Constructions and Loci

June 16, 2023

Scheme of work: GCSE Higher: Year 9: Term 6: Constructions and Loci

Prerequisite Knowledge

Identify and construct a radius, diameter, circumference, area, chord, tangent and arc.
Measure and begin to record lengths and heights
Identify acute and obtuse angles and compare and order angles up to two right angles by size

Success Criteria

Identify and construct a radius, diameter, circumference, area, chord, tangent and arc.
Measure and begin to record lengths and heights
Identify acute and obtuse angles and compare and order angles up to two right angles by size

Key Concepts

It is important for students to sketch the diagram before attempting their construction. The sketch should be drawn freehand and contain all the necessary information.
Bisectors are used to half an angle as well as a length of a line segment.
Constructing a 60° angle using a pair of compasses is an essential skill throughout this topic as it goes on to equilateral triangles and reflex angles.

Common Misconceptions

Students often have difficulty constructing smooth arcs using a pair of compasses. Encourage them to try different techniques, such as rotating the paper rather than the compasses.
It is important to leave in construction lines as these form the working out.

Constructions and Scale Drawings Resources

Mr Mathematics Blog

Regression, Correlation and Hypothesis Testing

September 24, 2023

A-Level Scheme of work: Edexcel A-Level Mathematics Year 2: Statistics: Regression, Correlation and Hypothesis Testing

3D Vectors – Year 2

September 22, 2023

A-Level Scheme of work: Edexcel A-Level Mathematics Year 2: Pure 2: 3D Vectors

Parametric Equations

September 21, 2023

Edexcel A-Level Mathematics Year 2: Pure 2: Parametric Equations