Spatial Reasoning – Geometry
MYP 1–3
Lines, angles, and polygons
- Points, lines, line segments, rays, planes
- Angles: measuring, classifying, pairs (supplementary, complementary)
- Angles in triangles and quadrilaterals
- Polygons: regular and irregular
- Angle relationships with parallel lines (alternate, co-interior, corresponding)
Protractor use · Dynamic geometry software
MYP 1–5
Perimeter, area, surface area, and volume
- Perimeter and area of rectangles, triangles, parallelograms, circles
- Composite shapes
- Surface area and volume of prisms, cylinders, cones, pyramids, spheres
- Pythagoras' theorem
Formula derivation · Nets of solids · 3D models
MYP 1–5
Transformations and congruence
- Translation, reflection, rotation, enlargement
- Congruence and similarity tests
- Scale factor and similar triangles
- Deductive proofs and midpoint theorem
Coordinate plane · Dynamic geometry · Proof structure
Related concepts
Measurement · Relationships · Space · Representation
Approaches to learning
Thinking skills · Communication skills · Research skills