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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MathXplosion, Ep 1: Magic 9s

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Follow these simple calculations to illustrate the special properties of the number 9. Pick your favourite number between 1 and 9 and multiply that number by 3. Add 3 to your answer. Multiply the result by 3. Treat your two-digit answer as two separate numbers and add them together. No matter what number you pick to start ...

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Interactive

Fish market: explore trading

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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 ...

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Video

MathXplosion, Ep 11: Fun facts about the number seven

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Did you know that the digits on opposite faces of dice will always add up to seven? Use dice as fun tools to reinforce fact families of seven, multiples of seven and subtraction skills.

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BTN: What is the GST?

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The Goods and Services Tax (GST) is a tax placed on things people buy with money or things people do for money. Can you name some goods and services that have GST? What about some goods and services that don't have GST? Find out when and why the GST was first introduced.

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Video

MathXplosion, Ep 17: Develop mathematical mind-reading skills

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Amaze your friends with your super mind-reading skills. Here’s a brain game you can play by asking a few questions and substituting letters for numbers! Learn to follow a specific sequence of arithmetical steps to always arrive at the same answer.

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Video

MathXplosion, Ep 40: Kaprekar's operation

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Did you know that 6,174 is a very mysterious number? In 1949, the mathematician Dr Kaprekar from India devised a process now known as Kaprekar's operation. First, choose a four-digit number where the digits are all different. Then rearrange the digits to get the largest and smallest numbers these digits can make. Finally, ...

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Online

Creating my own spreadsheet to convert binary to decimal

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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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Video

Working out the areas

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Do you know how to work out the area of a square, a rectangle or a triangle? Learn the simple maths formulas needed from this video. What would be the area of a rectangle with a height of 5cm and a length of 3cm?

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Video

Area of a square and a triangle

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Do you know the formula for working out the area of a square? How about a triangle? Watch this short maths video to learn the formulas for both.

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Video

MathXplosion, Ep 6: Zero the hero

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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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Video

What are pixels?

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Meet Kevin Systrom and Piper Hanson as they explain how digital images work. What are pixels, those tiny dots of light, made from? How are colours created and represented? What does Kevin say about the way mathematical functions are used to create different image filters. What is the difference between image resolution ...

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Online

TIMES Module 14: Number and Algebra: fractions - teacher guide

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This is a 16-page guide for teachers that provides an introduction to fractions. It covers ordering, the four basic arithmetic operations, cancelling, writing in simplest form, the use of the area model for multiplication and the use of the number line for ordering, adding and subtracting. A history of the development of ...

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Interactive

Laptop wrap: Horology hiccup

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A laptop-friendly resource focussed on the concept of time. Features guided technology-based activities.

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Interactive

The Numberline

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

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Online

TIMES Module 10: Number and Algebra: division of whole numbers - teacher guide

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This is a 26-page guide for teachers. This module contains a description of suitable models for division, a discussion of the types of problems that require division for their solution, and mental and written strategies for division.

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Online

TIMES Module 9: Number and Algebra: multiplication of whole numbers - teacher guide

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This is a 23-page guide for teachers. This module contains a description of suitable models for multiplication, a discussion of the types of problems that require multiplication for their solution, and mental and written strategies for multiplication. The use of the commutative, associative and distributive laws is described. ...

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Downloadable

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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Online

MoneySmart: How teachers can use MoneySmart

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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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Downloadable

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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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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