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Equivalent linear algebraic expressions

This is a six-page HTML resource about solving problems concerning equivalence of linear algebraic expressions. It contains one video and four questions, three of which are interactive. The resource discusses and explains equivalence of linear algebraic expressions to reinforce students' understanding.

Video

Catalyst: Graham's number

If you were asked what the biggest number you can think of is, what would you say? Infinity? Well, what about the biggest finite number you can think of? Mathematician Ron Graham came across such a gigantic number in his research that, to capture its massive size, he and his colleagues needed to come up with new methods ...

Video

Count Us In, Ep 12: Will it Rain Today?

What is the chance for Flynn and Dodly that it will rain at the beach? Dodly takes his umbrella and gumboots just in case it rains, and his scarf and gloves in case it gets cold. Explore the language of chance with the two monsters. What is the chance Dodly will pick a blue lolly out of the bag of four lollies?

Video

Stateline: Mapping farmland: using area and trigonometry

In northern Queensland's Gulf region, some farmers use GPS mapping to help manage their extensive properties. Use this clip as a context for applying your understanding of area, in particular your understanding of conversion between square kilometres and hectares. Apply trigonometry and Pythagoras' theorem.

Video

MathXplosion, Ep 24: Volumes and surface areas

Take two differently shaped containers, for example, a tall, skinny cylinder and a short wide one. Which one will hold more beads? The result may surprise you! It's all about capacity. Two containers with the same surface area can have very different shapes and sizes, so they can have different volumes and hold different ...

Video

Catalyst: Applying trigonometry: leaning tower

The Leaning Tower of Gingin is the centrepiece of the Gravity Discovery Centre. The Catalyst team of Derek, Simon and Anja drop watermelons from the tower, to examine the rate at which they fall. They are testing Galileo's theory about falling objects. The dimensions of the tower provide an opportunity to apply some basic ...

Video

ABC News: Space debris: the accuracy of space lasers

In space there are thousands of human-made objects (satellites and space junk) orbiting Earth. To avoid collision with space debris, satellites are manoeuvred out of its path. Discover how space debris is tracked using lasers, and about accuracy's effects on the lifetime of the satellite. Find out, using trigonometry, the ...

Video

Count Us In, Ep 11: We can help you keep count!

Dodly is trying to keep count of the number of sheep in the backyard. Flynn helps Dodly to keep count by representing the numbers in different ways. They use models, drawings, strokes and numerals to keep count. Also discover the ways different cultures have recorded numbers.

Video

How does income tax work?

Gen Fricker makes income tax interesting! Learn about income tax - what it is, how it works and when you have to pay it. Easy-peasy! Then test yourself with ASIC Moneysmart's "Things to think about" classroom exercises.

Video

Mixed Up Maths, Ep 3: What's in a year?

You may know of the four seasons. In the southern parts of Australia the year is often divided up into spring, summer, autumn and winter. But what about other parts of Australia? Find out what seasons they have in northern Australia. See how the year is divided into months and shown as a calendar. You'll also see how many ...

Video

A mini chemistry set in a stick

Do you know how glowsticks work? Watch this clip and discover the chemical reaction that takes place when you snap a glowstick and release the reactants. Find out about chemiluminescence in nature, when scientists first created glowing sticks and the chemical equation that describes the reaction. Can you guess which glowstick ...

Video

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!

Video

Play School: Buttons and shapes

Have you ever looked at the buttons on your clothes? What shapes are they? You will find that most buttons are circles, but sometimes they can come in really different and interesting shapes, sizes and colours! What are some of the button shapes and colours mentioned in this video?

Video

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.  

Video

Using maths to understand the universe

When completed, the Square Kilometre Array (SKA) project will be the largest and most capable radio telescope available to scientists. Radio telescopes like the SKA detect radio waves produced by events and objects in the furthest reaches of space, translating these waves into data and imagery that allow scientists to study ...

Video

What are pixels?

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 ...

Video

My Five Cents: What is opportunity cost?

What is the true cost of buying something? Gen Fricker explains that it's more than just money. Learn about opportunity cost - what it is, why it's a helpful tool and when to use it. Simple! Then test yourself with ASIC MoneySmart's "Things to think about" classroom exercises.  

Video

Maths inside bees and beehives

Bees are necessary for assisting many plants to produce the food we eat, including meat and milk. Colony collapse disorder, which describes the disappearance of beehives, could have catastrophic effects on food production. Australian scientists are applying their maths and science knowledge to build up a picture of a healthy ...

Video

Months of the year

How many months are there in a year? What are they? In what month is your birthday? In Australia, depending on where you live, you can have either four seasons or two. Find out how many seasons there are where you live. What are they? In which months do these seasons occur in?

Video

Peg + Cat: Sort the recycling

Peg, Cat and her neighbour Lady Viv sort and recycle junk left behind in the field. Not only does this clip show how important recycling is it also can be used to discuss organising information and graphing.