Divide numbers using efficient written or mental methods

The educational material from Buzzard Publishing's CanDoMaths ArithmeKit presents a series of division exercises designed to help students in Year 5 and Year 6 develop their skills in dividing numbers using both written and mental methods. The exercises challenge students to determine the most efficient method for various calculations, such as dividing large numbers by single or double-digit divisors. For example, students are asked to divide numbers like 30,000 by 50, or 720 by 0.6, using both a written method and mental calculations with possible jottings to aid the process. The aim is to compare the efficiency of each approach and identify which method is best suited to each type of division problem.

In addition to these exercises, the students are encouraged to solve problems with negative numbers, round decimal numbers, and multiply numbers using factors or partitioning. The material includes problems that require students to use efficient written methods, such as dividing 176 by 11, and prompts them to justify their choice of method. It also invites students to create their own missing digits problems, providing an opportunity for deeper engagement with the concept of division. The exercises are designed to help students recognize patterns in division and to decide when it is more appropriate to use mental calculations or when a written method is necessary for accuracy and efficiency.