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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 / USInt /

Ext

Credit ValueTitle of Standard
2.9

AS 91264

ASInt4Use statistical methods to make an inference
1.4

AS 91029

ASInt3Apply Linear Algebra in solving problems
1.2

AS 91027

ASExt4Apply Algebraic Procedures in solving problems
1.1

AS91026

ASInt4
Apply numeric reasoning in solving

problems

1.12

AS91037

ASExt4Demonstrate understanding of chance and data
Credits from Year 105
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

ASInt /

Ext

Credit ValueTitle of Standard
1.1

AS91026

ASInt4
Apply numeric reasoning in solving

problems

1.2

AS 91027

ASExt4Apply Algebraic Procedures in solving problems
1.4

AS 91029

ASInt3Apply Linear Algebra in solving problems
1.10

AS 91035

ASInt4Investigate multivariate numerical data using the statistical enquiry cycle
1.12

AS91037

ASExt4Demonstrate understanding of chance and data
Max credits from Year 105
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 / USInt /

Ext

Credit ValueTitle of Standard
1.1

AS91026

ASInt4
Apply numeric reasoning in solving

problems

1.7

AS91032

ASInt3Apply right-angled triangles in solving measurement problems
1.9

AS91034

ASInt2Apply transformation geometry in solving problems
1.10

AS 91035

ASInt4Investigate multivariate numerical data using the statistical enquiry cycle
1.13

AS 91038

ASInt3Investigate a situation involving elements of chance
Credits from Y10ASInt3/5
TotalAS19

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 / USInt /

Ext

Credit ValueTitle of Standard
1.1

AS91026

ASInt4
Apply numeric reasoning in solving

problems

1.7

AS91032

ASInt3Apply right-angled triangles in solving measurement problems
1.9

AS91034

ASInt2Apply transformation geometry in solving problems
1.10

AS 91035

ASInt4Investigate multivariate numerical data using the statistical enquiry cycle
1.13

AS 91038

ASInt3Investigate a situation involving elements of chance
Credits from Y10ASInt3
TotalAS19

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 / USInt /

Ext

Credit ValueTitle of Standard
2.1

AS91256

ASInt2Apply co-ordinate geometry methods in solving problems
2.4

AS91259

ASInt3Apply trigonometric relationships in solving problems
2.6

AS91261

ASExt4Apply algebraic methods in solving problems
2.7

AS91262

ASExt5Apply calculus methods in solving problems
2.14

AS91269

ASInt2Apply systems of equations in solving problems
2.9 Done in Y11ASInt4
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 Co-ordinate Geometry.

Course Details:

Standards

Offered

AS / USInt /

Ext

Credit ValueTitle of Standard
2.1

AS 91256

ASInt2Apply co-ordinate geometry methods in solving problems
2.3

AS 91258

AS2Apply sequences and series in solving problems
2.4

AS 91259

ASInt3Apply trigonometric relationships in solving problems
2.5

AS 91260

ASInt2Apply network methods in solving problems
2.9

AS 91264

ASInt4Use statistical methods to make an inference
2.14

AS 91269

ASInt2Apply 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 Co-ordinate Geometry and a trade module.

Course Details:

Standards

Offered

AS / USInt /

Ext

Credit ValueTitle of Standard
US 24361US3
Apply mathematical processes to BCATS projects
2.1 AS

91256

Int2Apply co-ordinate geometry methods in solving problems
2.4

AS91259

ASInt3Apply trigonometric relationships in solving problems
2.5 AS

91260

ASInt2Apply 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

LevelAS / USInt/

Ext

Credit ValueTitle of Standard
AS915823ASInt4Use statistical methods to make a formal inference
AS915743ASInt3Apply linear programming methods in solving problems
AS915753ASInt4Apply trigonometric methods in solving problems
915783ASExt6Apply differentiation methods in solving problems
915793ASExt6Apply 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

LevelAS / USInt/

Ext

Credit ValueTitle of Standard
915803ASInt4Investigate time series data
915743ASInt3Apply linear programming methods in solving problems
915813ASInt4Investigate bivariate measurement data
AS915823ASInt4Use statistical methods to make a formal inference
915873ASInt3Apply systems of simultaneous equations in solving problems
TOTAL:18