Mathematics
Mathematics and Statistics Pàngarau
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"Pure Mathematics is, in its way, the poetry of logical ideas." ~Albert Einstein
At SEHC we are proud of the opportunities we offer in the Mathematics Department. We use Mathematics to teach the students the ability to use relational and extended abstract thinking to solve Mathematical, but also everyday problems. These are vital skills in any profession, and especially at university where abstract reasoning and problem solving are required.
We acknowledge that all students have the ability to learn the needed Mathematics skills and strategies to equip them for different situations. The Mathematics teachers are committed to plan for effective teaching and to provide sufficient opportunities to learn. All Mathematics teachers at this school strive to create and supportive and inclusive learning environment for students of different abilities.
Course Information
Level 1 Mathematics and Statistics
Course Title: Mathematics and Statistics NCEA Level (s): 1
Course Code: MTH101
Course Description:
This is an advanced Mathematics course offering as many externals as possible for University entrance. This course caters primarily for students wishing to pursue Mathematics (Algebra and Calculus) all the way to Level 3.
It includes all the Algebra modules along with some Statistics, Trigonometry and Geometry.
Course Details:
Standards Offered 
AS / US 
Int / Ext 
Credit Value 
Title of Standard 

2.9 AS 91264 
AS 
Int 
4 
Use statistical methods to make an inference 

1.4 AS 91029 
AS 
Int 
3 
Apply Linear Algebra in solving problems 

1.2 AS 91027 
AS 
Ext 
4 
Apply Algebraic Procedures in solving problems 

1.1 AS91026 
AS 
Int 
4 


1.12 AS91037 
AS 
Ext 
4 
Demonstrate understanding of chance and data 

Credits from Year 10 
5 

TOTAL: 
24 
Level 1 Mathematics and Statistics
Course Title: Mathematics and Statistics NCEA Level (s): 1
Course Code: MTH102
Course Description:
This is an intermediate Mathematics course offering one External examination, for possible University entrance. This course caters primarily for students wishing to pursue Mathematics (Statistics and Probability) all the way to Level 3. It includes some Algebra modules along with Statistics, Trigonometry and Geometry.
Course Details:
Standards Offered 
AS 
Int / Ext 
Credit Value 
Title of Standard 

1.1 AS91026 
AS 
Int 
4 


1.2 AS 91027 
AS 
Ext 
4 
Apply Algebraic Procedures in solving problems 

1.4 AS 91029 
AS 
Int 
3 
Apply Linear Algebra in solving problems 

1.10 AS 91035 
AS 
Int 
4 
Investigate multivariate numerical data using the statistical enquiry cycle 

1.12 AS91037 
AS 
Ext 
4 
Demonstrate understanding of chance and data 

Max credits from Year 10 
5 

TOTAL: 
24 
Level 1 Mathematics and Statistics
Course Title: Mathematics and Statistics NCEA Level (s): 1
Course Code: MTH103
Course Description:
Mathematics course offering students the opportunity to gain 19 Mathematics credits It includes NO External examinations. This course caters primarily for students who do not need to pursue Mathematics for tertiary studies acceptance.
It includes Statistics, Probability, Number and Trigonometry and Geometry modules. Teachers and students will decide who will follow this course. Students who choose this course will not be able to continue with Mathematics in Year 12.
Course Details:
Standards Offered 
AS / US 
Int / Ext 
Credit Value 
Title of Standard 

1.1 AS91026 
AS 
Int 
4 


1.7 AS91032 
AS 
Int 
3 
Apply rightangled triangles in solving measurement problems 

1.9 AS91034 
AS 
Int 
2 
Apply transformation geometry in solving problems 

1.10 AS 91035 
AS 
Int 
4 
Investigate multivariate numerical data using the statistical enquiry cycle 

1.13 AS 91038 
AS 
Int 
3 
Investigate a situation involving elements of chance 

Credits from Y10 
AS 
Int 
3/5 

Total 
AS 
19 
Level 1 Mathematics and Statistics
Course Title: Mathematics and Statistics NCEA Level (s): 1
Course Code: MTH104
Course Description:
This is a Numeracy / Mathematics course offering students the opportunity to gain 10 Numeracy credits plus some internal Achievement Standards. It includes NO External examinations. This course caters primarily for students who do not need to pursue Mathematics for tertiary studies acceptance
It includes Statistics, Probability, Measurement, Number and Trigonometry modules. The achievement of the Numeracy qualification is based on the provision of naturally occurring evidence, indicating the students have acquired the necessary skills.
Course Details:
Standards Offered 
AS / US 
Int / Ext 
Credit Value 
Title of Standard 

1.1 AS91026 
AS 
Int 
4 


1.7 AS91032 
AS 
Int 
3 
Apply rightangled triangles in solving measurement problems 

1.9 AS91034 
AS 
Int 
2 
Apply transformation geometry in solving problems 

1.10 AS 91035 
AS 
Int 
4 
Investigate multivariate numerical data using the statistical enquiry cycle 

1.13 AS 91038 
AS 
Int 
3 
Investigate a situation involving elements of chance 

Credits from Y10 
AS 
Int 
3 

Total 
AS 
19 
Level 2 Mathematics and Statistics
Course Title: Mathematics NCEA Level (s): 2
Course Code: MTH201
Course Description:
This is an advanced Mathematics course offering as many externals as possible for University entrance. This course caters primarily for students wishing to pursue Mathematics (Algebra and Calculus) all the way to Level 3.
It includes all the Algebra modules along with some Probability, Inference and Graphs
Course Details:
Standards Offered 
AS / US 
Int / Ext 
Credit Value 
Title of Standard 
2.1 AS91256 
AS 
Int 
2 
Apply coordinate geometry methods in solving problems 
2.4 AS91259 
AS 
Int 
3 
Apply trigonometric relationships in solving problems 
2.6 AS91261 
AS 
Ext 
4 
Apply algebraic methods in solving problems 
2.7 AS91262 
AS 
Ext 
5 
Apply calculus methods in solving problems 
2.14 AS91269 
AS 
Int 
2 
Apply systems of equations in solving problems 
2.9 Done in Y11 
AS 
Int 
4 

TOTAL: 
20 
Level 2 Mathematics and Statistics
Course Title: Mathematics NCEA Level (s): 2
Course Code: MTH202
Course Description:
This is an intermediate Mathematics course offering one external examination and the balance are internal achievement modules. This course caters primarily for students who do not intend pursuing Mathematics (Calculus and Stats) in Level 3.
It includes Inference, Probability, Networks, Trigonometry and Coordinate Geometry.
Course Details:
Standards Offered 
AS / US 
Int / Ext 
Credit Value 
Title of Standard 
2.1 AS 91256 
AS 
Int 
2 
Apply coordinate geometry methods in solving problems 
2.3 AS 91258 
AS 
2 
Apply sequences and series in solving problems 

2.4 AS 91259 
AS 
Int 
3 
Apply trigonometric relationships in solving problems 
2.5 AS 91260 
AS 
Int 
2 
Apply network methods in solving problems 
2.9 AS 91264 
AS 
Int 
4 
Use statistical methods to make an inference 
2.14 AS 91269 
AS 
Int 
2 
Apply systems of equations in solving problems 
TOTAL: 
15 
Level 2 Mathematics and Statistics
Course Title: Mathematics NCEA Level (s): 2
Course Code: MTH203
Course Description:
This is an intermediate Mathematics course offering only internal achievement modules. This course caters primarily for trade students who do not intend pursuing Mathematics (Calculus and Stats) in Level 3.
Networks, Trigonometry and Coordinate Geometry and a trade module.
Course Details:
Standards Offered 
AS / US 
Int / Ext 
Credit Value 
Title of Standard 

US 24361 
US 
3 


2.1 AS 91256 
Int 
2 
Apply coordinate geometry methods in solving problems 

2.4 AS91259 
AS 
Int 
3 
Apply trigonometric relationships in solving problems 

2.5 AS 91260 
AS 
Int 
2 
Apply network methods in solving problems 

TOTAL: 
*10 
*Note: The trade students do not follow a full Mathematics course.
Level 3 Mathematics and Statistics
Course Title: Mathematics (Calc) NCEA Level (s): 3
Course Code: MTH301
Course Description:
A range of Statistics and Calculus topics are offered. This will enable students to meet all the requirements to carry on with tertiary studies in most courses. A study of these will enable the student to successfully apply for a Statistics or Engineering course at University level.
Course Details:
Standards Offered 
Level 
AS / US 
Int/ Ext 
Credit Value 
Title of Standard 
AS91582 
3 
AS 
Int 
4 
Use statistical methods to make a formal inference 
AS91574 
3 
AS 
Int 
3 
Apply linear programming methods in solving problems 
AS91575 
3 
AS 
Int 
4 
Apply trigonometric methods in solving problems 
91578 
3 
AS 
Ext 
6 
Apply differentiation methods in solving problems 
91579 
3 
AS 
Ext 
6 
Apply integration methods in solving problems 
TOTAL: 
23 
Level 3 Mathematics and Statistics
Course Title: Mathematics (Stats) NCEA Level (s): 3
Course Code: MTH301
Course Description:
A range of Statistics and Calculus topics are offered. This will enable students to meet all the requirements to carry on with tertiary studies in most courses. A study of these will enable the student to successfully apply for a Statistics or Engineering course at University level.
Course Details:
Standards Offered 
Level 
AS / US 
Int/ Ext 
Credit Value 
Title of Standard 
91580 
3 
AS 
Int 
4 
Investigate time series data 
91574 
3 
AS 
Int 
3 
Apply linear programming methods in solving problems 
91581 
3 
AS 
Int 
4 
Investigate bivariate measurement data 
AS91582 
3 
AS 
Int 
4 
Use statistical methods to make a formal inference 
91587 
3 
AS 
Int 
3 
Apply systems of simultaneous equations in solving problems 
TOTAL: 
18 