Use a number line and a model of a hot air balloon. Model each problem and answer the questions that follow; the first one gives you hints as to the types of answers you should give.
3 + (-6)
Where does the balloon start? (#)________
Do you add or subtract something from the balloon? (operation)__+____
What do you add or subtract from the balloon? (# bags of?) ________________
Where does the balloon end up? (#)__-3___
To model the problem using a number line and a model of a hot air balloon, follow these steps:
1. Start by drawing a number line. Label the points on the number line from left to right in ascending order, starting with negative numbers and ending with positive numbers. In this case, label the number line from -10 to 10.
2. Draw a hot air balloon symbol on the number line to represent the starting point of the balloon. In this problem, the starting point is 3.
3. Since the problem is "3 + (-6)", the operation is addition. So, draw a plus sign next to the hot air balloon symbol.
4. To represent the addition of -6, draw 6 bags (or boxes) that are sinking down from the hot air balloon symbol.
5. Now, determine where the balloon ends up. Start at the initial position of the balloon and then move 6 units to the left (towards the negative side of the number line). The balloon ends up at the point -3.
Now, let's answer the questions:
Where does the balloon start? The balloon starts at the point 3.
Do you add or subtract something from the balloon? The operation is addition (+).
What do you add or subtract from the balloon? We add subtract 6 bags (or boxes).
Where does the balloon end up? The balloon ends up at the point -3.