AC9M5N03 Year 5 Mathematics

This Content Descriptor from Year 5 Mathematics provides the specific knowledge and skills students should learn. Use it to plan lessons, create learning sequences, and design assessments that align with the Australian Curriculum v9.

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

Elaborations

• 1 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
• 2 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
• 3 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
• 4 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 \(\frac2{10}\)
• 5 converting between mixed numerals and improper fractions to assist with locating them on a number line

Related Achievement Standards