Fractions - Multiply a Mixed Number by an Integer - Worksheet

The worksheet provided presents a series of exercises aimed at enhancing children's proficiency in multiplying mixed numbers by integers. The tasks require students to apply different methods such as repeated addition, separating the whole number and the fraction to multiply them individually, and converting the mixed number into an improper fraction before multiplication. To aid in visualising the process, bar models are used as a visual aid. The worksheet encourages children to further develop their understanding of fraction multiplication through engaging problem-solving and reasoning activities. They will be tasked with completing missing parts of calculations and solving multi-step problems that require them to multiply fractions by integers.

In addition to fluency and precision exercises, the worksheet includes challenges that prompt students to balance calculations and work through sequences from start to finish, filling in the blanks along the way. These exercises are designed to solidify the concepts learned and allow for practice using different preferred methods to complete the calculations. The reasoning and problem-solving section of the worksheet introduces real-world scenarios, such as comparing distances run by different individuals over a week, to contextualise the mathematical concepts. Students must work out missing numbers and use their mathematical reasoning to determine who has run the furthest, thereby applying their knowledge of multiplying mixed numbers by integers to practical situations.