What is the significance of decomposing single-digit numbers in Tier 1?

Decomposing single-digit numbers is significant because it helps develop an intuitive understanding of the relationships between numbers. By breaking down numbers into smaller, more manageable parts, students can more effectively grasp how numbers interact with one another. This understanding fosters a sense of numerical closeness and distance, allowing students to recognize patterns, make estimations, and perform mental calculations more easily.

For example, if a student decomposes the number 7 into 3 and 4, they not only see the components of the number but also begin to understand that 3 is less than half of 7, while 4 is slightly more than half. This kind of insight is foundational for more complex mathematical concepts such as addition, subtraction, and even multiplication in later studies. Through this technique, students enhance their number sense, which is crucial for their ongoing mathematical learning.