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Stage 4 whole numbers


Students can:

  • express a number as a product of its prime factors
  • find squares and square roots, cubes and cube roots

Activities to support the strategies

Activity 1

  1. The teacher uses the factor tree to investigate the prime factors of numbers by dividing by prime numbers such as 2, 3, 5, 7, 11, 13, etc.
  2. Students use factor trees to determine the prime factors of 15, 27, 36, 72, 88, 100, 134, 210, 682, 526, 476, 24 960.
  3. Students use the Interactive Factor Tree Game to consolidate their knowledge and skills.

Activity 2


  • build models of square numbers using square tiles or graph paper.


a. build models of cubic numbers using centicubes or draw cubic numbers using dot paper

b. use the PowerPoint presentations to investigate cubic numbers

3. Use calculators to determine squares, square roots, cubes and cubic roots, rounding to 2 decimal places where necessary:

4. Students can investigate What's Special About This Number.


Australian curriculum

ACMNA150 Investigate and use square roots of perfect square numbers.

NSW syllabus

MA4-9NA Operates with positive – integer and zero indices of numerical bases.

NSW literacy continuum

VOCC13M1 Vocabulary knowledge, Cluster 13, Marker 1: Applies knowledge of root words and word origins to understand the meaning of new subject specific words.

Other literacy continuum

VOCC13M2 Vocabulary knowledge, Cluster 13, Marker 2: Uses technical vocabulary to explain a complex concept or phenomenon.

Teachers resources

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