Understanding Constant Additive Relationships in Math for 14-Year-Old Students

A constant additive relationship in math means that when you increase one quantity, the other quantity increases by the same, fixed amount every time.

Let's break it down step by step:

1. What does 'additive' mean? It relates to addition. So, a constant additive relationship means the difference between two values is always the same.
2. Example: Suppose you have a number sequence: 3, 5, 7, 9, 11. Each number increases by 2 from the previous number. The '2' here is the constant amount you add each time.
3. In a real-world example: Imagine you earn $10 every week from your allowance. Every week, your total money increases by the same amount ($10). This shows a constant additive relationship between the number of weeks and the money you have.
4. How to recognize it: In a table showing two sets of numbers, if the difference between corresponding numbers is always the same, it indicates a constant additive relationship.

In summary, a constant additive relationship means one value changes by adding a constant number to get the other value.