CCSS.Math.Content.6.NS.C.5
The standard
Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.
Common Core State Standards for Mathematics · The Number System
What this standard means
Students need to use positive and negative numbers to show opposite directions or values. They should connect the sign to the situation, not just treat it as a symbol. Examples include temperatures above and below zero, money gained or owed, elevation, and movement on a number line.
Mastery looks like choosing the correct signed number for a situation and explaining what zero means in that context. Students often mix up the sign with the size of the number. They may also say zero always means “nothing,” instead of explaining it as sea level, no change, or the starting point.
Ways to teach it
- Hands-on: Give students integer cards and context labels, then have them sort each card under temperature, money, elevation, or movement examples.
- Prompt: Write three situations where 0 has different meanings, then explain what positive and negative numbers mean in each one.
- Quick assessment: Show five real-world statements, and have students write the matching signed number and a one-sentence explanation.
- Real-world connection: Use a weekly weather map with above-zero and below-zero temperatures, then compare which places are warmer or colder.
Plan a lesson for CCSS.Math.Content.6.NS.C.5
Generate a complete lesson plan aligned to this standard, with objectives, activities, and materials. Free, no account needed.
Related standards
- CCSS.Math.Content.6.NS.C.7c
Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative q...
- CCSS.Math.Content.6.NS.C.6a
Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number i...
- CCSS.Math.Content.7.NS.A.1b
Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a ...
- CCSS.Math.Content.7.NS.A.1a
Describe situations in which opposite quantities combine to make 0.