Statistics and Probability 16_Problem Solving
(Year 5) ACMSP118, ACMSP119, ACMSP120, ACMSP116, ACMSP117 NSW MA1 11MG
Identify outcomes of chance experiments, list probabilities using fractions, verify their sum equals 1, likelihood of winning a game.
PROBLEM SOLVING
The formulation of a problem is far
more essential than its solution,
which may be merely a matter of
mathematical or experimental skills.
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.
It’s not that I’m
so smart
– I just stay with
problems longer.
The problem solving steps may be followed to solve problems.

Benny spins the arrow on this spinner.
What number did he choose?

Benny made a spinner with 3 numbers. The probability of each outcome using fractions is
What could the spinner look like?
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Email: [email protected]
Twitter: @learn4teach
Benny selected a number with a probability of
1
,
6
2
6
and
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3
6
1
6
.
.
Facebook: A Learning Place
1

Describe the probabilities of each outcome on this spinner using fractions, verifying that
the sum of the probabilities is 1.

Describe the probabilities of each outcome on this spinner using fractions, verifying that
the sum of the probabilities is 1.

Describe the probabilities of each outcome on this spinner using fractions, verifying that
the sum of the probabilities is 1.

In a bag there were 20 counters of 3 different colours. The probabilities of selecting 2 of the colours are
probability of selecting the third colour?
http://www.alearningplace.com.au
1
20
and
9
20
. What is the
Problem Solving
STATISTICS AND PROBABILITY 16 Identify outcomes of chance experiments, list probabilities using fractions, verify their sum equals 1,
likelihood of winning a game.
Benny spins the arrow on this spinner.
selected a number with a probability of 16.
Benny
What number did he choose?
Make up your own problem!
Website: http://www.alearningplace.com.au
Problem Solving
STATISTICS AND PROBABILITY 16 Identify outcomes of chance experiments, list probabilities using fractions, verify their sum equals 1,
likelihood of winning a game.
Benny made a spinner with 3 numbers.
The probability of each outcome using
1
2
3
fractions is ,
and .
6
6
6
What could the spinner look like?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
STATISTICS AND PROBABILITY 16 Identify outcomes of chance experiments, list probabilities using fractions, verify their sum equals 1,
likelihood of winning a game.
Describe the probabilities of each
outcome on this spinner using
fractions, verifying that the sum of the
probabilities is 1.
Make up your own problem!
Website: http://www.alearningplace.com.au
Problem Solving
STATISTICS AND PROBABILITY 16 Identify outcomes of chance experiments, list probabilities using fractions, verify their sum equals 1,
likelihood of winning a game.
Describe the probabilities of each outcome on this
spinner using fractions, verifying that the sum of
the probabilities is 1.
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
STATISTICS AND PROBABILITY 16 Identify outcomes of chance experiments, list probabilities using fractions, verify their sum equals 1,
likelihood of winning a game.
Describe the probabilities of each
outcome on this spinner using fractions,
verifying that the sum of the probabilities
is 1.
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
STATISTICS AND PROBABILITY 16 Identify outcomes of chance experiments, list probabilities using fractions, verify their sum equals 1,
likelihood of winning a game.
In a bag there were 20 counters of 3
different colours.
The probabilities of selecting 2 of the
1
9
colours are
and
.
20
20
What is the probability of selecting the third
colour?
Make up your own problem!
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
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