Fractions and Decimals 14_Problem Solving
(Year 4) ACMSP068, ACMSP069, ACMSP070 NSW MA2 18SP
Equivalent fractions on a number line.
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.

1
0 A

4
Which letter shows where 3 would be on this number line? Which letter shows where 12 would be on this number line? What other fractions
could be at the same mark?
B
C
D
1
What fractions could C represent on this fraction Line? Why?
0
C
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1
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1

What fraction could the arrow be pointing to? What other fraction could the arrow be pointing to?
0

1
2
1
What fraction could the arrow be pointing to? What other fraction could the arrow be pointing to?
1
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1
12
2
Problem Solving
FRACTIONS AND DECIMALS 14 Equivalent fractions on a number line.
1
Which letter is closest to where would be on this number line?
Which letter shows where
4
12
3
would be on this number line?
0 A
B
C
D
What other fractions could be at the same mark?
Make up your own problem!
http://www.alearningplace.com.au
1
Problem Solving
FRACTIONS AND DECIMALS 14 Equivalent fractions on a number line.
What fractions could C represent on this fraction Line? Why?
0
C
Make up your own problem!
http://www.alearningplace.com.au
1
Problem Solving
FRACTIONS AND DECIMALS 14 Equivalent fractions on a number line.
What fraction could the arrow be pointing to? What other fraction could
the arrow be pointing to?
0
1
2
Make up your own problem!
http://www.alearningplace.com.au
1
Problem Solving
FRACTIONS AND DECIMALS 14 Equivalent fractions on a number line.
What fraction could the arrow be pointing to? What other fraction could
the arrow be pointing to?
1
1
1
2
Make up your own problem!
http://www.alearningplace.com.au
2
http://www.alearningplace.com.au
http://www.alearningplace.com.au
http://www.alearningplace.com.au
http://www.alearningplace.com.au
http://www.alearningplace.com.au
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place