# Constructions and Loci

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

#### Planes of Symmetry in 3D Shapes

Planes of Symmetry in 3D Shapes for Key Stage 3/GCSE students.

Use isometric paper for hands-on learning and enhanced understanding.

#### GCSE Trigonometry Skills & SOH CAH TOA Techniques

Master GCSE Math: Get key SOH-CAH-TOA tips, solve triangles accurately, and tackle area tasks. Ideal for students targeting grades 4-5.

#### Regions in the Complex Plane

Explore Regions in the Complex Plane with A-Level Further Maths: inequalities, Argand diagrams, and geometric interpretations.