No Series: Zero Pairs, Manipulatives, and a Real-World Scenario
Math.7.NS.A.1c
| 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.
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
-
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.
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Discussion and Supporting Materials
Thought starters
- 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.?
School Details
Columbia Secondary School425 West 123rd Street
New York NY 10027
Population: 716
Data Provided By:
Teachers
Sabrina Joseph
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4 MIN
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5 MIN
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5 MIN
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English Language Arts
37 Comments
Bonnie Kibel May 17, 2017 3:13pm
Susan Midlarsky May 8, 2023 1:26pm
Hi Bonnie! I hope you're still teaching. I think we need to use multiple models, but the reason we introduce the horizontal and vertical number lines as well is as a connection to the coordinate plane and integrating/connecting prior knowledge to that.
Teri Allegree Dec 9, 2016 10:42am
Asia Hines Aug 12, 2016 5:50pm
Shelby Butman Jun 6, 2016 11:20am
David Foley Feb 20, 2016 8:47pm