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Listed under:  Mathematics  >  Algebra  >  Mathematical expressions
Online

reSolve: Paint with Numbers

This sequence of three lessons explores ratios through the context of mixing paint. Students investigate how ratios express a multiplicative relationship between two measures and under what conditions the proportions remain constant when the numerical values of both quantities change. The lessons are outlined in detail ...

Online

reSolve: Authentic Problems: What's For Lunch?

This sequence of four lessons invites students to investigate how many of a chosen food item are eaten at their school in a year. Students identify the mathematical knowledge they need to find how many of the selected items they eat in a year and devise a plan to find the total number, using grouping, partitioning and repeated ...

Online

reSolve: Authentic Problems: Bunches of Balloons

This sequence of three lessons introduces division and multiplication through the context of decorating a room with clusters of balloons. Students carry out an inquiry using a variety of processes associated with multiplication and division such as grouping concrete objects, arrays, repeated addition and skip counting. ...

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ABC News: Mapping a sea voyage: calculating distance

Scientists involved in the Two Bays Project describe data collection methods for their 20-day expedition around Port Phillip and Western Port bays. Watch this clip to view the route mapped out by the scientists. Use Google Maps to recreate the route and calculate the total distance travelled.

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Imperial pie

This activity involves making a cake using a recipe in which the quantities of the ingredients required are measured using a variety of imperial units. To complete the recipe, students need to convert the imperial units to metric units in order to be able to use their metric measuring instruments. The activity serves to ...

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My Five Cents: Why borrowing can cost you more

Think credit cards are basically free money? Gen Fricker will make you think again. Learn how interest rates and fees affect the money you borrow, and why they may be more expensive in the long run. Oh dear! Then test yourself with ASIC MoneySmart's "Things to think about" classroom exercises.  

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Numbers Count: Adding two numbers

How many different ways can you think of to add two numbers to reach ten? Watch this video to learn them all!

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Spiral away with Fibonacci

Do you know the Fibonacci sequence? Learn how to draw a cool spiral as Vi Hart shows you an easy way. See how a spiral is an example of Fibonacci numbers. Vi shows examples of spirals from nature. You might be surprised at some of her examples! This is the first in a series.

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Big data, better hospitals

Overcrowding in hospitals is one of the biggest challenges facing our healthcare system . In order to reduce hospital waiting times, the Patient Admission Prediction Tool (PAPT) uses historical data to predict how many patients, and with what kinds of injuries, are expected to arrive at the emergency department each day ...

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Patterns, primes and Pascal's Triangle

Are you intrigued by patterns? Check out Vi Hart as she explains how to visualise patterns in prime numbers, using Ulam's Spiral. Watch as Vi creates patterns, using Pascal's Triangle to explore relationships in number. See what happens when she circles the odd numbers. What rule does she use to create the final pattern?

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Count Us In, Ep 8: How many are left?

Flynn and Dodly are practising their magic tricks. They are trying to make eggs, muffins and even guinea pigs disappear. Help our two friendly monsters work out how many should be left after their disappearing tricks.

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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.

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Comparing fuel consumption

Is it more fuel efficient to drive or fly between two places? Watch this clip and learn how to calculate the answer. What are the various factors that need to be taken into account? This video was made using the American measurement of gallons per hour, American firgures for the average number of passengers in a car and ...

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Catalyst: Take the Phi Golden challenge

The golden ratio, Phi: fact or fallacy? What about the Fibonacci sequence? We are told this ratio and its cousin Fibonacci occur everywhere in nature. Let's see which of these claims stacks up when put to the test.

Interactive

Renovate, Calculate!

A student resource that explores the use of mathematics in the trades. Highly interactive investigations into ratio, areas of special quadrilaterals and right-angled trigonometry.

Interactive

MoneySmart: MilbaDjunga - how can I start my own business?

The MilbaDjunga secondary unit 'How can I start my own business?' is an interactive online unit developed to support teachers of Aboriginal and Torres Strait Islander students to teach consumer and financial literacy. It leads students through a step-by-step process to start a small business and is accompanied by teacher ...

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Sites2See – applied mathematics

This collection of resources for Applied Mathematics has helpful links for the six Focus Studies - Communication, Driving, Design, Household Finance, Human Body and Personal Resource Usage. A laptop-friendly resource.

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Arithmetic four

This is an interactive game for two students in which they solve arithmetic problems, similar to 'Connect four'. The players can choose to work with whole number and integer addition, subtraction, multiplication and division. The length of time each player will have and the level of difficulty of the problems can also be ...

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TIMES Module 20: Number and Algebra: percentages - teacher guide

This is a 15-page guide for teachers. This module introduces percentages and their many uses in science, commerce and measurement.