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

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Curriculum content descriptions

Investigate index notation and represent whole numbers as products of powers of prime numbers (ACMNA149)

Elaborations
  • defining and comparing prime and composite numbers and explaining the difference between them
  • applying knowledge of factors to strategies for expressing whole numbers as products of powers of prime factors, such as repeated division by prime factors or creating factor trees
  • solving problems involving lowest common multiples and greatest common divisors (highest common factors) for pairs of whole numbers by comparing their prime factorisation
General capabilities
  • Numeracy Numeracy
ScOT terms

Indices,  Prime numbers

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3 direct matches to ACMNA149 | 4 other related resources

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When I post something online how permanent is it?

  • TLF-IDA003100

Students engage in a photo rip up activity to emphasize the permanency of online information, they explore factor trees, doubling and line graphs through the lens of sharing information, and they collaboratively develop a set of protocols around sharing information online.

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Online

reSolve: Prime factorisation

  • TLF-IDM021067

This sequence of four lessons explores prime factorisation. Students solve a puzzle using factor strings, play a dice game to learn about prime numbers, develop a method for finding all of the factors of a number, and engage in an investigation of highest common factors and lowest common multiples of two numbers, and how ...

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Online

Factors, multiples, primes: Year 7 – planning tool

  • TLF-IDA003265

This planning resource for Year 7 is for the topic of Factors and multiples. Students explore, investigate and describe the relationship between square numbers and square roots.

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Online

The laws of arithmetic and their use in algebra

  • TLF-IDM014015

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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Online

Square roots and square numbers

  • TLF-IDM014348

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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Online

Secondary mathematics: using real data

  • TLF-IDS4972

These seven learning activities, which focus on the use of 'real data' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use the three content strands ...

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Online

reSolve: Real numbers - Sum of squares

  • TLF-IDM021068

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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