Problem-solving Investigations - Year 6 Spring
The problem-solving investigations below match Hamilton’s weekly maths plans. We now also provide Year 6 maths as short blocks. We will eventually be phasing out the plans, as we believe our short blocks offer you all of the same advantages and more, including the integration of the problem-solving investigations into each unit of study. Find out more about the advantages of Hamilton's short blocks.
Please note, we do not provide Investigations for Year 6 Summer Term in order to make space for SATs.
Children play an adapted game of noughts and crosses, aiming to get negative number answers.
Children try to make every number to at least 10 using 6s, 7s and sometimes 2 and 3, and any operations.
Children add numbers with three decimal places to give a number with two decimal places, then add numbers with two decimal places to give a number with one decimal before finally adding numbers with one decimal place to give a whole number.
Children use a sequence of co-ordinates to create quadrilaterals.
Children multiply three-digit numbers with consecutive digits by a two-digit number; reverse the three-digit number and repeat. They look at the difference between the two answers.
Children design a dice such that the mean score is 5.
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 add a pair of fractions, multiply the same pair, then find the difference between the two answers, looking for patterns.
Children apply a combination of knowledge of 3D shape, area and volume to solve a problem that introduces surface area.
Children use what they know about how to find the areas of triangles and parallelograms to find the areas of rhombi, kites and trapezia.
Children identify a pattern in the division of a total of six numbers created using the same three digits. They use algebra to explain why it is so.