Suitable for Grades: 7th Grade
CCSS: 7.NS.A.1
CCSS Description: 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.
This worksheet uses directed number counters to make sense of subtraction with positive and negative numbers.
Starting with an example, section A requires students to state the calculation that an image of directed counters represents.
In section B, students will practice subtraction with directed numbers while drawing counters or using manipulatives to aid them.
Once students have articulated what they notice happens when negative numbers are subtracted, they are ready to answer the 20 questions in section C. Here, we encourage students to try without the use of manipulatives.
Our worksheet finishes with a puzzle where students will use a set of numbers to make eight correct subtraction statements.