lesson 5 day 2

Lesson5Day2.notebook

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Do Now

AIM: Subtracting Integers

HomeworkPractice B on Page S.38Integers Quiz Monday

11/5/14

Exit Ticket for Lesson 5

http://www.google.com/search?hl=en&q=subtracting+integers&aq=f&oq=&safe=active


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Problem Set 5 Answer Key

S.32

-3


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S.33


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S.33

-8


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Anticipatory Set

Answer the following question in a complete sentence.

1.) Predict how subtracting integers using a number line will be different than adding integers using a number line.

10 2 3 4 5 6 7 8 9 1012345678910

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10 2 3 4 5 6 7 8 9 1012345678910

SUBTRACTING INTEGERS USING A NUMBER LINE:

Pairs Check Activity:

STOP: WAIT FOR THE OTHER PAIR TO FINISH AND DISCUSS. DO NOT CONTINUE UNTIL INSTRUCTED TO!!!!!

-1 - 5 4 - 10

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10 2 3 4 5 6 7 8 9 1012345678910




3 - 9 -4 - 8

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10 2 3 4 5 6 7 8 9 1012345678910




-9 - (-12) 2 - (-10)

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Big Idea: Subtracting Integers is the same as adding the additive inverse.

p - q = p + (-q)

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Evaluate the expression x - y for each set of values.

1.) x = 14, y = -2 2.) x = -11, y = 11 3.) x = -8, y = -15

10 2 3 4 5 6 7 8 9 1012345678910

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Subtracting Integer Practice

* Be sure to change to an addition problem first!

1.) -9 - 1

2.) 8 - (-9)

3.) -7 - (-3)

4.) 5 - 11

5.) -10 - (-15)

2.) 5 - 18

3.) -8 - 4

4.) 8 - (-7)

p - q = p + (-q)

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The low point of the Tonga Trench, in the Pacific Ocean, is -10,630 meters. The low point of the Mariana Trench, also in the Pacific Ocean, is 890 meters lower. What is the depth of the Mariana Trench?

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The average surface temperature on Pluto is -2290C. What would the temperature be if it was currently 24 degrees lower than average?

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Practice Site Linked to My Blog

http://tjersland.blogspot.com


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Module 2 Lesson 5 Sprint 2

Sprint


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Before you Leave

Problem Meaning of the Minus Sign

5 - 8= xx + 5 = -2

Which is larger -(-4) or - 4

Word Bank:

Negative

SubtractionOpposite

S.32C

Attachments

ClassNotes11806.doc

ClassNotes11905.doc

MathintheNewsProjectOutline.doc

Name:_______________________________Date:_________________

Math 7 Period ____

Class Notes

OBJECTIVE: How do we add integers using a number line?

Anticipatory Set: Explaining a Mistake

1.) Below is an example of adding integers a student completed and they provided an explanation.

a.) What is the correct answer to the problem?

b.) Explain why their explanation is not correct based on yesterdays lesson.

-10 + 6 = 4

EXPLANATION: Since they have different signs, I subtracted and kept the answer positive.

ADDING INTEGERS USING A NUMBER LINE:

1.) Start at the first number you are adding.

2.) When the second number is:

Positive

Negative

Move to the right

Move to the left


-9 + 12

8 + (-10)


7 + (-3)

-3 + (-8)


Evaluate each expression for a = -15, b = -8, and c = 6.

14 + b

c + (-8)


Evaluate each expression for a = -15, b = -8, and c = 6.

a + b

c + 5 + a


Think-Pair-Share Questions:

1.) In Indianapolis, Indiana, the coldest recorded temperature was -23F. The hottest recorded temperature was 127F higher. What was the hottest temperature in Indianapolis?

2.) The Aral Sea and the Caspian Sea are actually lakes. The elevation of the Caspian Sea is 92 feet below sea level. The Aral Sea is 217 feet higher.

What is the elevation of the Aral Sea?

Lettered Heads Activity:

1.)

5.)

2.)

6.)

3.)

7.)

4.)

8.)

BEFORE YOU LEAVE

1.) Write an explanation, in complete sentences, about the following question from a student who was absent the past two days.

How do you add integers?

SMART Notebook

Name:________________________________Date:______________

Math 7 Period ____

Class Notes

OBJECTIVE: How do we subtract integers using a number line?

Anticipatory Set: Answer the following question in a complete sentence.

1.) Predict how subtracting integers using a number line will be different than adding integers using a number line.


1.) Start at the first number you are subtracting.

2.) Move to the left the number of spaces equal to the second number.

SPECIAL CASE: When subtracting a negative, MOVE TO THE RIGHT!


-1 5

4 10


3 - 9

-4 8


-9 - (-12)

2 - (-10)


Think-Pair-Square Examples

Evaluate the expression x y for each set of values.

1.) x = 14, y = -2

2.) x = -11, y = 11

3.) x = -8, y = -15

4.) The temperature changed from 5F at 6 P.M. to -2F at

midnight. What is the difference in the two temperatures?

5.) The high temperature one day was -1F. The low temperature

was -5F.What was the difference between the high and low

temperatures for the day?

6.) The record high temperature in North Carolina is 110F. The

record low temperature is -34F. What is the difference in

these temperatures?

7.) The temperature at 6 P.M. was 15F. By 8 P.M. it had dropped

9 degrees, and then by 10 P.M. it had dropped another

11 degrees. What was the temperature at 10 P.M.?

8.) A small business reported a net loss of $86,000 in 1998 and a net profit of $32,000 in 1999. What is the difference in the companys profits from 1998 to 1999?

9.) The low point of the Tonga Trench, in the Pacific Ocean, is -10,630 meters. The low point of the Mariana Trench, also in the Pacific Ocean, is 890 meters lower. What is the depth of the Mariana Trench?

10.) Allentown, Colorado, is the highest town in the United States at 11,560 feet. The lowest town is Calipatria, California, which is 185 feet below sea level. What is the difference in elevation?

BEFORE YOU LEAVE

Trade-A-Problem: Create a word problem using temperatures similar to questions 4-7. Then you will trade with your partner and solve their problem.

SMART Notebook

Name:___________________________Date:_____________

Math 7 Period ____

Quarter 1 Project Outline

Part I:

1.) Find FOUR newspaper articles (from Newsday, New York Times, etc) OR print FOUR articles from a newspaper website (Newsday.com, etc) that involve mathematics. Use a variety of articles (business, politics, sports, etc).

NOTE: Simply having numbers in an article is not a strong connection to mathematics. Be sure your article contains some type of operation or concept used in math after 5th grade. (Example: Percents)

A.) Cut-out and save the article (make sure name of the newspaper and date are included with the article)

B.) Write 6-10 sentences summarizing EACH article:

i.) 3-5 sentences summarizing the main ideas of the article

ii.) 3-5 sentences explaining how math is used in the article

Part II:

1.) Conclusion.

A.) Reflect on all the Math in the News articles you collected as a whole on a separate piece of paper.

i.) Make a general statement about how these articles have an impact on your (or your familys) life. This section must be a minimum of FOUR sentences.

Part III:

1.) Place this sheet, all the articles, all the summaries, and the concluding statement in a MANILA FOLDER. (If you do not have a manila folder, please see me so I can give you one.)

DUE DATE: Friday, October 31, 2008

RUBRIC

Points Earned

Article 1

(3 Points)

1 Point: Strong Connection to Math

1 Point: Full Summary in complete sentences

1 Point: Full Description of Math Involved in complete sentences

Article 2

(3 Points)




Article 3

(3 Points)




Article 4

(3 Points)




Conclusion

(3 points)

1.5 Point: Answered in complete sentences

1.5 Point: Answered with a full explanation

Presentation (2 points)

1 Point: All writing is legible and grammatically correct

1 Point: All work contained in MANILA FOLDER

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Points

NOTE: IF ANY PART OF THE PROJECT IS LATE, TWO POINTS WILL BE TAKEN OFF THE FINAL GRADE FOR EACH DAY THAT PART IS LATE.

SMART Notebook

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lesson 5 day 2

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