Loci and construction
Why this, why now
In this unit, pupils construct triangles and construct diagrams following specific restrictions using their knowledge of loci and their work on constructions.
Prior knowledge requirements
- Ardaydu waa inay yaqaanaan aasaaska maadada.
- Ardaydu waa inay awoodaan inay raacaan tilmaamo fudud.
Unit 14 / 15
Loci and construction
In this unit, pupils construct triangles and construct diagrams following specific restrictions using their knowledge of loci and their work on constructions.
14 lessons- Checking and securing understanding of bisecting an angle
- Constructing angles of 90° and 45°
- Checking and securing understanding of constructing the perpendicular bisector of a line segment
- Constructing a triangle given two side lengths and an angle not between them
- Constructing loci
- Checking and securing understanding of constructing a perpendicular to a given line through a point
- Advanced problem solving with loci and constructions
- Solving loci problems in context
- Constructing a right-angled triangle given the length of the hypotenuse and one other side length
- Applying constructions to loci problems
- Constructing a triangle given two side lengths and the angle between them using a compass
- Constructing a triangle given three side lengths using compasses
- Constructing a triangle given two angles and the side length between them
- Problem solving with loci and constructions