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Math and Geometry Tools

Master Year 11 Mathematics Standard with Confidence

 Learning Journey

Build a solid foundation in key mathematical concepts and sharpen your problem-solving skills. Our Year 11 Maths Standard program is developed and delivered by experienced educators, supported by comprehensive resources to help students excel in assessments and beyond.

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Course Structure

Targeted Academic Support Aligned with School Curriculum

While the course structure outlines the general topics covered each term, we go a step further by offering small group sessions made up of students from the same school. This allows us to align our support closely with the specific topics being taught in their classrooms. Our sessions reinforce school learning, help students stay on track, and build their confidence—especially as they prepare for exams. We also provide personalised guidance tailored to each student’s individual exam preparation needs.

Term 1 : Arithmetic, Formulae and Equations, Decimals and Percentages

Lesson 1: The Number Line, Word Problems & BODMAS - Understand number placement, solve real-world problems, and apply the correct order of operations.

Lesson 2: Index Notation & Fractions - Use index laws and work confidently with fractions in various forms.

Lesson 3: Multiplying & Dividing Fractions - Apply strategies to multiply and divide fractions in practical contexts.

Lesson 4: Solving Simple Linear Equations & Using Formulae - Solve basic equations and substitute values into formulae to find unknowns.

Lesson 5: Problem Solving with Equations - Use algebraic equations to model and solve everyday problems.

Lesson 6: Working with Decimals & Percentage Conversions - Perform calculations with decimals and convert between fractions, decimals, and percentages.

Lesson 7: Percentage Composition & Applications - Calculate percentage parts and apply percentages in financial and real-life contexts.

Lesson 8: Unitary Method & Problem Solving - Use the unitary method to solve proportional problems and apply it in practical scenarios.
Lesson 9: Revision

Lesson 10: Topic Test

Term 2 : Working with Time, Financial Mathematics, Probability

Lesson 1: Expressions of Time & Time Calculations - Convert between time units and perform calculations involving elapsed time and schedules.

Lesson 2: Time Zones & Timetables - Interpret and calculate time differences across time zones and read transport timetables.

Lesson 3: GST, Best Buys, Discounts, Savings & Profit/Loss - Apply percentage calculations to real-life financial contexts including shopping and business.

Lesson 4: Earnings & Extra Payments - Calculate wages, overtime, commissions, and other forms of income.

Lesson 5: Net Pay, Taxable Income & Tax Obligations - Understand income tax, Medicare levy, and how to calculate net pay from gross income.

Lesson 6: Budgeting, Expenses & Buying a Car - Create personal budgets, manage household expenses, and explore the costs of car ownership.

Lesson 7: Describing Chance & Random Experiments - Use language of probability to describe outcomes and conduct simple random experiments.

Lesson 8: Two-Stage Probability Experiments
Explore compound events and calculate probabilities using tree diagrams and tables.

Lesson 9: Revision

Lesson 10: Topic Test

Term 3 : Measurement and Data Analysis

Lesson 1: Circles - Explore the properties of circles and apply formulas to calculate circumference and area.

Lesson 2: Area of Plane Shapes & Surface Area - Calculate the area of composite shapes and determine the surface area of 3D objects.

Lesson 3: Volume, Accuracy & Capacity - Work with volume of solids, understand limits of accuracy, use metric prefixes, and convert between units of capacity.

Lesson 4: Significant Figures, Scientific Notation & Energy Use - Round numbers to significant figures, use scientific notation, and apply these skills to food and energy consumption data.

Lesson 5: Classifying & Representing Data (Dot Plots, Stem-and-Leaf Plots)
Organise and display data using appropriate graphical methods for small data sets.

Lesson 6: Data Displays (Frequency Tables, Histograms, Pareto Charts) - Construct and interpret frequency distributions and visualise data using histograms and Pareto charts.

Lesson 7: Central Tendency, Spread & Outliers - Calculate and interpret mean, median, mode, range, and identify outliers in data sets.

Lesson 8: Describing & Comparing Data Sets - Analyse and compare data using summary statistics and graphical representations.

Lesson 9: Revision

Lesson 10: Topic Test

Term 4 : Linear and Non-Linear Relationships

Lesson 1: Graphs of Straight Lines & Gradient-Intercept Form - Plot straight-line graphs using the gradient-intercept form and interpret their features.

Lesson 2: General, Point-Gradient & Two-Point Forms; Collinear Points - Use various forms of linear equations to model relationships and determine collinearity.

Lesson 3: Solving Simultaneous Equations - Solve systems of linear equations algebraically and graphically.

Lesson 4: Applications of Linear Relationships - Apply linear models to real-world problems and interpret solutions in context.

Lesson 5: Exploring Exponential Curves - Recognise and sketch exponential graphs and understand their growth/decay behaviour.

Lesson 6: Understanding Hyperbolas - Identify and graph hyperbolic relationships and interpret their features.

Lesson 7: Quadratic Functions - Explore the shape and features of parabolas and solve quadratic equations graphically.

Lesson 8: Revision

Lesson 9: Topic Test

Lesson 10:Full-Year Review Exam

 Syllabus 

🔢 Number and Algebra

  • Financial mathematics: earning, taxation, budgeting, loans, and investments

  • Algebraic techniques: formulas, substitution, rearranging equations

  • Linear and non-linear relationships: interpreting and graphing real-world data

  • Simultaneous equations and inequalities in practical contexts

📊 Statistics

  • Data collection methods and reliability

  • Organising and displaying data: tables, graphs, and summary statistics

  • Measures of central tendency and spread

  • Comparing data sets and interpreting statistical results

  • Evaluating claims using statistical evidence

📈 Networks and Matrices

  • Introduction to networks: paths, circuits, and traversability

  • Applications of networks in scheduling and planning

  • Matrices: operations and applications in real-world contexts (e.g., population growth, finance)

📏 Measurement

  • Units of measurement and conversions

  • Perimeter, area, and volume of composite shapes

  • Applications of Pythagoras’ Theorem and trigonometry in real-life contexts

  • Time calculations, including time zones and timetables

  • Rates and ratios in everyday situations

🎲 Probability

  • Basic probability concepts and language

  • Single and multi-step experiments

  • Relative frequency and expected outcomes

  • Risk assessment and decision-making using probability

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