1.4 multiplying and dividing integers.notebook multiplying and dividing integers.notebook 1 ......

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1.4 Multiplying and Dividing Integers.notebook 1 August 19, 2014 Bell Work Date ________ 1) 5 + 4 2) 6 5 3) 7 2 4) 2 + 7 5) 10 15 6) 5 + 8 7) 9 (3) 8) 4 8 Multiplying and Dividing Integers 1.4 I can multiply and divide integers. Lesson Objectives

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Page 1: 1.4 Multiplying and Dividing Integers.notebook Multiplying and Dividing Integers.notebook 1 ... Adding and Subtracting Integers Human Number Line: 1.3 ... 1.4 Teacher Notes

1.4 Multiplying and Dividing Integers.notebook

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August 19, 2014

Bell Work Date ________

1) 5 + ­4

2) 6 ­ ­5

3) ­7 ­ 2

4) ­2 + ­7

5) 10 ­ 15

6) ­5 + 8

7) 9 ­ (­3)

8) ­4 ­ ­8

Multiplying and Dividing Integers1.4

I can multiply and divide integers.

Lesson Objectives

Page 2: 1.4 Multiplying and Dividing Integers.notebook Multiplying and Dividing Integers.notebook 1 ... Adding and Subtracting Integers Human Number Line: 1.3 ... 1.4 Teacher Notes

1.4 Multiplying and Dividing Integers.notebook

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August 19, 2014

Quiz

Adding and Subtracting Integers

Human Number Line:1. 3(­2)2. 1(5)3. ­2(­4)4. ­1(7)5. ­3(3)6. 2(­5)

Student Activity

Video Clip

Page 3: 1.4 Multiplying and Dividing Integers.notebook Multiplying and Dividing Integers.notebook 1 ... Adding and Subtracting Integers Human Number Line: 1.3 ... 1.4 Teacher Notes

1.4 Multiplying and Dividing Integers.notebook

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Number line:• Have students use their number lines

from 1.2a to work out several problems.

Student Activity

1) 2(3)2) 4(­2)3) ­1(5)4) ­2(­4)5) ­6(­1)6) 3(­4)

10 2 3 4 5 6 7 8 9 10­1­2­3­4­5­6­7­8­9­10

Multiplying with a Number Line

Page 4: 1.4 Multiplying and Dividing Integers.notebook Multiplying and Dividing Integers.notebook 1 ... Adding and Subtracting Integers Human Number Line: 1.3 ... 1.4 Teacher Notes

1.4 Multiplying and Dividing Integers.notebook

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August 19, 2014

Charged Field:• Show students how to create a charged

field. • Give students more problems to work out

using the charged field• Students may need a hint (first number is

what they put in/take out; second number is how many will be in each group)

Student Activity

­1+1

+1

­1

+1 +1 +1 +1

­1 ­1 ­1 ­1

+1

­1

+1 +1 +1 +1

­1 ­1 ­1 ­1

Multiplying Using a Charged Field

+1+1

+1 +1+1

+1

Page 5: 1.4 Multiplying and Dividing Integers.notebook Multiplying and Dividing Integers.notebook 1 ... Adding and Subtracting Integers Human Number Line: 1.3 ... 1.4 Teacher Notes

1.4 Multiplying and Dividing Integers.notebook

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August 19, 2014

1) Buying 3 posters for $3 each2) A diver dives 5 miles in one hour. How far did he dive in 2 hours?3) Owing each of your 4 friends $24) A snail moves 2 mi/hr. How far does it get in 3 hours?

10 2 3 4 5 6 7 8 9 10­1­2­3­4­5­6­7­8­9­10

Real­Life Application Problems

Multiplying and Dividing Integer Rules

Page 6: 1.4 Multiplying and Dividing Integers.notebook Multiplying and Dividing Integers.notebook 1 ... Adding and Subtracting Integers Human Number Line: 1.3 ... 1.4 Teacher Notes

1.4 Multiplying and Dividing Integers.notebook

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August 19, 2014

App to Use:• Digitwhiz: Integers

– IntegerOps ­ Multiplication and division problems

– Integer Whiz ­ Mixed problems

Student Activity

Term Definion Example

product the answer to a multiplication problem

factora number that you multiply by

another number to get a product

dividend a number to be divided by another number

divisor a number that divides into another number

quotient the answer to a division problem

divisor dividendquotient

Page 7: 1.4 Multiplying and Dividing Integers.notebook Multiplying and Dividing Integers.notebook 1 ... Adding and Subtracting Integers Human Number Line: 1.3 ... 1.4 Teacher Notes

1.4 Multiplying and Dividing Integers.notebook

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August 19, 2014

Multiplying and Dividing Integers

Same Sign: the answer is positive

Different Sign: the answer is negative

5(­6) ­12 ÷ (­3)

8(­12)

­9 ÷ 3

­126 ÷ ­9

­24(­4)

­4(­5)(­8)

48­6

9(­3)(­5)

8 ­7 + 11

Page 8: 1.4 Multiplying and Dividing Integers.notebook Multiplying and Dividing Integers.notebook 1 ... Adding and Subtracting Integers Human Number Line: 1.3 ... 1.4 Teacher Notes

1.4 Multiplying and Dividing Integers.notebook

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August 19, 2014

Practice

6(­8) ­2(­3)

Ticket out the Door1. In a test, the score for every correct answer is 5 and negative for every wrong answer is ­3. Adam got 3 correct answers and 6 wrong answers. What is his final score?

a) 3 b) 0 c) 15 d) ­13

2. Find the product of (­55)(­3).

a) ­165 b) 165 c) 3 d) ­3

3. Alice divided ­3 by an integer and her result was between 0 and 1. Which integer could have been the divisor?

a) 2 b) 4 c) ­2 d) ­4

4. Simplify the expression (­2)(­5)(­6)(­7).

a) 420 b) ­70 c) ­420 d) ­60

5. A positive number is divided by ­7. The quotient would be:

a) Positive b) Negative c) Zero d) One

6. When a number is divided by ­2, it gives 5 as the quotient. What is the number?

a) ­2.5 b) Zero c) 10 d) ­10

Page 9: 1.4 Multiplying and Dividing Integers.notebook Multiplying and Dividing Integers.notebook 1 ... Adding and Subtracting Integers Human Number Line: 1.3 ... 1.4 Teacher Notes

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August 19, 2014

Worksheet

Mathematical Practices Used

Teacher Notes1.4

___ 1. Make sense of problems and persevere in solving them. ___ 2. Reason abstractly and quantitatively.___ 3. Construct viable arguments and critique the reasoning of others.___ 4. Model with mathematics.___ 5. Use appropriate tools strategically.___ 6. Attend to precision.___ 7. Look for and make use of structure.___ 8. Look for and express regularity in repeated reasoning.

XXXXXXXX

Page 10: 1.4 Multiplying and Dividing Integers.notebook Multiplying and Dividing Integers.notebook 1 ... Adding and Subtracting Integers Human Number Line: 1.3 ... 1.4 Teacher Notes

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Resources

Teacher Notes1.4

­ Counters/chips­ Cards­ Video­ Taped Number Line­ Number Line

Standards

Teacher Notes1.4

Number System­ 7.NS.2a­ 7.NS.2b­ 7.NS.2c

PUSD Framework 1

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August 19, 2014

­1+1

+1

­1

+1 +1 +1 +1

­1 ­1 ­1 ­1

+1

­1

+1 +1 +1 +1

­1 ­1 ­1 ­1

Multiplying Using a Charged Field

1) 3(2)2) ­2(­4)3) 5(­1)4) ­3(­3)5) ­1(3)6) 4(2)

Page 12: 1.4 Multiplying and Dividing Integers.notebook Multiplying and Dividing Integers.notebook 1 ... Adding and Subtracting Integers Human Number Line: 1.3 ... 1.4 Teacher Notes

Attachments

YouTube Video