Cantabria PAU Technical Drawing II (Dibujo Técnico II) study plan
Cantabria PAU Technical Drawing II (Dibujo Técnico II) · Give each week a clear focus.
8 weeks · About 7 hours per week
Plane geometry: geometric constructions, loci, conic sections, tangencies and transformations
Construct tangent lines and circles to a given circle from an external point using compass-and-straightedge only, stating the construction steps in writing
Draw the five classic loci (bisector, perpendicular bisector, parabola by directrix-focus, ellipse by focal points, circumference arc) from a verbal description without a reference figure
Solve three tangency problems (line-circle, circle-circle, circle passing through two points) applying homothety or inversion reasoning
Set up a clean A3 sheet with title block, scale bar and construction lines hidden in HB so final answers read in 2B
Your checkpoint
One A3 sheet containing six fully constructed tangency and locus exercises, each with numbered construction steps and a self-checked accuracy pass
Plane geometry: geometric constructions, loci, conic sections, tangencies and transformations
Construct ellipses, parabolas and hyperbolas by at least two methods each (focal, concentric circles, rectangle, asymptote) and label focal data
Determine axes, foci, directrices and eccentricity from a given conic outline
Apply a rotation, translation and homothety to a composite planar figure and prove the image matches by measurement
Draw a conic tangent to two given lines at two given points
Your checkpoint
Four completed conic constructions on A3 with computed eccentricity values and a one-page written comparison of construction methods
Descriptive geometry: point, line and plane systems, intersections, parallelism and perpendicularity
Resolve true length and true angle of a segment using the difference-of-coordinates method in dihedral projection
Find the intersection point of a line and a plane and the intersection line of two planes, showing visibility correctly
Construct a plane perpendicular to a given plane through a given line, and a line perpendicular to a plane through a point
Draw the traces of planes defined by three points, two intersecting lines, and a point plus a line
Your checkpoint
A timed 90-minute mock exercise set (five dihedral problems) scored against a checklist with at least 80 percent of construction steps correct
Descriptive geometry: point, line and plane systems, intersections, parallelism and perpendicularity & Descriptive geometry: solids, surfaces, sections, developments and intersections with planes
Determine the true shape of a planar section of a polyhedron by abatment or change of projection plane
Construct the intersection of a straight line with a prism and a pyramid, marking hidden segments with dashed lines
Build the intersection curve of a plane with a cylinder and a cone, including the ellipse, parabola and hyperbola cases
Apply a change of projection plane once and a rotation once to obtain a true-size view
Your checkpoint
Two A3 sheets: one polyhedron section with true-shape abatment, one cone or cylinder section curve with tangent points marked
Descriptive geometry: solids, surfaces, sections, developments and intersections with planes
Develop the lateral surface of a truncated prism, cylinder and cone, including the true-shape base
Construct the intersection of two solids (cylinder-cylinder, cone-cylinder) point by point and join the curve smoothly
Represent a sphere with its contour, equator and a plane section circle in projection
Check developed length against the computed circumference and record the error percentage
Your checkpoint
One development sheet for a truncated cone plus one solid-solid intersection sheet, with a written error check under 2 percent on the development
Technical drawing standards: normalisation, scales, dimensioning, tolerances and surface finishes
Apply ISO first-angle and third-angle projection symbols correctly and choose the right view layout for a given part
Dimension a mechanical part fully: functional, non-functional and auxiliary dimensions, no redundancy, correct arrowheads and gaps
Compute and apply a scale factor, drawing a part at 2:1 and 1:5 and stating the scale in the title block
Read and write tolerance designations (fit types, ISO tolerance classes) and place surface roughness symbols with Ra values and machining notes
Your checkpoint
One fully dimensioned and toleranced A3 drawing of a bracket with surface finish symbols, checked against a normalisation checklist of 15 items
Orthographic projection and multiview representation of objects and mechanical parts
Convert a set of three orthographic views into a dimensioned multiview drawing of a mechanical part with correct hidden lines and centrelines
Select the minimum number of views and the best front view for five given parts, justifying each choice in one sentence
Draw a half-section and a full section of a part with a hole pattern, applying correct hatching angle and spacing
Detect and correct deliberate errors in a supplied incorrect multiview drawing
Your checkpoint
A portfolio of five multiview drawings, one with sections, plus a written error log listing every corrected mistake
Axonometric and perspective representation: isometric, cavalier and conical projection & Technical drawing standards: normalisation, scales, dimensioning, tolerances and surface finishes
Draw an isometric axonometric of a given part on isometric grid paper, applying the correct 30-degree axes and non-distorted edge lengths
Construct a cavalier or cabinet oblique projection of a part with circular faces, using the appropriate reduction coefficient
Build a one-point and a two-point conical perspective of a simple volume with a station point, horizon and vanishing points
Assemble a one-page formula and convention sheet covering scales, isometric coefficients and perspective terms
Run a full timed mock exam under PAU conditions and mark it against the official-style rubric
Your checkpoint
A complete timed mock exam (one isometric, one oblique, one perspective exercise plus a standards question) scored and reviewed, with a written list of the three weakest points to revisit
Milestones
Week 2: Solve two unseen conic and tangency problems in 45 minutes with no reference notes, scoring at least 7 of 10 on construction accuracy and labelling
Week 4: Complete a dihedral intersection problem and a polyhedron true-shape section in 60 minutes, with correct visibility and no missing construction lines
Week 6: Produce a dimensioned and toleranced drawing that passes a 15-item normalisation checklist with at most two minor errors
Week 8: Score at least 70 percent on the full timed mock exam, with no domain below 50 percent, and hold a written remediation list for the final days