Exploring Integers on a Number Line

The video tutorial covers interpreting negative numbers using a vertical number line, focusing on how rational numbers represent temperature, elevation, and velocity. It includes exercises on reading thermometers, solving temperature-related problems, and comparing temperatures. The tutorial concludes with a prompt for class discussion.

What is the essential question for today's lesson?

• How do we solve equations with negative numbers?

• How are rational numbers used to represent temperature, elevation, and velocity?

• What is the importance of negative numbers?

• What are the properties of rational numbers?

What numbers are missing between 15 and 20 on the thermometer?

• 10 and 25

• 5 and 10

• 15 and 25

• 20 and 25

If the thermometer shows 0 degrees Celsius, what would be the temperature if we subtract 5?

• 5 degrees Celsius

• 0 degrees Celsius

• Negative 5 degrees Celsius

• Negative 10 degrees Celsius

What is the temperature shown on the thermometer if it is between 0 and negative 5, closer to negative 2?

• Negative 3

• Negative 1

• Negative 2

• Negative 4

What is the temperature shown on the thermometer if it is directly on negative 3?

• Negative 1

• Negative 2

• Negative 3

• Negative 4

What is the temperature shown on the thermometer if it is between 5 and 10, halfway?

• 5.5 degrees Celsius

• 6 degrees Celsius

• 7 degrees Celsius

• 8 degrees Celsius

Which thermometer shows the highest temperature?

• The one showing 5.5 degrees Celsius

• The one showing negative 1.5 degrees Celsius

• The one showing negative 3 degrees Celsius

• The one showing 4 degrees Celsius

Which thermometer shows the lowest temperature?

• The one showing 5.5 degrees Celsius

• The one showing negative 1.5 degrees Celsius

• The one showing negative 3 degrees Celsius

• The one showing 4 degrees Celsius

What does it mean when we say negative 3 is less than negative 1.5?

• Negative 3 is warmer than negative 1.5

• Negative 3 is a larger number than negative 1.5

• Negative 3 is further down the number line than negative 1.5

• Negative 3 is closer to zero than negative 1.5

If the temperature outside is negative 4 degrees, is it colder or warmer than the coldest temperature shown?

• Cannot be determined

• The same

• Warmer

• Colder