Mathematics / Year 5 / Number

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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

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This lesson asks students to explore statistics about pet ownership in Australia and the cost of buying and maintaining a pet. During the activities, students are asked to gather and compare data about pets in Australia using trusted information sources such as the RSPCA. They go on to consider the costs and benefits of ...

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Inquiry Prompt Ribbon Bow - Calculate

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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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Money Year 5 & 6 - Calculate

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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

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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.

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

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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 ...

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Café Fractions - Calculate

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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 ...

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Event Planner - Calculate

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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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First steps in mathematics: Number – Book 1

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

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Work Unit: Mr Moon’s feathery problem - Calculate

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This unit of work provides a rich, contextual activity through which students can explore the applications of measurement (length, area and capacity), to a real problem in an everyday context for Students in Years 5 & 6.

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Operations: Foundation to Year 9

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This comprehensive resource describes the progression of ideas that cover addition and subtraction of integers; multiplication and division of integers; the four operations with common and decimal fractions; and operation applications with percent, rate and ratio.

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Multiplying two-digit numbers using the area model - Calculate

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This resources describes some games and activities that can be used to help students to learn strategies to solve multi-digit multiplication problems, including using the area model.

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Throw a Shape - Calculate

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In this game, students throw dice to determine the number of edges and vertices of a 3D shape, they then use physical materials to build their shapes. The game gives them an opportunity to practise geometric reasoning, identifying shapes based on their properties and visualising objects in three dimensions.

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Measurement: Foundation to Year 9

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This comprehensive resource describes the progression of measurement ideas. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in measurement including teaching and cultural implications.

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Even and Odd Orcharding - Calculate

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What makes even numbers special? What makes odd numbers… well… odd? Help these farmers plant their fruit trees in rows and patterns, and see what happens when we add, subtract and multiply different combinations of these numbers together! Use this low threshold, high ceiling task to explore the properties of even and odd numbers.

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The focus of this activity is for students demonstrate a systematic approach to trialing and recording possible solutions. Students are encouraged to explain the method they used, compare solutions and prove they have found all the possible solutions.

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Many heads are better than one: 9 colours activity - Calculate

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This collaborative task challenges students to assemble 27 small cubes as one large 3 by 3 by 3 cube, with 9 different colours visible on each face. The task develops spatial awareness, particularly when the task is extended beyond creating a large cube.

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Space Race Game (Introducing Algorithmic Thinking) - Calculate

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Space Race is a simple board game that teachers can use to introduce the concept of algorithmic sequencing to students. The teaching points provided with the game assist teachers to introduce the use of an algorithm (a simple set of mathematical instructions) to describe the trajectory of an object across a grid plane from ...

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ROWCO - Calculate

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ROWCO is a card game that will help students practice their addition facts while playing an engaging strategy game.

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Mastermind - Calculate

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This small group game challenges students to use logic and problem solving strategies to name multi-digit numbers.

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