What should a 17-year-old be learning?
At age 17, 171 topics open up across Science, Mathematics, Computing, English, Languages. Each one has prerequisites that come first, so the order matters more than the list: Electromotive Force, Internal Resistance and the Potential Divider is a typical starting point.
How do I know what a 17-year-old already knows?
LightMySky starts by assuming everything below the learner’s level is already known, then checks the assumption as they practise. What holds up stays lit; what does not comes back for review.
Science
- Electromotive Force, Internal Resistance and the Potential DividerEnergy · on the way
- Power as Force Times Velocity, and EfficiencyEnergy · on the way
- Elastic and Inelastic CollisionsForces & Motion · on the way
- Elastic Strain Energy and Force-Extension GraphsMatter & Materials · on the way
- Stress, Strain and the Young ModulusMatter & Materials · on the way
- Circular Motion: Angular Speed and Centripetal ForceForces & Motion · on the way
- Simple Harmonic Motion: the Defining Relation and Its GraphsForces & Motion · on the way
- Energy in Simple Harmonic Motion, Damping and ResonanceForces & Motion · on the way
- Orbits: Period, Speed and Kepler's Third LawSpace Systems & Earth's History · on the way
- Lattice Enthalpy and Born-Haber CyclesChemistry · on the way
- Entropy and the Spread of EnergyChemistry · on the way
- Free Energy and Whether a Reaction Is FeasibleChemistry · on the way
- Rate Equations and Orders of ReactionChemistry · on the way
- Reading Orders and Half-Lives from Rate GraphsChemistry · on the way
- Standard Electrode Potentials and Predicting Redox ReactionsChemistry · on the way
- Cells That Do Work: Batteries, Fuel Cells and CorrosionChemistry · on the way
- Redox Titrations with Manganate(VII) and ThiosulfateChemistry · on the way
- The Rate-Determining Step and Reaction MechanismsChemistry · on the way
- The Arrhenius Equation and Finding Activation EnergyChemistry · on the way
- Kp, Partial Pressures and Gas EquilibriaChemistry · on the way
- pH, Kw and Strong Acids and BasesChemistry · on the way
- Solubility Equilibria and When a Precipitate AppearsChemistry · on the way
- Transition Metals: Variable Oxidation State, Colour and CatalysisChemistry · on the way
- Complex Ions, Ligands and Their ShapesChemistry · on the way
- Weak Acids, Ka and pKaChemistry · on the way
- Buffers and Titration CurvesChemistry · on the way
- Metal Aqua Ions: Acidity, Ligand Exchange and PrecipitationChemistry · on the way
- Discharging a Capacitor and the Time ConstantEnergy · on the way
- Charged Particles Moving in a Magnetic FieldForces & Motion · on the way
- Magnetic Flux, Flux Linkage and Faraday's LawEnergy · on the way
- Lenz's Law and the Alternating-Current GeneratorEnergy · on the way
- Forcing, Feedback and Climate SensitivityEarth's Systems · on the way
- The Diffraction Grating and Measuring WavelengthWaves, Light & Sound · on the way
- Single-Slit Diffraction and the Limit of ResolutionWaves, Light & Sound · on the way
- Photon Energy and the ElectronvoltWaves, Light & Sound · on the way
- The Photoelectric Effect and the Work FunctionWaves, Light & Sound · on the way
- Energy Levels and Line SpectraWaves, Light & Sound · on the way
- de Broglie Waves and Electron DiffractionWaves, Light & Sound · on the way
- Mass, Energy and the Unified Atomic Mass UnitMatter & Materials · on the way
- Mass Defect and Binding Energy per NucleonMatter & Materials · on the way
- The Decay Constant and the Exponential Decay LawMatter & Materials · on the way
- Activity, Half-Life and Radioactive DatingMatter & Materials · on the way
- Energy Released in Fission and FusionMatter & Materials · on the way
- Particles, Antiparticles and AnnihilationMatter & Materials · on the way
- Quarks, Leptons and the Conservation LawsMatter & Materials · on the way
- Exchange Particles and Reading a Feynman DiagramMatter & Materials · on the way
- Aldehydes and Ketones: Nucleophilic Addition and the Tests That Separate ThemChemistry · on the way
- Carboxylic Acids, Esters and HydrolysisChemistry · on the way
- Amines and Amides: Basicity and the Nitrogen Functional GroupsChemistry · on the way
- Benzene: Delocalisation and Electrophilic SubstitutionChemistry · on the way
- Addition and Condensation PolymersChemistry · on the way
- Mass Spectra and Infrared: Identifying an UnknownChemistry · on the way
- NMR Spectra: Counting EnvironmentsChemistry · on the way
- Palaeoclimate: Ice Cores, Isotopes and the Record of Past ChangeEarth's Systems · on the way
- The Ocean in Motion: Wind-Driven Gyres and the Deep OverturningEarth's Systems · on the way
- Seawater Chemistry: Salinity, the Carbonate System and pHEarth's Systems · on the way
- The Carbon Cycle on Two TimescalesEarth's Systems · on the way
- Combining Uncertainties and Reading a Result off a GraphScientific Inquiry · on the way
- Enzyme Inhibition and Metabolic ControlOrganisms & Life Processes · on the way
- The Krebs Cycle and the Reduced CarriersOrganisms & Life Processes · on the way
- Oxidative Phosphorylation and ChemiosmosisOrganisms & Life Processes · on the way
- Anaerobic Routes and the ATP Yield ComparedOrganisms & Life Processes · on the way
- Ecosystem Energy Budgets: GPP, NPP and Transfer EfficiencyOrganisms & Life Processes · on the way
- Water Potential and Osmosis QuantifiedOrganisms & Life Processes · on the way
- Co-transport and Coupled Movement Across MembranesOrganisms & Life Processes · on the way
- Cell Cycle Checkpoints, Control and CancerOrganisms & Life Processes · on the way
- Conduction Speed: Myelination and the Refractory PeriodThe Human Body · on the way
- Haemoglobin, the Dissociation Curve and the Bohr ShiftThe Human Body · on the way
- Monoclonal Antibodies and What They Are Used ForThe Human Body · on the way
- Synaptic Transmission, Summation and InhibitionThe Human Body · on the way
- The Cardiac Cycle and Pressure in the HeartThe Human Body · on the way
- The Sliding Filament Model of Muscle ContractionThe Human Body · on the way
- Tissue Fluid and Its Return to the CirculationThe Human Body · on the way
- Ultrafiltration and Selective Reabsorption in the NephronThe Human Body · on the way
- Osmoregulation and the Action of ADHThe Human Body · on the way
- Cohesion-Tension and Water Movement in the XylemOrganisms & Life Processes · on the way
- Translocation and the Mass Flow HypothesisOrganisms & Life Processes · on the way
- Plant Growth Responses: Tropisms and the Hormones Behind ThemOrganisms & Life Processes · on the way
- The Nitrogen Cycle and the Microbes That Drive ItOrganisms & Life Processes · on the way
- Population Growth Curves and Carrying CapacityOrganisms & Life Processes · on the way
- Succession from Pioneer to Climax CommunityOrganisms & Life Processes · on the way
- Transcription Factors and Epigenetic ControlGenetics & Evolution · on the way
- Gene Mutations and Their ConsequencesGenetics & Evolution · on the way
- Dihybrid Crosses and the 9:3:3:1 RatioGenetics & Evolution · on the way
- Testing Genetic Ratios with Chi-squaredGenetics & Evolution · on the way
- The Hardy-Weinberg Principle and Allele FrequenciesGenetics & Evolution · on the way
- Recombinant DNA and Gene TransferGenetics & Evolution · on the way
- PCR, Electrophoresis and DNA ProfilingGenetics & Evolution · on the way
Mathematics
- Small Angle ApproximationsGeometry · on the way
- Conic Sections: Ellipse, Parabola and HyperbolaGeometry · on the way
- Polar Coordinates and Polar CurvesGeometry · on the way
- Hyperbolic Functions and Their InversesAlgebra · on the way
- Rational Functions, Asymptotes and Curve SketchingAlgebra · on the way
- The Imaginary Unit and Complex ArithmeticAlgebra · on the way
- The Argand Plane, Modulus and ArgumentAlgebra · on the way
- Euler's Formula and the Exponential FormAlgebra · on the way
- Roots of Polynomials and Roots of UnityAlgebra · on the way
- The Laws of LogarithmsAlgebra · on the way
- Solving Exponential Equations with LogarithmsAlgebra · on the way
- Straightening Data with Logarithmic GraphsAlgebra · on the way
- Arithmetic Series and Sigma NotationAlgebra · on the way
- Geometric Series and the Sum to InfinityAlgebra · on the way
- The Power Rule for Differentiating PolynomialsCalculus & Analysis
- The Derivative as a Rate of ChangeCalculus & Analysis
- Tangents and Normals to a CurveCalculus & Analysis
- Increasing and Decreasing FunctionsCalculus & Analysis
- Stationary Points and the Second DerivativeCalculus & Analysis
- Optimisation with CalculusCalculus & Analysis
- Integration as the Reverse of DifferentiationCalculus & Analysis
- Kinematics with CalculusMechanics
- Equilibrium and Newton's First LawMechanics · on the way
- Moments and the Equilibrium of a Rigid BodyMechanics · on the way
- Newton's Second Law: Force, Mass and AccelerationMechanics · on the way
- Friction and the Coefficient of FrictionMechanics · on the way
- Newton's Second Law in Two DimensionsMechanics · on the way
- Connected Particles and PulleysMechanics · on the way
- Motion on a Rough Inclined PlaneMechanics · on the way
- Projectile MotionMechanics · on the way
- The Definite Integral and the Area Under a CurveCalculus & Analysis · on the way
- Areas Between Two CurvesCalculus & Analysis · on the way
- Locating Roots and Iterative MethodsCalculus & Analysis · on the way
- The Newton-Raphson MethodCalculus & Analysis · on the way
- The Trapezium RuleCalculus & Analysis · on the way
- Proof by Deduction and ExhaustionMathematical Thinking · on the way
- Proof by Contradiction and CounterexampleMathematical Thinking · on the way
- Finding Probabilities and Values from a Normal ModelProbability · on the way
- Sampling Distributions and the Central Limit TheoremData & Statistics · on the way
- Setting Up a Hypothesis TestData & Statistics · on the way
- Testing a Binomial ProportionData & Statistics · on the way
- Correlation and the Product-Moment CoefficientData & Statistics · on the way
- The Regression Line and Making PredictionsData & Statistics · on the way
Computing
- Reading and Writing Files, Including CSVProgramming · on the way
- Exceptions: Raising, Catching and RecoveringProgramming · on the way
- Unit Tests: Deciding What Is Worth TestingProgramming · on the way
- Debugging as a Method: Reproduce, Isolate, FixProgramming · on the way
- The Project Arc: Building a Program in StagesProgramming · on the way
- Recursion and the Call StackAlgorithms & Data Structures · on the way
- Merge Sort and Divide and ConquerAlgorithms & Data Structures · on the way
- Trees and Binary Search TreesAlgorithms & Data Structures · on the way
- Graphs and How to Store ThemAlgorithms & Data Structures · on the way
- Breadth-First and Depth-First SearchAlgorithms & Data Structures · on the way
- Dijkstra's Shortest PathAlgorithms & Data Structures · on the way
- Network Layers and the Protocol StackComputer Systems · on the way
- IP Addressing and How Routers Choose a PathComputer Systems · on the way
- Relational Databases: Tables, Keys and RelationshipsComputer Systems · on the way
- Normalisation to Third Normal FormComputer Systems · on the way
- SQL: Selecting, Filtering and Ordering RowsComputer Systems · on the way
- SQL: Joining Tables and Summarising GroupsComputer Systems · on the way
- Finite State Machines and What They RecogniseAlgorithms & Data Structures · on the way
- Turing Machines and the Universal MachineAlgorithms & Data Structures · on the way
- The Halting Problem: A Task No Program Can DoAlgorithms & Data Structures · on the way
English
- Genre as a Set of ExpectationsReading Comprehension · on the way
- Tragedy: The Shape of the FallReading Comprehension · on the way
- Reading Through a Critical LensReading Comprehension · on the way
- Arguing With Published CriticismReading Comprehension · on the way
- Comparing Whole Texts Around a QuestionReading Comprehension · on the way
- Working an Unseen Text Against the ClockReading Comprehension · on the way
- Reading Beyond the Set TextsEnglish Thinking · on the way
- Attitudes to Language ChangeVocabulary · on the way
- Language and Power in Public DiscourseVocabulary · on the way
- Child Language: How Speech DevelopsSpeaking & Listening · on the way
- Discourse Analysis: How Conversation Is OrganisedSpeaking & Listening · on the way
- Framing a Research QuestionEnglish Thinking · on the way
- Gathering and Transcribing Language DataSpeaking & Listening · on the way
- Building a Source Base for a Long EssayWriting Composition · on the way
- Signposting and Sections in a Long EssayWriting Composition · on the way
- Revising at LengthWriting Composition · on the way
Languages
- Variation Inside One LanguageTexts, Media & Translation · on the way
- Writing for an Academic or Professional ReaderLanguage Learning · on the way
- Learning the Next Language FasterLanguage Learning · on the way
- Keeping a Language for LifeLanguage Learning · on the way