Patterns and Algebra 32, Multiplication and Division 28_Problem Solving
(Year 6) ACMNA122, NSW MA3-4NA
Identify prime and composite numbers.
Explain composite numbers are the product of prime factors.
Use prime factors to simplify calculations.
PROBLEM SOLVING
Problems allow children to investigate concepts in new and varied situations. Any problem worth solving takes time and
effort – that’s why they’re called problems!
Problems are designed to develop and use higher order thinking. Allowing children to grapple with problems, providing
minimal support by asking strategic questions, is key. Differentiating problems allows children to solve simpler problems,
before solving more complex problems on a concept.
Problems may not always be solved the first time they are presented. Returning to a problem after further learning, develops
both resilience and increased confidence as children take the necessary time and input the necessary effort.
After solving problems, children also create their own problems.
The formulation of a problem is far
more essential than its solution,
which may be merely a matter of
mathematical or experimental skills.
It’s not that I’m
so smart
– I just stay with
problems longer.
The problem solving steps may be followed to solve problems.

What are the prime factors of 18? How could you record 18 as the product of its prime factors?
 Jason multiplied 6 x 9. How could he calculate it using prime factors?
 Wendy multiplied 16 x 9. How could she calculate it using prime factors?
 Fiona multiplied 26 x 32. How could she calculate it using prime factors?
 John divided 36 ÷ 9. How could he calculate it using prime factors?
 Kay divided 96 ÷ 8. How could she calculate it using prime factors?
 Lola divided 162 ÷ 6. How could she calculate it using prime factors?
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Problem Solving
Patterns and Algebra 16 Multiplication and Division 28 Prime and composite numbers
What are the prime factors of 18?
How could you record 18 as the product of its prime factors?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
Patterns and Algebra 16 Multiplication and Division 28 Prime and composite numbers
Jason multiplied 6 x 9.
How could he calculate it using prime factors?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
Patterns and Algebra 16 Multiplication and Division 28 Prime and composite numbers
Wendy multiplied 16 x 9.
How could she calculate it using prime factors?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
Patterns and Algebra 16 Multiplication and Division 28 Prime and composite numbers
Fiona multiplied 26 x 32.
How could she calculate it using prime factors?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
Patterns and Algebra 16 Multiplication and Division 28 Prime and composite numbers
John divided 36 ÷ 9.
How could he calculate it using prime factors?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
Patterns and Algebra 16 Multiplication and Division 28 Prime and composite numbers
Kay divided 96 ÷ 8.
How could she calculate it using prime factors?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
Patterns and Algebra 16 Multiplication and Division 28 Prime and composite numbers
Lola wanted to work out 162 ÷ 6.
How could she calculate it using prime factors?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving Steps (Back)
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