Divide Integers
Copyright © McGraw Hill
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Warm Up
1. A building is 75 feet tall. It is 3 times as tall as the building next to it. How tall is the building next to it?
2. Grant had 56 trading cards. He divided them into 4 equal groups. How many cards were in each group?
3. Laura did 112 pull-ups this week. If she did the same number of pullups on each of the 7 days, how many pull-ups did she do each day?
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Warm Up
1. A building is 75 feet tall. It is 3 times as tall as the building next to it. How tall is the building next to it?
2. Grant had 56 trading cards. He divided them into 4 equal groups. How many cards were in each group?
3. Laura did 112 pull-ups this week. If she did the same number of pullups on each of the 7 days, how many pull-ups did she do each day?
25 feet
14
16
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Standards for Mathematical Content
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
7.NS.A.2.C
Apply properties of operations as strategies to multiply and divide rational numbers.
7.NS.A.1.D
Apply properties of operations as strategies to add and subtract rational numbers.
Standards for Mathematical Content
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
7.EE.B.3
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.
7.NS.A.3
Solve real-world and mathematical problems involving the four operations with rational numbers.
Standards for Mathematical Content
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Standards for Mathematical Practice
MP1
Make sense of problems and persevere in solving them.
MP3
Construct viable arguments and critique the reasoning of others.
MP4
Model with mathematics.
MP5
Use appropriate tools strategically.
MP6
Attend to precision.
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Students will solve problems dividing integers.
Lesson Goal
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Learn�Divide Integers with Different Signs
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
The table shows the rules for dividing integers with different signs.
Learn�Divide Integers with Different Signs
Words | Examples |
The quotient of two integers with different signs is negative. | |
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Learn�Divide Integers with Different Signs
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Example 1�Divide Integers with Different Signs
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Example 1�Divide Integers with Different Signs
Talk About It!
Predict the sign of the quotient.
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Example 1�Divide Integers with Different Signs
The signs of the integers are different. The quotient is negative.
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Example 2�Divide Integers with Different Signs
Talk About It!
A friend stated that the quotient was positive. How can you use multiplication to show that the quotient is negative?
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Example 1�Divide Integers with Different Signs
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Example 1�Divide Integers with Different Signs
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Example 2�Divide Integers with Different Signs
The best underwater divers can dive almost 380 feet in four minutes, using only a rope as they descend.
At this rate, what integer represents the change, in feet, of a diver’s position after one minute?
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Example 2�Divide Integers with Different Signs
Step 1 Identify the distance descended.
What integer represents the change, in feet, in the diver's position after four minutes?
| |
Step 2 Write the division expression.
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Example 2�Divide Integers with Different Signs
| The signs of the integers are different. The quotient is negative. |
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Example 2�Divide Integers with Different Signs
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Example 2�Divide Integers with Different Signs
Check
A neighbor is improving his dogʼs fitness level by working on agility training. Before beginning the training regiment, the dog weighed 65 pounds. After nine weeks of training, the dog weighed 47 pounds. What integer represents the change in weight that the dog averaged, in pounds per week, over the nine weeks?
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Example 2�Divide Integers with Different Signs
Check
A neighbor is improving his dogʼs fitness level by working on agility training. Before beginning the training regiment, the dog weighed 65 pounds. After nine weeks of training, the dog weighed 47 pounds. What integer represents the change in weight that the dog averaged, in pounds per week, over the nine weeks?
−2
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Learn�Divide Integers with the Same Sign
Division is the inverse operation of multiplication. You can find a quotient by finding a related multiplication sentence.
| |
positive quotient
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Learn�Divide Integers with the Same Sign
Words | Examples |
The quotient of two integers with the same sign is positive. | |
The table shows the rules for dividing integers with the same sign.
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Example 2�Divide Integers with Different Signs
Talk About It!
How are division and multiplication of integers similar? How are they different?
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Example 3�Divide Integers with the Same Sign
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Example 3�Divide Integers with the Same Sign
The signs of the integers are the same. The quotient is positive.
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Example 3�Divide Integers with the Same Sign
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Example 3�Divide Integers with the Same Sign
7
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Example 4�Divide Integers with the Same Sign
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Example 4�Divide Integers with the Same Sign
Write as a division sentence.
The signs of the integers are the same. The quotient is positive.
So, the value of the expression is 31.
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Example 4�Divide Integers with the Same Sign
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Example 4�Divide Integers with the Same Sign
27
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Pause and Reflect
Compare and contrast how to predict the sign of the integer when adding or subtracting, and when multiplying or dividing.
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Apply�Personal Finance
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Apply�Personal Finance
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Apply�Personal Finance
Item | Expenses | Revenue |
Cleaning Chemicals | | |
Brushes and Towels | | |
Transportation | | |
| | |
Flyers for Advertising | | |
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Apply�Personal Finance
25 weeks
Item | Expenses | Revenue |
Cleaning Chemicals | | |
Brushes and Towels | | |
Transportation | | |
| | |
Flyers for Advertising | | |
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Exit Ticket
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.
Exit Ticket
McGraw Hill |
Divide Integers
This material may be reproduced for licensed classroom use only and may not be further reproduced or distributed.