Addition, Subtraction, Multiplication and Division - Long division - 4-digits by 2-digits (with remainders) - Presentation

This engaging lesson is centred on mastering long division with four-digit numbers divided by two-digit numbers, incorporating remainders. It represents the culmination of a series on division, aimed at securing students' understanding of the process when faced with two-digit divisors. The lesson poses a thought-provoking question about the size of remainders in relation to the divisor, prompting students to consider when a remainder should be larger than the divisor and to articulate their reasoning. Through a series of activities, pupils are encouraged to apply their knowledge of multiples to aid in the division process. For instance, they are tasked with dividing numbers such as 2,637 by 16 and 4,203 by 18, using long division to find the quotient and remainder.

Throughout the lesson, students are presented with practical scenarios that require division, such as determining the number of coaches needed to transport 7,849 concert-goers, each coach holding 64 people. This real-world application reinforces the concept of rounding up when the remainder indicates the need for an additional coach. Additionally, reasoning exercises challenge pupils to predict remainders and identify patterns, such as when dividing 2,633 by 12, and to explore which numbers up to 20 are factors of 3,236 without leaving a remainder. The lesson also delves into critical thinking questions, like the role of subtraction in division and how to handle remainders, thereby deepening students' conceptual understanding of long division.