How old is the (Pythagorean) theorem?
This is an introductory lesson in a series of lessons on Pythagoras theorem. Students learn about Pythagoras’ theorem and its application in calculating lengths in right-angled triangles. They explore the statement of the theorem, some of its history, a simple geometric proof and visual demonstrations of the theorem. Students apply the theorem to the two types of problem calculating the length of the third side of a right-angled triangle, given the lengths of the other two sides.
Additional details |
|
| Year level(s) | Year 8 |
|---|---|
| Audience | Teacher |
| Purpose | Teaching resource |
| Format | Web page |
| Teaching strategies and pedagogical approaches | Mathematics investigation, Questioning, Explicit teaching, Concrete Representational Abstract model, Worked examples |
| Keywords | problem solving, right-angled triangles, triangles, Maths Hub lesson plan |
Curriculum alignment |
|
| Curriculum connections | Critical and creative thinking |
| Strand and focus | Number, Measurement |
| Topics | Pythagoras and trigonometry |
| AC: Mathematics (V9.0) content descriptions |
AC9M8N01
Recognise irrational numbers in applied contexts, including square roots and Π
AC9M8M06
Use Pythagoras' theorem to solve problems involving the side lengths of right-angled triangles |
| Numeracy progression |
Understanding geometric properties (P7)
Understanding units of measurement (P10) Multiplicative strategies (P9) |
Copyright details |
|
| Organisation | Commonwealth of Australia |
| Copyright | © 2024 Commonwealth of Australia. Creative Commons BY 4.0. |
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