Integers (Multiply & Divide)

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In our Integers (Multiply & Divide) lesson plan, students learn how to multiply and divide integers. Students complete practice problems in order to solidify their understanding of the lesson material.

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 adjustments to this lesson is to teach the lesson over two days, teaching multiplication of integers the first day and division of integers the next.

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Description

What our Integers (Multiply & Divide) lesson plan includes

Lesson Objectives and Overview: Integers (Multiply & Divide) lesson plan engages students with hands-on activities to understand and practice multiplying and dividing integers. At the end of the lesson, students will be able to multiply and divide integers. 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. The supplies needed for this lesson are scissors and the handouts. To prepare for this lesson ahead of time, you can gather the supplies and copy the handouts.

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. If you’d like to teach the lesson over two days, you can teach multiplication of integers the first day and division of integers the next. You can also teach negative x negatives at the same time as you teach students about double negatives in language.

Teacher Notes

The teacher notes page includes a paragraph with additional guidelines and things to think about as you begin to plan your lesson. It notes that you should remind students to use the words “positive” and “negative” while teaching this lesson. This page also includes lines that you can use to add your own notes as you’re preparing for this lesson.

INTEGERS (MULTIPLY & DIVIDE) LESSON PLAN CONTENT PAGES

Integers (Multiply & Divide)

The Integers (Multiply & Divide) lesson plan includes one page of content. This lesson begins by reminding students that integers are whole numbers above and below zero. They include positive integers above zero and negative integers below zero (but not zero). We have two main rules that we use when multiplying and dividing integers. These are different from the rules for adding and subtracting integers, so it’s important not to mix them up.

The first rule is that if the signs of the integers are the same, the answer is always positive. The lesson includes some examples, like 2 x 5 = 10 and -2 x -5 = 10.

The second rule is that if the signs of the integers are different, the answer is always negative. The lesson includes some examples of this as well, like -2 x 5 = -10 and 2 x -5 = =10.

If your problem has more than two integers, we count the number of negative signs. If there are an even number of negative signs, the answer will be positive; if there are an odd number of negative signs, the answer will be negative. The lesson includes some examples of this. One of the example problems is -2 x 4 x -3 x -2 x 5 = -240. The answer is negative because there are three negative signs, which is an odd number.

To solve these problems, you should count the number of negative signs first, which will allow you to identify whether the answer will be positive or negative. You can then multiply or divide as usual. The good news is that this is much easier than adding or subtracting integers!

INTEGERS (MULTIPLY & DIVIDE) LESSON PLAN WORKSHEETS

The Integers (Multiply & Divide) 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.

CREATING PROBLEMS ACTIVITY WORKSHEET

For the activity worksheet, students will first cut out the digits, positive and negative signs, and equal sign included on the worksheet. They will then create their own addition and subtraction integers using the digits and signs. They must create problems with a variety of signs (negative/negative, positive/positive, and positive/negative). Students will list their problems on the worksheet and solve, writing neatly. Finally, they will exchange their worksheet with another student to check each other’s problems and answers.

Students can work in pairs for this activity if you’d like.

MULTIPLY OR DIVIDE PRACTICE WORKSHEET

The practice worksheet asks students to multiply or divide the integers. Some of the problems have only two integers, and others have more. This will help students solidify their understanding of the material.

INTEGERS (MULTIPLY & DIVIDE) HOMEWORK ASSIGNMENT

For the homework assignment, students will first answer a few questions about the lesson material. Then will then solve numerous multiplication and division problems, making sure their answers have the correct sign (positive or negative).

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.7

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.