Fractions - Multiply a Non-Unit Fraction by an Integer - Planning

In this Year 5 mathematics lesson, students build upon their understanding of fractions by learning how to multiply a non-unit fraction by an integer. The lesson begins with a recap of multiplying unit fractions, setting the stage for the new concept. Using a variety of resources such as worksheets and presentations, the class is introduced to key vocabulary including terms like 'integer', 'proper fraction', 'improper fraction', and 'mixed number'. Students are encouraged to use 'repeated addition', 'bar models', and 'number lines' as visual aids to grasp the multiplication process. The lesson is structured with a starter activity, followed by class teaching input, independent learning, and a concluding plenary session where students complete 'fluent in four' questions to demonstrate their understanding.

During the lesson, students engage in practical activities to reinforce their learning. Activity 1 involves using repeated addition to multiply fractions, such as demonstrating that 2 × 1/9 equals 2/9. In Activity 2, students use a bar model to visualise and solve a problem like 2 × 2/5, discussing the steps involved in this method. Activity 3 introduces a number line to solve similar problems, highlighting the differences between this and the bar model approach. Students work in groups to tackle reasoning questions and apply their knowledge to different scenarios. As the lesson concludes, they reflect on what they've learned, the skills they've used, and any challenges they faced. The lesson caters to varying levels of ability, from those 'working towards' to those achieving 'greater depth', ensuring every student can progress in their understanding of multiplying fractions by integers.