Basque PAU Technical Drawing II study plan
Basque PAU Technical Drawing II · Give each week a clear focus.
8 weeks · About 6 hours per week
Plane geometry: geometric constructions, conics, tangencies and transformations
Construct perpendiculars, parallels, angle bisectors and standard angles using only compass and straightedge, stating the construction steps in writing for each exercise.
Solve at least six tangency problems (line-circle, circle-circle, circle passing through a point and tangent to two lines) and justify the locus reasoning used to locate each tangency point.
Draw the three conic types from their focus-directrix or focal definitions, labelling foci, axes, directrices and asymptotes correctly.
Determine the tangent and normal to an ellipse, parabola and hyperbola at a given point using the focal property.
Your checkpoint
A 12-sheet construction portfolio: six tangency problems and six conic constructions, each with written step-by-step reasoning and correct construction-line notation.
Plane geometry: geometric constructions, conics, tangencies and transformations & Dihedral projection: true magnitudes, rotations and changes of plane
Apply homothety, translation, rotation and inversion to transform a given figure, keeping the transformation parameters explicit on the sheet.
Solve true-shape problems by auxiliary rotation and by change of plane, and compare which method is shorter for each case.
Obtain the true magnitude of a segment and the true angle it forms with the projection planes in both dihedral planes.
Convert a general-position plane into a projecting plane using a single change of plane and verify the result by rotation.
Your checkpoint
A comparison sheet of eight true-magnitude problems, each solved by two methods (rotation and change of plane) with a short written verdict on which is more efficient.
Descriptive geometry: point, line and plane systems, intersections, parallelism and perpendicularity
Determine the point of intersection of a line and a plane, and the intersection line of two planes, in general position, showing visibility criteria.
Construct a line perpendicular to a plane through a given point and a plane perpendicular to a line through a given point.
Draw parallel and perpendicular relationships between lines and planes in both projection planes, checking each with the appropriate theorem.
Resolve at least four mixed exercises combining intersection, perpendicularity and distance from a point to a plane.
Your checkpoint
A ten-exercise worksheet on line-plane incidence and perpendicularity, all solved in dihedral projection with correct notation and a short justification per exercise.
Descriptive geometry: point, line and plane systems, intersections, parallelism and perpendicularity & Dihedral projection: true magnitudes, rotations and changes of plane
Compute the true distance from a point to a line and between two skew lines using change of plane or rotation.
Determine the true angle between two planes and between a line and a plane by projecting onto an auxiliary plane.
Apply successive changes of plane (two or more) to bring an oblique plane into a plane parallel to a projection plane.
Verify every true-magnitude result with a second independent method and record any discrepancy.
Your checkpoint
A timed 90-minute mock section on dihedral projection true magnitudes (distances and angles), self-marked against a written rubric.
Descriptive geometry: solids, surfaces, sections and developments
Draw the section of a polyhedron and of a cylinder/cone by an oblique plane, marking all section vertices and hidden edges.
Obtain the true shape of a section by change of plane and unfold it as a development for at least two solids.
Develop the lateral surface of a truncated prism, cylinder, pyramid and cone, including the truncation curve.
Draw the intersection curve of two solids of revolution (cylinder-cylinder, cone-cylinder) by the auxiliary-sphere or auxiliary-plane method.
Your checkpoint
A solid-geometry portfolio of six sheets: two polyhedron sections with true shape, two developments of truncated solids, and two intersection curves with construction lines.
Axonometric and perspective representation (isometric, cavalier, conical) & Normalized technical drawing: multi-view projection, cuts, sections and dimensioning
Build isometric, cavalier and cabinet axonometric projections of the same object, applying the correct axis coefficients and reduction factors.
Draw a one-point and a two-point conical perspective of a simple industrial object, locating the horizon, station point and measuring points correctly.
Produce a complete multi-view drawing (front, top, side) of an object with a cut and a section, applying the correct hatching and cutting-plane indications.
Dimension the multi-view drawing following normalized conventions: dimension lines, arrows, tolerances, radii, diameters and symmetry marks.
Your checkpoint
A single A3 sheet containing an isometric view, a two-point perspective and a fully dimensioned multi-view drawing with one cut of the same industrial part.
Normalized technical drawing: multi-view projection, cuts, sections and dimensioning & Graphical analysis of forms and artistic/industrial design applications
Redraw a supplied object applying correct line hierarchies (visible, hidden, centre, cutting-plane) and normalized sheet layout with title block.
Analyse an industrial or artistic design object and break it down into primitive geometric forms and their spatial relationships.
Produce three sketch alternatives for a simple product form, annotating the geometric reasoning behind each.
Check a drawing against normalization criteria and list every non-conformity found.
Your checkpoint
A normalized drawing set of two objects plus a one-page graphical analysis of an industrial design object, with sketches and written geometric rationale.
Sketching, accuracy and graphical communication of solutions & Plane geometry: geometric constructions, conics, tangencies and transformations & Descriptive geometry: point, line and plane systems, intersections, parallelism and perpendicularity & Descriptive geometry: solids, surfaces, sections and developments
Complete two full timed mock exams under PAU conditions (duration and format), covering all domains in the official weighting.
Sketch solutions freehand before instrument drawing, and reduce construction time per exercise by at least 20 percent compared with week 3.
Self-mark both mocks against a written rubric covering accuracy, notation, construction-line clarity and completeness, and list the five most frequent errors.
Redraw the three weakest exercises from the mocks with corrected construction sequences and written explanations.
Your checkpoint
Two completed timed mock exams with self-assessment rubrics, an error log of recurring mistakes and three corrected redraws.
Milestones
Week 2: Can solve a tangency and a conic tangent/normal problem without notes, and can obtain the true magnitude of a segment by both rotation and change of plane.
Week 4: Scores at least 70 percent on the timed dihedral true-magnitude mock, with every distance and angle verified by a second method.
Week 6: Produces a correctly dimensioned multi-view drawing with a cut, plus a coherent isometric and perspective view of the same part, within the time limit.
Week 8: Completes both full mock exams within the official time, with a self-marked score above the pass threshold and a written error log of recurring mistakes.