module 3 lessons 3 & 4 merged
Embed Size (px)
TRANSCRIPT

Module3Lesson3&4merged.notebook
1
January21,2015
Jan298:43AM
Homework Review Lesson 1 #1a, 5, 6, 7 & Lesson 2
1a
b. Explainhowyoufoundtheoppositeofeachpoint.
Tographeachpoint,Istartedatzeroandmovedrightorleftbasedonthesignandnumber(totherightforapositivenumberandtotheleftforanegativenumber).Tographtheopposites,Istartedatzero,butthistimeImovedintheoppositedirectionthesamenumberoftimes.

Module3Lesson3&4merged.notebook
2
January21,2015
Jan2910:34AM

Module3Lesson3&4merged.notebook
3
January21,2015
Jan2910:36AM

Module3Lesson3&4merged.notebook
4
January21,2015
Aug265:45PM
MODULE3RationalNumbersTopicA:UnderstandingPositiveandNegativeNumbersonthe
NumberLine
Lesson3:RealWorldPositiveandNegativeNumbersandZeroLesson4:TheOppositeofaNumberStudentOutcomes
Studentsusepositiveandnegativenumberstoindicateachange(gainorloss)inelevationwithafixedreferencepoint,temperature,andthebalanceinabankaccount.
Studentsusevocabularypreciselywhendescribingandrepresentingsituationsinvolvingintegers;forinstance,anelevationof10feetisthesameas10feetbelowthefixedreferencepoint.
Studentswillchooseanappropriatescaleforthenumberlinewhengivenasetofpositiveandnegativenumberstograph.
StudentOutcomes
Studentsunderstandthateachnonzerointeger,a,hasanopposite,denoteda;andthataandaareoppositesiftheyareonoppositesidesofzeroandarethesamedistancefromzeroonthenumberline.
Studentsrecognizethenumberzeroisitsownopposite.
Studentsunderstandthatsinceallcountingnumbersarepositive,itisnotnecessarytoindicatesuchwithaplussign.

Module3Lesson3&4merged.notebook
5
January21,2015
Jan298:44AM
Example1:ALookatSealLevelThepicturebelowshowsthreedifferentpeopleparticipatinginactivitiesatthreedifferentelevations.Whatdoyouthinkthewordelevationmeansinthissituation?

Module3Lesson3&4merged.notebook
6
January21,2015
Jan298:44AM
ExercisesRefer back to Example 1. Use the following information to answer the questions.
The diver is 30 feet below sea level. The sailor is at sea level. The hiker is miles (10,560 feet) above sea level.
1. Write an integer to represent each situation.
diver: ___________
sailor: ___________
hiker: ___________

Module3Lesson3&4merged.notebook
7
January21,2015
Jan298:44AM
2. Use an appropriate scale to graph each of the following situations on the number line to the right. Also, write an integer to represent both situations.
a. A hiker is 15 feet above sea level.
b. A diver is 20 feet below sea level

Module3Lesson3&4merged.notebook
8
January21,2015
Jan2910:52AM
3. For each statement there are two related statements: Circle the statement that is correct. Then correct the other statement.
a. A submarine is submerged 800 feet below sea level.i. The depth of the submarine is 800 feet below sea level.
ii. 800 feet below sea level can be represented by the integer 800.
b. The elevation of a coral reef with respect to sea level is given as 250 feet.
i. The coral reef is 250 feet below sea level.
ii. The depth of the coral reef is 250 feet below sea level.

Module3Lesson3&4merged.notebook
9
January21,2015
Jan2910:55AM
Lesson 4 EveryNumberhasanOppositeExample1:EveryNumberhasanOpposite
Locatethenumber8anditsoppositeonthenumberline.Explainhowtheyarerelatedtozero.

Module3Lesson3&4merged.notebook
10
January21,2015
Jan2911:10AM

Module3Lesson3&4merged.notebook
11
January21,2015
Jan2911:11AM
2. Locate the opposites of the numbers on the number line.
a. 9
b. 2
c. 4
d. 7

Module3Lesson3&4merged.notebook
12
January21,2015
Jan2911:14AM
3. Write the integer that represents the opposite of each situation. Explain what zero means in each situation.
a. 100 feet above sea level.
b. 32 degrees below zero.
c. A withdrawal of $25.

Module3Lesson3&4merged.notebook
13
January21,2015
Jan2911:17AM
Example2:ARealWorldExample
MariadecidestotakeawalkalongCentralAvenuetopurchaseabookatthebookstore.Onherway,shepassestheFurryFriendsPetShopandgoesintolookforanewleashforherdog.TheFurryFriendsPetShopissevenblockswestofthebookstore.Aftersheleavesthebookstore,sheheadseastforsevenblocksandstopsatRaysPetShoptoseeifshecanfindanewleashatabetterprice.Whichlocations,ifany,arethefurthestfromMariawhilesheisatthebookstore?
Determineanappropriatescaleandmodelthesituationonthenumberlinebelow.
Explainyouranswer.Whatdoeszerorepresentinthesituation?

Module3Lesson3&4merged.notebook
14
January21,2015
Jan2911:20AM
Readeachsituationcarefullyandanswerthequestions.
4. Onanumberline,locateandlabelacreditof$15andadebitforthesameamountfromabankaccount.Whatdoeszerorepresentinthissituation?
5. Onanumberline,locateandlabel20Cbelowzeroand20Cabovezero.Whatdoeszerorepresentinthissituation?
6. Aprotonrepresentsapositivecharge.Writeanintegertorepresent5protons.Anelectronrepresentsanegativecharge.Writeanintegertorepresent3electrons.

Module3Lesson3&4merged.notebook
15
January21,2015
Nov172:29PM
Closing
Please take out your exit ticket for Lessons 3 & 4, close your binder, and complete the exit ticket. This will be collected.
Whatistherelationshipbetweenanynumberanditsoppositewhenplottedonanumberline?
Anonzeronumberanditsoppositeareboththesamedistanceawayfromzeroonanumberline,buttheyareonoppositesidesofzero.
Howwouldyouusethisrelationshiptolocatetheoppositeofagivennumberonthenumberline?
Iwouldusethegivennumbertofindthedistancefromzeroontheoppositeside.
Willthisprocessworkwhenfindingtheoppositeofzero?
No,becausezeroisitsownopposite.
Page 1Page 2Page 3Page 4Page 5Page 6Page 7Page 8Page 9Page 10Page 11Page 12Page 13Page 14Page 15