Mathematics / Year 5 / Number

Curriculum content descriptions

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 (AC9M5N01)

  • 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
  • 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 \(0.6 ÷ 10 = 0.06\)
  • 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 \(5.28\)
  • 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
  • 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
General capabilities
  • Numeracy Numeracy
ScOT terms

Numerical order,  Decimals,  Place value,  Number lines


Decimaster: match-up 1

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 1 such as 0.7. Adjust units on an area representation and a common fraction. Match three decimals with each tool.


Wishball: hundredths

Test your understanding of decimal place value with numbers that include hundredths. Receive a starting number, such as 46.87, and work towards turning it into a target number, such as 85.32. Spin a random digit, choose its decimal place value and decide whether to add or subtract the random digit from your starting number. ...


Rainforest: make a walking track

Mark the route for a walking track on a map of a rainforest. Choose a section of track based on instructions about distances, compass directions and grid references. Keep adding sections of track to get to the rest house. As you go, look up the meaning of tricky words.


The foul food maker: go figure

This tutorial is suitable for use with a screen reader. It explains how the use of simple words can describe the likelihood of everyday events. How likely is an event: certain, likely, equal chance, unlikely or certainly not? Answer some questions using these words and then build your own examples. Learn how to describe ...


reSolve: Lamingtons

This sequence of three lessons explores the mathematical idea that fractions represent division. In the first lesson, students are invited to solve a problem involving fair sharing of different plates of lamingtons. Students explore how the denominator represents how many shares and the numerator represents the number being ...


Playground percentages

Help a town planner to design two site plans for a school. Assign regions on a 10x10 grid for different uses such as a playground, canteen, car park or lawn. Calculate the percentage of the total site used for each region. Use a number line to display fractions and equivalent fractions.


Fraction basics - Easy & Effective Fractions Tutor - iTunes app

Learn about the core concepts of fractions through 12 animated clips. View the clips on the topic that you want to learn about. These clips will help build a string foundation in fractions. Free when reviewed on 12/5/2015.