**Maths**: Hamilton's short maths blocks have all the benefits of our weekly plans. They also provide support and resources that were simply not possible when we produced the weekly plans. Find out about the advantages of short blocks.

# Problem-solving Investigations - Year 5/6

Hamilton provide weekly Mixed Year 5/6 maths problem-solving investigations. The mixed-age investigations below will be phased out when we phase out our mixed age weekly maths plans.

Mixed-age 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 Y5/6 maths blocks, including investigations.

- Week
- Title
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Children play an adapted game of noughts and crosses, aiming to get negative number answers.

Children find patterns in the differences when pounds and pence are reversed.

Children use an incomplete magic square to explore patterns in the addition of four numbers.

Year 5: Multiply four-digit numbers with consecutive digits by a single-digit number; reverse the four-digit number and repeat. Find the difference between the two answers. Year 6: Multiply three-digit numbers with consecutive digits by a two-digit number; reverse the three-digit number and repeat. Find the difference between the two answers.

Children add fractions with related denominators and find equivalent fractions to identify patterns.

Year 5: Children use short division to divide 3-digit numbers with consecutive digits by 12. They reverse the digits in the 3-digit number and repeat, then find the difference between the two answers. Year 6: As year 5: but children use long division to divide 3-digit numbers by 2-digit numbers less than 30.

Children cut squares from a square piece of paper, fold up the sides to form an open cuboid and find out which size will hold the most cm³ cubes.

Mobile differences (Y5): Children use trial and improvement to find the largest and smallest possible differences using numbers selected to given criteria. Geometry genius (Y6): Children use what they know about how to find the areas of triangles and parallelograms to find the areas of rhombi, kites and trapezia.

Decimal difference (Y5): Children subtract pairs of numbers with consecutive digits and different numbers of decimal places, and look for patterns in their answers. Stars and crosses (Y6): Children find totals of the numbers in shapes on a 1-100 grid, make generalisations and then write a formula to find the total of any similar shape on the grid.

Children look at patterns of remainders in four-digit numbers when dividing by numbers 3 to 6. The can establish a rule.