Addition, Subtraction, Multiplication and Division - Long division - 3-digits by 2-digits (with remainders) - Planning

In the Year 6 mathematics curriculum, students progress to mastering long division with three-digit numbers divided by two-digit numbers, including calculations that result in remainders. The lesson starts with a review of the previous day's learning and a discussion about the concept of remainders. Students are encouraged to understand that a remainder is what's left after dividing when no more whole multiples of the divisor can be subtracted from the dividend. The class is then guided through examples, highlighting that a remainder must always be less than the divisor. Independent practice follows, where children apply their skills to various calculations, ensuring they correctly identify dividends and divisors and check their remainders.

The lesson includes group work where students engage in reasoning activities to deepen their understanding of division. They discuss statements to determine the accuracy of division facts and solve problems that require careful consideration of remainders, such as determining the number of coaches needed for a trip when there's a remainder of passengers. Key questions prompt students to think about the role of multiples in division, how to handle remainders, and the importance of context in rounding decisions. Misconceptions are addressed, such as the accurate recall of times tables, identifying the highest possible multiple, and placing answers correctly in line with place value. The lesson concludes with a reflective "Give me five" activity, where students assess their learning and skills used, ensuring they remember the key points of long division with remainders.