Teacher in Charge: Mr V. Subramoney.
Recommended Prior LearningCompletion of Year 10 mathematics :
1.Algebra
Expressions and equations
Manipulation of algebraic terms
Solving linear, quadratic, and simultaneous equations
Patterns and relationships
Algebraic reasoning and generalisation
2. Graphs
Graphing linear and non-linear functions
Interpreting and constructing graphs
Gradient and intercepts
Transformations of graphs
Coordinate geometry
Relationships between algebraic equations and their graphs
3. Number
Number properties and operations
Place value, decimals, percentages
Fractions and ratios
Integers and directed numbers
Powers and roots
Prime factorisation and multiples
Order of operations
Estimation and rounding
4. Geometry
Properties of 2D and 3D shapes
Angles and their relationships
Congruence and similarity
Symmetry and transformations
Coordinate geometry (geometric focus)
Geometric constructions
5. Measurement
Perimeter, area, and volume
Units of measure and conversions
Time, mass, capacity
Scale and scale diagrams
Accuracy and tolerance
6. Statistics and Probability
Collecting and displaying data
Analysing and interpreting statistical data
Measures of central tendency (mean, median, mode)
Probability models and experiments
Relative frequency and theoretical probability
Risk and chance reasoning
Mathematics is a compulsory subject in Year 11.
The skills developed in Years 9 and 10 are consolidated and extended. Students will learn to interpret data, communicate clearly, think logically, look for patterns and solve problems. The aim of mathematics at this level is to help students understand society and play a responsible part in it. The course is designed to provide a sound foundation for further study of mathematics.
Each student will be allocated a mathematics class based on the recommendation of her teacher in Year 10 and performance in the end–of–year 10 common assessment tasks, in consultation with the Learning Area Director of Mathematics. Students placed in 11MTA classes will have very good grades in Year 10 assessments. Entry to 11MTX, which does a Level 2 Mathematics course, is by invitation only. Students who are still working towards NCEA Numeracy will be placed in 11MTN, where they will have support to gain NCEA Numeracy along with their Mathematics learning.
Most students will complete an NCEA level one external standard.
And all students will sit the NCEA Numeracy common assessment task.
Term 1
This is a general outline only. The order and specific concepts taught may vary depending on the class and teacher, as topics are adapted to meet the learning needs of each group.
Number & Algebra Foundations
Focus: Build core number sense and introduce algebraic thinking early to support later graph and equation work.
Number
*Place value, decimals, fractions, and percentages
* Integers and directed numbers
* Powers, roots, and order of operations
* Ratios and proportions
* Estimation and rounding
Algebra
* Algebraic expressions and notation
* Simplifying expressions
* Solving linear equations
* Expanding and factorising
* Patterns and generalisation
Term 2
Term 2: Graphs & Relationships
Focus: Connect algebraic equations with graphical representations. Introduce coordinate geometry and linear relationships.
Graphs
* Cartesian plane and plotting points
* Graphing linear equations
* Intercepts and gradient
* Interpreting real-world graphs
* Distance–time and other contextual graphs
Algebra (continued)
* Simultaneous equations
* Formulas and rearranging
* Inequalities
* Word problems and modelling
Term 3
Term 3: Geometry & Measurement
Focus: Deepen spatial reasoning and apply number and algebraic skills to geometric contexts.
Geometry
* Properties of 2D and 3D shapes
* Angles (including parallel lines and polygons)
* Transformations: translation, reflection, rotation, enlargement
* Symmetry and tessellations
Measurement
* Perimeter, area (triangles, quadrilaterals, circles)
* Volume and surface area (prisms, cylinders)
* Units and conversions
* Scale diagrams
* Time, mass, and capacity
Term 4
Term 4: Statistics & Probability
Focus: Use number, graphing, and analytical skills to reason with data and chance.
Statistics
* Data collection and survey design
* Displaying data (bar graphs, histograms, dot plots, box plots)
* Measures of central tendency (mean, median, mode)
* Spread (range, interquartile range)
Probability
* Simple and compound events
* Probability models
* Relative frequency vs theoretical probability
* Interpreting risk and likelihood
Students in 11MTH and 11MTA will sit the AS 91947 external standard, and do a school practice exam for that standard. There will also be a number of topic assessments throughout the course.
Students in any Mathematics or Statistics course at year 11 or above who do not yet have NCEA Numeracy will have the opportunity to sit the Numeracy common assessment task US32406.
Students in 11MTN will complete two internal standards (91944 and 91945) as well as the Numeracy common assessment task.
Level 2 Mathematics (A), Level 2 Mathematics Calculus, Level 2 Mathematics Combined, Level 2 Statistics
Mathematics is a foundation for further study in a range of learning areas including science, commerce, medicine and information science. Satisfactory completion of this course will allow students to proceed to a Level 2 Mathematics or Statistics course.
Course Costs and Equipment/ Stationery requirementsWe highly recommend that students have access to a Casio graphic calculator (fx-9860GIII, approximately $180). Older models such as the Casio fx-9750G are also suitable[ Students in 11MTN will require a calculator with powers and roots, about $20]. If you’re unsure, please check with your child’s Mathematics teacher before purchasing whether from the school uniform shop or another retailer.
Write-on workbook: Sigma Mathematics : 1.4 Mathematical reasoning $21
Workbook for internals : $5
Note: All prices are approximate and may change slightly due to updates from suppliers or production costs. We will do our best to keep any changes as minimal as possible.
In addition, students are expected to bring standard stationery items, including: A ruler, glue stick, protractor, compass, three x 1J8 exercise books
If the cost of any items presents a challenge, we warmly encourage you to contact the Dean early in Term 1 next year to discuss possible support.
We aim to enable every student to have the course that they prefer, however, some courses have limited places or prerequisites that may restrict the student's choice. Please have a conversation with your dean if you have any further questions regarding access to courses.