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

In the mathematics lesson on subtracting mixed numbers, Year 6 students are introduced to the concept of flexible partitioning, a method that simplifies the process of subtraction. The lesson begins with a discussion on what flexible partitioning might entail, setting the stage for a deeper understanding of the technique. Students are then presented with a series of fluency teaching slides that guide them through the steps of flexible partitioning. For example, to subtract 2 and 3/5 from 2 and 6/10, the method involves breaking down the mixed numbers into simpler parts and subtracting each corresponding fraction and whole number separately. This step-by-step approach helps students to grasp the subtraction process more confidently.

Further activities require students to apply the flexible partitioning method to a variety of subtraction problems involving mixed numbers. They are given opportunities to practice this method with different sets of numbers, reinforcing their skills and understanding. In one activity, students evaluate the subtraction of 5 and 1/3 from 4 and 5/15, using the partitioning technique to break down the numbers and subtract them piece by piece. The lesson also includes reasoning tasks where students must place numbers correctly to complete a subtraction calculation, and independent work where they apply their knowledge to solve and discuss various problems. Students are encouraged to reflect on the ease of flexible partitioning compared to converting mixed numbers to improper fractions and to consider when partitioning might be necessary or when fractions can be subtracted without this step.