Problem solving

Problem-solving Investigations - Year 2

Problem-solving investigations provide a fun, stimulating context in which children can develop and exercise their ability to reason mathematically and think creatively. They provide extra skills practice and also provide a real challenge if the skill itself is proving undemanding for some children.

These problems  are designed to help children identify patterns, explore lines of thinking and investigate properties of numbers, shapes and measures. They can be used alongside the Hamilton plan for the week or independently. The teacher instructions for the whole term are collated in the Overview. Ruth's Advice gives some background and tips for using these investigations with your pupils.

Supporting documents for set
  • Week
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1
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Mixed bags

Children look for multiples of 2p and 5p, then 3p and 5p with given totals to solve a problem on Tri Island.  

2
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Diagonal hundreds

Children use trial and improvement to place numbers in a grid to give a pair of diagonals whose sum is equal to 100.

3
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One pound names

Children add up amounts to find out how much their name is worth! They try to give themselves a new name that is worth exactly a pound.

4
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Left overs

Children investigate which numbers leave 1 left over when divided by 5.

5
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Golden numbers

Children explore which numbers are ‘golden numbers’ when we are counting in steps of different sizes. They begin to derive an understanding of factors.

6
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SATs this week: no investigations

No investigations for SATs week. Good luck!

7
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Investigation is embedded in this week's maths plan

Because this week’s maths plan (select ‘New National Curriculum’ in the left-hand navigation) is investigative in nature, there is no stand-alone investigation here.

8
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Make it equal

Children find pairs of numbers to satisfy an equality.  The look for patterns and test ideas.

9
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Sixteen rocks

Children arrange place value cards to make three-digit numbers and then add the digits. They look at patterns.

10
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Investigation is embedded in this week's maths plan

Because this week’s maths plan (select ‘New National Curriculum’ in the left-hand navigation) is investigative in nature, there is no stand-alone investigation here.

11
+ Details
Investigation is embedded in this week's maths plan

Because this week’s maths plan (select ‘New National Curriculum’ in the left-hand navigation) is investigative in nature, there is no stand-alone investigation here.