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Integers: Opposite Signs of Numbers

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In this lesson plan, students learn about opposite numbers and how they are represented on a number line.

Included with this lesson are some adjustments or additions that you can make if you’d like, found in the “Options for Lesson” section of the Classroom Procedure page. One of the optional additions to this lesson is to have your students create word problems using opposites of numbers to share with a partner and for solving.

Description

What our Integers: Opposite Signs of Numbers lesson plan includes

Lesson Objectives and Overview: Integers: Opposite Signs of Numbers teaches students about integers and how they can have opposite signs. This is an important concept for students to understand, as it will help them with future math concepts. At the end of this lesson, students will be able to recognize and demonstrate that opposite signs of numbers are found on the opposite sides of zero and can explain opposites of opposites. This lesson is for students in 6th grade.

Classroom Procedure

Every lesson plan provides you with a classroom procedure page that outlines a step-by-step guide to follow. You do not have to follow the guide exactly. The guide helps you organize the lesson and details when to hand out worksheets. It also lists information in the blue box that you might find useful. You will find the lesson objectives, state standards, and number of class sessions the lesson should take to complete in this area. In addition, it describes the supplies you will need as well as what and how you need to prepare beforehand.

Options for Lesson

Included with this lesson is an “Options for Lesson” section that lists a number of suggestions for activities to add to the lesson or substitutions for the ones already in the lesson. One optional addition to the lesson activity is to have your students use manipulatives to show that the house and park are equal distance to the diner. You could also use an additional scenario for the activity question. For an additional activity, you could conduct a speed game of an “Opposite Bee” where student teams compete to identify opposites or opposites of opposites of a variety of numbers. Finally, you could have your students create word problems using opposites of numbers to share with a partner and for solving.

Teacher Notes

The teacher notes page includes a paragraph with additional guidelines and things to think about as you begin to plan your lesson. This page also includes lines that you can use to add your own notes as you’re preparing for this lesson.

INTEGERS: OPPOSITE SIGNS OF NUMBERS LESSON PLAN CONTENT PAGES

Opposite Signs of Numbers

The Integers: Opposite Signs of Numbers lesson plan includes two content pages. Rational numbers include all integers, fractions, repeating decimals, and terminating decimals. They can be positive or negative and include zero. Any number that you can write as a fraction can also be defined as a rational number.

You can also show all rational numbers on a number line. The lesson includes an example number line that shows different rational numbers with intervals of one-half.

Opposite numbers are the same distance from zero in opposite directions. One is always positive and the other is always negative. For example, the opposite of 1/2 is -1/2 (also written as -0.5) because they’re the same distance from zero on a number line. The opposite of -1.5 is 1 4/8 (also written as 1 1/2 or 1.5). Zero is a special case, because zero is its own opposite! There’s no distance between zero and itself on a number line.

Some other examples of opposite numbers include -3.5 and 3.5, 2/7 and -2/7, 109 and -109, and -0.777 and 0.777. Each pair is the same distance from zero on a number line.

Opposite of the Opposite

Did you know that the opposite of the opposite of something is the same as the original? For example, the opposite of up is down, but the opposite of the opposite of up is up! This is the same with numbers. The opposite of the opposite of the number 7, for example, is 7. And the opposite of the opposite of the number -5 is -5!

The opposite of a positive number is always negative and the opposite of a negative number is always positive. However, the opposite of an opposite negative number is negative, the opposite of an opposite positive number is positive, and zero (0) is its own opposite.

INTEGERS: OPPOSITE SIGNS OF NUMBERS LESSON PLAN WORKSHEETS

The Integers: Opposite Signs of Numbers lesson plan includes three worksheets: an activity worksheet, a practice worksheet, and a homework assignment. You can refer to the guide on the classroom procedure page to determine when to hand out each worksheet.

DRAW A PICTURE ACTIVITY WORKSHEET

For the activity worksheet, students will read a word problem and answer questions about it. They will also draw a picture to help explain their responses to the questions.

COMPLETE THE CHART PRACTICE WORKSHEET

The practice worksheet asks students to complete a chart that shows people and their scores in a game. They have to fill in the opposite of each score and the opposite of opposite of each score. Students will also plot the opposites of given numbers on number lines.

INTEGERS: OPPOSITE SIGNS OF NUMBERS HOMEWORK ASSIGNMENT

For the homework assignment, students will first read and write the number that represents each description. Next, they will write the opposite of each of their answers to the first part of the worksheet. Third, they will write the opposite of the opposite of each of their answers to the first part of the worksheet. Finally, they will answer a few questions about the lesson material.

Worksheet Answer Keys

This lesson plan includes answer keys for the practice worksheet and the homework assignment. If you choose to administer the lesson pages to your students via PDF, you will need to save a new file that omits these pages. Otherwise, you can simply print out the applicable pages and keep these as reference for yourself when grading assignments.

Additional information

grade-level

6th Grade

subject

Math

State Educational Standards

LB.MATH.CONTENT.6.NS.C.6.A

Lessons are aligned to meet the education objectives and goals of
most states. For more information on your state objectives, contact
your local Board of Education or Department of Education in your state.

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