Basic Math Video: 10 minutes

Dividing Integers Lesson Plan

Lesson: 40 minutes

Pre-viewing • :00 Warm up: Get your students’ mental math muscles going with a few simple multiplication problems. Go over the lesson objectives. 4 minutes Viewing • :04 Pre-test: Hand out the Viewing Guide. Instruct the students to follow along with their Viewing Guides and complete the math problems covered in the program. Don’t hesitate to stop the program and review if the students seem confused. 10 minutes Post-viewing • :14 Question & Answer Session: See if any parts of the program were difficult or confusing for the students. Hand out the Worksheet. As a class, complete the first problem from each section and review the arithmetic steps involved in finding the correct answer. 6 minutes Handouts • :20 Practicing Material: Give the class 10 minutes to complete the Worksheet. Monitor the students’ progress, helping where needed. Go over the answers as a class. 14 minutes • :34 Applying Material: Hand out the Activity and go over strategies for solving word problems. There is a small section covering word problems on the Viewing Guide. Give the students 10 minutes to complete the Activity. Go over the answers as a class. 14 minutes • :48 Wrap-up: Assign any homework. 2 minutes Teacher’s Notes

Basic Math Video: 10 minutes

Dividing Integers Teacher’s Reference Guide

Lesson: 40 minutes

Learning Objectives At the end of the module, students will be able to: • perform division operations • use division in solving word problems Materials • Video: division terminology, simple division, long division; 10 minutes • Viewing Guide: sample problems • Worksheet: 10 division problems • Activity: 6 word problems • Check Your Knowledge: division, word problems; 50 points Background Students should have completed Basic Math Modules 1, 2, and 3 (Integers & Addition, Subtracting Integers, and Multiplying Integers) or their equivalents.

Dividing Integers Viewing Guide

Basic Math

Show your work and solve the problems with the program! Your teacher will be asking you for the answers!

Sample Problem #1

27 ÷ 3 = The number being divided (27) is the dividend. The number you’re dividing by (3) is the divisor. The answer to the division problem (9) is the quotient.

Sample Problem #2

34 581

Word Problem Strategies Remember R.I.O.T.S. Read Identify Out of here! Translate Solve

the problem. what you must solve. Remove all unnecessary information. the word problem into a math problem; break it down into logical steps. the problem.

Basic Math

Dividing Integers Worksheet

Solve each problem. Show your work.

1. 27 ÷ 3 =

2. 45 ÷ 5 =

3. 100 ÷ 10 =

4. 28 ÷ 4 =

5. 36 ÷ 6 =

6. 54 ÷ 9 =

7. 35 581

8. 23 460

9. 44 831

10. 12 700

Basic Math

Dividing Integers Worksheet Answer Key

Solve each problem. Show your work.

1. 27 ÷ 3 = 9

2. 45 ÷ 5 = 9

3. 100 ÷ 10 = 10

4. 28 ÷ 4 = 7

5. 36 ÷ 6 = 6

6. 54 ÷ 9 = 6

16 R 21 7. 35 581 -35 231 -210 21 18 R 39 9. 44 831 -44 391 -352 39

20 8. 23 460 -46 00

58 R 4 10. 12 700 -60 100 -96 4

Basic Math

Dividing Integers Activity

Word Problems 1. There are 50 states in the United States and there are 435 members of the House of Representatives. What is the average number of representatives for each state?

2. Heathrow International Airport, outside of London, England, is the world’s busiest airport. In 1998, the number of passengers going through Heathrow was 60,659,593. On average, how many people went through Heathrow each day during 1998? (Hint: There are 365 days in a year.)

3. The highest dam in America is the Oroville Dam in California. It is 754 feet high. How many six-foot people could you stack on top of one another to reach the top of the dam?

4. The Moon is about 240,000 miles away from Earth. If a rocket travels at 3000 miles per hour, how long does it take to get to the moon? (Hint: Remember to convert hours to days)

5. The typical human head has 148 inches2 of scalp (where the hair grows). The average person has 100,000 hairs on their head. How many hairs does the average human have per square inch?

6. Barnie Fuller decides to read every book at his local library. There are 5,616 books at his local library and he can read 6 books a week (he’s a fast reader). How many years will it take him to read every book? (Hint: A year has 52 weeks.)

Basic Math

Dividing Integers Activity Answer Key

Word Problems 1. There are 50 states in the United States and there are 435 members of the House of Representatives. What is the average number of representatives for each state? 435 ÷ 50 = 8 R 35 = 8 Representatives per state

2. Heathrow International Airport, outside of London, England, is the world’s busiest airport. In 1998, the number of passengers going through Heathrow was 60,659,593. On average, how many people went through Heathrow each day during 1998? (Hint: There are 365 days in a year.) 60,659,593 ÷ 365 = 166,190 R 243 So on average, 166,190 people go through Heathrow each day.

3. The highest dam in America is the Oroville Dam in California. It is 754 feet high. How many six-foot people could you stack on top of one another to reach the top of the dam? 754 ÷ 6 = 125 R 4 So you could stack 125 people and still not reach the top. Therefore, the answer is 126 people.

4. The Moon is about 240,000 miles away from Earth. If a rocket travels at 3000 miles per hour, how long does it take to get to the moon? (Hint: Remember to convert hours to days) 240,000 miles ÷ 3000 miles per hour = 80 hours 80 hours ÷ 24 hours per day = 3 days, 8 hours

5. The typical human head has 148 inches2 of scalp (where the hair grows). The average person has 100,000 hairs on their head. How many hairs does the average human have per square inch? 100,000 ÷ 148 = 675 R 100 so about 675 hairs per square inch

6. Barnie Fuller decides to read every book at his local library. There are 5,616 books at his local library and he can read 6 books a week (he’s a fast reader). How many years will it take him to read every book? (Hint: A year has 52 weeks.) 5,616 ÷ 6 = 936 weeks 936 weeks ÷ 52 weeks per year = 18 years

Basic Math

Dividing Integers Check Your Knowledge Total Score

/ 50

A. Simple Division

Solve each problem. (3 points each)

1. 81 ÷ 9 =

2. 96 ÷ 12 =

4. 90 ÷ 3 =

5. 24 ÷ 4 =

3. 54 ÷ 6 =

B. Long Division Solve each problem. Show your work. (4 points each)

1. 7 356

2. 8 216

3. 14 322

4. 32 574

5. 65 6078

6. 13 605

C. Word Problems Solve each problem. Show your work. (4 points each) 1. Jimmie Gillispie is travelling to Kalamazoo, 350 miles away. If his car gets 20 miles to the gallon, how many gallons of gas does he need to get to Kalamazoo?

2. Once in Kalamazoo, Jimmie looks in the phone book and finds 315 hotels. He decides to call every hotel to check for prices. If he calls one hotel every 20 seconds, how long will it take him to call all the hotels? Give your answer in hours and minutes.

3. Jimmie makes a living selling used newspapers door to door. He plans to knock on every door in Kalamazoo. There are 96 houses. If he visits 4 houses each hour, and works an eight-hour day, how many days will it take him to visit every house?

4. Jimmie orders 357 used newspapers to be sent around the country. The newspapers usually go out in shipments of 24, but 24 does not divide evenly into 357. How many used newspapers will be in the last shipment?

Basic Math A. Simple Division

Dividing Integers Check Your Knowledge Answer Key

Solve each problem. (3 points each)

1. 81 ÷ 9 = 9

2. 96 ÷ 12 = 8

4. 90 ÷ 3 = 30

5. 24 ÷ 4 = 6

Total Score

/ 50

3. 54 ÷ 6 = 9

B. Long Division Solve each problem. Show your work. (4 points each)

50 R 6 1. 7 356 35 06 17 R 30 4. 32 574 32 254 224 30

27 2. 8 216 16 56 93 R 33 5. 65 6078 585 228 195 33

23 3. 14 322 28 42 46 R 7 6. 13 605 52 85 78 7

C. Word Problems Solve each problem. Show your work. (4 points each) 1. Jimmie Gillispie is travelling to Kalamazoo, 350 miles away. If his car gets 20 miles to the gallon, how many gallons of gas does he need to get to Kalamazoo? 350 ÷ 20 = 17 R 10 so he’ll need 17 1/2 gallons of gas 2. Once in Kalamazoo, Jimmie looks in the phone book and finds 315 hotels. He decides to call every hotel to check for prices. If he calls one hotel every 20 seconds, how long will it take him to call all the hotels? Give your answer in hours and minutes. one call every 20 seconds = 3 calls per minute 315 hotels ÷ 3 calls per minute = 105 minutes = 1 hour and 45 minutes 3. Jimmie makes a living selling used newspapers door to door. He plans to knock on every door in Kalamazoo. There are 96 houses. If he visits 4 houses each hour, and works an eight-hour day, how many days will it take him to visit every house? 96 houses ÷ 4 houses per hour = 24 hours 24 hours ÷ 8 hours per day = 3 days 4. Jimmie orders 357 used newspapers to be sent around the country. The newspapers usually go out in shipments of 24, but 24 does not divide evenly into 357. How many used newspapers will be in the last shipment? 357 ÷ 24 = 14 R 21 21 newspapers go out in the last shipment