Mathematics / Year 7 / Number and Algebra / Number and place value

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

Investigate and use square roots of perfect square numbers (ACMNA150)

Elaborations
  • investigating square numbers such as 25 and 36 and developing square-root notation
  • investigating between which two whole numbers a square root lies
General capabilities
  • Numeracy Numeracy
ScOT terms

Square roots,  Perfect squares

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Square roots and square numbers

This is a website designed for both teachers and students that deals with square roots of square numbers from the Australian Curriculum for year 7 students. It contains material on products of squares and square roots, prime factorisation and square roots of non-perfect squares. There are pages for both teachers and students. ...

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The laws of arithmetic and their use in algebra

This is a website designed for both teachers and students that refers to algebraic notation, the laws of arithmetic and the use of these laws in algebra from the Australian Curriculum for year 7 students. It contains material on algebraic notation, the commutative and associative laws, the use of brackets and the orders ...

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reSolve: Real numbers - Sum of squares

This lesson explores Diophantus' hypothesis that all natural numbers can be expressed as the sum of no more than four square numbers. Students are invited to work in small groups to express natural numbers up to 120 as a sum of squares and share this on a whole-class grid. The resource develops students' fluency in identifying ...

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Fascinating prime numbers

Use this teaching resource to investigate prime numbers with your students. Go back in time to the ancient Greeks (around 300 BC) to find out how Euclid demonstrated that there is an infinite number of primes. Investigate ways to identify prime numbers using algebra and square numbers and how to represent large primes using ...