  # Mathematics

### Year 9 Mathematics    (9MAT)

At this level students will be tested and reinforced at their level of Numeracy and working with the topics of Number, Algebra, Probability and Measurement.

The topics and what they cover are:

1. More Than Just a Box  -  Metric units, estimation and calculation of length, area and volume. Rates and ratios.
2. Finding 'X'  -  Introduction to expressions and equations. Exploring patterns and formulae.
3. What’s the Story?  -  Construct and interpret graphs. Construct algebraic tables and graphs and link to equations and expressions.
4. What are the Chances?  -  Introduction to concepts of probability and construction of tree diagrams. Carry out experiments and simulations.

Students will be assessed with tests, assignments and projects.

### Year 10 Mathematics    (10MAT)

This course is a continuation of the Year 9 programme.  Skills are developed to enable students to continue their Mathematics in the Senior School.  Increased emphasis is placed on problem solving and investigations.

The topics and what they cover are:

1. Crafty Consumers  -  Explore and solve number problems involving decimals, fractions and percentages.  Calculate ratios and use standard form.
2. Getting from A to B  -  Explore the relationship between tables, equations and linear/quadratic patterns.
3. Let the Data Decide  -  Use the PPDAC cycle to explore multivariate data. Interpret box and whisker, scatter and time series graphs.
4. Shape Up!  -  Use Pythagoras and trigonometry to find lengths and angles of right-angled triangles. Use geometric reasoning to solve problems.

Students will be assessed with tests, assignments and projects.

### 11MAT

This course is for students who have achieved good results in the topic tests sat in Year 9 and 10 (Level 3 and above).  Entry is through recommendation from the Year 10 teacher and approval by the Faculty Leader.  This course does not lead to 12MAS.  Students selecting this course are aiming to gain 10 numeracy credits through sitting internal achievement standards.

### 11MAA

This course is for students have not met the requirements for 11MAT but will continue studying Mathematics.  Entry is through recommendation from the Year 10 teacher and approval by the Faculty Leader.  This course does not lead to 12MAS.  Students selecting this course are aiming to gain 10 numeracy credits through sitting internal achievement standards.

Candidates will be expected to:

• Demonstrate mathematical skills, concepts and understanding in number and algebra, geometry and measurement, and statistics curriculum strands
• Apply these skills, concepts and understandings to familiar and unfamiliar problems arising in real and simulated situations
• Demonstrate the ability to select and use appropriate mathematical techniques in problem solving
• Demonstrate the ability to reason logically and systematically
• Demonstrate the ability to communicate mathematical ideas

Students study four topics (standards) that count for 13 credits towards numeracy.

#### Internal Standards (Assignments)

• AS91026  (1.1)  Apply numeric reasoning when solving problems  (4 credits)
• AS91029  (1.4)  Apply linear algebra in solving problems (3 credits)
• AS91032  (1.7)  Apply right angled triangles in solving measurement problems (3 credits)
• AS91036  (1.11)  Use the statistical enquiry cycle to investigate bivariate numerical data  (3 credits)

### Year 11 Specialist Mathematics    (11MAS)

This course is for students who have achieved excellent results in the topic tests sat in Year 9 and 10 (Level 6 and above).  Entry is through recommendation from the Year 10 teacher and approval by the Faculty Leader.  Students selecting to sit this course are continuing with Mathematics at Level 2 and will gain numeracy in Year 12.

Candidates will be expected to:

• Demonstrate mathematical skills, concepts and understanding in the number and algebra, geometry and measurement, and statistics curriculum strands
• Apply these skills, concepts and understandings to familiar and unfamiliar problems arising in real and simulated situations
• Demonstrate the ability to select and use appropriate mathematical techniques in problem solving
• Demonstrate the ability to reason logically and systematically
• Demonstrate the ability to communicate mathematical ideas

Students study five topics and complete one external NCEA standard gaining 4 credits towards numeracy.

• Number and Measurement
• Geometry
• Tables, equations and graphs
• Algebra
• AS9102  (1.2)  Apply algebraic methods  (4 credits)
• Chance and Data

### Year 12 Mathematics with Statistics    (12MAA)

Candidates will be expected to:

• Demonstrate mathematical skills, concepts and understanding in the number and algebra, geometry and measurement, and statistics curriculum strands
• Apply these skills, concepts and understandings to familiar and unfamiliar problems arising in real and simulated situations
• Demonstrate the ability to select and use appropriate mathematical techniques in problem solving
• Demonstrate the ability to reason logically and systematically
• Demonstrate the ability to communicate mathematical ideas

Students study five topics (standards) that count for 17 credits towards Level 2 NCEA.

#### Internal Standards (Assignments)

• AS91258  (2.3)  Apply sequences and series in solving problems  (2 credits)
• AS91259  (2.4)  Apply trigonometric relationships in solving problems  (3 credits)
• AS91264  (2.9)  Use statistical methods to make an inference  (4 credits)
• AS91581  (3.9)  Investigate bivariate measurement data  (4 credits)

#### External Standards (Exams)

• AS91267  (2.12)  Apply probability methods in solving problems  (4 credits)

### Year 12 Mathematics    (12MAT)

Candidates will be expected to:

• Demonstrate mathematical skills, concepts and understanding in the number and algebra, geometry and measurement, and statistics curriculum strands
• Apply these skills, concepts and understandings to familiar and unfamiliar problems arising in real and simulated situations
• Demonstrate the ability to select and use appropriate mathematical techniques in problem solving
• Demonstrate the ability to reason logically and systematically
• Demonstrate the ability to communicate mathematical ideas

Students study five topics (standards) that count for 17 credits towards Level 2 NCEA.

#### Internal Standards (Assignments)

• AS91258  (2.3)  Apply sequences and series in solving problems  (2 credits)
• AS91259  (2.4)  Apply trigonometric relationships in solving problems  (3 credits)
• AS91264  (2.9)  Use statistical methods to make an inference  (4 credits)
• AS91581  (3.9)  Investigate bivariate measurement data  (4 credits)

#### External Standards (Exams)

• AS91267  (2.12)  Apply probability methods in solving problems  (4 credits)

### Year 12 Specialist Mathematics    (12MAS)

Candidates will be expected to:

• Demonstrate mathematical skills, concepts and understanding in the number and algebra, geometry and measurement, and statistics curriculum strands
• Apply these skills, concepts and understandings to familiar and unfamiliar problems arising in real and simulated situations
• Demonstrate the ability to select and use appropriate mathematical techniques in problem solving
• Demonstrate the ability to reason logically and systematically
• Demonstrate the ability to communicate mathematical ideas

Students study five topics (standards) that count for 20 credits towards Level 2 NCEA.

#### Internal Standards (Assignments)

• AS91257  (2.2)  Apply graphical models in solving problems  (4 credits)
• AS91259  (2.4)  Apply trigonometric relationships in solving problems  (3 credits)

#### External Standards (Exams)

• AS91261  (2.6)  Apply algebraic methods in solving problems  (4 credits)
• AS91262  (2.7)  Apply calculus methods in solving problems  (5 credits)
• AS91267  (2.12)  Apply probability methods in solving problems  (4 credits)

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