Problem-Solving Investigation: Regular and irregular areas; volumes. (Year 5 Measures and Data)

Year 5 Problem-Solving Investigations: Measures and Data

These in-depth maths investigations are open-ended problem solving activities for Year 5 children. **In-depth Investigation: Digits of Time** Children find out how many times the digit 9 is used on the 24 hour digital clock between noon and midnight. **In-depth Investigation: Roomy Boxes** 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 1cm3 cubes. **In-depth Investigation: Alternating Chains** Children create chains of alternating positive and negative numbers and explore the patterns in their totals. These investigations will develop maths meta-skills, support open-ended questioning and logical reasoning, and enable children to learn to think mathematically and articulate mathematical ideas. These problem-solving investigations come from our [Year 5 Maths Blocks](https://www.hamilton-trust.org.uk/maths/year-5-maths/). Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.