Fractions - Mix of multiplying and dividing - Worksheet

The worksheet from masterthecurriculum.co.uk is tailored for students to practice their fluency and precision in multiplying and dividing fractions. The lesson aims to help children divide proper fractions by whole numbers, even when the numerator is not a multiple of the integer they are dividing by. Using differentiated sheets and teaching slides, students are encouraged to explore the patterns in fraction division, such as noticing that the denominator remains constant while the numerator is divided by the integer. The vocabulary for the lesson includes terms such as fractions, numerator, denominator, division, multiple, integer, patterns, convert, and improper fraction. Students are expected to use pictorial representations to aid their understanding of the concepts and solve one-step and two-step multiplication and division problems, which may involve shading diagrams to visually represent the calculations.

To deepen their understanding, students engage in reasoning and problem-solving activities. For learners working towards the expected level, they will identify the odd one out in a set of calculations and pinpoint mistakes in simpler fractions. Those working within the expected level will tackle similar tasks with standard fractions, while students at greater depth will handle more complex fractions. Key questions guide the students to recognize patterns when dividing fractions and to convert mixed numbers to improper fractions for easier calculation. The activities aim to help students find equivalent fractions and understand the relationship between multiplication and division when dealing with fractions. Through these exercises, children learn to apply their knowledge to a variety of scenarios, enhancing their mathematical reasoning skills.