LC DCG study materials
LC DCG study resources

LC DCG study plan

LC DCG · Give each week a clear focus.

8 weeks · About 6 hours per week

Week 1

Core: Graphical Communication and Technical Drawing & Core: Descriptive Geometry (Orthographic and Auxiliary Projection)

  • Set up a drawing kit (A3 drawing board or equivalent, T-square or parallel rule, set squares 30-60 and 45, compass, dividers, scale rule, 0.5 mm and 0.3 mm pencils, eraser shield) and calibrate line weights on a test sheet.

  • Construct a title block and border to a stated sheet layout, then letter a title block in block capitals to legible height conventions.

  • Produce a freehand and instrument sketch of a simple orthographic three-view layout (plan, elevation, end view) of a stepped block, applying first-angle or third-angle convention consistently.

  • Explain in writing the difference between first-angle and third-angle projection and identify which symbol belongs to each.

  • Time yourself drawing 10 straight parallel lines at 0.7 mm, 0.35 mm and 0.25 mm weights and record which weights you can hold consistently.

Your checkpoint

One A3 sheet containing a bordered title block, a fully lettered heading, and a correct three-view orthographic drawing of a stepped block with consistent line weights.

Week 2

Core: Descriptive Geometry (Orthographic and Auxiliary Projection) & Core: Graphical Communication and Technical Drawing

  • Construct true lengths and inclinations of oblique lines using the auxiliary-view method, working three separate problems without reference notes.

  • Derive the true shape of an inclined plane (lamina) by auxiliary projection, then re-project it back to plan and elevation.

  • Solve at least four intersection problems: line piercing a plane, plane meeting a plane, and the line of intersection of two non-parallel planes.

  • Draw the traces of a plane from three given points and state its inclination to both reference planes.

  • Annotate every construction line (projectors, fold lines, auxiliary ground lines) so a marker could follow your reasoning.

Your checkpoint

A portfolio of four solved descriptive-geometry constructions on A3, each with fold lines, projectors and a written one-paragraph method note.

Week 3

Core: Descriptive Geometry (Orthographic and Auxiliary Projection)

  • Construct the interpenetration curve of two solids (for example a cylinder meeting a cylinder or a cone meeting a prism) using auxiliary cutting planes, showing at least eight points on the curve.

  • Develop the surface of a truncated prism or cylinder into a flat pattern and state the true lengths used.

  • Construct the intersection of a sphere or cone with a plane and identify the resulting section shape.

  • Rotate a solid about an axis and project the rotated position in plan and elevation.

  • Complete one full interpenetration problem under a 45-minute time limit to simulate exam pacing.

Your checkpoint

One A3 sheet showing a completed interpenetration curve with at least eight construction points, plus a developed surface with true lengths marked.

Week 4

Core: Graphical Communication and Technical Drawing & Core: Design and Problem Solving

  • Produce a dimensioned working drawing of a small bracket or plate, applying dimensioning conventions: no duplicated dimensions, dimensions outside the outline where possible, radius and diameter prefixes, and a consistent arrow style.

  • Apply section conventions: hatching at 45 degrees, cutting-plane line with arrows and letters, and correct treatment of ribs and webs.

  • Write a design brief for a simple everyday product (for example a desk lamp base or a phone stand) that states the user, the constraints and three measurable criteria.

  • Generate and sketch three distinct concept solutions to that brief, then score them against the criteria in a simple decision matrix.

  • Produce a dimensioned orthographic drawing of the chosen concept.

Your checkpoint

A design folder containing the brief, three annotated concept sketches, a scoring matrix and one dimensioned orthographic drawing of the selected solution.

Week 5

Core: 3D Modelling and CAD & Core: Design and Problem Solving

  • Build a 3D model of your week-4 chosen concept in CAD, using sketch constraints (coincident, tangent, equal, symmetric) rather than free-hand geometry.

  • Produce a drawing sheet from the model with at least three views, a section view and an isometric view, all correctly scaled.

  • Demonstrate parametric editing: change two key dimensions and confirm the model and drawing update correctly.

  • Export the model to a neutral format (STL or STEP) and open it to verify geometry integrity.

  • Compare your CAD output with your hand drawing and list every discrepancy you find.

Your checkpoint

A native CAD file plus a PDF drawing sheet (three views, one section, one isometric) generated from the model, with a short list of hand-versus-CAD discrepancies.

Week 6

Core: 3D Modelling and CAD & Option: Applied Graphics and Design (chosen elective)

  • Model a second part that requires a swept or lofted feature, then apply fillets and chamfers at realistic sizes.

  • Create an assembly of two or more components with mating constraints and produce an exploded view.

  • Apply a material and a rendered view, then export a presentation image suitable for a design portfolio.

  • Write a 150-200 word evaluation of the final design against the week-4 brief criteria, citing specific evidence from the model.

  • Produce one applied-graphics artefact (for example a perspective sketch or a presentation layout) supporting the same design.

Your checkpoint

A two-page design portfolio: exploded assembly view, rendered presentation image, and a written evaluation against the brief's measurable criteria.

Week 7

Option: Geometry and Trigonometry Applications (chosen elective) & Core: Descriptive Geometry (Orthographic and Auxiliary Projection)

  • Solve trigonometric problems involving right and oblique triangles applied to real geometry: finding an unknown side or angle in a roof pitch, a ramp, or a tapered component.

  • Apply the sine rule and cosine rule to at least three non-right-triangle problems and check each answer by scale drawing.

  • Construct a parabola, ellipse and hyperbola by their standard locus constructions, and state one engineering use of each.

  • Calculate the true length and inclination of an oblique line both by trigonometry and by auxiliary projection, and confirm the two answers agree.

  • Solve a combined problem where a trig calculation is needed to complete a descriptive-geometry construction.

Your checkpoint

A worked problem set of six solved geometry-and-trigonometry problems, each with a scale-drawing check and a numeric verification.

Week 8

Core: Graphical Communication and Technical Drawing & Core: Descriptive Geometry (Orthographic and Auxiliary Projection) & Core: 3D Modelling and CAD & Core: Design and Problem Solving & Option: Applied Graphics and Design (chosen elective) & Option: Geometry and Trigonometry Applications (chosen elective)

  • Sit two full timed mock papers under exam conditions, using only permitted instruments, and mark them against a marking scheme you write yourself.

  • List every error from the mocks, classify each as conceptual, procedural or time-related, and re-solve the top five.

  • Redraw your two weakest constructions from memory without notes to confirm retention.

  • Compile a one-page instrument and formula sheet covering projection symbols, dimensioning rules, section conventions and the trig identities you actually used.

  • Set a final revision schedule for the days before the exam, allocating time in proportion to your mock error counts.

Your checkpoint

Two completed and self-marked mock papers with an error log, plus a one-page personal formula and convention sheet.

Milestones

Week 2: Can you produce the true shape of an inclined plane and state its inclination to both reference planes, unaided, in under 20 minutes?

Week 4: Do you have a complete design folder (brief, three concepts, scoring matrix, dimensioned drawing) that a marker could follow without verbal explanation?

Week 6: Does your CAD model update correctly when two driving dimensions change, and does the drawing sheet regenerate without errors?

Week 8: Have you scored above 70 percent on both timed mocks, with no conceptual errors remaining in your error log?