Solve problems involving fractions of amounts

In the ArithmeKit 6.10, students are tasked with dividing whole numbers using efficient methods and solving problems that involve fractions of amounts. The exercise requires them to match calculations that are equivalent, testing their understanding of fractions and division. For example, they must determine what fraction of various numbers such as 45, 90, 27, and 36 correspond to given fractions like 3/5, 1/6, 2/3, and 1/4. This activity not only reinforces their arithmetic skills but also enhances their ability to recognise equivalent values. The resource provides a structure for creating their own matching pairs problems, encouraging them to apply their knowledge creatively.

Another part of the ArithmeKit, specifically the 6.15a and 6.15b sections, delves deeper into solving problems involving fractions of amounts. Students are presented with a series of fractions and must calculate the corresponding part of given whole numbers, such as finding 1/12 of 48 or 3/8 of 60. The exercises are designed to help students visualise fractions through the use of bar models, which can be particularly helpful when dealing with more complex fractions. This approach is intended to solidify their understanding of how to work with fractions in various contexts, providing a foundation for more advanced mathematical concepts.