NAME:___________________________' ' Math'7.1'Mr.'Rogove' ' Date:__________'
G7M1L3:'Identifying'Proportional'Relationships'by'Graphing'1'
'Learning Objective:''We'will'identify'proportional'and'nonEproportional'relationships'by'graphing'them'on'a'coordinate'plane'(G7M1L3)''Concept Development: We'can'take'ratio'tables'and'plot'the'data'on'a'coordinate'plane.'''!!!!
!!!!!!!!!!x#axis:'This'is'the'horizontal'axis.''y#axis:'this'is'the'vertical'axis.''Origin:''The'point'where'the'xEaxis'and'the'yEaxis'intersect.''The'ordered'pair'at'the'origin'is'(0,0).'''Independent.Variable:'this'always'goes'on'the'xEaxis.'Often,'this'variable'is'time.''''Dependent.Variable:'This'always'goes'on'the'yEaxis.''Examples:''• In'a'race,'the'distance'you'run'is'dependent'on'how'long'you'run'for…therefore,'
distance'is'the'dependent'variable'and'time'is'the'independent'variable.'• If'you'have'2'cookies'for'every'3'ounces'of'milk,'the'amount'of'cookies'you'will'
eat'is'dependent'on'how'much'milk'you'have…so'cookies'is'dependent'and'milk'is'dependent.''
• If'you'are'depositing'money'into'a'bank'account'on'a'weekly'basis,'the'amount'of'money'you'have'deposited'depends'on'how'many'weeks'have'passed,'so'money'is'dependent,'time'is'independent.''
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NAME:___________________________' ' Math'7.1'Mr.'Rogove' ' Date:__________'
G7M1L3:'Identifying'Proportional'Relationships'by'Graphing'2'
Consider'the'following'example:'Mari'sold'candy'bars'to'help'raise'money'for'the'bridge'club.'The'table'below'shows'the'amount'of'candy'he'sold'to'the'amount'of'money'he'received:'''
1.'What'is'the'independent'variable?''What'is'the'dependent'variable?'''''2.'Is'this'a'proportional'relationship?''Why'or'why'not?'
'Now,'lets'redo'the'table'and'make'it'a'proportional'relationship:'
'1.'How'do'I'know'this'is'a'proportional'relationship?''Graph'it'on'the'grid'below.'(remember'to'label'your'axes)'''2.'How'much'money'would'Mari'make'if'she'sold'no'candy'bars'''3.'How'much'would'she'make'if'she'sold'20'candy'bars?'
Graphs.with.Proportional.Relationships.'1.'''''2.'
candy'bars'sold'
Money'received'
'2' 3'4' 5'8' 9'12' 12'
candy'bars'sold'
Money'received'
'2' 3'4' '6' '8' '
NAME:___________________________' ' Math'7.1'Mr.'Rogove' ' Date:__________'
G7M1L3:'Identifying'Proportional'Relationships'by'Graphing'3'
Guided Practice: Steps.for.Graphing.Relationships.and.Determining.Proportionality.1.'Study'the'ratio'table.'Is'it'showing'a'proportional'relationship?'2.'Graph'the'points'on'the'coordinate'plane.'''2a.'Do'the'points'fall'in'a'line?'2b.'Does'the'line'pass'through'the'origin?'3.'If'yes'to'both'questions,'then'relationship'is'proportional.''''
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x* y*' '' '' '' '
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x* y** ** ** ** *
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x* y*1' 3'7' 1'4' 2'
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x* y*6' 1'4' 3'2' 5'
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NAME:___________________________' ' Math'7.1'Mr.'Rogove' ' Date:__________'
G7M1L3:'Identifying'Proportional'Relationships'by'Graphing'4'
Age'v.'cost'at'Sweet'Tomatoes''''''''''''''
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Number'Grades'v.'GPA'points'
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Gallons'of'gas'and'cost'''
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Flashlights'owned'and'batteries'used.'''
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NAME:___________________________' ' Math'7.1'Mr.'Rogove' ' Date:__________'
G7M1L3:'Identifying'Proportional'Relationships'by'Graphing'5'
'Independent Practice: Take'problem'set'from'lesson'5'and'6…''Activating Prior Knowledge: We'know'when'a'relationship'is'proportional'by'looking'at'a'table.'''''
x* y*
4' 8'6' 12'10' 20'5' 10'
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'''
x* y*
6' 7'5' 6'1' 2'9' 10'
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'''Closure: None''Teacher Notes: Maps'to'lesson'5'from'ENY'Module'1'Grade'7.''
