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

What's Included

  • Smart Notebooks Presentation
  • Activ Inspire Flipchart
  • Lesson Plan
  • Microsoft PowerPoint Presentation
  • Differentiated Worksheet

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

Showing Progress during a Mathematics Lesson

Demonstrating student progression during a mathematics lesson is about understanding the learning objective and breaking that down into explicit success criteria. Using Success Criteria Take, for example, a lesson on calculating the area of compound rectilinear shapes. The intended learning objective was written on the main whiteboard. Success criteria were used to break down the individual […]

Plotting and Interpreting Conversion Graphs

Plotting and interpreting conversion graphs requires linking together several mathematical techniques.  Recent U.K. examiner reports indicate there are several common misconceptions when plotting and interpreting conversion graphs.  These include: drawing non-linear scales on the x or y axis, using the incorrect units when converting between imperial and metric measurements, taking inaccurate readings from either axis not […]

Calculating the Volume of a Pyramid

When calculating the volume of a pyramid we can substitute the values of the length, width and perpendicular height into the formula V = 1/3 lwh.  In my experience this is often provided for the students with little explanation as to why a volume of a pyramid is exactly one third the volume of a […]