Fractions - Improper to mixed numbers (Cubes) - Worksheet

In a comprehensive worksheet designed for mastering the conversion between improper fractions and mixed numbers, students are introduced to the concept and practice of transforming one form into the other. An improper fraction, where the numerator exceeds the denominator, is to be converted into a mixed number, which comprises an integer and a proper fraction. The worksheet employs visual aids, such as cubes, to illustrate the process, helping children grasp the abstract mathematical concept more concretely. The National Curriculum objective for this lesson is to recognise and convert between mixed numbers and improper fractions, and to express mathematical statements greater than one as a mixed number.

The worksheet provides a variety of exercises to enhance students' fluency and precision in dealing with fractions. For instance, Whitney and Brandon use cubes to group and convert improper fractions like 17/7 and 28/6 into mixed numbers, reinforcing the understanding of the relationship between the parts and the whole. The children are prompted to fill in the gaps to represent the fractions and mixed numbers accurately. Key vocabulary such as 'improper fractions', 'mixed numbers', 'convert', 'numerator', 'denominator', and 'represent' are highlighted to build students' mathematical language. Additionally, the worksheet includes reasoning and problem-solving sections where students must determine the accuracy of statements and explain their answers, further deepening their comprehension of the topic.