Multiplication and Division (2) - Division with remainders - Planning

In a Year 5 mathematics lesson, students delve into the concept of division with remainders. Utilising place value counters and worksheets, the class revisits the short division method and place value knowledge to understand how to handle remainders when dividing numbers. The lesson starts with a recap of the previous learning where students are reminded of the importance of remainders being smaller than the divisor. They are shown how to group place value counters into the divisor's multiples and how to exchange any excess into the next column. This visual representation is paired with the formal written method to reinforce the concept. Students practice this technique with various examples, learning to express remainders as fractions where necessary, and addressing common misconceptions such as the size of the remainder relative to the divisor.

The lesson continues with a practical application of division with remainders through a word problem about distributing doughnuts onto trays. Students discuss the steps needed to solve the problem and apply the short division method to find out how many trays are needed, considering the remainder. They conclude that an additional tray is required for the leftover doughnuts, rounding up the total number of trays. In group work, children complete reasoning tasks and independent activities with differentiated worksheets to further their understanding. The lesson concludes with a reflective 'Give me five' activity, where students consider what they've learned, the skills they've used, and what they found challenging. The lesson provides differentiated learning objectives, with some children working towards using completed tables to find division results with remainders, while others at greater depth tackle reasoning questions and multi-step word problems using their division skills.