Mathematics / Year 8 / Number and Algebra / Real numbers

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Investigate the concept of irrational numbers, including π (ACMNA186)

  • understanding that the real number system includes irrational numbers
General capabilities
  • Numeracy Numeracy
ScOT terms

Irrational numbers

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Year level 7-8
Resource type
Learning area Mathematics
Moving Image

Mystery man Pythagoras meets his match

What do you know about Pythagoras? Join Vi Hart as she not only explains his theorem but raises some legends about his dark past! Follow Vi's timeline of famous mathematicians to find out in which century Pythagoras lived. See how Vi shows a proof of his theorem and raises what was a big dilemma for Pythagoras: the irrational ...


What is pi?

This is an online resource that introduces the concept of pi as the ratio of a circle's circumference to its diameter. The buttons at the bottom of the screen provide links to an animated demonstration of how an approximation of pi can be determined by measuring the circumference, the first 2000 digits of pi and a mnemonic ...

Teacher resource

Investigating irrational numbers including pi

This is a website designed for both teachers and students that refers to irrational numbers including pi from the Australian Curriculum for year 8 students. It contains material on the real number system and explains how irrational numbers were introduced historically to this system. Information on constructing rational ...

Teacher resource

TIMES Module 15: Measurement and Geometry: Pythagoras's theorem - teacher guide

This is a 24-page guide for teachers. It contains proofs of Pythagoras's theorem and its converse, applications of Pythagoras's theorem and a discussion of Pythagorean triads. A history of Pythagoras's theorem concludes the module.