 Mathematics allowing up to 16 further Level 2/3 credits.

Achievement Standards:

AS 91256 2.1 Apply coordinate geometry methods in solving problems INT
AS 91257 2.2 Apply graphical methods in solving problems INT
AS 91259 2.4 Apply trigonometric relationships in solving problems INT
AS 91260 2.5 Apply networks in solving problems INT
AS 91268 2.13 Investigate a situation involving elements of chance using a simulation INT
AS 91269 2.14 Systems oEquations INT

Year 13 Calculus 13MAT3

Entry Requirements:

More than 12 credits gained in NCEA Level Mathematics and Statistics AND Merit or better in AS91261 Algebra or AS91262 Calculus

Credits:

24 Credits at Level 3

BYOD Recommendations:

Laptop or Chromebook

Who is this course for?

Mathematics with Calculus for students with an excellent grasp of Algebra, Graphing techniques, Calculus and Trigonometry. Calculus is a prerequisite for tertiary mathematics courses and many physical sciencesengineering and economics courses (particularly finance).

Achievement Standards:

AS 91574 3.2 Apply linear programming methods in solving problems INT
AS 91575 3.3 Apply trigonometric methods in solving problems INT
AS 91577 3.5 Apply the algebra of complex numbers in solving problems EXT
AS 91578 3.6 Apply differentiation methods in solving problems EXT
AS 91579 3.7 Apply integration methods in solving problems EXT

Year 13 Statistics 13MAS3

Entry Requirements:

More than 10 credits gained in NCEA Level Mathematics and Statistics AND Merit or better iAS91267 Probability or AS91264 Inferences

Credits:

23 Credits at Level 3

BYOD Recommendations:

Laptop or Chromebook

Who is this course for?

Mathematics with Statistics. An academically demanding course for students with a good understanding oLevel 2 Statistics, Probability and Graphs. Statistics is studied by two thirds of University of Auckland undergraduate students so is beneficial to almost all disciplines. This course is particularly useful to any students wishing to study the biological or physical sciences, medicine and commerce.

Achievement Standards:

AS 91580 3.8 Investigate Time Series data INT
AS 91581 3.9 Investigate bivariate measurement data INT
AS 91582 3.10 Use statistical methods to make a formal inference INT
AS 91585 3.13 Apply probability concepts in solving problems EXT
AS 91586 3.14 Apply probability distributions in solving problems EXT
AS 91587 3.15 Apply systems of simultaneous equations in solving problems INT

Year 13 Mathematics 13MAT3

Entry Requirements:

More than 10 credits gained in NCEA level 2 Mathematics and Statistics AND Achieved or better in AS91269 Equations or AS91262 Calculus.

Credits:

20 Credits at Level 3

BYOD Recommendations:

Laptop or Chromebook

Who is this course for?

Level 3 General Mathematics. A University approved course for students with a good understanding of Level 2 Mathematics and Statistics which will give a good grounding across level 3 Mathematics and Statistics concepts.

Achievement Standards:

AS 91574 3.2 Apply linear programming methods in solving problems INT
AS 91575 3.3 Apply trigonometric methods in solving problems INT
AS 91576 3.4 Use critical path analysis in solving problems INT
AS 91581 3.9 Investigate bivariate measurement data INT
AS 91584 3.12 Evaluate Statistical based reports EXT
AS 91587 3.15 Apply systems of simultaneous equations in solving problems INT

Year 13 Core Mathematics 13MAT3C

Entry Requirements:

More than 8 credits gained in NCEA Level 2 Mathematics and Statistics AND Achieved or better in Level 1 Algebra AS 91027 or Level Equations AS 91269

Credits:

19 Credits at Level 3

BYOD Recommendations:

Laptop or Chromebook

Who is this course for?

This course is for students who have had achieved some Level 2 Mathematics and wish to continue witMathematics. Provides further Level 2 Mathematics required for many Polytechnic courses, apprenticeshitraining and service tests. Also there is an opportunity to gain Level 3 Mathematics and Statistics standards.

Achievement Standards:

AS 91574 3.2 Apply linear programming methods in solving problems INT
AS 91576 3.4 Use critical path analysis in solving problems INT
AS 91580 3.8 Investigate Time Series data INT
AS 91581 3.9 Investigate bivariatmeasurement data INT
AS 91587 3.15 Apply systems of simultaneous equations in solving problems INT
US 28099 Analyse credit options and select strategies to manage personal finances INT

Huthaifa Ibrahim, Graduating 2020

Subject I have taken: I am studying Mathematics.

Why I am studying this subject: Maths is a key subject that transfers skills and understanding into many other areas. I want to study Medicine at Auckland University and so Maths is a foundation for my future career.

What this subject offers me: Maths lets me expand the skills I have in areas such as problem solving and inferencing, and the Math department has offered me the opportunity to study mathematics a year ahead of my year level. This helps me have more time to cover the different aspects of math in NCEA and the ease of doing Level 3 Calculus and Level 3 Statistics in different years. I enjoy the extra options and the vast amount of competitions like Mathex in my junior years, the Australian Mathematics Competition (AMC), and ICAS. The school also offers extra homework centres which I also find extra helpful for revision.

Why I love this subject: The reason I love math is simply because of how much I have been able to learn and move towards my potential. Studying Math means I have a place where I can enjoy the puzzles and problem solving with other students, and also utilise the teachers’ help to the fullest extent. This helps me succeed in the tasks placed in front of me, and that factor makes Maths all the more fun to study.