This GeoGebra companion maps directly to Chapters 1–16 of the Cambridge Student Book 2 (Year 2). Each chapter contains short, interactive GeoGebra investigations that mirror the textbook topics so students can explore definitions, transform graphs, test proofs, visualise calculus, and model applications dynamically.
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[*][b]Proof and mathematical communication [/b]— GeoGebra constructions and dynamic diagrams to illustrate proofs, generate counterexamples, and practise communicating reasoning.
[*][b]Functions [/b]— interactive mappings, domain/range sliders, inverse/composite function visualisers.
[*][b]Further transformations of graphs [/b]— combined translations, stretches/reflections with parameter sliders and step-through animations.
[*][b]Sequences and series [/b] — animated sequence generation, partial-sum plots, and convergence visualisations.
[*][b]Rational functions and partial fractions[/b] — asymptotes, removable holes, and dynamic decomposition into partial-fraction pieces.
[*][b]General binomial expansion[/b] — coefficient visualisers, series expansion explorer, and approximation demonstrations.
[*][b]Radian measure [/b]— unit-circle interactives linking radians, arc length and trig values; angle-to-coordinate mapping.
[*][b]Further trigonometry [/b]— dynamic trig-identity verifiers, sum/difference formula visualisations and waveform manipulations.
[*][b]Calculus of exponential and trigonometric functions [/b]— differentiation/integration demonstrations for exp & trig functions with live tangent/area displays.
[*][b]Further differentiation[/b] — higher derivatives, stationary points and inflection-point explorers with curvature/concavity sliders.
[*][b]Further applications of calculus [/b]— optimisation, kinematics and area/volume modelling built from interactive parameters.
[*][b]Further integration techniques [/b]— substitution, parts and partial-fractions integration illustrated and compared with numerical approximations.
[*][b]Differential equations [/b] — slope fields, families of solution curves, and parameter-driven modelling (separable equations).
[*][b]Numerical solutions of equations [/b]— root-locating tools: bisection, Newton–Raphson, fixed-point iterations with visual convergence diagnostics.
[*][b]Numerical integration [/b]— trapezium rule and error visualisations with adjustable partitioning.
[*][b]Applications of vectors [/b] — 2-D motion, position/velocity vectors, and geometric/vector proofs with dynamic components.
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