Castilla-La Mancha PAU General Sciences (Ciencias Generales - UCLM 2026) study plan
Castilla-La Mancha PAU General Sciences (Ciencias Generales - UCLM 2026) · Give each week a clear focus.
8 weeks · About 6 hours per week
Scientific methodology, measurement and data analysis (metodología científica, magnitudes, unidades, errores, tratamiento de datos) & Matter and its properties: structure of matter, chemical bonding, states of matter and changes (materia y sus propiedades)
Convert between SI units and prefixes (km, cm, nm, mA, kPa, kJ) for 40 mixed quantities without error
Distinguish systematic from random error and express any measurement result as value ± absolute error with correct significant figures
Calculate mean, standard deviation and relative error for a small data set and decide whether an outlier is discardable
Describe the atomic models of Thomson, Rutherford and Bohr and identify which experimental evidence supported each
Classify a given substance as element, compound or mixture and justify by its separation method
Your checkpoint
A one-page lab-style report (in Spanish) on a self-designed measurement (e.g. timing a falling object or measuring a liquid's density) including units, error propagation, a data table and a graph with correctly labelled axes
Matter and its properties: structure of matter, chemical bonding, states of matter and changes (materia y sus propiedades) & Chemical reactions and energy changes: stoichiometry, thermodynamics, kinetics and equilibrium (reacciones químicas y energía)
Draw Lewis structures and predict geometry and polarity for at least 10 simple molecules (H2O, NH3, CO2, CH4, HCl)
Explain the four types of intermolecular forces and use them to rank boiling points of given substances
Interpret a phase diagram and a heating curve, identifying melting, boiling and triple points
Balance 15 chemical equations, including combustion and acid-base neutralisation, and classify each reaction type
Calculate molar mass and convert among mass, moles and number of particles for 10 substances
Your checkpoint
A solved problem set of 20 stoichiometry exercises with full working, plus a hand-drawn phase diagram of water annotated in Spanish explaining each region and the anomalous behaviour of ice
Chemical reactions and energy changes: stoichiometry, thermodynamics, kinetics and equilibrium (reacciones químicas y energía)
Apply Hess's law and standard enthalpies of formation to calculate the enthalpy change of two reactions
Distinguish exothermic from endothermic processes and sketch their energy profiles with and without a catalyst
State the factors that shift a chemical equilibrium (Le Chatelier) and predict the direction of shift for 8 stated changes
Calculate reaction rates qualitatively from concentration-time data and explain the effect of temperature, concentration and surface area
Solve limiting-reagent and percentage-yield problems for 5 reactions
Your checkpoint
A written explanation in Spanish (about 300 words) of why a real industrial process (e.g. the Haber process or the contact process) chooses its temperature, pressure and catalyst, supported by equilibrium and kinetic reasoning and at least one enthalpy calculation
Motion, forces and energy in mechanical systems (movimiento, fuerzas y energía)
Solve 15 kinematics problems (MRU, MRUA, free fall) selecting the correct equation and checking units
Draw and interpret free-body diagrams and apply Newton's second law to inclined planes and pulley systems
Calculate work, kinetic energy, potential energy and mechanical power in 10 situations, verifying conservation of energy
Distinguish elastic from inelastic collisions and apply conservation of momentum to simple cases
State the universal law of gravitation and compute the weight and orbital speed of a body around the Earth
Your checkpoint
A timed 60-minute mock exam section on Domains 1-4 (about 10 questions) self-marked against a rubric you write, with a list of every error type and the correction for each
Electricity, magnetism, waves and optics (electricidad, magnetismo, ondas y óptica) & Motion, forces and energy in mechanical systems (movimiento, fuerzas y energía)
Apply Ohm's law and series/parallel resistor rules to 10 circuits, computing equivalent resistance, current and power
Describe the magnetic field of a current-carrying wire and a solenoid, and state Faraday's law of induction qualitatively
Distinguish longitudinal from transverse waves and label amplitude, wavelength, frequency and period on a given wave
Solve 8 problems using v = λf and the law of reflection/refraction, including Snell's law and total internal reflection
Locate the image formed by a converging lens using ray diagrams and the thin-lens equation
Your checkpoint
A two-part summary sheet: one side with circuit formulas and two fully worked circuits, the other with optics ray diagrams and three solved refraction problems, all with units and sign conventions stated
The Earth and its environment: geology, atmosphere, hydrosphere and environmental processes (la Tierra y el medio ambiente) & Science, technology and society: applications, sustainability and scientific literacy (ciencia, tecnología y sociedad)
Describe the internal structure of the Earth and the evidence (seismic waves, density) supporting the layered model
Explain plate tectonics and relate two types of plate boundary to their characteristic seismic or volcanic hazards
Outline the water cycle and the composition and layers of the atmosphere, naming two human impacts on each
Interpret a simple climate or population data table and describe a trend without overclaiming causation
Evaluate one renewable and one non-renewable energy source against cost, availability and environmental impact
Your checkpoint
A 400-word argumentative text in Spanish on a local Castilla-La Mancha environmental issue (e.g. groundwater in La Mancha or solar-farm land use), citing at least three facts and separating evidence from opinion
Living organisms and their functions: cell biology, genetics, evolution and ecology (los seres vivos y sus funciones)
Label the main organelles of an animal and a plant cell and state the function of each
Distinguish mitosis from meiosis by outcome, chromosome number and purpose
Solve 8 monohybrid and dihybrid genetics problems using Punnett squares and state genotype and phenotype ratios
Explain natural selection with a concrete example and distinguish it from Lamarckism
Describe the trophic levels of an ecosystem and construct a simple food web with energy flow
Your checkpoint
A genetics problem portfolio of 10 solved crosses, each annotated in Spanish with the reasoning step, plus a one-page diagram of a food web with arrows and energy-loss explanation
Scientific methodology, measurement and data analysis (metodología científica, magnitudes, unidades, errores, tratamiento de datos) & Science, technology and society: applications, sustainability and scientific literacy (ciencia, tecnología y sociedad)
Review every error logged during weeks 1-7 and re-solve each missed question correctly without notes
State the steps of the scientific method applied to one experimental design, identifying variables, control and hypothesis
Discuss one scientific-technological controversy (e.g. gene editing or nuclear energy) giving arguments on both sides
Complete two full past-paper style mock exams under timed conditions and score them
Build a one-page formula and definition sheet covering all eight domains
Your checkpoint
A complete timed mock exam (all eight domains) scored and corrected, plus a final one-page formula sheet and a ranked list of the three weakest topics with a revision action for each
Milestones
Week 2: You can convert units, report a measurement with its error and correct significant figures, balance any equation and solve mass-mole problems without consulting notes
Week 4: You score at least 60% on your self-marked mock section for Domains 1-4 and can explain every wrong answer aloud in Spanish
Week 6: You can solve a circuit and a lens problem back to back in under 15 minutes, and you have written the environmental argument with clearly separated evidence and opinion
Week 8: You complete the full timed mock exam within the time limit, score at least 65%, and your error log shows each previously missed topic re-solved correctly