REET Level 1 study notes
Geometry and Shapes for REET L1 Mathematics
For REET Level 1, geometry and shapes stay within the Classes I to V range: recognising plane 2-D shapes such as triangle, quadrilateral and circle, and solid 3-D shapes such as cube, cuboid, sphere, cone and cylinder. The topic also includes everyday examples of shapes, simple perimeter and area, line symmetry, tiling, and early ideas of position, line and angle. Pedagogy should use paper cut-outs, dice, balls and tins, connect names with objects seen at home, and remove misconceptions such as calling every square merely a rectangle without noticing its equal sides.
Key points
- 2-D shapes are flat (triangle, quadrilateral, circle); 3-D shapes occupy space (cube, cuboid, sphere, cylinder, cone).
- A cube has 6 equal square faces, 12 edges and 8 vertices; a cuboid has 6 rectangular faces with the same edge and vertex counts.
- Perimeter of a square equals 4 times the side; area of a square equals side multiplied by side.
- A circle has infinitely many lines of symmetry; a square has four lines of symmetry; an equilateral triangle has three.
- Squares, rectangles, equilateral triangles and regular hexagons tile a flat surface, but regular pentagons do not.
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For REET Level 1, geometry and shapes stay within the Classes I to V range: recognising plane 2-D shapes such as triangle, quadrilateral and circle, and solid 3-D shapes such as cube, cuboid, sphere, cone and cylinder. The topic also includes everyday examples of shapes, simple perimeter and area, line symmetry, tiling, and early ideas of position, line and angle. Pedagogy should use paper cut-outs, dice, balls and tins,...