Pythagoras’ Theorem – Solving Complex Problems

Students learn how to use Pythagoras' Theorem to calculate unknown lengths in a range of problems involving right-angled triangles. As learning progresses this is linked to finding the area and perimeter of composite shapes.At the start of the lesson students find the perimeter of a quadrilateral plotted on Cartesian axes by calculating the hypotenuse length between the vertices. In the plenary they are challenged to calculate the perpendicular height of a triangle whose vertices form the center of three identical circles.
Differentiated Learning Objectives
• All students should be able to calculate the length between two coordinate pairs.
• Most students should be able to use Pythagoras’ Theorem to solve problems involving right-angled triangles.
• Some students should be able to calculate the longest diagonal in a cuboid.

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 […]