NY Next Generation Math NY-6.NS.5

Math6th GradeApply and extend previous understandings of numbers to the system of rational numbers.

The Standard

Understand that positive and negative numbers are used together to describe quantities having opposite directions or values. Use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What This Standard Means

What Students Need to Do

Students use positive and negative numbers to describe quantities with opposite directions or values. They explain what zero means in each context.

What Mastery Looks Like

The student represents 12 meters below sea level as -12 and a 12-dollar credit as +12. The student explains that zero means sea level in one context and no balance in the other.

Common Misconceptions

Students may treat a negative sign as meaning bad rather than a direction or value relative to zero. They may assume zero has the same contextual meaning in every situation.

How to Assess It

Give contexts for temperature, elevation, and account balance. Ask students to assign signed values and state the meaning of zero in each.

Lesson moves

Ways to Teach It

  1. Place context cards above and below a floor zero line, then label each position with a signed number.

  2. Ask students how zero differs for temperature, elevation, and a bank balance.

  3. Play opposite-context match with debits and credits, rises and drops, and values above and below zero.

  4. Record daily temperatures or building-floor positions with signed numbers and define the reference zero.

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Printable NY-6.NS.5 Worksheet

Preview of the NY-6.NS.5 printable worksheet

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