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Homework Review Lesson 1 #1a, 5, 6, 7 & Lesson 2

1a

b. Explainhowyoufoundtheoppositeofeachpoint.

Tographeachpoint,Istartedatzeroandmovedrightorleftbasedonthesignandnumber(totherightforapositivenumberandtotheleftforanegativenumber).Tographtheopposites,Istartedatzero,butthistimeImovedintheoppositedirectionthesamenumberoftimes.

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MODULE3RationalNumbersTopicA:UnderstandingPositiveandNegativeNumbersonthe

NumberLine

Lesson3:RealWorldPositiveandNegativeNumbersandZeroLesson4:TheOppositeofaNumberStudentOutcomes

Studentsusepositiveandnegativenumberstoindicateachange(gainorloss)inelevationwithafixedreferencepoint,temperature,andthebalanceinabankaccount.

Studentsusevocabularypreciselywhendescribingandrepresentingsituationsinvolvingintegers;forinstance,anelevationof10feetisthesameas10feetbelowthefixedreferencepoint.

Studentswillchooseanappropriatescaleforthenumberlinewhengivenasetofpositiveandnegativenumberstograph.

StudentOutcomes

Studentsunderstandthateachnonzerointeger,a,hasanopposite,denoteda;andthataandaareoppositesiftheyareonoppositesidesofzeroandarethesamedistancefromzeroonthenumberline.

Studentsrecognizethenumberzeroisitsownopposite.

Studentsunderstandthatsinceallcountingnumbersarepositive,itisnotnecessarytoindicatesuchwithaplussign.

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Example1:ALookatSealLevelThepicturebelowshowsthreedifferentpeopleparticipatinginactivitiesatthreedifferentelevations.Whatdoyouthinkthewordelevationmeansinthissituation?

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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: ___________

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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

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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.

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Lesson 4 EveryNumberhasanOppositeExample1:EveryNumberhasanOpposite

Locatethenumber8anditsoppositeonthenumberline.Explainhowtheyarerelatedtozero.

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2. Locate the opposites of the numbers on the number line.

a. 9

b. -2

c. 4

d. -7

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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.

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Example2:ARealWorldExample

MariadecidestotakeawalkalongCentralAvenuetopurchaseabookatthebookstore.Onherway,shepassestheFurryFriendsPetShopandgoesintolookforanewleashforherdog.TheFurryFriendsPetShopissevenblockswestofthebookstore.Aftersheleavesthebookstore,sheheadseastforsevenblocksandstopsatRaysPetShoptoseeifshecanfindanewleashatabetterprice.Whichlocations,ifany,arethefurthestfromMariawhilesheisatthebookstore?

Determineanappropriatescaleandmodelthesituationonthenumberlinebelow.

Explainyouranswer.Whatdoeszerorepresentinthesituation?

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Readeachsituationcarefullyandanswerthequestions.

4. Onanumberline,locateandlabelacreditof$15andadebitforthesameamountfromabankaccount.Whatdoeszerorepresentinthissituation?

5. Onanumberline,locateandlabel20Cbelowzeroand20Cabovezero.Whatdoeszerorepresentinthissituation?

6. Aprotonrepresentsapositivecharge.Writeanintegertorepresent5protons.Anelectronrepresentsanegativecharge.Writeanintegertorepresent3electrons.

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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.

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