Maths tutoring, Year 6 to university
One student, one tutor, one plan. New Zealand Curriculum, NCEA, Cambridge, IB.
Explained first, then practised together
Our tutors explain and model each idea, usually in more than one way, then work through problems with your child so mistakes are caught as they happen. This is explicit teaching, the approach the research supports and the New Zealand curriculum refresh asks for.
Lessons follow the refreshed New Zealand Curriculum and the same topics as school at the same time, so what your child learns with us shows up in class the next day. Gaps from earlier years are fixed as the tutor finds them.
Every maths lesson includes
- A plan written for your child before the lesson
- Worked examples on a shared whiteboard
- PDF notes sent the same day
- Homework examples, five minutes a day
- Free quizzes and worksheets on the same topics
By year level
Topics follow the refreshed New Zealand Curriculum and NCEA. Cambridge and IB students are taught to their own syllabus.
Building the foundations
- Place value, fractions, decimals, percentages
- Times tables and written methods
- First algebra: patterns and simple equations
- Measurement, angles and shapes
- Graphs, averages and chance
Ready for NCEA
- Expanding, factorising, solving equations
- Linear graphs and simultaneous equations
- Pythagoras, trigonometry, area and volume
- Angle rules and transformations
- Statistics, box plots and probability
NCEA Level 1
- The four new Level 1 standards, 1.1 to 1.4
- Statistical enquiry and mathematical methods
- Interpreting information in context
- Mathematical reasoning
- The Numeracy co-requisite
NCEA Level 2
- Calculus pathway: algebra, graphs, calculus
- Statistics pathway: inference, probability
- Internals and externals
- Merit and Excellence technique
NCEA Level 3 and Scholarship
- Differentiation, integration, complex numbers
- Time series, bivariate data, inference
- Scholarship Calculus and Statistics
- Preparation for university maths
First and second year
- Calculus and linear algebra
- Statistics and data analysis
- Maths for engineering, commerce and science
NCEA Mathematics and Statistics standards
Every standard we tutor, with its number and NZQA title. Level 1 uses the new standards from the NCEA change programme.
Level 1 (Year 11)
| Standard | Number | Title | Credits | Assessed |
|---|---|---|---|---|
| 1.1 | AS91944 | Explore data using a statistical enquiry process | 5 | Internal |
| 1.2 | AS91945 | Use mathematical methods to explore problems that relate to life in Aotearoa New Zealand or the Pacific | 5 | Internal |
| 1.3 | AS91946 | Interpret and apply mathematical and statistical information in context | 5 | External |
| 1.4 | AS91947 | Demonstrate mathematical reasoning | 5 | External |
Level 2 (Year 12)
| Standard | Number | Title | Credits | Assessed |
|---|---|---|---|---|
| 2.1 | AS91256 | Apply co-ordinate geometry methods in solving problems | 2 | Internal |
| 2.2 | AS91257 | Apply graphical methods in solving problems | 4 | Internal |
| 2.3 | AS91258 | Apply sequences and series in solving problems | 2 | Internal |
| 2.4 | AS91259 | Apply trigonometric relationships in solving problems | 3 | Internal |
| 2.5 | AS91260 | Apply network methods in solving problems | 2 | Internal |
| 2.6 | AS91261 | Apply algebraic methods in solving problems | 4 | External |
| 2.7 | AS91262 | Apply calculus methods in solving problems | 5 | External |
| 2.8 | AS91263 | Design a questionnaire | 3 | Internal |
| 2.9 | AS91264 | Use statistical methods to make an inference | 4 | Internal |
| 2.10 | AS91265 | Conduct an experiment to investigate a situation using statistical methods | 3 | Internal |
| 2.11 | AS91266 | Evaluate a statistically based report | 2 | Internal |
| 2.12 | AS91267 | Apply probability methods in solving problems | 4 | External |
| 2.13 | AS91268 | Investigate a situation involving elements of chance using a simulation | 2 | Internal |
| 2.14 | AS91269 | Apply systems of equations in solving problems | 2 | Internal |
Level 3 (Year 13)
| Standard | Number | Title | Credits | Assessed |
|---|---|---|---|---|
| 3.1 | AS91573 | Apply the geometry of conic sections in solving problems | 3 | Internal |
| 3.2 | AS91574 | Apply linear programming methods in solving problems | 3 | Internal |
| 3.3 | AS91575 | Apply trigonometric methods in solving problems | 4 | Internal |
| 3.4 | AS91576 | Use critical path analysis in solving problems | 2 | Internal |
| 3.5 | AS91577 | Apply the algebra of complex numbers in solving problems | 5 | External |
| 3.6 | AS91578 | Apply differentiation methods in solving problems | 6 | External |
| 3.7 | AS91579 | Apply integration methods in solving problems | 6 | External |
| 3.8 | AS91580 | Investigate time series data | 4 | Internal |
| 3.9 | AS91581 | Investigate bivariate measurement data | 4 | Internal |
| 3.10 | AS91582 | Use statistical methods to make a formal inference | 4 | Internal |
| 3.11 | AS91583 | Conduct an experiment to investigate a situation using experimental design principles | 4 | Internal |
| 3.12 | AS91584 | Evaluate statistically based reports | 4 | Internal |
| 3.13 | AS91585 | Apply probability concepts in solving problems | 4 | External |
| 3.14 | AS91586 | Apply probability distributions in solving problems | 4 | External |
| 3.15 | AS91587 | Apply systems of simultaneous equations in solving problems | 3 | Internal |
Titles and credits as published by NZQA. Schools choose which standards they offer, so check your child's course outline. Scholarship Calculus and Scholarship Statistics are tutored too.
The Numeracy co-requisite
Every student needs the Numeracy co-requisite to get any NCEA certificate. It tests everyday maths in context, not the maths of a particular year level, and students who miss it once usually need targeted help rather than more of the same.
We work through the question types the assessment uses, fix the skills behind them, and practise under the same conditions until the student is ready.
The co-requisite in brief
- StandardUnit standard 32406, Apply mathematics and statistics in a range of everyday situations
- Credits10 credits. With Literacy (reading and writing, 5 each) it makes the 20-credit co-requisite
- Needed forEvery NCEA certificate, Level 1, 2 and 3
- HowA digital assessment sat at school, two opportunities a year
- CoversNumber, measurement, statistics and reasoning in everyday situations
- Also countsUntil the end of 2027, schools can use an approved list of achievement standards as another route
- Who we helpStudents sitting it for the first time, and students who have missed it
Reviews
Their maths grades have jumped from pass to E8 grade over 1-2 semesters. Maths was initially their weakest subject, but is now their strongest subject in school, as they are both straight A students.Terry L.Parent, Google review
My daughter is getting higher marks in her tests and actually seems to understand Math better. She has had another tutor before but these guys have hit the nail on the head.Jules K.Parent, Google review
Marcel had helped him to better understand formulas and rules that helped my son better understand mathematical concepts. Explained basics again to have a better foundation.Risha S.Parent, Google review
Questions
Which maths year levels do you tutor?
Years 6 to 13, including NCEA Levels 1 to 3 and Scholarship, Cambridge and IB, and first and second year university maths and statistics.
Do you follow the new curriculum?
Yes. Lessons follow the refreshed New Zealand Curriculum for Years 6 to 10 and the new NCEA Level 1 standards, and our teaching uses the explicit approach the refresh asks for.
Do you help with the NCEA Numeracy co-requisite?
Yes. We work through the question types the co-requisite assessment uses, fix the skills behind them, and practise under the same conditions. Students who have missed it once are very welcome.
Will the lessons match what my child does at school?
Yes. The tutor asks what the class is covering and plans each lesson around it. Gaps from earlier years are fixed along the way.
Can you prepare my child for NCEA externals?
Yes. Before externals, lessons turn to past papers, exam technique and the Merit and Excellence parts of each standard. Extra lessons can be added in the holidays.
See the difference for yourself
One free maths lesson, no contract, and PDF notes afterwards.
