Zero Pairs, Manipulatives, and a Real-World Scenario

Grade 7 / Math / Integer Operations
CCSS: Math.7.NS.A.1c Math.7.NS.A.1d

Common Core State Standards

Math

Math

7

Grade 7

NS

The Number System

A

Apply and extend previous understandings of operations with fractions

1c

Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.


a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.


b. 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 number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.


c. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.


d. Apply properties of operations as strategies to add and subtract rational numbers.

Download Common Core State Standards (PDF 1.2 MB)

Common Core State Standards

Math

Math

7

Grade 7

NS

The Number System

A

Apply and extend previous understandings of operations with fractions

1d

Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.


a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.


b. 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 number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.


c. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.


d. Apply properties of operations as strategies to add and subtract rational numbers.

Download Common Core State Standards (PDF 1.2 MB)
Lesson Objective
Use manipulatives and zero pairs to understand integer subtraction
Length
6 min
Questions to Consider
How do manipulatives deepen understanding of integer operations even for students who find the traditional algorithm easy?
Take time to think about what it means to "add the opposite" and how your students can understand this using zero pairs and two-colored counters.
Common Core Standards
Math.7.NS.A.1c, Math.7.NS.A.1d

Supporting Materials

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  • Subtracting Integers Lesson Plan

    Subtracting Integers Lesson Plan

  • Zero Pairs, Manipulatives, and a Real-World Scenario Transcript

    Zero Pairs, Manipulatives, and a Real-World Scenario program Transcript

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Lesson Idea (Common Core) Zero Pairs, Manipulatives, and a Real-World Scenario

Grade 7 / Math / Integer Operations

Zero Pairs, Manipulatives, and a Real-World Scenario