### 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
| AS / US | Int /
| 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
| AS | Int /
| 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
| AS / US | Int /
| Credit Value | Title of Standard | ||

1.1 AS91026 | AS | Int | 4 |
| ||

1.7 AS91032 | AS | Int | 3 | Apply right-angled 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
| AS / US | Int /
| Credit Value | Title of Standard | |

1.1 AS91026 | AS | Int | 4 |
| |

1.7 AS91032 | AS | Int | 3 | Apply right-angled triangles in solving measurement problems | |

1.9 AS | 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
| AS / US | Int /
| Credit Value | Title of Standard |

2.1 AS91256 | AS | Int | 2 | Apply co-ordinate 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 Co-ordinate Geometry.

**Course Details:**

Standards
| AS / US | Int /
| Credit Value | Title of Standard |

2.1 AS 91256 | AS | Int | 2 | Apply co-ordinate 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 Co-ordinate Geometry and a trade module.

**Course Details:**

Standards
| AS / US | Int /
| Credit Value | Title of Standard | |

US 24361 | US | 3 |
| ||

2.1 AS 91256 | Int | 2 | Apply co-ordinate 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
| Level | AS / US | Int/
| 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
| Level | AS / US | Int/
| 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 |