No Series: What's Your Sign: Integer Addition
Math.7.NS.A.1b
| Common core State Standards
- Math: Math
- 7: Grade 7
- NS: The Number System
- A: Apply and extend previous understandings of operations with fractions
-
1b:
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 does the use of number lines help students visualize integer operations?
- How does this approach support long-term conceptual understanding as compared to rote memorization of rules?
- Why is it important to use both horizontal and vertical number lines?
School Details
Willard Middle School2425 Stuart Street
Berkeley CA 94705
Population: 667
Data Provided By:
Teachers
Allison Krasnow
Math / 8 / Teacher
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