When students get stuck, I don’t give them the answer straight away. Instead, I ask clear, guiding questions that lead them to the solution step by step. This builds strong reasoning skills and helps students understand why a method works, not just how to copy it. Over time, they become more confident, independent thinkers — both in class and in their school maths work. Feel free to check it out live here.
Each year level builds on the last, so I focus on strengthening the core skills that Australian schools expect at each stage. Here’s a clear overview of what students typically work on:
Year 3: Four-digit addition and subtraction, division of 2-digit and 3-digit numbers by 1-digit (with and without remainders), identifying and working with fractions, number patterns, reading and interpreting pictographs, 2D and 3D shapes, telling time, and basic measurement skills including length, mass, area, and volume. Students also learn simple map legends and directions.
Year 4: Addition and subtraction with larger numbers, multiplication facts and mental strategies, division with and without remainders, comparing and simplifying fractions, finding simple fractions of quantities, and an introduction to decimals. Students also work with number and shape patterns, read clocks and convert time units, and measure length, mass, capacity, area, and perimeter. Geometry skills grow through identifying angles, properties of 2D and 3D shapes, and symmetry. Data skills include reading bar graphs, line graphs, pictographs, and basic data tables.
Year 5: Students work with larger numbers, multiply 2-digit numbers, and divide with and without remainders. They build confidence with fractions — including equivalence, mixed numbers, and fractions of quantities — and deepen their understanding of decimals by reading, comparing, and converting between fractions and decimals. Percentages are introduced in simple contexts. They also learn number patterns, sequence rules, and basic input–output tables. Measurement skills include converting metric units, understanding temperature, and working with perimeter, area, and volume. Geometry topics cover angle types, symmetry, and properties of 2D/3D shapes, along with reading simple coordinate grids. Data skills include interpreting pictographs, bar and line graphs, tables, and basic probability ideas.
Year 6: Students consolidate all core operations and learn to multiply and divide by 10, 100, and 1000. Fractions become deeper — simplifying, converting between improper and mixed forms, adding and subtracting with unlike denominators, and introductory multiplication and division of fractions. Decimal skills expand to include all four operations, and students learn to connect fractions, decimals, and percentages, including finding percentages of quantities. They also begin working with negative numbers.
Algebra skills include number patterns, input–output rules, and evaluating simple expressions. Measurement work covers unit conversions, time and timetables, perimeter, area, and volume of more complex shapes. Geometry topics include angle calculations, triangle types, properties and nets of solids, and symmetry/transformations. Data topics involve interpreting bar, line, and column graphs, pie charts, tables, and basic probability using fractions, decimals, or percentages.
Year 7: Students learn to work confidently with integers, fractions, decimals, percentages, ratios, and the order of operations. They are introduced to the laws of exponents for simple powers and powers of 10. Algebra skills grow through simplifying expressions, expanding brackets, substitution, and solving one-step and two-step linear equations.
Measurement topics include perimeter and area of rectangles, triangles, and composite shapes, the volume of prisms, and metric unit conversions. Geometry skills deepen with angle types, angle relationships, and parallel line angle facts. Students also begin using Pythagoras’ Theorem for basic right-triangle problems. Data skills include interpreting bar, line, and stem-and-leaf graphs, and calculating mean, median, mode, and range, along with simple probability and sample spaces.
Year 8: Students extend their number skills into more advanced ideas, including integers, all operations with fractions and decimals, and percentage applications such as discounts, profit/loss, and percentage change. They are introduced to compound interest, direct and inverse proportion, the laws of exponents (including zero and negative indices), and scientific notation.
Algebra becomes deeper with simplifying expressions, expanding and factorising, evaluating formulas, solving multi-step linear equations, and working with linear relationships on the Cartesian plane. Measurement topics include perimeter and area of composite shapes, surface area and volume of prisms and cylinders, and unit conversions. Geometry work covers angle reasoning, transformations, congruence, Pythagoras’ Theorem, and introductory trigonometry with right triangles. Data skills include interpreting bar, line, stem-and-leaf, and dot plots, understanding scatterplots and correlation, and working with basic probability and sample spaces.
Across all these year levels, the goal is the same: to strengthen core maths skills, fill gaps early, and help students develop clear, confident problem-solving habits that support them throughout school.
Each student has a fixed weekly timeslot for live online lessons. We work through curriculum-specific worksheets, examples, and problem sets based on the student’s school work. Some students also prefer practising on IXL Australia, and I’m happy to guide them through the topics they should focus on there.
When a student gets stuck, I ask guiding questions that help them think through the problem instead of giving the answer immediately. For motivated learners, I also suggest how they can practise independently between lessons. Small-group lessons are available if students bring along a few friends at a similar level — I don’t form groups myself.
Want to see how a real lesson feels? Visit the Sample Lessons page to watch short clips from my live sessions with US students. You’ll see how each problem unfolds step by step — with guided questioning that helps students think independently rather than rely on quick answers.
To get a sense of how I teach, you can watch short clips on my Sample Lessons page. These videos show how I break down problems step by step and guide students with clear questioning.
Q: How are classes scheduled?
A: Each student has a fixed weekly timeslot — for example, Thursdays 6 PM – 7 PM — reserved just for them.
Q: Do you offer group sessions?
A: Yes, but only if a student brings some friends of a similar level. I don’t create groups myself.
Q: What materials do you use?
A: I use curriculum-aligned worksheets, examples, and problem sets, and I can also guide students who prefer practising on IXL Australia.
Q: Are sessions recorded?
A: Yes, sessions are recorded so students can revisit explanations whenever needed.
Q: Do you give homework?
A: I don’t assign formal homework. For motivated students, I suggest how they can practise independently between lessons or guide them on IXL topics.
If your child needs clearer explanations, stronger fundamentals, or steady support through the Australian Curriculum, a focused one-on-one lesson can make a real difference. Book a short trial session to see how guided questioning and step-by-step teaching can help your child feel more confident in maths.
Contact Me to Schedule a Free Trial Session