Extremadura PAU Technical Drawing Applied to Plastic Arts and Design II study plan

Construct ellipses, parabolas and hyperbolas from their defining focus/directrix and focal properties, labelling foci, axes, vertices and asymptotes on each drawing.

Solve at least six tangency problems (line-to-circle, circle-to-circle, line-to-conic) using the locus-of-centres method, and justify each construction step in writing.

Apply homothety and inversion reasoning to reduce a tangency case to a known standard case, and record the reduction in a step list.

Draft a one-page personal reference sheet of construction procedures for conics and tangencies, in your own words and notation.

Construct the intersection point of a line and a plane by the auxiliary-plane method, and verify the result by the change-of-viewpoint or double-projection check.

Determine the intersection line of two planes given in mixed representation (traces, projected points, or a defined polygon), including the case of parallel traces.

Draw the apparent contour and visibility (solid/dashed) of a line piercing a plane in first-angle projection, keeping line weights consistent.

Time yourself on three multi-step intersection problems and log where you lost time or made projection errors.

Establish parallelism between lines and planes, and between two planes, in projection, and prove each condition with a short written argument.

Construct perpendicularity: a line perpendicular to a plane, a plane perpendicular to a plane, and the common perpendicular to two skew lines.

Compute and construct true lengths of segments and true shapes of planar sections using auxiliary views and rotation about an axis parallel to a projection plane.

Solve at least two distance problems (point-to-plane, point-to-line) and confirm the numeric result against a scaled measurement on the drawing.

Draw the section of a prism, pyramid, cylinder and cone by an oblique plane, identifying the true shape of each section via auxiliary projection.

Construct the development (unfolding) of a truncated prism, a truncated cylinder and an oblique cone, and check that the development closes correctly.

Determine the intersection curve between a straight-sided solid and a surface of revolution using the generatrix/auxiliary-sphere method.

Assemble a labelled formula-and-procedure card for section and development of the four solid families.

Represent the five regular polyhedra in projection from given edge data, and mark the visible and hidden edges consistently.

Apply ISO/UNE dimensioning rules: dimension lines, arrowheads, extension-line gaps, leader lines, and the placement of numerals for horizontal, vertical and inclined dimensions.

Dimension a multi-view drawing of a mechanical part without redundancy, choosing datum-based dimensioning over chain dimensioning where appropriate.

Correct a deliberately over-dimensioned drawing and list each rule you applied to fix it.

Produce a sectional view (full section and half section) of a part with internal features, applying hatching conventions, and mark the cutting plane on the principal view.

Interpret and apply surface-finish, tolerance and edge-representation symbols in a short annotated drawing.

Compare freehand and instrumented drawing for the same object and identify where line-weight hierarchy changes readability.

Redraw a poorly laid-out sheet with corrected line hierarchy (thick visible edges, medium hidden, thin dimension and centre lines).

Produce rapid freehand sketches of a given object in isometric and in three orthographic views, keeping proportion accurate without instruments.

Compose a design presentation sheet: choose a grid, establish a visual hierarchy, and place title, views, annotations and colour accents coherently.

Write a short graphic-documentation brief (aim, views required, scale, materials, audience) for a small plastic-arts or design project.

Translate the brief into a set of drawings and check that every requirement in the brief is met by a specific drawing.

Complete two full mock exam papers under strict time limits (one per sitting) covering all seven domains.

Mark your own mocks against a rubric you write, scoring construction accuracy, projection consistency, dimensioning correctness and presentation.

Re-solve every question you lost marks on, and identify the two domains with the lowest scores for targeted final revision.

Compile a final one-page condensed revision sheet of constructions, formulas and conventions to review the day before the exam.