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

In the Year 5 mathematics curriculum, during the Spring Term's eighth week, students are introduced to the concept of subtracting mixed numbers using a method known as flexible partitioning. This technique involves breaking down whole numbers to make subtraction easier. The starter activity for Day 1 challenges students to visually shade a table to subtract mixed numbers in a step-by-step process, ensuring they understand the concept of borrowing from the whole number when necessary. This foundational skill is crucial for students to successfully subtract mixed numbers and develop their numerical fluency.

In addition to subtracting mixed numbers, the lesson incorporates exercises to strengthen place value understanding. Students are asked to identify numbers represented on a place value grid, which is segmented into thousands, hundreds, tens, and ones. They also engage in addition problems that reinforce their comprehension of place value and arithmetic operations. One practical application presented is a real-world problem where students calculate the total weight of grocery items, such as hamburger, nuggets, and cheese, by adding mixed numbers. These diverse activities are designed to build confidence in handling fractions and improve problem-solving skills in a variety of contexts.