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 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.
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 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.
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Thought starters
 How does the use of number lines help students visualize integer operations?
 How does this approach support longterm conceptual understanding as compared to rote memorization of rules?
 Why is it important to use both horizontal and vertical number lines?
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