Representing Quantity Fractions B

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Representing quantity fractions B | NSW Curriculum Website

MA3-RQF-01 compares and orders fractions with denominators of 2, 3, 4, 5, 6, 8 and 10
MA3-RQF-02 determines $\frac{1}{2}$, $\frac{1}{4}$, $\frac{1}{5}$  and $\frac{1}{10}$ of measures and quantities

Prior Knowledge

• Representing Quantity Fractions A

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

Compare common fractions with related denominators

• 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

Build up to the whole from a given fractional part

• Generate the whole quantity from non-unit fractional parts such as quarters, eighths, thirds, sixths, fifths and tenths (Reversible reasoning)

Use equivalence to add and subtract fractional quantities

• 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)

Find fractional quantities of whole numbers (halves, quarters, fifths and tenths)

• 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
• Find $\frac{1}{2}$, $\frac{1}{4}$, $\frac{1}{5}$ and $\frac{1}{10}$ of collections, expressing remainders as decimals