Mathematics / Year 9 / Measurement and Geometry / Pythagoras and trigonometry

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Curriculum content descriptions

Investigate Pythagoras’ Theorem and its application to solving simple problems involving right angled triangles (ACMMG222)

Elaborations
  • understanding that Pythagoras' Theorem is a useful tool in determining unknown lengths in right-angled triangles and has widespread applications
  • recognising that right-angled triangle calculations may generate results that can be integers, fractions or irrational numbers
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
ScOT terms

Pythagoras theorem

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5 direct matches to ACMMG222

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Indigo Interior

  • TLF-IDM020743

This resource is a web page containing a problem solving task that requires an understanding of Pythagoras' theorem. The task involves finding the area of shaded region with a circle with a known area. To solve the problem students need to establish a right angled triangle and apply Pythagoras' theorem. A printable resource ...

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reSolve: Monte Carlo Simulations

  • TLF-IDM025322

This sequence of two lessons explores how statistical techniques that rely on randomly generated data can be used to solve problems. In the first lesson, students compare different methods for calculating the area of an irregular shape, using the context of oil spill maps. They are introduced to the Monte Carlo method for ...

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reSolve: Pythagoras' Theorem - Phone finding

  • TLF-IDM021843

This lesson challenges students to apply Pythagoras' Theorem to explore a practical real-world problem. Students explore technology reliant on mathematical concepts. The lesson is outlined in detail including curriculum links, vocabulary, materials needed, sample answers, discussion points and student resources such as ...

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reSolve: Pythagoras' Theorem - Lunch Lap

  • TLF-IDM025323

In this sequence of two lessons, students apply Pythagoras' Theorem to explore a practical problem involving optimising paths to lunch carts. In the first lesson, students investigate the length of a path that touches three sides of a rectangle, starting and finishing at the same point. They model the problem, use Pythagoras' ...

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reSolve: Tree Biomass

  • TLF-IDM025325

In this sequence of two lessons, students investigate how many trees would be required to supply paper for their school for a year. Students use similar triangles, Pythagoras' Theorem and algebra to design and construct a Biltmore stick, used to measure the diameter and height of a tree. They measure trees, calculate their ...

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