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Daily Skill Builders:Word Problems

ByLINDAARMSTRONG

COPYRIGHT©2008MarkTwainMedia,Inc.

ISBN978-1-58037-446-0

PrintingNo.CD-404087

MarkTwainMedia,Inc.,PublishersDistributedbyCarson-DellosaPublishingCompany,Inc.

Thepurchaseofthisbookentitlesthebuyertoreproducethestudentpagesforclassroomuseonly.OtherpermissionsmaybeobtainedbywritingMarkTwainMedia,Inc.,Publishers.

All rights reserved. Printed in the United States of America.

DailySkillBuilders:WordProblems

ii©MarkTwainMedia,Inc.,Publishers

Table of Contents

TableofContents

IntroductiontotheTeacher........................................ivNCTMStandardsMatrixforGrades5–8................... 1Activity # Skill1. FindFacts,LocateQuestions,andSelect Processes........................................................ 12. FindFacts,LocateQuestions,andSelect Processes........................................................ 13. PlaceValue...................................................... 24. PlaceValue...................................................... 25. Addition:ThreeDigits,NoRegrouping............. 36. Addition:ThreeDigits,NoRegrouping............. 37. Subtraction:ThreeDigits,NoRegrouping........ 48. Subtraction:ThreeDigits,NoRegrouping........ 49. Addition:TwoandThreeNumbers,Three DigitsWithRegrouping.................................... 510. Addition:TwoandThreeNumbers,Three DigitsWithRegrouping.................................... 511. SubtractionWithRegrouping........................... 612. SubtractionWithRegrouping........................... 613. MixedAdditionandSubtraction....................... 714. MixedAdditionandSubtraction....................... 715. RoundOfftoTensandHundreds.................... 816. RoundOfftoTensandHundreds.................... 817. Estimating........................................................ 918. Estimating........................................................ 919. Multiplication:One-DigitTimesTwo-Digits..... 1020. Multiplication:One-DigitTimesTwo-Digits..... 1021. MultiplicationWithRegrouping...................... 1122. MultiplicationWithRegrouping...................... 1123. Division:One-DigitDivisor,NoRemainder.... 1224. Division:One-DigitDivisor,NoRemainder.... 1225. Division:One-DigitDivisorWithRemainder... 1326. Division:One-DigitDivisorWithRemainder... 1327. Division:One-DigitDivisor,Three-Digit Dividend,NoRemainder................................ 1428. Division:One-DigitDivisor,Three-Digit Dividend,NoRemainder................................ 1429. Division:One-DigitDivisor,Three-Digit DividendWithRemainder.............................. 1530. Division:One-DigitDivisor,Three-Digit DividendWithRemainder.............................. 1531. CheckingDivisionWithMultiplication............ 1632. CheckingDivisionWithMultiplication............ 1633. Division:Two-DigitDivisors............................ 1734. Division:Two-DigitDivisors............................ 1735. Averages........................................................ 1836. Averages........................................................ 1837. Averages........................................................ 1938. Averages........................................................ 1939. IdentifyingPolygons,Lines,LineSegments, andRays........................................................ 20

40. IdentifyingPolygons,Lines,LineSegments, andRays........................................................ 2041. IdentifyingRightAngles,AcuteAngles,and ObtuseAngles............................................... 2142. IdentifyingRightAngles,AcuteAngles,and ObtuseAngles............................................... 2143. IdentifyingtheRadiusandDiameterofa Circle ............................................................ 2244. IdentifyingtheRadiusandDiameterofa Circle ............................................................ 2245. Symmetry....................................................... 2346. Symmetry....................................................... 2347. IdentifyingCongruentFigures........................ 2448. IdentifyingCongruentFigures........................ 2449. IdentifyingFractions....................................... 2550. IdentifyingFractions....................................... 2551. ComparingFractionsUsingaFraction BarChart....................................................... 2652. ComparingFractionsUsingaFraction BarChart....................................................... 2653. RecognizingEquivalentFractionsUsing aChart........................................................... 2754. RecognizingEquivalentFractionsUsing aChart........................................................... 2755. GeneratingEquivalentFractions.................... 2856. GeneratingEquivalentFractions.................... 2857. AddingFractions............................................ 2958. AddingFractions............................................ 2959. SubtractingFractions..................................... 3060. SubtractingFractions..................................... 3061. ReducingProperandImproperFractions...... 3162. ReducingProperandImproperFractions...... 3163. ChangingMixedNumberstoImproper Fractions........................................................ 3264. ChangingMixedNumberstoImproper Fractions........................................................ 3265. AddingandSubtractingMixedNumbers....... 3366. AddingandSubtractingMixedNumbers....... 3367. RecognizingDecimalFractions..................... 3468. RecognizingDecimalFractions..................... 3469. AddingandSubtractingDecimalFractions.... 3570. AddingandSubtractingDecimalFractions.... 3571. ComparingDecimalsandFractions............... 3672. ComparingDecimalsandFractions............... 3673. LineGraphs................................................... 3774. BarGraphs.................................................... 3775. PieGraphs..................................................... 3876. PieGraphs..................................................... 3877. Probability...................................................... 3978. Probability...................................................... 3979. OrderedPairs................................................. 40


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Table of Contents (cont.)

TableofContents

80. OrderedPairs................................................. 4081. TreeDiagramsandProbability....................... 4182. TreeDiagramsandProbability....................... 4183. Measurement:Length—Inches,Feet,and Yards ............................................................ 4284. Measurement:Length—Inches,Feet,and Yards ............................................................ 4285. Measurement:Length—UptoaMeter.......... 4386. Measurement:Length—UptoaMeter.......... 4387. Measurement:Length—FoottoMile.............. 4488. Measurement:Length—FoottoMile.............. 4489. Measurement:Length—MetertoKilometer... 4590. Measurement:Length—MetertoKilometer... 4591. PerimeterandArea........................................ 4692. PerimeterandArea........................................ 4693. Volume........................................................... 4794. MetricVolume................................................ 4795. Measurement:Weight—Ouncesand Pounds........................................................... 4896. Measurement:Weight—Ouncesand Pounds........................................................... 4897. Measurement:Weight—Gramsand Kilograms....................................................... 4998. Measurement:Weight—Kilogramsand MetricTons..................................................... 4999. ElapsedTime................................................. 50100. ElapsedTime................................................. 50101. SpeedandDistance...................................... 51102. SpeedandDistance...................................... 51103. TimeZones................................................... 52104. TimeZones................................................... 52105. Money........................................................... 53106. Money........................................................... 53107. Money:Estimation......................................... 54108. Money:Estimation......................................... 54109. Money:AddingandSubtracting..................... 55110. Money:AddingandSubtracting..................... 55111. Money:Multiplying......................................... 56112. Money:Multiplying......................................... 56113. Money:Dividing............................................. 57114. Money:Dividing............................................. 57115. BasicOperationsWithNumbersMore Than1,000..................................................... 58116. BasicOperationsWithNumbersMore Than1,000..................................................... 58117. Three-DigitDivisors....................................... 59118. Three-DigitDivisors....................................... 59119. Range,Median,andMean............................ 60120. Range,Median,andMean............................ 60121. AddingandSubtractingUnlikeFractions....... 61122. AddingandSubtractingUnlikeFractions....... 61

123. AddingandSubtractingMixedNumbers....... 62124. AddingandSubtractingMixedNumbers....... 62125. MultiplyingMixedNumbers:Area.................. 63126. MultiplyingMixedNumbers:Area.................. 63127. DividingFractions.......................................... 64128. DividingFractions.......................................... 64129. MultiplyingWithDecimalFraction Multipliers....................................................... 65130. MultiplyingWithDecimalFraction Multipliers....................................................... 65131. DividingWithDecimalFractionDivisors........ 66132. DividingWithDecimalFractionDivisors........ 66133. Percents......................................................... 67134. Percents......................................................... 67135. Ratios............................................................ 68136. Ratios............................................................ 68137. Proportions.................................................... 69138. Proportions.................................................... 69139. Three-DimensionalForms............................. 70140. Three-DimensionalForms............................. 70141. Circumference................................................ 71142. Circumference................................................ 71143. AreasofTriangles.......................................... 72144. AreasofComplexShapes............................. 72145. Pictographs.................................................... 73146. Pictographs.................................................... 73147. Surveys.......................................................... 74148. Surveys.......................................................... 74149. CoordinateGraphing..................................... 75150. LogicProblems.............................................. 75151. Integers.......................................................... 76152. SurfaceAreaofRectangularSolids............... 76153. CalculatingInterest........................................ 77154. MultipleLineGraphs...................................... 77155. EquationsWithMissingOperations............... 78156. VennDiagrams.............................................. 78157. AddandRoundOffLargeNumbers.............. 79158. MultiplyandRoundOffDecimals.................. 79159. Exponents...................................................... 80160. ReducingFractions........................................ 80161. ChangingFractionstoDecimals.................... 81162. FactorTrees................................................... 81

AnswerKeys............................................................ 82

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ACTIVITY 1 Find Facts, Locate Questions, and Select Processes

Tosolveawordproblem,firstfindthefactsanddecidewhatisbeingasked.Readthepara-graph,andanswerthequestions.

Scientistsdiscover four linesofspiny lobsters travelingacross theseafloor.Thereare62 lobsters inone line,60 lobsters inanotherline,56lobstersinthethirdline,and59lobstersinthelastline.

1. Whatnumberfactsaregiven?

2. Whatisbeingcounted?

3. Writeaquestionthatasksforatotalamount,andthenaddtoanswerit.

4. Writeaquestionthatasksforadifference,andthensubtracttoanswerit.

ACTIVITY2 Find Facts, Locate Questions, and Select Processes

Thesamegroupoffactsmaybeusedtocreateseveraldifferentproblems.Tryit!

Therhinocerosiguana,whichlivesontheislandofHispaniola,laysupto20eggsinaburrow.Whilestudyinganiquanacolony,naturalistsfound12eggsinthefirstburrow,6eggsinthesecondburrow,11eggsinthethirdburrow,and20eggsinthefourthburrow.

1. Whatnumberfactsaregiven?

2. Whatisbeingcounted?

3. Writeaquestionthatasksforacomparison.

4. Writeaquestionthatasksforatotal.Thensolvetheproblem.

5. Writeaquestionthatasksforadifference.Thensolvetheproblem.

FindFacts,LocateQuestions,andSelectProcesses

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ACTIVITY3 Place Value

Whenisaonenotaone?Aoneinthethousandsplacestandsforonethousand,andaoneinthehundredsplacestandsforonehundred.Readtheproblemandanswerthequestions.

Chrisischanginghistown’spopulationsign.Slotsinthebackofthesignaremarkedfortheones,tens,hundreds,thousands,andtenthou-sandsplaces.Chrismustslidethecorrectnumbercardintoeachplace.Thetown’scurrentpopulationis234,169.

1. Whichnumberwillheenterintheten-thousandsplace?

2. Whichnumberwillheenterinthetensplace?

3. Whichnumberwillheenterinthehundred-thousandsplace?

4. Whichnumberwillheenterinthehundredsplace?

5. Whichnumberwillheenterinthethousandsplace?

ACTIVITY4 Place Value

Useplacevaluetoanswerthequestions.

Mary likestogarden.Sheputsoneplant inthefirstrow,twoplants inthesecondrow,andsoon.Shehasatotalof17rowsinhergarden.AnswerthefollowingquestionsaboutMary’sgarden.

1. Mary grew two pumpkin plants. In which row werethepumpkins?

2. Pepperswereinrow12.HowmanypepperplantsdidMaryhave?

3. Marylovesfreshcornmostofall.Whatisthebiggestnumberofcornplantsshecouldgrow?

4. Watermelonswereinrow5.HowmanywatermelonplantsdidMaryneedtobuy?5. Marygrewtwokindsoftomatoplants:pastetomatoesinrow7,andbeefsteaktomatoes inrow8.Whichkindoftomatodidsheplantmoreof?

PlaceValue

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ACTIVITY5 Addition: Three Digits, No Regrouping

Gatherthefactsandthenadd.Keeptheones,tens,andhundredslinedup.

Kara’steamearned324pointsinherschool’scommunityservicecompe-tition.Jared’steamearned223points,Jason’steamearned101points,andMike’steamearned452.

1. HowmanypointsdidMike’steamandJason’steamearninall?

2. HowmanypointsdidKara’steamandJason’steamearninall?

3. HowmanypointsdidJason’steamandJared’steamearninall?

4. HowmanypointsdidKara’steamandMike’steamearninall?

5. Whichpairearned675points?

ACTIVITY6 Addition: Three Digits, No Regrouping

Readabouttheschool’saluminumcandrive,andthenanswerthequestions.

Leo collected 730 aluminum cans during his club’s recycling drive.Jeremy collected 265. Gerardo brought in 620. Jordan gathered 532,andMiguelturnedin614.

1. HowmanycansdidLeoandJeremycollectinall?

2. HowmanycansdidGerardoandJordanturnin?

3. HowmanycansdidLeoandMiguelturnin?

4. HowmanycansdidJeremyandGerardocollect?

5. Whichpaircollected797cans?

Addition:ThreeDigits,NoRegrouping

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ACTIVITY7 Subtraction: Three Digits, No Regrouping

Readtheparagraphandanswerthequestionsinorder.

The public library’s computer keeps track of returns. On Saturdaymorning, 478booksweredue.By11:30 a.m., 200of themhadbeenreturned. By 1:30, another 150 had been returned.When the libraryclosedat6:00p.m.,only10bookswerestilldue.

1. Howmanybookswerestilldueat11:30a.m.?

2. Howmanybookswerestilldueat1:30p.m.?

3. Howmanybookswerereturnedbetween1:30p.m.and6:00p.m.?

4. HowmanyofthebooksthatwereduewerereturnedonSaturday?

ACTIVITY8 Subtraction: Three Digits,No Regrouping

Readthisparagraphabouttheschoolofficeandsolvethesubtractionproblems.Checkyourworkbyadding.

OnMondaymorning,therewere958sheetsofwhitepaperinthesupplyroom.The office manager used 122 sheets to print a notice.Then, thenurseused203sheetstoprintpermissionslips.Next,Mrs.Clarkused21sheetstoprintahistorytest.Finally,thecounselorused100sheetstoprintaCareerDaysurvey.

1. Howmanysheetsofwhitepaperwereleftaftertheofficemanagerprintedthenotice?

2. Howmanysheetswereleftafterthenurseprintedthepermissionslips?

3. HowmanysheetswereleftafterMrs.Clarkprintedthehistorytest?

4. HowmanysheetswereleftafterthecounselorprintedtheCareerDaysurvey?

Subtraction:ThreeDigits,NoRegrouping

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