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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, ...

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Equivalent fractions and the use of the number line

This is a website designed for both teachers and students that addresses equivalent fractions from the Australian Curriculum for year 7 students. It contains material on equivalent fractions, and explains how equivalence can be demonstrated on the number line. There are pages for both teachers and students. The student ...

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Multiplication and division of fractions

This is a website designed for both teachers and students that addresses multiplication and division of fractions from the Australian Curriculum for year 7 students. It contains material on multiplication and division of fractions and explains how to deal with whole numbers and mixed numbers when multiplying and dividing ...

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Multiplication and division of decimals

This is a website designed for both teachers and students that addresses multiplication and division of decimals from the Australian Curriculum for year 7 students. It contains material on multiplication and division of decimals and helps students to understand multiplication and division as inverses of each other. There ...

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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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Probability

This is a website designed for both teachers and students that addresses probability from the Australian Curriculum for year 7 students. It contains material on the language of probability, experiments and counting, and the probability of an event, and explains the mathematical use of the terms 'random' and 'randomly'. ...

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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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Show me your money - years 1 and 2

This is a teacher resource consisting of a set of student activities designed to encourage learning about the appearance and value of money, accompanied by copy masters and a detailed teacher guide for each activity. The activities make use of Australian coins and notes, and also Japanese and Singaporean coins, and include ...

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Data representation and interpretation - years 9 and 10

This is a teacher resource describing a set of student activities based on temperature and rainfall data and climate graphs for a number of cities in the Asia region, including Australian cities. The activities focus on constructing graphs from climate data and interpreting climate graphs. The resource encourages students ...

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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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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 ...

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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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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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Investigating terminating and recurring decimals

This is a website designed for both teachers and students that refers to terminating and recurring decimals from the Australian Curriculum for year 8 students. It contains material on which decimals are terminating and which are recurring, and gives methods for determining both from corresponding fractions. There are pages ...

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Investigating irrational numbers including pi

This is a website designed for both teachers and students that refers to irrational numbers including pi from the Australian Curriculum for year 8 students. It contains material on the real number system and explains how irrational numbers were introduced historically to this system. Information on constructing rational ...

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Circles

This is a website designed for both teachers and students that refers to the properties of circles including the circumference and area from the Australian Curriculum for year 8 students. It contains material on finding circumferences and areas of circles, and the areas and perimeters of shapes formed from circles and other ...

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Volumes of prisms

This is a website designed for both teachers and students that refers to volumes of prisms and using formulas to find the volumes of prisms. It contains material on rectangular and triangular prisms and finding the volumes of these by using formulas. There are pages for both teachers and students. The student pages contain ...

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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 ...