Fractions - Improper to mixed numbers (Cubes) - Planning

In Year 5's Spring term, students embark on a mathematical journey to understand the conversion of improper fractions to mixed numbers using a hands-on approach with cubes. The lesson begins with a review of the difference between improper fractions, where the numerator is greater than the denominator, and proper fractions. Students engage in discussions to identify and categorise fractions and to define mixed numbers as a combination of a whole number and a fraction. The lesson plan includes a variety of resources such as cubes, worksheets, and a presentation to support the learning process. Through the use of cubes, students visualise the conversion process by grouping cubes to correspond with the denominator and identifying the remainder to form the fractional part of the mixed number. This tangible method helps solidify their understanding of the relationship between improper fractions and mixed numbers.

Building on the cube activity, the lesson introduces bar modelling as another visual strategy to reinforce the concept. Students observe how each bar represents a whole, divided into parts equal to the denominator. Through division, they determine the number of whole bars and the leftover parts, which form the fractional component of the mixed number. The lesson encourages partner discussions, independent learning through differentiated worksheets, and a plenary session to address misconceptions. Students are prompted to reflect on the skills they used, such as grouping, counting, and division, and to remember the process of converting improper fractions to mixed numbers. The lesson's structure is designed to cater to different levels of understanding, from working towards fluency to achieving greater depth, by providing appropriate challenges and problem-solving opportunities.