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

Fish market: explore trading

Buy and sell fish in trading markets in a range of Australian and New Zealand cities. Compare market prices, supply and demand. Explore a range of traders to find the best deals and open up new markets. Find a rare fish. Maximise your profit and reputation as a smart trader. This learning object is the first in a series ...

Interactive

MoneySmart: Fun Day Out

This learning object helps students to create a simple financial plan. Students create a plan for a class excursion within a budget of $25.00 per head. Students choose between three excursions and then select items of different values including mode of travel, food and activities to keep within their budget. The learning ...

Interactive

MoneySmart: Party time

This learning object helps students to create a simple financial plan. Students create a plan for a party within an allocated budget. Students can choose between items of different values including food, drinks, decorations, entertainment and prizes. The learning object comes with teacher and parent notes.

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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Money Year 5 & 6 - Calculate

The focus of this activity to challenge students to apply their knowledge of the four operations to solve a problem involving money. Students also need to demonstrate their ability to explain using evidence which option is the best.

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Reasoning Year 5 - Calculate

The focus of this activity is for students to recognise the relationship between the dimensions of a square or rectangle and the perimeter and area of these shapes. Students will need to use a systematic approach to show that they have found all the possible solutions.

Online

Beeswax wrap project

This project creates opportunities for students to design, create, market and sell a plastic wrap alternative, and to work with a local business or community group that supplies some materials. This lesson was devised by Trudy Ward, Clarendon Vale Primary School, Tasmania.

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Event Planner - Calculate

This investigative project gives students the experience of being a professional ‘event planner’, by organising a special event such as a wedding reception, farewell or special birthday party. Students are asked to prepare a comprehensive plan that outlines a floor and seating plan, a fully costed menu, a monetary quote ...

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'Mission to Mars' - An AMSI Schools 'Rich Task' in Number & Place Value - Calculate

This task aims provide a rich, contextual activity through which students can gain an understanding of the distances relevant to the size of our solar system, and how an understanding of place value, metric measurement systems and time measurement can be used to represent these large distances and convert calculations ...

Online

Creating my own spreadsheet to convert binary to decimal

A spreadsheet can be used to do calculations quickly using formulas. How can we make a spreadsheet that converts a binary number to a decimal number? This lesson provides some guidance and Excel files for student and teacher use.

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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.

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Café Fractions - Calculate

In this task, students take the role of the owner of a cake wholesaler, baking and supplying cakes to local café businesses. As café owners order their weekly cakes by the slice, students are required to add unit fractions together to calculate total cake orders. They then solve problems associated with subtracting fractional ...

Interactive

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.

Interactive

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 ...

Interactive

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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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 ...

Interactive

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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Find unknown values: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Find unknown values. Students explore mathematical equations involving multiplication and division.

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Lengths and areas

This is a website designed for teachers and students in year 5, and addresses components of the length and area topic. It is particularly relevant for selecting appropriate metric units of measurement for length, perimeter and area, and calculation of the area of rectangles. There are pages for both teachers and students. ...

Interactive

The Numberline

An interactive tool that can help students explore a number line, including points representing integers, fractions and decimals