Fractions - Multiply a Mixed Number by an Integer - Planning

In a comprehensive lesson aimed at Year 5 students during their Spring term, the focus is on multiplying mixed numbers by integers. The lesson is structured to reinforce their understanding of fractions through various activities and methods. Initially, students recap on previous learning and are then introduced to the concept of multiplying mixed numbers by whole numbers. The class explores different visual aids such as bar models to aid comprehension. The first activity demonstrates how to use repeated addition to multiply a mixed number like 2¾ by 2, guiding students through the process of separating and then combining whole numbers and fractions. The children practice this method, ensuring they simplify the resulting improper fraction to its simplest mixed number form.

Subsequent activities involve partitioning mixed numbers using bar models, with the children multiplying the whole number and fractional parts separately before combining and simplifying them. Another strategy taught is converting mixed numbers into improper fractions before multiplication, reinforcing the concept that the denominator remains unchanged during the process. Students engage in group work and independent exercises, using differentiated worksheets to consolidate their understanding. The lesson encourages critical thinking with key questions and addresses common misconceptions. By the end of the session, students are expected to have a firmer grasp on multiplying mixed numbers by integers, having used various skills such as repeated addition, partitioning, and converting between mixed and improper fractions, all while applying these techniques to solve problems of increasing complexity.