Divide whole numbers by a multiple of 10 mentally using place value

ArithmeKit 3 23, published by Buzzard Publishing in 2016 as part of the CanDoMaths series, provides a comprehensive approach to dividing whole numbers by multiples of 10 using mental methods and place value understanding. The resource includes a variety of activities such as finding matching pairs, creating problems, and calculating divisions. For example, students are tasked with finding what's missing in a series of division problems like 300 ÷ 50, which equals 5, and 160 ÷ 40, which equals 6. They are encouraged to notice patterns, such as how dividing by a factor of 5 across different numbers consistently increases the quotient by a set amount. This is illustrated with sequences like 15 ÷ 5 = 3, 20 ÷ 5 = 4, up to 35 ÷ 5 = 7, and the corresponding multiples of 10, such as 150 ÷ 5 = 30.

The kit also challenges students to use logical reasoning with statements made by characters such as Colin, who claims that the answer to 320 ÷ 4 is ten times larger than the answer to 320 ÷ 40, prompting students to agree or disagree based on their understanding of place value. Additionally, students are invited to fill in missing digits to complete division statements correctly, using each digit from 0 to 9 exactly once. Practical exercises are included to reinforce concepts, for instance, convincing someone that 240 ÷ 30 is equivalent to 24 ÷ 3, illustrating the simplification of division problems through understanding place value shifts. The resource is designed to enhance mental calculation skills, with a focus on 'in your head' strategies and simple jottings to support the thought process.