F-10 Curriculum (V8)
F-10 Curriculum (V9)
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This planning resource for Year 9 is for the topic of Use variables. Students apply and extend their knowledge and skills of exponent laws to simplify or expand numeric and algebraic expressions and solve equations.
This planning resource for Year 10 is for the topic of Formulate and manipulate expressions. Students extend the distributive law to expanding the product of two binomials (ax + b)(cx + d) and the factorisation of non-monic quadratic expressions with integer coefficients. Students practise algebraic manipulation involving ...
Students engage in a photo rip up activity to emphasize the permanency of online information, they explore factor trees, doubling and line graphs through the lens of sharing information, and they collaboratively develop a set of protocols around sharing information online.
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.
Why can a regular sheet of paper be folded only about six times? By folding a sheet of paper in half, over and over, the number of layers and the thickness of the paper doesn’t just double, they increase exponentially. Find out how many times a sheet of paper can actually be folded!
This sequence of three lessons explores sums and differences of two squares. Students are introduced to the historical context of using lookup tables for multiplications and challenged to investigate and generalise the underlying process using algebraic means. In subsequent lessons students use visual and algebraic methods ...
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.
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?
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!
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.
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.
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.
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 is a 19-page guide for teachers. It introduces quadratic equations and methods for solving them.
This is a 26-page guide for teachers. It extends the study of indices to rational indices and introduces logarithms.
This is a 17-page guide for teachers. It continues the discussion of factorisation. In particular, the techniques for the factorisation of quadratic expressions are presented.
This is a 29-page guide for teachers. It introduces graphing of quadratic functions.
This is a website designed for both teachers and students that addresses indices from the Australian Curriculum for year 9 students. It contains material on indices and explains the index laws and their use with integer indices. There are pages for both teachers and students. The student pages contain interactive questions ...
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 ...