Exemplar VaultAuthentic Grade 7 & Grade A Work • 2025 Curriculum
IA & EE 7/7 Exemplar Vault
Deconstructed maximum-scoring Internal Assessments and authentic 4,000-word Grade A Extended Essays from Sevenoaks School with full senior examiner rationales, criterion score rubrics, and in-browser PDF readers.
[AVAILABLE_EXEMPLARS: 12]Click to examine rubric & read
HL EEMathematics AA
PDF In-Book★ 34 / 34 (Grade A)
A Vector Approach to 3D Reconstruction from Multiple 2D Views
How can vector algebra and projective camera matrices be utilized to construct an algorithm capable of reconstructing 3D spatial coordinates from multiple 2D camera perspectives, as validated via a Rubik's Cube demonstration in Wolfram Mathematica?
3980 words • SevenoaksExamine Rubric
HL IAMathematics AA
★ 20 / 20
Numerical Modeling of Epidemic Dynamics using Modified SIR Differential Equations
How accurately can a discretized Susceptible-Infectious-Recovered (SIR) coupled differential equation model predict the trajectory of influenza infection rates when parameterized via fourth-order Runge-Kutta (RK4) numerical integration?
3950 words Examine Rubric
HL EEChemistry
PDF In-Book★ 33 / 34 (Grade A)
Are Chinese Medicines Safe? Heavy Metals in Patent Herbal Medicines
To what extent do commercially available Chinese patent herbal medicines exceed World Health Organization (WHO) and Chinese Pharmacopoeia safety thresholds for toxic heavy metals (lead, arsenic, mercury) when analyzed via Inductively Coupled Plasma Optical Emission Spectroscopy (ICP-OES) and mercury sulfide precipitation?
3950 words • SevenoaksExamine Rubric
HL IAPhysics
★ 24 / 24
Temperature Dependence of Dynamic Viscosity in Newtonian Liquids via Stokes' Law
How does the temperature of analytical grade glycerol (278 K to 348 K) affect its dynamic viscosity, as determined by the terminal velocity of precision steel spheres and evaluated against the Andrade and Vogel-Fulcher-Tammann (VFT) models?
2980 words Examine Rubric
HL EEBiology
PDF In-Book★ 34 / 34 (Grade A)
Canopy Stratification & Tree Use in Propithecus Coquereli in Northwest Madagascar
To what extent are Coquerel's sifakas (Propithecus coquereli) selective in their tree use based on tree height and crown volume in the dry deciduous forest of Mariarano, Northwest Madagascar, and what are the conservation implications for this critically endangered species?
3970 words • SevenoaksExamine Rubric
HL EEEconomics
PDF In-Book★ 33 / 34 (Grade A)
Depreciation of the Indian Rupee against the US Dollar and US Federal Reserve Tapering
To what extent can the sharp depreciation of the Indian rupee against the U.S. dollar, from 22nd May 2013 to the end of 2013, be attributed to US Federal Reserve monetary policy announcements regarding Quantitative Easing tapering?
3990 words • SevenoaksExamine Rubric
HL EEVisual Arts
PDF In-Book★ 34 / 34 (Grade A)
Architecture of the Jin Mao Tower: Chinese vs. Western Influences
Do the design and appearance of the Jin Mao Tower in Shanghai draw more heavily on traditional Chinese architectural paradigms or Western International Style skyscraper influences?
3950 words • SevenoaksExamine Rubric
HL IAChemistry
★ 23 / 24
Spectrophotometric Determination of Activation Energy in the Peroxydisulfate-Iodide Reaction
What is the activation energy of the oxidation of iodide ions by peroxydisulfate (S2O8^2- + 2I- -> 2SO4^2- + I2) when determined spectrophotometrically via triiodide absorbance at 350 nm across 293 K to 328 K?
3100 words Examine Rubric
HL IABiology
★ 23 / 24
Quantitative Plasmolysis & Water Potential in Allium Cepa Epidermal Cells
How does increasing sodium chloride solute concentration (0.0 M to 1.0 M) quantitatively alter the incipient plasmolysis percentage and computed internal water potential of red onion (Allium cepa var. aggregatum) inner epidermal cells?
2850 words Examine Rubric
HL IAEconomics
★ 43 / 45
Evaluating the Microeconomic Effectiveness of Singapore’s Carbon Tax Escalation on Industrial Emissions
To what extent does Singapore’s carbon tax increase from $5 to $25 per tonne of CO2e incentivize technological abatement among large industrial emitters while avoiding carbon leakage?
2380 words Examine Rubric
HL IAHistory
★ 24 / 25
Von Moltke’s Modifications and the Failure of the Schlieffen Plan in 1914
To what extent were Helmuth von Moltke the Younger's tactical modifications the primary cause for the failure of the German Schlieffen Plan at the Battle of the Marne in September 1914?
How does varying plate boundary geometry (square vs. circular) and thickness influence the resonant eigenfrequencies and nodal line distributions of fine silica particles on vibrated aluminum plates as predicted by the Kirchhoff-Love plate theory?
3980 words Examine Rubric
Mathematics AA • HL EEOfficial Mark: 34 / 34 (Grade A) (Grade A)Sevenoaks School Prized Writing Collection (p. 123)
A Vector Approach to 3D Reconstruction from Multiple 2D Views
Formal Research Question (RQ)
"How can vector algebra and projective camera matrices be utilized to construct an algorithm capable of reconstructing 3D spatial coordinates from multiple 2D camera perspectives, as validated via a Rubik's Cube demonstration in Wolfram Mathematica?"
Investigation Summary & Approach
A published Sevenoaks School Extended Essay formulating a complete photogrammetry algorithm from first principles. Formalizes the pinhole camera projection matrix, derives epipolar geometry lines, uses vector cross products to establish ray coplanarity, and tests reconstruction precision against a physical Rubik's Cube with Wolfram Mathematica code.
Crisp research question with immediate practical relevance to computer vision. Rigorous mathematical formulation from base cases to general 3D reconstruction.
Crit B
Knowledge and Understanding
6 / 6
Exceptional grasp of linear algebra, matrix transformations, and 3D coordinate systems extending significantly beyond syllabus limits.
Crit C
Critical Thinking
12 / 12
Superb analysis of error propagation caused by pixel quantization and optical lens distortion when matching 2D feature coordinates.
Crit D
Presentation
4 / 4
Flawless academic typography, vector ray diagrams, numbered equations, and complete commented Mathematica script in the appendix.
Crit E
Engagement (RPPF)
6 / 6
Supervisor noted profound personal passion and resilience: started from dense computer vision papers and successfully developed an accessible base-case model.
SENIOR EXAMINER RATIONALE (WHY THIS SCORED TOP BAND)
Sevenoaks School Prized Extended Essay 2015. Supervisor Charley Openshaw & Senior Examiner praised this paper as an exemplary synthesis of rigorous vector mathematics and creative algorithmic implementation.
COMMON STUDENT PITFALLS AVOIDED IN THIS WORK
Avoided black-box photogrammetry software—built the complete vector transformation equations from scratch.
Did not ignore real-world sensor inaccuracies: quantified pixel coordinate measurement uncertainty.
Maintained clear narrative flow between mathematical derivations and physical Rubik's cube empirical tests.
Aligned to current IBDP Assessment Guides • 3D Vectors & Line Geometry (AA HL)
