Fractions - Non-unit fractions - Worksheet

This worksheet is a comprehensive resource for Year 6 students learning about unit and non-unit fractions as part of their mathematics curriculum. The lesson aims to help students recognise, find, name, and write fractions such as 1/2, 1/3, 1/4, 2/4, and 3/4, whether these fractions represent a length, shape, a set of objects, or a quantity. The worksheet provides differentiated sheets and teaching slides to accommodate varying levels of student ability, from those working towards expected levels to those capable of greater depth understanding. Students are introduced to key vocabulary including 'fractions', 'quantity', 'unit fraction', 'non-unit fractions', 'halves', 'thirds', 'quarters', 'denominator', 'numerator', and 'represent'. The activities guide students to recognise that when the numerator and denominator are equal, the fraction represents one whole.

The worksheet includes a variety of tasks designed to develop fluency and precision in dealing with fractions. Students are asked to identify what fraction of an object or shape is circled or shaded, categorise fractions as unit or non-unit, and complete tables that help consolidate their understanding of how different fractions relate to a whole. The reasoning and problem-solving section challenges students to sort fractions into a table, identify mistakes in fraction representation, and understand the relationship between numerators and denominators. For instance, students are presented with scenarios such as Malachi's error, where they must deduce why a fraction like 2/2 represents one whole and not two separate parts. This engaging activity not only tests their knowledge but also encourages critical thinking and a deeper comprehension of fractions.