Problem solving

Problem-solving Investigations - Year 5/6

Hamilton provide weekly Mixed Year 5/6 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 5/6 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 Y35/6 maths blocks, including investigations.

Supporting documents for set
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Giant domino addition

Children follow a logic to convert arrangements of dominoes to numbers and then perform a giant addition.  They then create their own domino additions.

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Adding even and odd amounts

Children create two amounts of money, one with even digits, one with odd digits and add these.  They look for patterns of even/odd in the total.

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Children subtract 4-digit and 5-digit numbers and look for patterns in the digital roots.

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Polygon dissections

Children cut squares, rectangles and regular polygons into two parts and see what new shapes they can make by putting the two parts together in different ways.

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Long as you like

Children create chains of numbers by finding factors and multiples.  Their aim is to create the longest chain possible.

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Excellent eights

Children explore patterns when multiplying numbers with consecutive digits by 8.

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Remainders rule!

Children find numbers between 100 and 200 that will give a remainder when divided by numbers 2 to 9.

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Talisman squares

Children find differences between adjacent numbers on a 4 x 4 grid and then explore arrangements on a 3 x 3 grid.

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Digits of time

Children find out how many times the digit 9 is used on the 24 hour digital clock between noon and midnight.

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Oddly friendly fractions

Children create fractions with related denominators (Y5) or unrelated denominators (Y6) and then add these, turning improper fractions into mixed numbers.

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Magic star additions

Children explore addition patterns on a star derived from a simple magic star.