**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 6 Spring

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.

**Please note, we do not provide Investigations for Year 6 Summer Term in order to make space for SATs.**

- Week
- Title
- Download

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 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 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.