MULTIPLICATION AND DIVISION 6, MONEY AND FINANCIAL MATHEMATICS 8_PROBLEM SOLVING
(Year 2) ACMNA034, NSW MA1-6NA
Quarter a group, linked to dividing by 4 by dividing into 4 equal groups.
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 – or at all. The focus of problem solving is the development
of problem solving understanding and capacity – not mastery! 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.
Create 3 levels of a problem. GUIDE children through the first level using the problem solving steps. Allow children to investigate the second level
with friends, with minimal guidance. Allow children to investigate the third level INDEPENDENTly. Children create their own problem.
Teaching Segment and Video 1:
Equivalent amount 1
Equivalent amount 2
More problems
Equivalent amount 3
These problems are directly linked to Explicit Teaching and appear on this PDF, are embedded in the Explicit Teaching Plan, appear on the Investigation
PDF and the Explicit Teaching PowerPoint, and are differentiated into 3 levels on the Problem Solving PowerPoint.

Jon had three 10 cent coins. How much money does he have? (30)

Henry changed his 50 cent coin for 5 coins with all the same value. What coins did Henry swap his 50 cent coin
for? (5 x 10c)
These problems are not directly linked to Explicit Teaching and appear here and are differentiated into 3 levels on the Problem Solving PowerPoint.

How many 5 cent coins do I need to make 20 cents? (4)
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Equivalent amount 4

Henry had a 50 cent coin. Kelly had the same amount in coins with all the same value. What coins could Kelly
have? (5 x 10c, 10 x 5c)
Equivalent amount 5

In my pocket I have 3 coins with all the same value. What is the lowest amount of money I could have? (3 x 5c =
15c)
Equivalent amount 6

In my pocket I have 3 coins with all the same value. What is the highest amount of money I could have? (3 x $2 =
$6)
Equivalent amount 7

Equivalent amount 8

In my pocket I have 3 coins all with the same value. How much money could I have? (3 x 5c = 15c or 3 x 10c = 30c or
3 x 20c = 60c or 3 x 50c = $1.50 or 3 x $1 = $3 or 3 x $2 = $6)
In my pocket I have 4 coins with all the same value. What amount of money is it impossible that I could have?
20c
Equivalent amount 9

40c
50c
80c (50c)
I have enough money to buy an apple that costs 45c. I have 3 coins in my pocket all with the same value. What
coins could I have in my pocket? (3 x 20c = 60c or 3 x 50c = $1.50 or 3 x $1 = $3 or 3 x $2 = $6)
http://www.alearningplace.com.au
Problem Solving
MULTIPLICATION AND DIVISION 6, MONEY AND FINANCIAL MATHEMATICS 8 Multiplication of coins and notes to make equivalent values.
Jon had three 10 cent coins.
How much money does he have?
Hint: Change the number and value of coins or notes, and
allow children to solve again!
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
MULTIPLICATION AND DIVISION 6, MONEY AND FINANCIAL MATHEMATICS 8 Multiplication of coins and notes to make equivalent values.
Henry changed his 50 cent coin for 5 coins
with all the same value.
What coins did Henry swap his 50 cent coin
for?
Hint: Change the value of the coin or note and the number
of coins or notes, and allow children to solve again!
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
MULTIPLICATION AND DIVISION 6, MONEY AND FINANCIAL MATHEMATICS 8 Multiplication of coins and notes to make equivalent values.
How many 5 cent coins do I need to make 20 cents?
Hint: Change the values of the coins or notes, and
allow children to solve again!
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
MULTIPLICATION AND DIVISION 6, MONEY AND FINANCIAL MATHEMATICS 8 Multiplication of coins and notes to make equivalent values.
Henry had a 50 cent coin.
Kelly had the same amount in coins with
all the same value.
What coins could Kelly have?
Hint: Change the value of the coin or note, and allow
children to solve again!
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
MULTIPLICATION AND DIVISION 6, MONEY AND FINANCIAL MATHEMATICS 8 Multiplication of coins and notes to make equivalent values.
In my pocket I have 3 coins with all the same value.
What is the lowest amount of money I could have?
Hint: Change the number of coins, and allow children
to solve again!
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
MULTIPLICATION AND DIVISION 6, MONEY AND FINANCIAL MATHEMATICS 8 Multiplication of coins and notes to make equivalent values.
In my pocket I have 3 coins with all the same
value.
What is the highest amount of money I could
have?
Hint: Change the number of coins, and allow children to
solve again!
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
MULTIPLICATION AND DIVISION 6, MONEY AND FINANCIAL MATHEMATICS 8 Multiplication of coins and notes to make equivalent values.
In my pocket I have 3 coins all with the same value.
How much money could I have?
Hint: Change the number of coins, and allow children to
solve again!
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
MULTIPLICATION AND DIVISION 6, MONEY AND FINANCIAL MATHEMATICS 8 Multiplication of coins and notes to make equivalent values.
In my pocket I have 4 coins with all the same
value.
What amount of money is it impossible that I
could have?
20c
40c
50c
80c
Hint: Change the number of coins, and allow children to
solve again!
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
MULTIPLICATION AND DIVISION 6, MONEY AND FINANCIAL MATHEMATICS 8 Multiplication of coins and notes to make equivalent values.
I have enough money to buy an apple that costs
45c.
I have 3 coins in my pocket all with the same
value.
What coins could I have in my pocket?
Hint: Change the value of the item and number of coins,
and allow children to solve again!
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