Fractions - Add and Subtract Fractions (2) - Planning

The third week of the Autumn term for Year 6 delves into the complexities of adding and subtracting fractions with different denominators, a task that requires a solid understanding of several key mathematical concepts. In this series of lessons, students are encouraged to explore the process of finding the lowest common multiple (LCM) to convert fractions into equivalent fractions with a common denominator. The initial activities focus on partner discussions to grasp why finding a common denominator is more challenging when the denominators are not multiples of the same number. Students are taught to multiply the denominators to find a common base and practice this skill with examples provided in the presentation slides. As the lesson progresses, word problems are introduced, requiring students to apply their knowledge to solve problems involving the addition and subtraction of two and eventually three fractions, while converting improper fractions into mixed numbers where necessary.

Group work plays a significant role in reinforcing the learning objectives, with children working together on reasoning activities that challenge them to find common denominators and simplify their answers. The lesson plan also includes independent activities with differentiated worksheets to cater to varying levels of fluency and reasoning skills. Throughout the lesson, key questions prompt students to reflect on the LCM and the order of differences when subtracting fractions. Common misconceptions are addressed, such as the importance of multiplying denominators to find the LCM and the need to simplify final answers. By the end of the lesson, students are expected to have improved their ability to add and subtract fractions with different denominators, to find fractions of amounts, and to confidently solve one-step or two-step word problems involving fractions, with the aim of reaching greater depth in understanding and application.