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This sequence of three lessons explores the mathematical idea that fractions represent division. In the first lesson, students are invited to solve a problem involving fair sharing of different plates of lamingtons. Students explore how the denominator represents how many shares and the numerator represents the number being shared. In subsequent lessons, students use unit fractions to compare quantities and further extend the sharing of different numbers of lamingtons across different-sized groups. Each lesson is outlined in detail including curriculum links, vocabulary, materials needed, sample answers, discussion points and student resources. This sequence is part of the reSolve: Mathematics by Inquiry program.
|Year level(s)||Year 5|
|Teaching strategies and pedagogical approaches||Mathematics investigation|
|Keywords||proportional reasoning, unit fractions, denominators, fractions|
|Strand and focus||Number, Build understanding, Apply understanding|
|AC: Mathematics content descriptions||
ACMNA102 Compare and order common unit fractions and locate and represent them on a number line
ACMNA103 Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator
|National numeracy learning progression||
InF5, InF6, InF7
reSolve Maths by Inquiry
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