Fractions - Divide fractions by integers (2) - Worksheet

The worksheet titled "Divide Fractions by Integers (2)" is an educational resource designed to help Year 6 students master the concept of dividing proper fractions by whole numbers. The National Curriculum objective for this lesson is to enable children to divide proper fractions by integers. To achieve this, students are provided with differentiated sheets and teaching slides. The key vocabulary for the lesson includes terms such as fractions, numerator, denominator, division, multiple, integer, patterns, convert, improper fraction, and equivalent fractions. These terms are crucial for understanding the process of dividing fractions by integers.

The exercises on the worksheet guide students through dividing fractions where the numerator is not a multiple of the integer divisor. They are encouraged to draw diagrams to visualise the division of fractions into equal parts and explore the connection between multiplying by a unit fraction and dividing by an integer. To facilitate the division process, students learn to find equivalent fractions. The worksheet also challenges students with reasoning and problem-solving activities, where they must calculate missing fractions and integers, and address misconceptions such as the false belief that division can only occur if the numerator or denominator is a multiple of the divisor. Through these activities, students are taught that any fraction can be divided by an integer and are encouraged to look for patterns to find multiple possible solutions.