Study Material & Learning Resources

Chapter-Based Online Mathematics Coaching

Lumens offer flexible, chapter-based online mathematics coaching for NSW Year 9 students. Students can enrol in individual topics instead of committing to the complete syllabus, allowing them to focus on areas where they need additional support, revision or exam preparation.

Learn. Practice. Revise. Improve.

Access structured learning resources designed to support your classes, revision, assessments and exam preparation.

01

Fractions, Decimals &
Percentages

Converting, comparing, calculating and applying fractions, decimals and percentages

02

Ratios & Rates

Ratios, rates, unit rates, proportional reasoning and applications

03

Financial
Mathematics

Percentages, discounts, profit & loss, interest and financial calculations

04

Solving Linear
Equations

Simplifying expressions, solving equations and applying equations to problems

05

Indices

Index laws, simplifying expressions and working with powers

06

Surds

Simplifying surds, operations with surds and applying surd rules

07

Linear Graphs

Plotting lines, gradient, intercepts and interpreting linear graphs

08

Pythagoras’ Theorem

Finding unknown sides and solving right-triangle problems

09

Cartesian Plane

Coordinates, plotting points, quadrants and reading the Cartesian plane

10

Area, Perimeter &
Volume

Calculating area, perimeter and volume of common 2D and 3D shapes

11

Angles & Geometry

Angle relationships, geometric properties and solving angle problems

12

Coordinate Geometry

Coordinates, gradient, distance and relationships between points and lines

13

Transformations

Reflection, rotation, translation and enlargement

14

Statistics

Mean, median, range, data interpretation and comparison

15

Probability

Probability of events, likelihood, outcomes and probability calculations

What's Included

NameDescriptionBuy
Fractions, Decimals & PercentagesConverting, comparing, calculating and applying fractions, decimals and percentages. Course Duration: 3 weeks
Ratios & RatesRatios, rates, unit rates, proportional reasoning and applications Course Duration: 3 weeks
Financial MathematicsPercentages, discounts, profit & loss, interest and financial calculations Course Duration: 4 weeks
Solving Linear EquationsSimplifying expressions, solving equations and applying equations to problems Course Duration: 3 weeks
IndicesIndex laws, simplifying expressions and working with powers Course Duration: 2 weeks
SurdsSimplifying surds, operations with surds and applying surd rules Course Duration: 2 weeks
Linear GraphsPlotting lines, gradient, intercepts and interpreting linear graphs Course Duration: 2 weeks
Pythagoras' TheoremFinding unknown sides and solving right-triangle problems Course Duration: 2 weeks
Cartesian PlaneCoordinates, plotting points, quadrants and reading the Cartesian plane Course Duration: 2 weeks
Area, Perimeter & VolumeCalculating area, perimeter and volume of common 2D and 3D shapes Course Duration: 4 weeks
Angles & GeometryAngle relationships, geometric properties and solving angle problems Course Duration: 2 weeks
Coordinate GeometryCoordinates, gradient, distance and relationships between points and lines Course Duration: 3 weeks
TransformationsReflection, rotation, translation and enlargement Course Duration: 3 weeks
StatisticsMean, median, range, data interpretation and comparison Course Duration: 2 weeks
ProbabilityProbability of events, likelihood, outcomes and probability calculations Course Duration: 3 weeks