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Finding the Difference - Directed Numbers WORKSHEET
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.
Finding the Difference - Directed Numbers WORKSHEET DESCRIPTION
Teaching students to find the difference between numbers as the distance between them on the number line, reinforces the idea that subtraction is about finding how far apart two values are and will aid your learners in taking the next steps towards addition and subtraction of positive and negative numbers.
The worksheet begins with a reminder of what it means to find the difference between pairs of positive numbers.
Section B utilises number lines to aid students to find the difference between a positive and negative number and leads on to make links to the equality of the expressions x - (-y) and x + y.
In section C, students will use what they learned as they find the difference between pairs of positive and negative numbers.
Learners will calculate with fractions and as such should be able to add and subtract fractions with different denominators.
