Stage 4 whole numbers
- express a number as a product of its prime factors
- find squares and square roots, cubes and cube roots
Activities to support the strategies
- 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.
- Students use factor trees to determine the prime factors of 15, 27, 36, 72, 88, 100, 134, 210, 682, 526, 476, 24 960.
- Students use the Interactive Factor Tree Game to consolidate their knowledge and skills.
- 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 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.
- Pete's powerpoint station –- Square roots and cubes
- Maths goodies –prime factors game
- Prime factorisation, Multiples, Factors
- teacherled.com/resources/particle/particleload - an interactive whiteboard game to practise number properties. Thirty particles fall from above. Use the repelling particle to nudge them into the correct box depending on whether they contain a square number or a prime number. No points are scored if they miss both boxes. A point is deducted for the wrong box and a point is added for the correct box. Once all thirty particles have fallen the game is over. See who can get the highest score. Class involvement can be increased by allowing the audience to call out numbers and their property. Quick thinking and a careful hand are required for this one!
- BBC maths file – print offs – cross number
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.