# 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

#### Regression, Correlation and Hypothesis Testing

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

#### 3D Vectors – Year 2

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

#### Parametric Equations

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