# Constructions and Scale Drawings

Scheme of work: GCSE Foundation: Year 10: Term 2: Constructions and Scale Drawings

#### 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

• Use the standard conventions for labelling and referring to the sides and angles of triangles; draw diagrams from the written description
• use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle);
• use these to construct given figures and solve loci problems;
• know that the perpendicular distance from a point to a line is the shortest distance to the line

#### Key Concepts

• Students need 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 60Â° angle using a pair of compasses is an essential skills 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 students 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

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#### 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