AC9M5N01 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.

interpret, compare and order numbers with more than 2 decimal places, including numbers greater than one, using place value understanding; represent these on a number line

Elaborations

• 1 making models of decimals including tenths, hundredths and thousandths by subdividing materials or grids, and explaining the multiplicative relationship between consecutive places; for example, thousandths are \(10\) times smaller than hundredths; writing numbers into a place value chart to compare and order them
• 2 renaming decimals to assist with mental computation; for example, when asked to solve \(0.6 ÷ 10\) they rename \(6\) tenths as \(60\) hundredths and say, “if I divide \(60\) hundredths by \(10\), I get \(6\) hundredths” and write \(0.6 ÷ 10 = 0.06\)
• 3 using a number line or number track to represent and locate decimals with varying numbers of decimal places and numbers greater than one and justifying the placement; for example, \(2.335\) is halfway between \(2.33\) and \(2.34\); that is, \(2.33 < 2.335 < 2.34\) and \(5.283\) is between \(5.28\) and \(5.29\), but closer to \(5.28\)
• 4 interpreting and comparing the digits in decimal measures; for example, the length or mass of animals or plants, such as a baby echidna weighing \(1.78\) kilograms and a platypus weighing \(1.708\) kilograms
• 5 interpreting plans or diagrams showing length measures as decimals, placing the numbers into a decimal place value chart to connect the digits to their value

Related Achievement Standards