Fractions - Subtract Mixed Numbers – Flexible Partitioning (Breaking the whole) - Worksheet

In this worksheet, children apply their understanding of fractions to tackle the task of subtracting mixed numbers. The exercise requires them to break down one of the whole numbers and use a strategy known as flexible partitioning. This method allows them to reconfigure a mixed number into a more manageable form for subtraction. The worksheet guides students through a sequence of steps, initially providing examples and then encouraging them to independently work out problems using mixed numbers. The goal is to help them spot mistakes and achieve fluency in the flexible partitioning technique, recording their calculations neatly in their books.

The exercises progress with reasoning and problem-solving tasks that further deepen the students' comprehension of subtracting fractions involving mixed numbers. For example, they might encounter a subtraction problem like 5 1/3 - 4 6/5 and use flexible partitioning to solve it. The worksheet presents various subtraction problems, each requiring the student to apply the method to arrive at the correct answer. Additionally, the worksheet includes a section where children evaluate different partitioning methods used by fictional peers and decide which they prefer, explaining their reasoning. This encourages critical thinking and helps solidify their understanding of the concept.