Sixth Grade · Math · week 13

Negative numbers and the number line

Understand negative numbers as values less than zero, place them on a number line, and order rational numbers including negatives.

Negative numbers describe amounts below zero - temperatures below freezing, elevations below sea level, or money owed. A negative sign in front of a number means "the opposite direction from positive."

On a number line, negative numbers sit to the left of zero and positive numbers sit to the right. The farther left a number is, the smaller its value, even though it might "feel" bigger.

To order numbers that include negatives, picture the number line: numbers get bigger as you move right, no matter the sign.

📋 For the teacher
Teach it (10–15 min):
  • Draw a real number line together and physically place each number as a dot before comparing.
  • Use real contexts - temperature, elevation, bank balances - so "greater" and "less" connect to something felt.
  • Watch for the trap: −7 feels bigger than −3 because 7 is a bigger digit than 3, but on the line −3 is farther right, so −3 is greater.
  • Practice with a thermometer or elevation map if one is handy.
Talk about it:
  • Why is −3 greater than −7, even though 7 is a bigger number than 3?
  • What are three real-life examples of negative numbers?
  • How does a number line help you order numbers that include negatives?

Mastery looks like: They correctly place negative and positive numbers on a number line and order a mixed list from least to greatest.

Common stumbles: Assuming a negative number with a bigger digit is the bigger value; forgetting that negative numbers are always less than positive ones.

See it visually

Interactive, spoken-aloud tools that show this idea in motion.

Homework for this lessonType it, write it with a stylus, or print it for pencil & paper.open →
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