# Perpendicular Bisectors and Equidistant Paths

Students learn how to construct a perpendicular bisector and equidistant path using a pair of compasses and ruler.  As learning progress students are challenged to bisect a line at a given point and to find the shortest route between a point and a line.The start of the lesson is used to recap constructing triangles involving side, side, side using a pair of compasses.  The plenary challenges students to construct a scale drawing and use a perpendicular bisector to find the shortest route possible.
##### Differentiated Learning Objectives
• All students should be able to construct the perpendicular bisector of a line segment.
• Most students should be able to construct an equidistant path between two points.
• Some students should be able to recognise and use the perpendicular distance from a point to a line as the shortest distance to the line.
SKU: 719

### Mr Mathematics Blog

#### Angles in Polygons

There are two key learning points when solving problems with angles in polygons.  The first is to understand why all the exterior angles of a polygon have a sum of 360°.  The second is to understand the interior and exterior angles appear on the same straight line. Students can be told these two facts and […]

#### Getting Ready for a New School Year

When getting ready for a new school year I have a list of priorities to work through. Knowing my team have all the information and resources they need to teach their students gives me confidence we will start the term in the best possible way.  Mathematics Teaching and Learning Folder All teachers receive a folder […]

#### Mathematics OFSTED Inspection – The Deep Dive

Earlier this week, my school took part in a trial OFSTED inspection as part of getting ready for the new inspection framework in September 2019. This involved three Lead Inspectors visiting our school over the course of two days. The first day involved a ‘deep dive’ by each of the Lead Inspectors into Mathematics, English […]