Place Value 21, Fractions and Decimals 12_Problem Solving
(Year 4) ACMNA072, ACMNA073, ACMNA079, NSW MA2-4NA, MA2-7NA
Explain multiplicative, standard and non-standard place value of decimals to hundredths.
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.

The number 53.27 is equal to
a) 5 tens + 2 ones + 3 tenths + 7 hundredths b) 5 thousands + 3 hundreds + 2 tens + 7 ones

The number 53.27 is equal to
a) 52 ones + 37 hundredths b) 53 hundreds + 27 ones

c) 5 tens + 3 ones + 2 tenths + 7 hundredths
c) 53 ones + 27 hundredths
Which measurement is equal to 156 centimetres?
0.156 m 1.56 m 15.6 m 156 m
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Problem Solving
Place Value 21, Fractions and Decimals 12 Multiplicative, standard and non-standard place value to hundredths.
The number 53.27 is equal to
a) 5 tens + 2 ones + 3 tenths + 7 hundredths
b) 5 thousands + 3 hundreds + 2 tens + 7 ones
c) 5 tens + 3 ones + 2 tenths + 7 hundredths
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
Place Value 21, Fractions and Decimals 12 Multiplicative, standard and non-standard place value to hundredths.
The number 53.27 is equal to
a) 52 ones + 37 hundredths
b) 53 hundreds + 27 ones
c) 53 ones + 27 hundredths
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
Place Value 21, Fractions and Decimals 12 Multiplicative, standard and non-standard place value to hundredths.
Which measurement is equal to 156 centimetres?
0.156 m 1.56 m 15.6 m 156 m
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving Steps (back to Problems)
the part of the problem
that is asking you to find something
out.
April had 12 biscuits.
She gave 2 to a friend and ate 3.
How many biscuits does April have left?
I think I have to find out...
http://www.alearningplace.com.au
the
information you need to find it out.
April had 12 biscuits.
She gave 2 to a friend and ate 3.
How many biscuits does April have left?
I need to know...
that you could use to find it out.
April had 12 biscuits.
She gave 2 to a friend and ate 3.
How many biscuits does April have left?
I could...
+ ÷
– x
to find it out.
April had 12 biscuits.
She gave 2 to a friend and ate 3.
How many biscuits does April have left?
I...
+ ÷
– x
that you have found out.
April had 12 biscuits.
She gave 2 to a friend and ate 3.
How many biscuits does April have left?
I have found out …