PYTHAGORAS THEOREM & SURDS
OVERVIEW
During this half term students will squares and square roots before moving on to investigate the relationship between the sides of a right-angled triangle. The converse of the theorem is emphasised so that students are aware that if the sides of a triangle satisfy the rule then the triangle must be right-angled. Students explore the theorem in context, including on coordinate axes and 3D shapes.
Additionally students will be introduced to the idea of irrational numbers and work with surds as this links to solutions often found when working with Pythagoras Theorem.
LESSON RESOURCES
| Lesson 1 | Tilted squares |
| Lesson 2 | Introduction to Pythagoras – finding the hypotenuse |
| Lesson 3 | Pythagoras – finding a shorter side |
| Lesson 4 | Pythagoras problems |
| Lesson 5 | Introducing surds |
| Lesson 6 | Simplifying surds |
| Lesson 7 | Simplifying surds using prime factorisation |
| Lesson 8 | Manipulating surds |
| Lesson 9 | Expanding a single bracket containing surds |
| Lesson 10 | Expanding double brackets containing surds |
| Lesson 11 | Rationalising Surds |
| Lesson 12 | Visualising in 3D |
| Lesson 13 | Pythagoras in 3D |
| Lesson 14 | Solving 3D Pythagoras problems |
| Lesson 15 | Solving 3D Pythagoras in pyramids |
| Lesson 16 | Pyramids of Giza |
Updated April 2024