About This Chapter
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.
1. What Is a Number Line?
A number line is a visual representation of all real numbers. In this lesson, we'll learn how to identify points on a number line. We'll also practice addition and subtraction, letting the number line do all the hard work.
2. Comparing & Ordering Rational Numbers
After watching this video lesson, you will be able to look at any rational number and compare it with any other rational number. Learn what you need to do so that you know which number is greater or lesser than another.
3. Graphing Rational Numbers on a Number Line
Number lines have many uses both in mathematics and everyday life. This lesson will teach you how to graph numbers on a number line and give real-world examples of how to use number lines.
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Other chapters within the Common Core Math Grade 7 - The Number System: Standards course