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TIMES Module 34: Number and Algebra: quadratic equations - teacher guide

This is a 19-page guide for teachers. It introduces quadratic equations and methods for solving them.

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Mixing Paints

This resource is a web page containing an investigative task to explore ratios. The context of mixing paints to particular ratios of colours provides a useful task to model practical situations involving ratios. A 'Getting started' and 'Solutions' page is also available to support the task. This resource is an activity ...

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Whole numbers with all four operations

This is a website designed for both teachers and students that addresses whole numbers with the four operations from the Australian Curriculum for year 6 students. It contains material on the strategies and algorithms used when adding, subtracting, multiplying and dividing whole numbers. There are pages for both teachers ...

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Syllabus Bites: Revisiting proportion

This is the first in a series of Syllabus Bites related to direct and indirect proportion. Students revise the concept of ratio. They create short visual explanations showing how problems can be solved.

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Introduction to algebra

This is a website designed for both teachers and students that addresses the introduction of algebra. It is particularly relevant for introducing the idea of the use of a variable as a way of representing numbers. There are pages for both teachers and students. The student pages contain interactive questions for students ...

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Acid Base Reactions

Students use this resource consisting of eleven slides with diagrams, written explanation and voice-over to understand that different bases react with acids and how word and chemical equations summarise the reactions. There is a two-question quiz and a summary slide.

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Syllabus Bites: Proportionality problems

This is the fourth in a series of Syllabus Bites related to direct and indirect proportion. Students use graphs, equations and numerical methods to solve problems involving direct proportion.

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Are plants mathematicians?

Ever noticed that plants are examples of Fibonacci numbers? Watch Vi Hart draw examples of flower petals and leaf growth that follow this pattern. See how plants seem to use Phi (.), the golden ratio. Find out how to make your own 'angle-a-tron' to create interesting petal designs. This is the second in a series of two.

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Syllabus Bites: Direct proportion

This is the second in a series of Syllabus Bites related to direct and indirect proportion. Interactive applets and dynamic geometry software allow students to explore quantities in direct proportion. Students draw conclusions about relationships between the variables and consolidate their understanding by playing a simple game.

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Sites2See: Patterns and Algebra

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

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Laptop wrap: Parallelendicular

Students construct a series of GeoGebra applets that investigate the parameters gradient and intercepts of straight lines. They reinforce this knowledge with Microsoft Math 3.0. 

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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.

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Algebra four

This is an interactive game for two students in which they solve algebraic equations, similar to 'Connect four'. The players can choose from problems that are one- or two-step, quadratic, have distributive properties or have variables on both sides, and more than one problem type can be chosen. The length of time each player ...

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Mental computation

This is a website designed for both teachers and students that discusses methods of mental computation. In particular, applying the associative, commutative and distributive laws to aid mental and written computation is discussed. These are important ideas for the introduction of algebra. There are pages for both teachers ...

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TIMES Module 33: Number and Algebra: factorisation - teacher guide

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.

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TIMES Module 35: Number and Algebra: the quadratic function - teacher guide

This is a 29-page guide for teachers. It introduces graphing of quadratic functions.

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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 ...

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The laws of arithmetic and their use in algebra

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 ...

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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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Syllabus Bites: Graphing direct proportion

This is the third in a series of Syllabus Bites related to direct and indirect proportion. Students draw graphs to represent relationships between variables in direct proportion. They associate the gradient of the graph with the constant of proportionality. They investigate practical contexts that give rise to direct proportion.