Fractions - Compare and order (denominator) (2) - Worksheet

In the "Compare and Order (Denominator)" worksheet, students are tasked with comparing and ordering fractions based on their denominators. The National Curriculum objective for this lesson is to compare and order fractions, including those greater than 1. To achieve this, students use their understanding of equivalent fractions, particularly when denominators differ. The key is to find the lowest common multiple of the denominators to create equivalent fractions with the same denominator, allowing for direct comparison of the numerators. Vocabulary such as 'equivalent fractions', 'denominator', 'numerator', 'multiples', and 'lowest common multiple' is crucial in this lesson. The worksheets provide a range of tasks, from ordering fractions with two or three denominators to those with more than three, as well as finding missing numbers to maintain the correct order of a sequence of fractions.

Students further develop their skills through reasoning and problem-solving exercises. They are encouraged to use number sense to visualise fraction sizes and to consider how fractions relate to one another on a number line, particularly in relation to the value of a half. The tasks involve both ascending and descending orders, and students must identify the greatest and smallest fractions within a set. For mixed numbers, students are prompted to consider if whole numbers need to be compared. These activities help students deepen their understanding of fractions and their relationships, providing a solid foundation for mathematical fluency and precision in dealing with fractions.