MAE2240 Lecture Notes - Lecture 6: Australian Curriculum, Mathematical Finance
29 May 2018
School
Department
Course
Professor
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!WEEK!6!
Teaching!fractions!in!primary!school!-!number!and!algebra!
• Number'and'place'value'
• Fractions'and'decimals'
• Money'and'financial'mathematics'
• Patterns'and'algebra'
'
Australian!Curriculum!
• Year%1:'recognise'one'half'as'two'equal'parts'of'a'whole,'sharing'of'readily'available'
materials'into'two'equal'portions,'splitting'an'object'into'two'equal'pieces'and'
describing'how'the'pieces'are'equal'
• Year%2:'Recognise'and'interpret'common'uses'of'halves,'quarters'and'eights'of'shapes'
and'collections'
• Year%3:'Model'and'represent'unit'fractions'including'1/2,'1/4,'1/3,'1/5'and'their'
multiples'to'a'complete'whole'
• Year%4:'Investigate'equivalent'fractions'used'in'contexts,'count'by'quarters'halves'and'
thirds,'including'with'mixed'numerals.'Locate'and'represent'these'fractions'on'a'
number'line.'Recognise'that'the'place'value'system'can'be'extended'to'tenths'and'
hundredths.'Make'connection'between'fractions'and'decimal'notation.''
• Year%5:'Compare'and'order'common'unit'fractions'and'locate'and'represent'them'on'a'
number'line,'investigate'strategies'to'solve'problems'involving'addition'and'
subtraction'of'fractions'with'the'same'denominator,'recognise'that'the'number'
system'can'be'extended'beyond'hundredths.'Compare,'order'and'represent'decimals'
• Year%6:'compare'fractions'with'related'denominators'and'locate'and'represent'them'
on'a'number'line,'solve'problems'involving'addition'and'subtractions'of'fractions'with'
the'same'or'related'denominators,'find'a'simple'fraction'of'a'quantity'where'the'
result'is'a'whole'number,'with'and'without'digital'technologies.''
''
Important!aspects!of!fractions'
Common'fraction'understanding'is'based'on'the'part/whole'concept'(partitioning),'the'
bigger'the'denominator'the'smaller'the'parts,'developing'the'idea'that'the'size'of'the'
unit/whole'determines'what'the'fractions'looks'like'is'essential,'multiple'representations'of'
fractions'are'required.'
'
