Double and halve numbers

The ArithmeKit 4.18 from Buzzard Publishing's CanDoMaths series is an engaging resource designed to help students practice the concepts of doubling and halving numbers. It includes a variety of exercises that require learners to find matching numbers and identify patterns. For example, when given a starting number and its double, students must determine the corresponding half. They are encouraged to notice what is missing and to create their own matching problems, which promotes deeper understanding and application of the concepts. Additionally, there are tasks where students must fill in missing digits to complete a set of true statements, using each of the digits 0-9 exactly once, thus combining their knowledge of double and halves with problem-solving skills.

The kit also contains practical exercises that challenge students to double and halve four-digit numbers, either provided directly or constructed using specific digits. When doubling numbers like 3452 and 5714, or halving numbers such as 8126 and 6795, students are expected to perform these calculations accurately. Moreover, the resource prompts learners to consider whether certain statements about doubling and halving are sometimes, always, or never true, further enhancing their critical thinking. For instance, they are asked to use practical resources to demonstrate that doubling a number with 5 hundreds results in an odd number of thousands, and to explore the outcomes of halving four-digit numbers. This comprehensive approach ensures that students not only practice arithmetic but also develop a strong conceptual grasp of numerical relationships.