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Investigate index notation and represent whole numbers as products of powers of prime numbers (ACMNA149)
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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.
What are factors? Watch as the jelly babies in this clip show you! What are the factors of 12? How many factors does the number 11 have? Try explaining to a friend what a prime number is.
Imagine if anyone was able to read all our secret, encrypted messages and information. Watch and find out how scientists at the Australian National University are developing a new encryption system using quantum physics and quantum computing.
Have you heard of the term "exponential growth"? Growth can occur very quickly when powers are involved. See how you can use the power of two to rapidly increase the amount of anything from grain to coins!
Use this teaching resource to investigate prime numbers with your students. Go back in time to the ancient Greeks (around 300 BC) to find out how Euclid demonstrated that there is an infinite number of primes. Investigate ways to identify prime numbers using algebra and square numbers and how to represent large primes using ...
What units of measurements do we use to describe incredibly small things like blood cells and atoms? Watch as you are taken on a journey to explain the different units of measurement that we use to describe the very small.
A prime number is a number that only has two factors: one and itself. Listen to Adam Spencer and Richard Glover discussing prime numbers. They cover how we define these numbers and how and why prime numbers are widely used in internet encryption.
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?
This sequence of four lessons explores prime factorisation. Students solve a puzzle using factor strings, play a dice game to learn about prime numbers, develop a method for finding all of the factors of a number, and engage in an investigation of highest common factors and lowest common multiples of two numbers, and how ...
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 ...
This is a website designed for both teachers and students that deals with square roots of square numbers from the Australian Curriculum for year 7 students. It contains material on products of squares and square roots, prime factorisation and square roots of non-perfect squares. There are pages for both teachers and students. ...
This resource is a short video presentation, with audio commentary, in which the meaning of exponents or powers of a number is explained. In the numerical example used the presenter explains the difference between evaluating the power of a number and the product of two numbers.
These seven learning activities, which focus on the use of 'real data' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use the three content strands ...
This is a website designed for both teachers and students that refers to algebraic notation, the laws of arithmetic and the use of these laws in algebra from the Australian Curriculum for year 7 students. It contains material on algebraic notation, the commutative and associative laws, the use of brackets and the orders ...
This lesson explores Diophantus' hypothesis that all natural numbers can be expressed as the sum of no more than four square numbers. Students are invited to work in small groups to express natural numbers up to 120 as a sum of squares and share this on a whole-class grid. The resource develops students' fluency in identifying ...