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

The lesson on 'Division with Remainders' is part of a series of Fluency & Reasoning Teaching Slides, aimed at enhancing students' understanding of short division when remainders are present. The lesson prompts students to recall why certain calculations result in a remainder and then delves into the process of division using place value counters and short division methods. Through a series of activities, learners are encouraged to divide numbers with different place values—thousands (TH), hundreds (H), tens (T), and ones (O)—and to interpret the remainders that result from these divisions. Examples provided include 6,613 divided by 5, 2,471 divided by 3, and 9,363 divided by 4, each illustrating the use of place value counters to support the division process.

Further practical application of division with remainders is explored through word problems. One scenario involves calculating the number of trays needed for 5,366 doughnuts if each tray holds six doughnuts. Students are required to determine both the number of full trays and the remainder of doughnuts that do not fit into a tray. Another activity encourages creative thinking by asking students to write number stories that involve rounding remainders up or down, or finding the exact remainder, such as the example of packing footballs into bags. Additionally, reasoning tasks challenge students to deduce a three-digit number based on its remainders when divided by 9, 2, and 5. The lesson concludes with independent work where learners apply their skills to complete calculations and solve word problems using short division, further discussing the significance of remainders in various contexts.