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

1. Students:

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

2. Students:

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 reference: ACMNA150

Investigate and use square roots of perfect square numbers.

NSW syllabus reference: MA4-9NA

Operates with positive – integer and zero indices of numerical bases.

NSW literacy continuum reference: 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 markers: VOCC13M2

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

Teachers resources

Numeracy app

Signed Numbers Lite is a challenging and fun math game that covers all aspects of signed number arithmetic. If you can pass this learning game, you can be sure that you've mastered everything you need to learn on signed numbers. This learning game was developed under the guidance of a university math professor who regularly volunteers to tutor middle school and high school students in after-school math learning activities.

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