Ch 1: Common Core Math Grade 7 - The Number System: Rational Numbers

About This Chapter

The resources in this collection are designed to help your seventh grade students reach the Common Core State Standards in math. You'll find engaging video lessons and practice quizzes to help teach your students about rational numbers.

Standard: 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. (CCSS.MATH.CONTENT.7.NS.A.1)

Standard: 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. (CCSS.MATH.CONTENT.7.NS.A.1.A)

Standard: 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. (CCSS.MATH.CONTENT.7.NS.A.1.B)

Standard: 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. (CCSS.MATH.CONTENT.7.NS.A.1.C)

About This Chapter

The lessons in this collection teach fundamental concepts related to rational numbers that can be used as building blocks for information covered by the Common Core standards. In these lessons, your students can learn how to build on their previous knowledge to represent operations with rational numbers on a number line. Lesson topics focus on the following:

  • Number lines
  • Ordering and comparing rational numbers
  • Using a number line to graph rational numbers

After completing these lessons, your students should be proficient in adding and subtracting rational numbers and understand how to show addition and subtraction on a number line.

How to Use These Lessons in Your Classroom

Use these tips to incorporate the resources in this collection into your curriculum:

Ordering Rational Numbers Worksheet

Watch the video lesson 'Comparing & Ordering Rational Numbers.' Using the examples in the video as a guide, create a worksheet with sets of numbers for students to compare and order. Make sure to use a mixture of fractions, whole numbers and percents. Ask students to convert each number so that they can be compared and ordered. Finish the set by rewriting each number in their original form.

Brainstorm Real-Life Number Lines

As a class, watch the video 'Graphing Rational Numbers on a Number Line.' Next, brainstorm a class list of number lines found in the real world, such as odometers and historical timelines.

Use Practice Quizzes as a Small Group Activity

Assign the practice quizzes that correspond with each lesson as a small group activity. Have students work together to solve the practice problems, then explain to the class how they arrived at their answers.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the Common Core Math Grade 7 - The Number System: Standards course