Mathematics / Year 5 / Number

Curriculum content descriptions

use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts; formulate the problems, choosing operations and efficient calculation strategies, using digital tools where appropriate; interpret and communicate solutions in terms of the situation (AC9M5N09)

Elaborations
  • modelling an everyday situation and determining which operations can be used to solve it using materials, diagrams, arrays and/or bar models to represent the problem; formulating the situation as a number sentence and justifying their choice of operation in relation to the situation
  • modelling a series of contextual problems, deciding whether an exact answer or an approximate calculation is appropriate; explaining their reasoning in relation to the context and the numbers involved
  • modelling financial situations such as creating financial plans; for example, creating a budget for a class fundraising event, using a spreadsheet to tabulate data and perform calculations
  • investigating how mathematical models involving combinations of operations can be used to represent songs, stories and/or dances of First Nations Australians
General capabilities
  • Numeracy Numeracy
  • Critical and creative thinking Critical and Creative Thinking
ScOT terms

Finance,  Positive integers,  Modelling (Mathematical),  Problem solving

Interactive

MoneySmart: helping out

This is an activity about making choices to raise money for imaginary animals called gumbutangs. Their habitat is being eradicated and something must be done to save them. The user's first choice is between two websites, one a trusted one, the other a scam site. Then they are given choices about how to raise money for the ...

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Inquiry Prompt Ribbon Bow - Calculate

This open-ended task challenges students to carry out a mathematical investigation using a ribbon-bow as a stimulus. They are encouraged to develop their own research questions and investigate possible solutions using using mathematical problem solving and modelling strategies.

Interactive

Sites2See – number for primary

Selected links to a range of interactive online resources for the study of number in Foundation to Year 6 Mathematics.

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For the Juniors: Drawing a floor plan

How do we know what a house will look like before it is built? Discover how house plans work by looking at the design of a house that Hugo's family is going to build. See how a floor plan shows the room layout. See drawings of what the house will look like from different views.

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Cassowary ecology quiz

Explore facts about the life of cassowaries: physical characteristics; diet; habitat; life cycles; and locations. Interact with graphs to see how much people can help cassowaries. Work through ecology notes and resources. Answer questions as you go; express your answers as fractions. This learning object is one in a series ...

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Primary mathematics: games, simulations and modelling

These seven learning activities, which focus on 'games, simulations and modelling' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use games, ...

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The difference bar: go figure

This tutorial is suitable for use with a screen reader. It explains how to split up numbers in your head when finding the difference between two numbers such as 26 and 73. Work through sample questions and instructions explaining how to use linear partitioning techniques. Find the difference between pairs of numbers. Split ...

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The multiplier: go figure

This tutorial is suitable for use with a screen reader. It explains strategies for solving complex multiplications in your head such as 22x38. Work through sample questions and instructions explaining how to use partitioning techniques. Solve multiplications by breaking them up into parts that are easy to work with, use ...

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MathXplosion, Ep 6: Zero the hero

What is the role of zero as a placeholder for large numbers such as 1 million, 1 billion and 1 trillion? Find out about the notion of place value and powers of ten through the act of bead counting.

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Royal Australian Mint: learning

This website provides a range of resources and activities and activities for students and teachers about the history of Australian currency, the minting process and Australia's decimal currency. Of note is an interactive slideshow with high resolution images of currencies from Indigenous barter systems to modern Australian ...

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Australian coin history

This interactive slideshow from the Royal Australian Mint provides a series of high resolution images and brief descriptions of currencies from Indigenous barter systems to modern Australian currency. A downloadable fact sheet on Australian coin history is accessible from selected pages within the slideshow.

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Decimal currency

This interactive slideshow from the Royal Australian Mint provides a series of high resolution images and brief descriptions of the transition from pre-decimal to decimal currency in Australia.

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Waste and materials – sustainability action process (Years 3–6)

This resource guides students through an extended school-based or local investigation focussed on waste and materials using the five-step sustainability action process. The resource supports the investigation of a real-world issue or problem. Students develop and implement a chosen sustainability action and then evaluate ...

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MoneySmart: How teachers can use MoneySmart

This MoneySmart web page is designed to enable teachers to get the most out of ASIC's MoneySmart Teaching program and resources. It guides teachers on where to find information on being a MoneySmart teacher, professional development for teachers, primary and secondary teaching resources, and tips and tools to help with ...

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Paying It Forward

This resource is a cross-curricular suite of units for Years F-6. The units develop understanding of tax and superannuation while focusing on understanding civic values and the financial wellbeing of students. There are three units, one each for F-2, 3-4 and 5-6 classrooms. They include downloadable materials, links to ...

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Teaching kids about money

This web page is about how to talk to your child about money, encourage them to save, make a budget and much more. This page is designed to help you have conversations with children about how money is earned, needs versus wants, how money is spent, earning pocket money and making decisions about how many is spent or saved.

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Teaching consumer and financial literacy

This web page offers teachers a variety of resources to help them plan for embedding financial literacy topics across the curriculum. The page covers how to gauge students' financial literacy, how to plan to include financial literacy in meaningful ways and many other resources and support.

Downloadable

First steps in mathematics: Number – Book 1

The content of this book is organised into topics including understanding whole and decimal numbers, and understanding fractional numbers.

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Sites2See – measurement for primary

Selected links to a range of interactive and print resources for Measurement topics in K-6 Mathematics.

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My American farm: app for iPad

This iPad app contains a selection of games with an agricultural theme. At the conclusion of the activities, fun farm facts or information are provided (some of these facts can be read aloud by selecting a volume icon). The games encompass a range of things important to farming life including farming equipment, careers ...