Construction and loci

Year 7
Year 8
Year 9
Year 10
Year 11
Extension
Use a ruler and protractor to:
• measure and draw lines to the nearest millimetre and angles, including reflex angles, to the nearest degree • construct a triangle, given two sides and the included angle (SAS) or two angles and the included side (ASA).
Use straight edge and compasses to construct: • the midpoint and perpendicular bisector of a line segment
• the bisector of an angle • the perpendicular from a point to a line
• the perpendicular from a point on a line • a triangle, given three sides (SSS).
Use straight edge and compasses to construct triangles, given right angle, hypotenuse and side (RHS). Understand from experience of constructing them that triangles given SSS, SAS, ASA or RHS are unique, but that triangles given SSA or AAA are not.    
Use ICT to explore constructions. Use ICT to explore these constructions. Use ICT to explore constructions of triangles and other 2-D shapes.

Regular polygon butterfly GSP

Use ruler and protractor to construct simple nets of 3-D shapes, e.g. cuboid, regular tetrahedron, square-based pyramid, triangular prism. Find simple loci, both by reasoning and by using ICT, to produce shapes and paths, e.g. an equilateral triangle

Paths and shapes using LOGO

Find the locus of a point that moves according to a simple rule, both by reasoning and by using ICT.

Loci
Find the locus of a point that moves according to a more complex rule, both by reasoning and by using ICT.