
Master Year 10 Mathematics with Confidence
Learning Journey
Build a solid foundation in key mathematical concepts and sharpen your problem-solving skills. Our Year 10 Maths program is developed and delivered by experienced educators, supported by comprehensive resources to help students excel in assessments and beyond.

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 : Simultaneous Equations, Quadratic Techniques, Properties of Geometrical Figures
Lesson 1: Quadratic Techniques – Factoring with Common Factors, Grouping & Difference of Squares
Lesson 2: Trinomials Made Easy – Factorising Step-by-Step
Lesson 3: Perfect Squares & Mixed Methods – Advanced Factorisation
Lesson 4: Simplifying Algebraic Fractions – Techniques and Practice
Lesson 5: Understanding Similarity – Tests and Triangle Calculations
Lesson 6: Transformations & Enlargements – Similar Figures and 3D Solids
Lesson 7: Surface Area Basics – Accuracy and Prisms
Lesson 8: Surface Area of 3D Shapes – Pyramids, Cones & Spheres
Lesson 9: Revision
Lesson 10: Topic Test
Term 2 : Trigonometric Ratios and Further Trigonometry
Lesson 1: Trig Review – SOH CAH TOA and Complementary Angle Ratios
Lesson 2: Trig in All Quadrants – Angles of Any Magnitude
Lesson 3: Trigonometric Graphs – Sine, Cosine and Tangent Curves
Lesson 4: Solving Trig Equations – Simple Techniques and Practice
Lesson 5: Sine Rule – Including the Ambiguous Case
Lesson 6: Cosine Rule – Plus Area of a Triangle Using Trig
Lesson 7: Bearings – Real-World Applications of Trigonometry
Lesson 8: 3D Trigonometry – Applying Trig in Three Dimensions
Lesson 9: Revision
Lesson 10: Topic Test
Term 3 : Curve Sketching, Non-Linear Relationships, Functions
Lesson 1: Probability Basics – Experimental vs Theoretical & Compound Events
Lesson 2: Advanced Probability – Complementary Events & Multistage Problems
Lesson 3: Understanding Variation – Rates of Change in Context
Lesson 4: Introduction to Logarithms – Evaluating and Using Log Laws
Lesson 5: Logarithmic Rules – Power Laws and Change of Base
Lesson 6: Exploring Functions – Notation, Relations, Even & Odd Functions
Lesson 7: Sketching Parabolas – Vertex Form and Key Features
Lesson 8: Transforming Parabolas – General Form and Graphical Changes
Lesson 9: Revision
Lesson 10: Topic Test
Term 4 : Polynomials and Logarithms
Lesson 1: Reverse Engineering Parabolas – Finding the Equation from a Graph
Lesson 2: Sketching Cubic Functions – Key Features and Shapes
Lesson 3: Circles and Semi-Circles – Graphing and Understanding Their Equations
Lesson 4: Exploring Exponential Curves and Hyperbolas – Graphing Non-Linear Functions
Lesson 5: Hyperbolas in Depth – Features and Transformations
Lesson 6: Transforming Graphs – Shifts, Stretches and Reflections
Lesson 7: Introduction to Polynomials – Definitions and Operations
Lesson 8: Polynomial Division – Remainder and Factor Theorems Explained
Lesson 9: Revision
Lesson 10: Topic Test
Syllabus
🔢 Numbers
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Real numbers and their properties
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Scientific notation and significant figures (extended applications)
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Index laws (including zero, negative, and fractional indices)
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Operations with surds and rationalising denominators (5.3 pathway)
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Financial mathematics (profit/loss, discounts, compound interest, loans)
📏 Measurement
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Surface area and volume of composite solids
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Time, rates, and unit conversions
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Scale drawings, bearings, and map reading
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Applications of Pythagoras’ Theorem
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Trigonometry: solving right-angled triangles, angles of elevation/depression (extended in 5.3)
📊 Statistics
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Data collection methods and reliability
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Displaying and interpreting data (histograms, box plots, scatter plots)
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Measures of central tendency and spread
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Bivariate data, correlation, and line of best fit (5.2 and 5.3)
🧮 Algebra
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Expanding, factorising, and simplifying algebraic expressions
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Solving linear, quadratic, and simultaneous equations
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Algebraic fractions and operations (5.2 and 5.3)
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Quadratic expressions, equations, and factorisation techniques
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Introduction to functions and their graphs
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Patterns, sequences, and algebraic generalisation
📐 Geometry
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Properties and classification of geometric figures
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Angle relationships and geometric proofs
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Congruence and similarity in two dimensions
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Deductive reasoning and formal proofs (5.3 pathway)
🎲 Probability
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Single and multi-step probability experiments
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Theoretical vs. experimental probability
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Venn diagrams, two-way tables, and probability rules
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Tree diagrams and conditional probability (5.3)




