Mastering Negative Number Arithmetic with Hot Air Balloons

The video tutorial introduces the concept of adding and subtracting with negative numbers using a hot air balloon model. Positive numbers are represented by puffs of hot air, which make the balloon rise, while negative numbers are represented by sandbags, which make the balloon descend. The tutorial explains how adding and subtracting these elements affect the position of the balloon on a vertical number line. An interactive exercise encourages viewers to apply the model to different scenarios, such as starting from a different point on the number line.

What does the hot air balloon model represent in this lesson?

• The effect of altitude on a balloon

• The effect of temperature on a balloon

• The effect of adding and subtracting numbers on a number line

• The effect of wind on a balloon

What happens to the balloon when you add a puff of hot air?

• It goes up the number line

• It stays in the same place

• It moves randomly

• It goes down the number line

If you add two puffs of hot air to the balloon starting at zero, where will it be on the number line?

• At 0

• At 2

• At -2

• At 1

What happens to the balloon when you subtract a puff of hot air?

• It moves randomly

• It stays in the same place

• It goes down the number line

• It goes up the number line

What does a sandbag represent in the hot air balloon model?

• A positive number

• A negative number

• A neutral number

• A fraction

What happens to the balloon when you add a sandbag?

• It stays in the same place

• It goes down the number line

• It goes up the number line

• It moves randomly

If you add two sandbags to the balloon starting at zero, where will it be on the number line?

• At 0

• At -2

• At 2

• At 1

What happens to the balloon when you subtract a sandbag?

• It stays in the same place

• It moves randomly

• It goes down the number line

• It goes up the number line

If the balloon starts at 2, how many ways can you bring it back to zero?

• 4 ways

• 3 ways

• 2 ways

• 1 way

Using the balloon model, what is the result of 2 subtracting -3?

• 0

• 5

• -1

• 1