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Students learn how to construct triangles to scale using a pair of compasses and protractor. As learning progresses they construct angle and line bisectors using a pair of compasses. Finally, students apply this knowledge to solve problems involving loci about a point and line. This unit takes place in Year 10 Term 2.

**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 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**

- 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 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 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.

March 28, 2020

Distance learning unit of work on Probability.

This unit covers grades 3 to 5 of the U.K. National Curriculum.

March 22, 2020

With schools around the United Kingdom closed to most students it is important every child has access to engaging maths lessons through distance learning.

March 16, 2020

There are three common ways to organise data that fall into multiple sets: two-way tables, frequency diagrams and Venn diagrams. Having blogged about frequency diagrams before I thought I would write about how to draw a Venn Diagram to calculate probabilities. Recapping Two-Way Tables This activity works well to review two-way tables from the previous […]