Representing Quantity Fractions
S3 Fractions
Aligned to the NSW Syllabus for The Australian curriculum (https://educationstandards.nsw.edu.au/wps/portal/nesa/home)
- outcomes and content listed below
- outcomes and content listed below
Teachers and Caregivers are advised to review sites, before use, to assess suitability and to monitor advertising.
Soccer Shootout - funbrain
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Skittles Maths - Australian Curriculum
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Fractions Explained - coolmath
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Fractions Bingo - mathplayground
Fraction Bars - mathplayground
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Snow Sprint Multiplying Fractions - mathplayground
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Tug Team Dirt Bikes - comparing fractions mathplayground
Fractions to Decimals - mathplayground
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Syllabus Outcomes
MAO-WM-01 Develops understanding and fluency in mathematics through exploring and connecting mathematical concepts, choosing and applying mathematical techniques to solve problems, and communicating their thinking and reasoning coherently and clearly
MA3-RQF-01 Compares and orders fractions with denominators of 2, 3, 4, 5, 6, 8 and 10
MA3-RQF-02 Determines 1/2, 1/4, 1/5 and 1/10 of measures and quantities
MA3-RQF-01 Compares and orders fractions with denominators of 2, 3, 4, 5, 6, 8 and 10
MA3-RQF-02 Determines 1/2, 1/4, 1/5 and 1/10 of measures and quantities
Content
Representing quantity fractions A
Recognise the role of the number 1 as representing the whole
Recognise that a fraction can represent a division
Recognise the role of the number 1 as representing the whole
- Compare halves and quarters of different sized wholes
- Justify the need for fractions to refer to the number 1 as the common whole (Reasons about quantity)
- Compare unit fractions as numbers to the benchmark value 12
- Compare and order unit fractions with denominators of 2, 3, 4, 5, 6, 8 and 10 by placing them on a number line
- Represent the sum of fractions with the same denominator, recreating the whole, where the result may exceed one
- Find the difference between fractions with the same denominator and interpret the answer
- Solve word problems that involve fractions with the same denominator
- Use diagrams, objects and mental strategies to subtract a unit fraction from any whole number including 1 (the complement principle)
Recognise that a fraction can represent a division
- Identify how the relationship between the number being divided and the divisor is represented in a fraction
- Order common fractions with related denominators using diagrams and number lines
- Subdivide the area of a rectangle by both length and width to represent the multiplicative relationship between common fractions
- Compare and represent fractions with denominators of 2, 4 and 8; 3 and 6; 5 and 10 of a whole shape (area model) and a collection of objects (discrete model)
- Create equivalent fractions for half in quarters, eighths, sixths and tenths by re-dividing the whole, using diagrams and number lines
- Record equivalent fractions using diagrams, words and fraction notation
- Generate the whole quantity from non-unit fractional parts such as quarters, eighths, thirds, sixths, fifths and tenths (Reversible reasoning)
- Solve word problems involving adding or subtracting fractional quantities with related denominators
- Represent fractional quantities with the same or related denominators to add and subtract fractions (Reasons about relations)
- Calculate quarters and fifths of whole numbers that are multiples of the denominator, using a tape diagram
- Solve word problems involving a fraction of a quantity
updated Feb 2023
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