  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. Finding 'X' - Introduction to expressions and equations. Exploring patterns and formulae.
2. More Than Just a Box - Metric units, estimation and calculation of length, area and volume. Rates and ratios.
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.

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. Let the Data Decide - Use the PPDAC cycle to explore multivariate data. The students will sit a Level 1 Internal AS91035 (4 Credits) at the end of this unit.
3. Trig or Treat - Use Pythagoras and trigonometry to find lengths and angles of right-angled triangles. Use geometric reasoning to solve problems.
4. Investigating Graphs - Explore the relationship between tables, equations and linear/quadratic patterns.

Students will be assessed with tests, assignments and projects as well as the formal mid-year and end-of-year examinations.

Year 11 Mathematics    (11MAT)

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 five topics (standards) that count for 19 credits towards Level 1 NCEA.

Internal Standards (Assignments)

• 91026  (1.1)  Apply numeric reasoning when solving problems  (4 credits)
• 91036  (1.11)  Use the statistical enquiry cycle to investigate bivariate numerical data  (3 credits)

External Standards (Exams)

• 91027  (1.2)  Apply algebraic methods  (4 credits)
• 91028  (1.3)  Investigate relationships between tables, equations or graphs  (4 credits)
• 91037  (1.12)  Demonstrate understanding of chance and data  (4 credits)

Year 11 Specialist Mathematics    (11MAS)

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 1 NCEA.

Internal Standards (Assignments)

• 91026  (1.1)  Apply numeric reasoning when solving problems  (4 credits)

External Standards (Exams)

• 91027  (1.2)  Apply algebraic methods  (4 credits)
• 91028  (1.3)  Investigate relationships between tables, equations or graphs  (4 credits)
• 91031  (1.6)  Apply geometric reasoning  (4 credits)
• 91037  (1.12)  Demonstrate understanding of chance and data  (4 credits)

Year 11 Mathematics Applied    (11MAA)

This course is designed to give students the opportunity to demonstrate mathematical skills, concepts and understanding in the number and algebra, geometry and measurement, and statistics curriculum strands.

• To solve problems in everyday situations.  It gives opportunities for students struggling with some abstract concepts of mathematics to make sense of mathematics and thus apply the skills to real concrete situations
• Choose appropriate technology to solve problems
• 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 communicate mathematical ideas.  To interpret information and express mathematical ideas and results clearly

Students study five topics (standards) that count for 17 credits towards Level 1 NCEA.

Internal Standards (Assignments)

• 91026  (1.1)  Apply numeric reasoning when solving problems  (4 credits)
• 91029  (1.4)  Apply linear algebra in solving problems  (3 credits)
• 91036  (1.11)  Use the statistical enquiry cycle to investigate bivariate numerical data  (3 credits)
• 91038  (1.13)  Investigate a situation involving elements of chance  (3 credits)

External Standards (Exams)

• 91037  (1.12)  Demonstrate understanding of chance and data (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)

• 91258  (2.3)  Apply sequences and series in solving problems  (2 credits)
• 91259  (2.4)  Apply trigonometric relationships in solving problems  (3 credits)
• 91264  (2.9)  Use statistical methods to make an inference  (4 credits)
• 91581  (3.9)  Investigate bivariate measurement data  (4 credits)

External Standards (Exams)

• 91267 (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)

• 91257  (2.2)  Apply graphical models in solving problems  (4 credits)
• 91259  (2.4)  Apply trigonometric relationships in solving problems  (3 credits)

External Standards (Exams)

• 91261  (2.6)  Apply algebraic methods in solving problems  (4 credits)
• 91262  (2.7)  Apply calculus methods in solving problems  (5 credits)
• 91267  (2.12)  Apply probability methods in solving problems  (4 credits)

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)

• 91258  (2.3)  Apply sequences and series in solving problems  (2 credits)
• 91259  (2.4)  Apply trigonometric relationships in solving problems  (3 credits)
• 91264  (2.9)  Use statistical methods to make an inference  (4 credits)
• 91581  (3.9)  Investigate bivariate measurement data  (4 credits)

External Standards (Exams)

• 91267 (2.12)  Apply probability methods in solving problems  (4 credits)