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Fractions: tenths, equivalence and applying operations
This guide provides a sequence of small steps for deepening understanding of fractions, from using models to partition a whole into fractional parts through to finding the fraction of an amount, and adding and subtracting fractions.
|Year level(s)||Year 3, Year 4, Year 5|
|Purpose||Teaching resource, Teaching strategies|
|Teaching strategies and pedagogical approaches||Questioning, Concrete Representational Abstract model, Explicit teaching|
|Keywords||equivalent fractions, comparing, ordering, adding fractions, subtracting fractions, bar model, explicit teaching|
|Strand and focus||Number, Build understanding|
|Topics||Fractions, Addition and subtraction|
|AC: Mathematics (V9.0) content descriptions||
Recognise and represent unit fractions including 12, 13, 14, 15 and 110 and their multiples in different ways; combine fractions with the same denominator to complete the whole
Count by fractions including mixed numerals; locate and represent these fractions as numbers on number lines
Recognise and extend the application of place value to tenths and hundredths and use the conventions of decimal notation to name and represent decimals
Compare and order fractions with the same and related denominators including mixed numerals, applying knowledge of factors and multiples; represent these fractions on a number line
Solve problems involving addition and subtraction of fractions with the same or related denominators, using different strategies
Interpreting fractions (P5, P6, P8)
Counting processes (P8)
Number and place value (P7)
Additive strategies (P9)
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