Problem Solving Strategies With Examples

8/12/2019 Problem Solving Strategies With Examples

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Problem Solving StrategiesFind a Pattern

Question: Carol has written a number pattern that begins with 1, 3, 6, 10, 15 !" she #ontinuesthis pattern, what are the ne$t "our numbers in her pattern%

Strateg&:

1' ()*+S-.)*:

/hat do &ou need to "ind%

ou need to "ind numbers a"ter 15

2' P.):

4ow #an &ou solve the problem%

ou #an "ind a pattern oo at the numbers -he new number depends upon the numberbe"ore it

3' S7+:

oo at the numbers in the pattern

3 8 1 9 2 starting number is 1, add 2 to mae 3'


10 8 6 9 starting number is 6, add to mae 10'


)ew numbers will be

15 9 6 8 21

21 9 ; 8 2ae a -able


2/7

Question: ou save ?3 on >onda& +a#h da& a"ter that &ou save twi#e as mu#h as &ou savedthe da& be"ore !" this pattern #ontinues, how mu#h would &ou save on Frida&%

Strateg&:

1' ()*+S-.)*:

ou need to now that &ou save ?3 on >onda& -hen &ou need to now that &ou alwa&s savetwi#e as mu#h as &ou "ind the da& be"ore

2' P.):


ou #an mae a table lie the one below ist the amount o" mone& &ou save ea#h da&emember to double the number ea#h da&

Day Amount of Money Saved

Monday $3

Tuesday $6

Wednesday $12

Thursday $24

Friday $48

ou save ?< on Frida&

Question: @a# waled "rom Santa Clara to Palo .lto !t too 1 hour 25 minutes to wal "romSanta Clara to os .ltos -hen it too 25 minutes to wal "rom os .ltos to Palo .lto 4e arrivedin Palo .lto at 2:5 P> .t what time did he leave Santa Clara%

Strateg&:


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1' ()*+S-.)*:


ou need to "ind what the time was when @a# le"t Santa Clara

2' P.):


ou #an wor ba#wards "rom the time @a# rea#hed Palo .lto Subtra#t the time it too to wal"rom os .ltos to Palo .lto -hen subtra#t the time it too to wal "rom Santa Clara to os .ltos

3' S7+:

Start at 2:5 -his is the time @a# rea#hed Palo .ltoSubtra#t 25 minutes -his is the time it too to get "rom os .ltos to Palo .lto-ime is: 2:20 P>

Subtra#t: 1 hour 25 minutes -his is the time it too to get "rom Santa Clara to os .ltos

@a# le"t Santa Clara at 12:55 P>

Problem Solving Strategies

Auess and Che#

Question: .m& and @ud& sold 12 show ti#ets altogether .m& sold 2 more ti#ets than @ud&4ow man& ti#ets did ea#h girl sell%

Strateg&:

1' ()*+S-.)*:


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ou need to now that 12 ti#ets were sold in all ou also need to now that .m& sold 2 moreti#ets than @ud&

2' P.):


ou #an guess and #he# to "ind two numbers with a sum o" 12 and a di""eren#e o" 2 !" &our"irst guess does not wor, tr& two di""erent numbers

3' S7+:

First Auess:.m& 8 < ti#ets@ud& 8 ti#ets

Che#< 9 8 12< B 8 .m& sold more ti#ets'-hese numbers do not wor

Se#ond Auess:.m& 8 ; ti#ets@ud& 8 5 ti#ets

Che#; 9 5 8 12

;B 5 8 2 .m& sold 2 more ti#ets'-hese numbers do wor

.m& sold ; ti#ets and @ud& sold 5 ti#ets

Problem Solving Strategies*raw a Pi#ture

Question: aura has 3 green #hips, blue #hips and 1 red #hip in her bag /hat "ra#tional parto" the bag o" #hips is green%

Strateg&:

1' ()*+S-.)*:



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ou need to "ind how man& #hips are in all -hen &ou need to "ind how man& o" the #hips aregreen

2' P.):


ou #an draw a pi#ture to show the in"ormation -hen &ou #an use the pi#ture to "ind theanswer

3' S7+:

*raw < #hips

3D< o" the #hips are green

Problem Solving Strategies>ae a ist

Question: @ud& is taing pi#tures o" @im, Earen and >ie She ass them, 4ow man& di""erent

wa&s #ould &ou three #hildren stand in a line%

Strateg&:

1' ()*+S-.)*:

/hat do &ou need to now%

ou need to now that an& o" the students #an be "irst, se#ond or third


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2' P.):


ou #an mae a list to help &ou "ind all the di""erent wa&s Choose one student to be "irst, and

another to be se#ond -he last one will be third

3' S7+:

/hen &ou mae &our list, &ou will noti#e that there are 2 wa&s "or @im to be "irst, 2 wa&s "orEaren to be "irst and 2 wa&s "or >ie to be "irst

First Second Third

Jim Karen Mike

Jim Mike Karen

Karen Jim MikeKaren Mike Jim

Mike Karen Jim

Mike Jim Karen

So, there are 6 wa&s that the #hildren #ould stand in line

Problem Solving Strategies/rite a )umber Senten#e

Question: Sam put 1< pen#ils in 3 eGual groups 4ow man& pen#ils are in ea#h group%

Strateg&:

1' ()*+S-.)*:

/hat do &ou need to now%

ou need to now that there are 1< pen#ils and the& are divided into 3 eGual groups

2' P.):



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ou #an write a number senten#e to solve the problem /rite a division senten#e to divide thepen#ils in 3 eGual groups

3' S7+:

1< H 3 8 6

-here are 6 pen#ils in ea#h group

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Problem Solving Strategies With Examples