Session 1 · SOLVE: Verify
From paper to the real space
- 15 minScale drawing: draw the real surface on grid paper to scale (for example 1 cm = 20 cm) and show your pattern on it.
- 15 minEnlargement: draw your tile at 2 times and 3 times the size. What happens to the side lengths? What happens to the area?
- 20 minNets: design and build a net for a prism or pyramid that will stand your design board or display a 3D version of your tile. Test that it folds into shape with no gaps.
Session 2 · SOLVE: Explain
Shape Shifters exhibition
- 10 minFinish the design board: tile, transformations on a grid, angle proof, symmetry, scale drawing, tile count.
- 30 minExhibition and pitch: present to the principal, property manager, whānau or a local tiler or artist. Explain the maths and answer questions.
- 10 minReflect: what did you learn about angles and transformations? What did you learn from the pattern makers of Aotearoa and the Pacific?
Getting started
Use a template board with headings, and a pre-drawn scale grid for the real surface.
Stretch
Draw your full pattern on the court in chalk at real size, using a tape measure and string, and photograph it from above.
Checkpoint
Each design board shows an original tessellation with a transformation diagram, an angle proof, symmetry, a scale drawing and a tile count, and has been explained to a real audience.
Activities for this week
- Nets for a display stand: Which flat shapes fold into a strong 3D stand for our designs?
Useful this week
- Polypad ↗ Free digital polygons and tiles to test whether your design leaves gaps.
- Resizing (enlargement) ↗ Scale factors and what they do to lengths and areas when you scale up.
- Polyhedron models and nets ↗ Printable nets for building 3D shapes for your display.