Problem solving

Problem-solving Investigations - Year 1/2

Hamilton provide weekly Mixed Year 1/2 maths problem-solving investigations (below). These mixed-age investigations below will be phased out when we phase out our mixed age weekly maths plans.  Year 1/2 short maths blocks will be coming during Summer Term for September 2019 and will include investigations for every unit. Find out more about the timetable for Hamilton's Y1/2 maths blocks, including investigations.

Supporting documents for set
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Fill the box (Y1), Dancing digits (Y2)

Fill the box (Y1): Children fill a matchbox with items and count them accurately.  Dancing digits (Y2): Children use place value addition and subtraction to write chains which 'swap' the 10s and 1s digits.

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Addition towers

Children find the total number of spots on two dice in a game context, and consider why some totals come up more frequently than others.

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Make 20

Children use coins and number shapes to make a total of 20.

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Make a stick

Children find a collection of items which in total measure exactly one metre in length.

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Spot the difference

Year 1: Children find dominoes where one side has one more spot than the other, and then where one side has two more spots than the other.  Year 2 Children make 2-digit numbers using dominoes and find which complements to the next 10 are possible.

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Tricky tracks (Y1), Guess the starter (Y2)

Tricky tracks (Y1): Children use reasoning and logic to play ahead in playing a game on a 1-20 track.  Guess the starter (Y2): Children use their knowledge of inverse operations to work out the 'starter' numbers round multiplication grids.

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Sock doubles (Y1), Digit sums (Y2)

Sock doubles (Y1): Children double numbers 1 to 5 as part of a game, and find which answers from 1 to 10 are possible.  Digit sums (Y2): Children find the sum of the digits in a sequence of numbers and compare the pattern found to that identified in the digit sums of the doubles.

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Shape wheels

Children make a sequence of coloured shapes, changing one attribute at a time so that the sequence can end where it started, forming a circular sequence.

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Count down to zero

Year 1: Children take turns to subtract 1 or 2 from numbers up to 10.  Year 2: Children take turns to subtract 1, 2 or 3 from a two-digit number greater than 20. They use strategies to help them win the game by reaching zero first.

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Domino loop

Children make loops of dominoes such that meeting ends have a given total number of spots.

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Square tens

Children find pairs of dominoes such that the total number of spots is 10, 12 or 20.