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 ...

Video

MathXplosion, Ep 32: A mean trick

Learn a cool trick using the concept of the mean (or average). Pick any 3 x 3 block of dates on a monthly calendar. The number in the middle square is the mean of the nine numbers that form the 3 x 3 square. If you add all the numbers and divide the total by nine (the number of squares), the answer is the number in the ...

Video

MathXplosion, Ep 1: Magic 9s

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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Mixed Up Maths, Ep 12: Super Cyril's circus supplies

Do you know how to draw up a budget? Find out how it's done. In our example our host is throwing a circus party and has $100 to spend. See how he plans to spend the money. Throw in a few discounts of 10% and 50% and look what he can afford. Does he mange to stick to his budget?

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BTN: What is the GST?

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.

Online

MoneySmart: Hey! Let's have a big day out!

This is a year 5 mathematics unit of work about costing and budgeting for various types of family outings. The unit is intended to take about 7.5 hours of teaching and learning time, and is recommended for near the end of the school year. It consists of an introduction, five sets of student activities, and teacher notes ...

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Mixed Up Maths, Ep 6: Maths saves lives

Can maths really help to save lives? In this clip we see some real life applications of mathematics. Some are about helping to save lives others are about how maths can be useful. What do Florence Nightingale and WHO, the World Health Organisation have in common?

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MathXplosion, Ep 11: Fun facts about the number seven

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.

Online

reSolve: Area and Perimeter

This series of three lessons explores the relationship between area and perimeter using the context of bumper cars at an amusement park. Students design a rectangular floor plan with the largest possible area with a given perimeter. They then explore the perimeter of a bumper car ride that has a set floor area and investigate ...

Online

Home energy use

Reducing carbon dioxide emissions and sustainable energy use and are two of the major issues facing the world today. This project explores energy use in homes, and compares individual energy use with the class average and calculate and graph CO2 emissions.

Online

Welcome to Victoria

In this learning sequence, students undertake research in order to create tour packs for families visiting Victoria. Students use public transport and tourism websites to develop itineraries outlining ways in which families can visit at least two places of interest using public transport. The packs include: information ...

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MathXplosion, Ep 17: Develop mathematical mind-reading skills

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.

Video

Mixed Up Maths, Ep 1: Monumental measurement mess ups

Did you know that in Australia we use a metric system for measurement? See if you know the units of measurement for length, mass and volume. Find out what system the United States uses. You guessed it - they don't use the metric system! See how a mix up of these units can cause all kinds of mess ups.

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.

Online

Design and Make a Financial Plan for a Market Garden

This is a teacher guide providing suggestions for Maths activities based on designing a sustainable market garden and developing a budget for creating and maintaining the market garden as a profitable enterprise. It highlights the need for researching factors such as crop growing conditions and sales potential, and provides ...

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

Sites2See – number for primary

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

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.

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 ...

Online

Introduction to binary

This sequence of lessons focuses on what a binary number is, what a decimal number is, why binary numbers are important in digital systems and how to read and understand a binary number.