1. NZ Maths
  2. Supporting professional practice
  3. Numeracy project PLD
  4. Representational Framework
  5. 7: Advanced Multiplicative - Multiplication and Division

7: Advanced Multiplicative - Multiplication and Division

The Ministry is migrating nzmaths content to Tāhurangi.           
Relevant and up-to-date teaching resources are being moved to Tāhūrangi (tahurangi.education.govt.nz). 
When all identified resources have been successfully moved, this website will close. We expect this to be in June 2024. 
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For more information visit https://tahurangi.education.govt.nz/updates-to-nzmaths

 

There is a strip of lawn in the middle of Annie's drive which is 0.6m by 23.4m. Is a bag of seed that covers 14 square metres enough to sow it?


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Student: Ten times point six is six, so twenty times point six is twelve square metres. Three times point six is one point eight, so that's thirteen point eight square metres. That leaves point four times point six, but I don't think there will be enough grass seed left.

Note: Although 0.6 times 23.4 is more than 14, in the context of sowing a lawn there will be enough seed to cover the area.

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Students at the Advanced Multiplicative stage are learning to choose appropriately from a range of part-whole strategies to solve and estimate the answers to problems involving multiplication and division. These strategies require one or more of the numbers involved in a multiplication or division to be partitioned, manipulated, then recombined.