Lesson Plan

Explain what additive inverses (opposites) are and demonstrate that opposite quantities combine to make 0

Represent the addition of rational numbers on a horizontal or vertical number line, showing that p + q is located a distance |q| from p in the direction determined by the sign of q

Represent the subtraction of rational numbers as adding the additive inverse, using the relationship p - q = p + (-q)

Determine the distance between two rational numbers on a number line as the absolute value of their difference, and apply this in real-world contexts

Apply properties of operations (commutative, associative, and additive inverse properties) as strategies to add and subtract rational numbers efficiently

7.NS.A.1

7.NS.A.1: 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.