done math-g4-m6-end-of-module-review - mrs. kingston · microsoft word - done...

Eureka'Math'End'of'Module'Review'4.6'''

Common'Core'Standards:'4.NF.5,'4.NF.6,'4.NF.7,'4.MD.2''

='

''''''''''1' ' '''''''''''''''''''1.5' ' ''''''''''''''''''2' ' ''''''''''''''2.5' '''''''''''''''''''''''''''''3'

''''''''''3.25''''''''''''''''''''''''''''''3.3' ' ''''''''''''''''''3.35' ' ''''''''''''''3.4' '''''''''''''''''''''''''''3.45'

Name''''' ' ' ' ' ' ' ''' Date''' ' ''''____/24'

1. Decompose'each'fraction'into'hundredths'using'area'models.''Then,'write'an'equivalent'number'sentence'using'decimals.''

a. !!" = !!!!!!!!!''

'

b. !"!" = !!!!!!!!!!''

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'

Decompose'each'fraction'into'hundredths.''Then,'write'an'equivalent'statement'for'each'part'using'decimals.'

c. !!" = !!!!!!!!!!' d.' !

!" = !!!!!!!!!!'

2. Several'points'are'plotted'on'the'number'lines'below.''Identify'the'decimal'number'associated'with'each'point.''

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A.' ______' B.' ______' C.' ______''

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D.'''______' E.' _______' F.' ______''''

2

A' B' C'

D' E' F'



'3. Use'the'symbols'>,'=,'or'<'to'compare'the'following.''Justify'your'conclusions'using'pictures,'

numbers,'or'words.''a. 0.03' '''''''0.33' b.' 0.4' ''''''''''0.40'

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c. 15'tenths' 1.5' ' ' ' ' d.'''1.05'''''''''''1 !!"'

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e. 0.18' !!!!!!!"!"' ' ' ' ' ' f.'''3.05''''''''''''3 !!""'

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g. 3'tenths''+'5'hundredths''' 2'tenths'+'11'hundredths''

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h. 5'hundredths'+'8'tenths'' 5'tenths'+'15'hundredths'

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4. Solve.'

a. Express'your'solution'as'a'fraction'of'a'meter.' ' 0.4'm'+'1.25'm''''''

b. Express'your'solution'as'a'fraction'of'a'liter.'' ' 1.6'L'+'0.52'L''''''

c. Express'your'solution'as'a'fraction'of'a'dollar.'' ' 3'dimes'1'penny'+'58'pennies''''''

5. Solve.'

a. !!" !+!

!!""' b.' !

!" !+!!"!""'

'

'

'

c. !!" !+!

!!!""' d.' !"

!"" !+!!!"'

'

'

e. !"!"" !+!

!"!"' f.' !

!" !+!!"!"" !+!

!!"'

'

'



''''''''''''''58' ' '''''''''''''''''''' ' '''''''''''''''''''''''''''''''''''''''''''''59' ' ''''''''''''''''' '''''''''''''''''''''''''''''

58.21'

58' !"!""'

6. Answer'the'following'questions'about'a'swim'meet.'

a. Mandy'and'Kim'swam'in'a'relay'race.''Mandy'had'a'time'of'57.6'seconds.''Kim'had'a'time'of'58.42'seconds.''Together,'how'long'did'it'take'them'to'complete'the'swim'race?''Record'your'answer'as'a'decimal.'

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b. The'times'of'the'5'fastest'swimmers'were'58.21'seconds,'58.42'seconds,'58.6'seconds,'58.70'seconds,'and'58.75'seconds.''Locate'these'times'on'the'number'line.''Record'the'times'as'decimals'and'fractions.''One'has'been'completed'for'you.'

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c. Kim'swam'as'far'as'she'could'in'60'seconds.'Her'first'try'she'swam'25.05'meters.''She'swam'2.3'meters'farther'on'her'next'swim.''Write'a'statement'to'compare'the'two'distances'that'Kim'swam'using'>,'<,'or'=.'

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d. At'the'store,'Jim'spent'86'cents'on'a'soda'and'6'dimes'on'a'candy'bar.''Shade'the'area'models'to'represent'the'cost'of'each'item.'

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e. Write'a'number'sentence'in'fraction'form'to'find'the'total'cost'of'a'soda'and'a'candy'bar.''After'solving,'write'the'complete'number'sentence'in'decimal'form.'

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f. Mary'and'Sam'each'have'an'empty'snack'container.''They'mark'their'containers'to'show'tenths.''Mary'and'Sam'each'fill'their'containers'with'0.2'units'of'chips.''However,'Mary'has'more'chips'in'her'container.''Explain'how'this'is'possible.'

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='

''''''''''1' ' '''''''''''''''''''1.5' ' ''''''''''''''''''2' ' ''''''''''''''2.5' '''''''''''''''''''''''''''''3'

''''''''''3.25' ' '''''3.3' ' ''''''''''''''''''3.35' ' ''''''''''''''3.4' ''''''''''''''''''''''''''3.45'

Answer'Key'

1. Decompose'each'fraction'into'hundredths'using'area'models.''Then,'write'an'equivalent'number'sentence'using'decimals.'(4pts=parts'aNd'correct,'3pts=3'of'4'parts'correct'with'reasoning'or'4'parts'without'shading'the'charts,'2pts='2'parts'correct,'1pt='fewer'than'2'parts'correct)(4.NF.5,'4.NF.6)''

a.' !!" =!"

!!!!!!!""!!!''

'

!. !"!" =!"#

!!!!""!!!''

'

'

Decompose'each'fraction'into'hundredths.''Then,'write'an'equivalent'statement'for'each'part'using'decimals.'

!.!!!! !!" =!"

!!!!!""!!!!!!'='0.30' d.' !!" =

!"!!!!!!!""!!!!='0.80'

2. Several'points'are'plotted'on'the'number'lines'below.''Identify'the'decimal'number'associated'with'each'point.'(4pts=all'correct,'3'pts=4'or'5'correct,'2pts=3'parts'correct,'1pt=2'or'fewer'correct)(4.NF.6)'

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A.' 1.2' B.' 1.9' C.' 2.7'

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D.''3.27' E.' 3.34' F.' 3.41''

1

='

A'B'

C'

D' E' F'



'3. Use'the'symbols'>,'=,'or'<'to'compare'the'following.''Justify'your'conclusions'using'pictures,'

numbers,'or'words.'(4pts='all'8'parts'correct'using'pictures,'numbers'or'words,'3pts=6'or'7'correct'with'reasoning'or'all'correct'no'reasoning,'2pts=4'or'5'correct'some'reasoning,'1pt=four'or'fewer'correct)(4.NF.6,'4.NF.7)''

a.''0.03' <'''''''0.33' b.' 0.4' '''''='''''0.40'

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c.'15'tenths'''<' ''1.5' ' ' ' ' ' d.'''1.05''''''''<''''1 !!"'

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e.'0.18''''''<''!!!!!!!"!"' ' ' ' ' ' f.'''3.05'''''''='''''3 !!""'

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g.''3'tenths''+5'hundredths'''''''>' 2'tenths'+'11'hundredths''

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h.''5'hundredths'+'8'tenths'''''''>' 5'tenths'+'15'hundredths'

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'

'

!!""'<'

!!!""'

'

!!"'='

!"!""'

'

!"!"'<'1

!!"'

'

1 !!""'<'1

!"!""'

'

!"!""'<'

!"#!""'

'

3 !!""'=''3

!!""'

'

3!!"#!ℎ! + 5!ℎ!"#$%#&ℎ! = 0.35 = !"!""''''''''''''''''''''

!"!""'>'

!"!""'''''''''''''''''''''''''''

2"tenths"+"11"hundredths!='0.2'+'0.11'='0.32'=' !"!""'

5!ℎ!"#$%#&ℎ! + 8!!"#!ℎ! = 0.85 = !"!""''''''''''''''''''''

!"!""'>'

!"!""'''''''''''''''''''''''''''

5"tenths"+"15"hundredths!='0.5'+'0.15'='0.65'=' !"!""'



4. Solve.'(4pts=correctly'answers'a'3'parts,'3pts=2'parts'with'reasoning'or'3'parts'some'reasoning,'2pts=2'parts'correct'limited'reasoning,'1pt=fewer'than'2'parts'correct)(4.NF.5)'

a. Express'your'solution'as'a'fraction'of'a'meter.' ' 0.4'm'+'1.25'm''''''

b. Express'your'solution'as'a'fraction'of'a'liter.'' ' 1.6'L'+'0.52'L''''''

c. Express'your'solution'as'a'fraction'of'a'dollar.'' ' 3'dimes'1'penny'+'58'pennies''3'dimes'='0.30,'1'penny'='0.01,'58'pennies'='0.58''''

5. Solve.'(4pts=a'6'correct,'3pts=5'correct,'2pts=3'or'4'correct,'1pt='less'than'3'correct)(4.NF.5)'

a. !!" !+!

!!""' b.' !

!" !+!!"!""'

'

'

'

''''''!.!!!! !!" !+!!!!""' d.' !"

!"" !+!!!"'

'

'

'''''''!.!!!! !"!"" !+!!"!"' f.' !

!" !+!!"!"" !+!

!!"'

'

'

'

''1.25'''''''''''+0.40'''1.65'

1.65m'='1 !"!""'m'

''1.60'''''''''''+0.52'''2.12'

2.12'L'='2 !"!""'L'

''0.58'''''''''''+0.31'''0.89'

0.89'cents'=' !"!""'cents'

!!"'='

!"!""'

!"!""'+'

!!""'='

!"!""'

!!"'='

!"!""'

!"!""'+'

!"!""'='

!"!""'

!!"'='

!"!""'

!"!""'+'

!!!""'='

!"!""''

!!"'='

!"!""'

!"!""'+'

!"!""'='

!"#!""'or'1

!"!""'

!"!"'='

!""!""'

!"!""'+'

!""!""'='

!"#!""'or'2

!"!""'

!!"'='

!"!""''''''''''

!!"'='

!"!""'

!"!""'+'

!"!""'+'

!"!""'='

!!!""''



''''''''''''''58' ' '''''''''''''''''''' ' '''''''''''''''''''''''''''''''''''''''''''''59' ' ''''''''''''''''' '''''''''''''''''''''''''''''

58.21'

58' !"!""'

6. Answer'the'following'questions'about'a'swim'meet.'(4pts=all'6'correct'with'evidence,'3pts=5'correct'with'reasoning'or'6'with'no'reasoning,'2pts=3'or'4'correct'some'reasoning,'1pt=less'than'3'correct)(4.NF.5,'4.NF.6,'4.NF.7,'4.MD.2)'

a. Mandy'and'Kim'swam'in'a'relay'race.''Mandy'had'a'time'of'57.6'seconds.''Kim'had'a'time'of'58.42'seconds.''Together,'how'long'did'it'take'them'to'complete'the'swim'race?''Record'your'answer'as'a'decimal.'

'

'

'

'

b. The'times'of'the'5'fastest'swimmers'were'58.21'seconds,'58.42'seconds,'58.6'seconds,'58.70'seconds,'and'58.75'seconds.''Locate'these'times'on'the'number'line.''Record'the'times'as'decimals'and'fractions.''One'has'been'completed'for'you.'

'

'

'

' '

'

'

'

'

'

'

c. Kim'swam'as'far'as'she'could'in'60'seconds.'Her'first'try'she'swam'25.05'meters.''She'swam'2.3'meters'farther'on'her'next'swim.''Write'a'statement'to'compare'the'two'distances'that'Kim'swam'using'>,'<,'or'=.'

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'

'''''''58.42'+'''''57.60''''''116.02'''''seconds'for'Mandy'and'Kim'to'complete'the'swim'race.'

58.75'

58' !"!""'

58.42'

58' !"!""'

58.70'

58' !"!""'

58.6'

58' !"!""'

'''''''25.05'+'''''02.30''''''''27.35'''''meters'for'Kim’s'second'race'

''''''25.05'<'27.35''



d.''At'the'store,'Jim'spent'75'cents'on'a'soda'and'7'dimes'on'a'candy'bar.''Shade'the'area'models'to'represent'the'cost'of'each'item.'

'

'

'

'

'

'

'

'

'

'

e.''Write'a'number'sentence'in'fraction'form'to'find'the'total'cost'of'a'soda'and'a'candy'bar.''After'solving,'write'the'complete'number'sentence'in'decimal'form.'

'

'

'

'

'

'

f.'Mary'and'Sam'each'have'an'empty'snack'container.''They'mark'their'containers'to'show'tenths.''Mary'and'Sam'each'fill'their'containers'with'0.2'units'of'chips.''However,'Mary'has'more'chips'in'her'container.''Explain'how'this'is'possible.'

'

'

Mary’s'snack'container'is'larger'and'hold'more'chips,'so'if'she'has'.2'units'of'her'container'filled'and'Sam'has'.2'units'as'well,'Mary’s'.2'will'be'larger'than'Sam’s.'

'

'

'

'

'

!"!""+ !

!"!""!'='

!"#!""'='1'

!"!""'

'

'

'''0.75'+'0.70''''1.45''''''''''''$1.45'

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