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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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Comparing data

This is a website designed for both teachers and students that addresses data comparison from the Australian Curriculum for year 9 students. It contains material on comparing data by developing questions, conducting data collection, displaying data and exploring and interpreting that data using a range of strategies. There ...

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Geometric reasoning including parallel lines and angle sum of a triangle

This is a website designed for both teachers and students that addresses geometry from the Australian Curriculum for year 9 students. It contains material on geometry and includes information regarding parallel lines and the angle sum of triangles. There are pages for both teachers and students. The student pages contain ...

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Square roots and square numbers

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. ...

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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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Random sampling

This is a teacher resource for random sampling consisting of a website and a PDF with identical content. All of the topics in probability and statistics in the Australian Curriculum: Mathematics require an understanding of random sampling. The content of the resource enables teachers to become familiar with random sampling ...

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Discrete probability distributions

This is a teacher resource for discrete probability distributions consisting of a website and a PDF with identical content. It contains a discussion of the core ideas of discrete probability distributions and gives examples of such distributions. The mean and variance of probability distributions are also introduced.

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Addition and subtraction of fractions

This is a website designed for both teachers and students that addresses addition and subtraction of fractions. There are pages for both teachers and students. The student pages contain interactive questions for students to check their progress in the topics.

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Geometric reasoning - congruence

This is a website designed for both teachers and students that introduces congruence of shapes in the plane through transformations. In particular, transformations, translations, reflections in an axis and rotations of multiples of 90 degrees are used to define congruence and to identify congruent shapes. The four congruence ...

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Numbers and counting - Foundation

This is a teacher resource that includes a set of student activities focusing on the numbers to 20, accompanied by copy masters and a detailed teacher guide for each activity. The activities cover the sequence of numbers, number names, 1:1 correspondence and recording and representing numbers, and make a connection to Asian ...

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Counting games - years 1 and 2

This is a teacher resource that includes a set of student activities including counting games, focusing on numbers to 100, accompanied by copy masters and a detailed teacher guide for each activity. The games include the Korean number counting game sam yew gew - referred to as 'sam-yuk-gu' in the Australian Curriculum. ...

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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 ...

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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 ...

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Enlargement transformations

This is a website designed for teachers and students in year 5, and addresses components of the enlargement transformations topic in geometry. It is particularly relevant for the concept of enlarging two-dimensional shapes and also contains material on enlarging drawings using grid paper. There are pages for both teachers ...

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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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Sampling from a population

This is a website designed for both teachers and students that refers to sampling from a population and taking a census from the Australian Curriculum for year 8 students. It contains material on cross-sections of sampling and how the means and proportions of samples vary. There are pages for both teachers and students. ...

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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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Indices

This is a website designed for both teachers and students that addresses indices from the Australian Curriculum for year 8 students. It contains material on using index notation. There are pages for both teachers and students. The student pages contain interactive questions for students to check their progress in the topics.

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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.