Lesson plan — Modelling with Measurement & Geometry: Real-World Applications

Analyse: dimensions, depth, bag size.
Represent: volume = 3 &times; 2 &times; 0.3 m&sup3; .
Solve: 1.8 m&sup3; = 1800 L ; 1800 &divide; 30 = 60 bags.
Interpret: "We need 60 bags" &mdash; check reasonableness and note rounding up where needed.

Explicit teaching — I Do (~15 min)

Modelling with measurement & geometry WA6MMGM1

Revisit the four-stage modelling cycle (analyse → represent → solve → interpret/communicate), now applied to measurement and geometry contexts.

A 3D garden bed 3 m by 2 m by 0.3 m with the working Volume = 3 times 2 times 0.3 = 1.8 cubic metres = 1800 litres, and 1800 divided by 30 = 60 bags of soil. — A design task worked through the modelling cycle.

Guided practice — We Do (~20 min)

Shared design task. "Wrap a rectangular-prism gift box" — find the area of paper needed, working through all four stages together.
Convert and solve. A journey-itinerary problem combining duration with distance/unit conversion.
Critique a model. Show a solution that mixed cm and m; the class finds and fixes the error, then rewrites the interpretation.

Independent practice — You Do (~15 min)

Project task: students choose a real-world brief (e.g. design a sandpit and order sand; plan a fish-tank volume; map a treasure route on a coordinate grid) and complete the full modelling cycle on a planning sheet, using measurement/geometry skills and correct units.