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**Related topic**

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 (AC9M5N03)

- using pattern blocks to represent equivalent fractions; selecting one block or a combination of blocks to represent one whole, and making a design with shapes; recording the fractions to justify the total
- creating a fraction wall from paper tape to model and compare a range of different fractions with related denominators; using the model to play fraction wall games
- connecting a fraction wall model and a number line model of fractions to say how they are the same and how they are different; for example, explaining \(\frac14\) on a fraction wall represents the area of one-quarter of the whole while on the number line \(\frac14\) is identified as a point that is one-quarter of the distance between zero and one
- using an understanding of factors and multiples as well as equivalence to recognise efficient methods for the location of fractions with related denominators on parallel number lines; for example, explaining on parallel number lines that \(\frac2{10}\) is located at the same position on a parallel number line as \(\frac15\) because \(\frac15\) is equivalent to \(\frac2{10}\)
- converting between mixed numerals and improper fractions to assist with locating them on a number line

Related denominators, Number lines, Mixed numbers, Factors