Welcome to the Nayland College Mathematics Website

Website Update

We've had a massive update. Our apologies for taking down the old website without notice - we ran into some technical issues and didn't want to spend time fixing the old website.

Revisions of this new version of the website will continue - although it is taking more time than we would like. We are updating what we can when we can.

We are looking to build on the great work of Max Riley who built the original version of this site and shared lots and lots of his resources. Max has retired from teaching and enjoying his new adventures.

We would like to thank all of the great Mathematics educators out there who are also sharing their fantastic stuff. We've linked to what they have done where we think appropriate simply because we want to recognise their great work.

Level 1

Nayland College runs two different NCEA Level 1 courses.

Our 1A course is an academic course with a focus on linking algebraic ideas to applications. This course is intended for those who intend to continue studying Mathematics to Level 3. The course covers:

• 1.4 Linear Algebra
• 1.1 Physics (we borrowed a standard)
• 1.3 Tables, Equations and Graphs
• 1.11 Bivariate Data
• 1.12 Chance and Data

The outline for the year can be found here: 1A - 2021.pdf.

Our 1P course (formerly 1S) provides students with a general level of mathematics and can prepare them for continued study as far as Level 2. The emphasis is on practical applications. The course covers:

• 1.1 Number
• 1.13 Probability Simulations
• 1.11 Bivariate
• 1.1 Physics (we borrowed a standard)
• 1.5 Measurement

The outline for the year can be found here: 1P - 2021.pdf.

The ARA class provides an option for students who benefit from additional support. The course has a particular focus on practical mathematics. The course covers:

• Number
• Statistics
• Probability
• Measurement

The outline for the year can be found here: 1ARA - 2021.pdf.

Year 9

Nayland College is currently running the following topics in our Year 9 course:

• Number
• Algebra
• Geometry
• Chance and Data
• Measurement

We start each term off with about 4 weeks of Number (with abstraction to Algebra).

Our rough outline for the year can be found here (Year 9 - 2021.pdf).

Level 2

Nayland College runs three different NCEA Level 2 courses.

Our 2Alg course (formerly 2A) is an academic course and is predominantly algebra based but will also include calculus and graphs as well as some statistics and probability. This course is required to prepare students for the academic mathematics courses at Level 3. The course covers:

• 2.6 Algebra
• 2.2 Graphs
• 2.12 Probability
• 2.14 Simultaneous Equations
• 2.7 Calculus

The outline for the year can be found here: 2Alg - 2021.pdf.

Our 2Stats course focuses on the acquisition of practical statistical knowledge and skills. Students who are considering subjects such as Biology, Psychology or Geography will benefit from choosing this course. The course covers:

• 2.5 Networks
• 2.8 Questionnaires
• 2.10 Experiments
• 2.12 Probability
• 2.9 Inference
• 2.13 Simulations

The outline for the year can be found here: 2Sta - 2021.pdf.

Our 2G course (formerly 2S) is a fully internal course that focuses on a wide range of skills and applications. It may lead to mathematics at Level 3. This course covers:

• 2.5 Networks
• 2.4 Trig
• 2.1 Coordinate Geometry
• 2.9 Inference
• 2.10 Experiments
• 2.13 Simulations
• 2.3 Sequences and Series

The outline for the year can be found here: 2GMat - 2021.pdf.

Year 10

Nayland College is currently running the following topics in our Year 10 course:

• Number
• Geometry and Trigonometry
• Chance and Data
• Algebra
• Measurement

We start each term off with about 4 weeks of Number (with abstraction to Algebra)

Our rough outline for the year can be found here (Year 10 -2021.pdf).

Level 3

Nayland College runs three courses at Level 3, Calculus, Statistics and a General Mathematics course.

Our Level 3 Calculus course covers:

• 3.5 Complex Numbers
• 3.6 Differentiation
• 3.7 Integration
• 3.3 Trig
• 3.1 Conics

The outline for the year can be found here: 3Cal - 2021.pdf.

Our Level 3 Statistics course covers:

• 3.10 Inference
• 3.8 Time Series
• 3.13 Probability Concepts
• 3.14 Statistical Reports
• 3.9 Bivariate Data

The outline for the year can be found here: 3Sta - 2021.pdf.

Our Level 3 Mathematics course covers:

• 3.2 Linear Programming
• 3.11 Experiments
• 3.15 Simultaneous Equations
• 3.9 Bivariate Data
• 3.13 Probability Concepts
• 3.4 Critical Paths

The outline for the year can be found here: 3Mat - 2021.pdf.