Pythagoras’ Theorem – Solving Complex Problems

Pythagoras’ Theorem – Solving Complex Problems
Pythagoras’ Theorem – Solving Complex Problems
Pythagoras’ Theorem – Solving Complex Problems
Pythagoras’ Theorem – Solving Complex Problems

              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.
              View online lesson
              Lesson Downloads
              Download PowerPoint Download Notebook Download Flipchart Download Worksheet
              Scheme of Work Link
              Pythagoras' Theorem and Right-Angled Triangles
              IMMEDIATE DOWNLOAD

              Mr Mathematics Blog

              Problem Solving with Averages

              Students are challenged to apply their understanding of the mean, mode, median and range to calculate datasets by setting up and solving equations.

              Problem Solving with Compound Percentages

              Five, real-life and functional problem solving questions on compound percentage changes.

              Pull Up Nets

              Home learning project teaching how to create pull up nets for 3D shapes.