Mathematics and Statistics

HOF: Mr G Atkinson

In mathematics and statistics students explore relationships in quantities, space and data. They are equipped with
effective means for investigating, interpreting, explaining and making sense of the world in which they live. Students
will use symbols, graphs and diagrams to help them find and communicate patterns and relationships, and will create models to represent a wide range of real-life and hypothetical situations.


Year 9 and 10 Mathematics (9MAT and 10MAT)                     TIC: Mrs K Smith

In year 9 and 10 mathematics students cover a general course which focuses on the three curriculum strands of
number and algebra, geometry and measurement, and statistics.
The course is covered in four periods over each 5 day week.
Assessment is by common tests covering specific areas of the strands throughout the year. Students will also have a
mathematics examination at the end of each year.


Year 10 Mathematics 10MAT

Number
Name of standard Literacy/Numeracy Credits
Assessment
AS91026 Apply numeric reasoning in solving problems N 4 Internal
AS91033 Apply knowledge of geometric representations in solving problems N 3 Internal

 


Level 1 Mathematics (11MAT and 10MAX)                     TIC: Mr G Atkinson

This course is designed for the majority of students. It is intended for students working towards level 2 or 3
mathematics.

Number
Name of standard Literacy/Numeracy Credits
Assessment
AS91027 Apply algebraic methods in solving problems N 4 External
AS91028 Investigate relationships between tables, equations and graphs N 4 External
AS91032 Apply right angled triangles in solving measurement problems N 3 Internal
AS91035 Investigate a given multivariate data set using the statistical enquiry cycle L/N 3 Internal
AS91037 Demonstrate understanding of chance and data N 4 External
AS91030 Apply measurement in solving problems N 3 Internal




You will learn to:
• manipulate straightforward algebraic expressions, solve linear and quadratic equations, and recognise and produce linear and quadratic graphs to solve problems in a variety of contexts
• use measurement, trigonometry, Pythagoras and other geometric rules in a range of problems
• use statistics and probability to explore data and deal with uncertainty and variation in a wide range of contexts
• use appropriate technology to help solve problems in a variety of contexts

Entry Guidelines: students will be directed into the appropriate course depending on their achievement in Year 10.
Course cost: maths work book $30
There is an opportunity for students to take an extra standard studied in their own time.


Level 1 Mathematics (11MAI)                     TIC: Mr G Atkinson
This course is mostly internally assessed. It will allow limited progress into level 2 and level 3 mathematics with statistics. Students enrolling in this course are not eligible to enrol in 12MAT in 2013

Number
Name of standard Literacy/Numeracy Credits
Assessment
AS91026 Apply numeric reasoning in solving problems N 4 Internal
AS91029 Apply linear algebra in solving problems N 3 Internal
AS91030 Apply measurement in solving problems N 3 Internal
AS91032 Apply right angled triangles in solving measurement problems N 3 Internal
AS91034 Apply transformation geometry in solving problems N 2 Internal
AS91035 Investigate a given multivariate data set using the statistical enquiry cycle L/N 3 Internal
AS91037 Demonstrate understanding of chance and data N 4 External






You will learn to:
• manipulate straightforward algebraic expressions and solve simple linear equations
• use number knowledge and operations to solve simple problems in a variety of contexts
• use measurement, trigonometry and pythagoras in a range of problems
• use statistics and deal with uncertainty and variation in a wide range of contexts
• use appropriate technology to help solve problems in a variety of context

Entry Guidelines: students will be directed into the appropriate course depending on their achievement in Year 10
Course cost: maths work book $30


Level 1 Mathematics (11MAU)                     TIC: Mr G Atkinson
This course is designed for students who are aiming to gain numeracy for level 1. This course will not be suitable
for students who want to study mathematics at level 2 or level 3. Students enrolling in this course are not eligible
to enrol in 12MAT or 12MAI in 2013

Number
Name of standard Literacy/Numeracy Credits
Assessment
AS91026 Apply numeric reasoning in solving problems N 4 Internal
AS91029 Apply linear algebra in solving problems N 3 Internal
AS91030 Apply measurement in solving problems N 3 Internal
AS91032 Apply right angled triangles in solving measurement problems N 3 Internal
AS91035 Investigate a given multivarate data set using the statistical enquiry cycle L/N 3 Internal



These students will have the opportunity to obtain 10 credits from level 1 unit standards.

You will learn to:
• manipulate straightforward algebraic expressions and solve simple linear equations
• use number knowledge and operations to solve problems in a variety of contexts
• use measurement, trigonometry and Pythagoras in a range of problems
• use statistics to explore data and variation in a wide range of contexts
• use appropriate technology to help solve problems in a variety of contexts

Course cost: maths work book $30


Level 2 Mathematics (12MAT)                     TIC: Mr S Shaw
This course is designed for the majority of students. It is intended for students working towards level 3
mathematics.

Number
Name of standard Credits
Assessment
AS2.2 Apply graphical models in solving problems 4 Internal
AS2.6 Apply algebraic methods in solving problems 5 External
AS2.7 Apply calculus method in solving problems 5 External
AS2.12 Apply probability methods in solving problems 4 External
AS2.13 Investigate a situation using a simulation 2 Internal





You will learn to:
• choose and use algebraic methods and strategies, and solve algebraic and trigonometric equations to investigate and solve problems in a variety of contexts
• recognise and draw non-linear graphs and use them to solve problems or model situations in real life contexts
• simulate a problem involving probability and draw conclusions
• use probability methods and normal distribution to solve problems

Prerequisites: students must have gained achieved or better in AS91027 algebra; AS91028 graphs and 1 other
standard or at the discretion of the head of faculty.
Course cost: maths work book $30

Due to changes currently being made to level 2 standards by NZQA, there may be some minor changes to this course in 2013.


Level 2 Mathematics with Unit Standards (12MAI)                     TIC: Mr S Shaw
This course is designed for some students and will allow limited progress into level 3 mathematics with statistics.
Students enrolling in this course are not eligible to enroll in 13MAC in 2013.

Number
Name of standard Credits
Assessment
AS2.5 Use networks in solving problems 2 Internal
AS2.7 Apply calculus method in solving problems 5 External
AS2.8 Design a questionnaire 3 Internal
AS2.9 Use statistical methods to make an inference 4 Internal
AS2.12 Apply probability methods in solving problems 4 External
AS2.13 Investigate a situation using a simulating 2 Internal




You will learn to:
• Choose and use algebraic methods and strategies to investigate and solve problems in a variety of contexts
• Use mathematics techniques to find the best solutions to project management problems
• Simulate problems involving probability and draw conclusions
• Use probability methods and normal distribution to solve problems
• Use statistical methods to collect data, analyse the results and draw conclusions about the population.

Prerequisites: students must have gained achieved or better in AS91030 multi-variate stats and 2 other standards,
or at the discretion of the head of faculty.
Course cost: maths work book $30

Due to changes currently being made to level 2 standards by NZQA, there may be some minor changes to this course
in 2012.


Level 2 Mathematics with Unit Standards (12MAU)                    Mr G Atkinson
This course is designed for students who have yet to pass level 1 mathematics. Students will be invited into this
course and the programme will reflect the needs of individual students. Students will sit mostly level 1 standards.


Level 3 Calculus (13MAC)                     TIC: Mr T Issac

Number
Name of standard Credits
Assessment
AS90635 Differentiate functions and use derivatives to solve problems 6 External
AS90636 Integrate functions and solve problems by integration, differential equations or numerical methods 6 External
AS90637 Solve problems and equations involving trigonometric functions 4 Internal
AS90638 Manipulate real and complex numbers and solve equations 5 External
AS90639 Sketch graphs and find equations of conic sections 3 External





Some students may also have the opportunity to obtain a maximum of 9 credits from level 3 calculus unit standards.

You will learn to:
• manipulate real and complex numbers, and solve equations
• solve problems using trigonometric functions to model situations and solve trigonometric equations
• differentiate and integrate functions and use derivatives and integrals to solve problems
• sketch graphs of conic sections and write equations related to conic sections
• use appropriate technology to help solve problems

Prerequisites: students must have gained merit or better in AS2.6 algebra and achieved or better in AS2.2 nonlinear
graphs; and AS2.7 calculus, or be at the discretion of the head of faculty
Course cost: maths work book $30


Level 3 Statistics and Modelling (13MAS)                     TIC: Mrs K Albertson

Number
Name of standard Credits
Assessment
AS90641 Determine the trend for time series data 3 Internal
AS90642 Calculate confidence intervals for population parameters 3 External
AS90643 Solve straightforward problems involving probability 4 External
AS90644 Solve equations 4 External
AS90645 Complete a statistical investigation involving bi-variate data 3 Internal
AS90646 Use probability distribution models to solve straightforward problems 4 External
AS90647 Use a mathematical model involving curve fitting to solve a problem 3 Internal







You will learn to:
• determine the trend for time series, analyse the data to make a forecast and consider the validity of the analysis and forecast
• using probability and probability distributions to solve straightforward problems
• calculate confidence intervals for various parameters and understand the theory behind confidence intervals
• solve 3x3 simultaneous equations algebraically and interpret the solution
• solve complex equations using numerical methods and use linear programming methods
• analyse bi-variate data and consider the validity of the analysis

Prerequisites: students must have gained achieved or better in AS2.12 probability and one other mathematics
achievement standard or at the discretion of the head of faculty
Course cost: maths work book $30


Beyond Secondary School:
Accountant, actuary, aeronautical engineer, builder, computer programmer, dentist, dietician, economist, engineer,
geologist, insurance work, landscape architect, meteorologist, pilot, researcher, retailer, valuer.