Fractions - Problem solving with fractions - Worksheet

The "Problem Solving with Fractions" worksheet is a comprehensive resource designed to help Year 6 students master the concept of fractions as part of their mathematics curriculum. The National Curriculum objective covered in this lesson is to recognise, find, name, and write fractions such as 1/3, 1/4, 1/2, and 3/4 of a length, shape, set of objects, or quantity, including writing simple fractions and understanding equivalence. Students are provided with a worksheet and teaching slides, and they may use additional paper to show their working if needed.

The vocabulary for this lesson includes terms like whole, part, half, quarter, fraction, shapes, quantity, and group. Students are tasked with solving one-step and multi-step problems using their knowledge of fractions, supported by visual aids such as pictures, bar models, and grouping tools. They will work primarily with halves and quarters, and some activities will also involve recognising one third in shapes and quantities. The worksheet offers differentiated activities to cater to various levels of understanding, from 'Working Towards' to 'Greater Depth', ensuring that all children can engage with the material at a suitable level. Key questions prompt students to think critically about fraction sizes and the relationship between different fractions and wholes, while reasoning and problem-solving sections challenge them to apply their knowledge in various contexts.