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Indices

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 ...

Online

Scientific notation

This is a website designed for both teachers and students that addresses scientific notation from the Australian Curriculum for year 9 students. It contains material on scientific notation using index laws and multiplication, division and indices. There are pages for both teachers and students. The student pages contain ...

Online

Simple interest

This is a website designed for both teachers and students that addresses simple interest from the Australian Curriculum for year 9 students. It contains material on calculating simple interest. There are pages for both teachers and students. The student pages contain interactive questions for students to check their progress ...

Online

Coordinate geometry

This is a website designed for both teachers and students that addresses coordinate geometry from the Australian Curriculum for year 9 students. It contains material that shows the connection between algebra and geometry through graphs of lines and curves. There are pages for both teachers and students. The student pages ...

Online

Functions I

This is a teacher resource for functions consisting of a website and a PDF with identical content. It contains a review of interval and set notation, an introduction to function notation and domains and ranges, and a discussion of finding the implicit or maximal domain of a function. The Links forward section considers ...

Online

Motion in a straight line

This is a teacher resource for motion in a straight line consisting of a website and a PDF with identical content. It contains discussion of the concepts of position, displacement, velocity, acceleration and speed. It shows how these concepts may be used to motivate the study of calculus and at the same time demonstrate ...

Online

Binomial distribution

This is a teacher resource for the binomial distribution consisting of a website and a PDF with identical content. It contains discussion of Bernoulli trials and the mean and variance of the binomial distribution. It provides examples of where the binomial distribution is applicable.

Online

Inference for proportions

This is a teacher resource for inference of proportions consisting of a website and a PDF with identical content. It contains discussion of how probability is used in statistical inference, the sample proportion as an estimator, the sample proportion as a random variable, population parameters and sample estimates, and ...

Online

Always, sometimes, never

This is a web resource that includes four student activities focusing on chance and the language associated with chance events, accompanied by activity sheets and a detailed teacher guide for each activity. The activities cover words associated with chance and likelihood, fairness, luck and superstitions, and ordering chance ...

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Countries of birth

This is a web resource that includes four student activities about data interpretation, accompanied by a teacher guide for each activity. Activities include investigating changes in country of birth by collecting and displaying data from students, their parents and grandparents and comparing the 1901 and 2006 Australian ...

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Introducing the Cartesian coordinate system

This is a website designed for both teachers and students that refers to the Cartesian coordinate system from the Australian Curriculum for year 6 students. It contains material on the Cartesian plane and includes plotting points and determining coordinates of points shown on a grid. There are pages for both teachers and ...

Online

Sequences and series

This is a teacher resource for sequences and series consisting of a website and a PDF with identical content. It contains arithmetic and geometric sequences and arithmetic and geometric series. The limiting sum of the infinite geometric series is introduced and applications of sequences and series discussed. A brief history ...

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Growth and decay

This is a teacher resource for applications of logarithmic and exponential functions consisting of a website and a PDF with identical content. It contains examples of applications of exponential and logarithmic functions such as radioactive half-life and population growth.

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The calculus of trigonometric functions

This is a teacher resource for the differentiation and integration of trigonometric functions consisting of a website and a PDF with identical content. It contains explanations and examples of applications such as the solution of maximisation problems and simple harmonic motion.

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Percentage discounts

This is a website designed for both teachers and students that refers to making connections between percentages, decimals and fractions, as well as calculating percentages and percentage discounts from the Australian Curriculum for year 6 students. It contains material on calculating percentages of an amount and calculating ...

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Applications of differentiation

This is a teacher resource for applications of differentiation consisting of a website and a PDF with identical content. It contains a discussion of graph sketching, related rates of change and the solution of maxima and minima questions.

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Introduction to differential calculus

This is a teacher resource for an introduction to differential calculus, consisting of a website and a PDF with identical content. It contains an introduction to differentiation. It contains a discussion of the properties of the derivative of a given function and introduces and proves the chain rule, product rule and quotient ...

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Functions II

This is a teacher resource for functions consisting of a website and a PDF with identical content. It builds on the content of the module Functions I. It contains a discussion of the arithmetic of functions, odd and even functions, composites, inverses and transformations. The Links forward section considers a section on ...

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Exponential and normal distributions

This is a teacher resource for the exponential and normal distributions consisting of a website and a PDF with identical content. It contains an introduction to the normal and exponential distributions. It illustrates where these distributions can be applied.

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Continuous probability distributions

This is a teacher resource for continuous probability distributions consisting of a website and a PDF with identical content. It contains an introduction to continuous probability distributions. It illustrates where these distributions can be applied. It discusses probability density functions, cumulative distribution functions, ...