Zero Pairs, Manipulatives, and a RealWorld Scenario
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 realworld 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 realworld 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 realworld 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 realworld contexts. d. Apply properties of operations as strategies to add and subtract rational numbers. 
Download Common Core State Standards (PDF 1.2 MB) 

Teaching PracticeFormative Assessment: Understanding CongruenceGrades 912 / Math / GeometryMath.HSG.CO.B.6 / Math.HSG.CO.B.7 / Math.HSG.CO.B.8
 41
 10

Lesson Idea  Common CoreCollaborative Work with TransformationsGrades 912 / Math / GeometryMath.HSG.CO.A.4 / Math.HSG.CO.A.5
 9
 2

Lesson Idea  Common CoreCommon Issues with TransformationsGrade 912 / Math / GeometryMath.HSG.CO.A.4 / Math.HSG.CO.A.5
 8
 6

Lesson Idea  Common CoreIntroduction to Ratios & Proportional RelationshipsGrades 68 / Math / ModelingMath.6.RP.A.3
 92
 19

Lesson Idea (Common Core)Discover Number Patterns With Skip CountingGrade 3 / Math / Number SenseMath.3.OA.D.9 / Math.Practice.MP3 / Math.Practice.MP7
 149
 21

Lesson Idea  Common CoreHow Tall is the Flagpole?Grades 912 / Math / GeometryMath.HSG.SRT.B.5 / Math.Practice.MP4 / Math.Practice.MP5
 74
 10

Lesson Idea (Common Core)Using a Lottery to Illustrate FunctionsGrades 912 / Math / FunctionsMath.HSFIF.A.1
 10

Lesson Idea  Common CoreModeling & Graphing RealWorld SituationsGrades 912 / Math / FunctionsMath.HSFIF.B.5
 26
 8
 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 twocolored counters.
Teacher & School Info

Sabrina Joseph
 School Details
 Columbia Secondary School New York, NY
 Population
 660 students
 District Spending
 $17,108
Supporting Materials

Subtracting Integers Lesson Plan
Subtracting Integers Lesson Plan

Zero Pairs, Manipulatives, and a RealWorld Scenario Transcript
Zero Pairs, Manipulatives, and a RealWorld Scenario program Transcript