Fractions - Find a third - Worksheet

The worksheet titled "Fractions - Find a third" is designed to help Year 6 students master the concept of finding one third of various quantities. The National Curriculum objective covered by this lesson is to recognise, find, name, and write fractions such as 1/2, 1/3, 1/4, 2/4, and 3/4 of a length, shape, set of objects, or quantity. To facilitate learning, differentiated sheets and teaching slides are provided, along with cubes or other concrete resources to offer hands-on experience. The key vocabulary for this lesson includes terms like recognise, find, third, represent, divide, share, quantity, whole, and equal. Students will utilise their division and sharing skills to determine a third of different quantities, supported by concrete and pictorial representations to enhance their understanding.

Throughout the lesson, students are encouraged to engage with several key questions that prompt them to think about the composition of the whole and how it can be divided into three equal parts. They are asked to consider what changes and what remains constant when the whole amount is altered, as well as to justify whether the answer still represents a third. The tasks range from finding a third of simple amounts with the aid of cubes for visualisation to tackling larger quantities and two-step problems that require a deeper understanding of fractions. The worksheet also includes reasoning and problem-solving activities, such as determining the length of a whole piece of tape when one third is known, or identifying numbers based on a fraction of their value. These exercises aim to deepen the students' comprehension of fractions and their practical applications in real-life scenarios.