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IB Diploma Design Technology HL ยท Modelling
Mini-Lesson

Modelling

This mini-lesson covers Topic 3 โ€” Modelling: conceptual and graphical models, drawing conventions, scale, CAD, and physical prototypes including rapid prototyping.

graphical physical CAD / digital

Work through each screen, answer the questions as you go (some are wordy, some are calculations) and collect โญ stars. Press Start when you are ready.

Topic 3 ยท modelling

Why designers model

A model is a representation of a design used to develop, communicate and test ideas before committing to full production. Modelling lets a designer explore options quickly and cheaply, spot problems early, and get feedback from users and clients.

Models range from rough conceptual sketches, through accurate graphical and CAD models, to physical prototypes that can actually be handled and tested.

Key idea: the cost of changing a design rises steeply as you move toward production โ€” so it pays to find faults at the modelling stage.

Quick check

Purpose of modelling

?Why is it valuable to model and prototype a design before full production?
Topic 3 ยท graphical models

Graphical models & conventions

Graphical models communicate a design on paper or screen using agreed conventions so anyone can read them:

  • Orthographic projection โ€” flat front, side and plan views (first- or third-angle), fully dimensioned for manufacture.
  • Isometric โ€” a 3D pictorial view with equal 30ยฐ angles and no perspective distortion.
  • Perspective โ€” realistic 3D that converges to vanishing points, good for presentation.

Watch out: isometric keeps edges parallel and to scale; perspective does not (distant edges shrink). Use orthographic for accurate, dimensioned production drawings.

Topic 3 ยท scale

Scale models

A scale model represents a real object at a fixed ratio. A scale of 1:20 means the real object is 20 times bigger than the model.

scale factor = real size รท model sizemodel size = real size รท scale factor
Worked example

A boat is 4.6 m = 4600 mm long, modelled at 1:20.

model length = 4600 รท 20 = 230 mm

Calculate

Your turn โ€” model size

1A car is 4.0 m = 4000 mm long. A designer makes a 1:25 scale model. Calculate the model's length.
mm
Hint: model = real รท scale = 4000 รท 25.
Calculate

Your turn โ€” find the scale

2A real object is 3 m = 3000 mm long; its model is 150 mm long. Calculate the scale factor (real รท model), i.e. the number n in 1:n.
: 1
Hint: scale = real รท model = 3000 รท 150.
Calculate

Your turn โ€” area scale factor

3A model is made at a linear scale of 1:20. By what factor is the surface area of the real object bigger than the model's? (area scales by the square of the linear scale)
ร—
Hint: area factor = 20ยฒ = 20 ร— 20.
Quick check

Which drawing type?

?A designer needs a fully dimensioned drawing with separate front, side and plan views for the workshop. Which projection is best?
Sort it

Which kind of model?

Tap a model, then tap the group it belongs to.

โœ๏ธ Graphical

๐Ÿงฑ Physical

๐Ÿ’ป CAD / digital

Topic 3 ยท CAD & prototypes

CAD, prototypes & rapid prototyping

CAD (computer-aided design) builds accurate, editable 3D models that can be measured, rendered, shared and tested virtually. CAD drives CAM (machining), FEA (stress analysis) and rapid prototyping.

A prototype is a physical, usually working, model used to test function and get user feedback. Rapid prototyping (e.g. 3D printing) builds a part directly from CAD, layer by layer, in hours โ€” ideal for quick iteration.

Key idea: an aesthetic model shows how a product will look; a prototype shows how it will work. Many projects need both.

Quick check

Advantage of CAD

?Which is a genuine advantage of CAD modelling over hand drawing?
Match it

Match the modelling term

Tap a description on the left, then its term on the right.

Description
Term
Quick check

Rapid prototyping

?How does rapid prototyping (e.g. 3D printing) build a part?
Topic 3 ยท deeper

First- vs third-angle projection

Orthographic drawings follow a convention set by a symbol in the title block. In third-angle projection (common in the USA) each view sits on the side it is seen from; in first-angle (common in Europe) it is placed on the opposite side.

Getting this wrong flips the layout and can cause a part to be made mirror-imaged, so the projection symbol and dimensions are essential.

Topic 3 ยท deeper

Scale and the square-cube law

When a model scales up, length scales by the factor, area by its square and volume (and mass) by its cube. A 1:20 model has 1/400 of the surface area and 1/8000 of the volume of the real object.

Watch out: this is why a scale model can behave differently from the full-size product โ€” strength, heat loss and airflow do not scale linearly.

Topic 3 ยท deeper

From CAD to CAM

A CAD model is more than a picture: its geometry can drive a CAM tool-path so a CNC machine or 3D printer makes the part directly. This tight link removes re-drawing, cuts errors and speeds iteration.

The same model can be rendered for clients, analysed for stress, and shared instantly across a design team anywhere in the world.

Topic 3 ยท deeper

Choosing the right model

Different questions need different models: a concept sketch explores ideas fast; an aesthetic model checks how it looks and feels; a working prototype tests function; an FEA model predicts stress before any material is cut.

Skilled designers pick the cheapest model that answers the current question, and only build more detailed models as the design firms up.

Topic 3 ยท deeper

Benefits & limits of virtual modelling

Virtual (CAD/CAE) models are cheap to change, easy to test and share, and can simulate physics. But they are only as good as their assumptions, cannot fully capture how a product feels in the hand, and may miss manufacturing realities.

Key idea: most serious projects combine virtual modelling with at least one physical prototype before committing to production.

Recap

The big ideas to know

Conceptual models: ideas explored as sketches and diagrams early on.

Graphical models: orthographic (flat views), isometric and perspective drawings.

Scale: scale = real size รท model size; area scales by the square, volume by the cube.

CAD: accurate, editable, shareable digital models; enables CAM, FEA and rapid prototyping.

Prototypes: physical, working models used to test and evaluate a design.

You have worked through Modelling for IB Diploma Design Technology HL. Press Finish to see your score.

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