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TIMES Module 2: Statistics and Probability: data investigation and interpretation, year 7 - teacher guide

This is a 13-page guide for teachers. In this module, in the context of statistical data investigations, we build on the content of year 5 on measurement data and count data with many different observed values of counts. Because these data types are quantitative, investigation and interpretation include considerations of ...

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TIMES Module 5: Statistics and Probability: data investigation and interpretation, year 8 - teacher guide

This is a 32-page guide for teachers. This module includes some introductory notions of sampling to obtain random representative data.

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TIMES Module 11: Statistics and Probability: chance, year 6 - teacher guide

This is a 17-page guide for teachers. It continues the development of probability. A careful consideration of outcomes and equally likely outcomes is undertaken. Experiments involving known probabilities are considered and what is observed is compared with what is expected. This is carried out with both small and large ...

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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.

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Fractions

This is a website designed for both teachers and students that addresses components of the arithmetic of fractions. It is particularly relevant for comparison and addition and subtraction of fractions with related denominators. It also contains material on finding a fraction of a quantity where the result is a whole number. ...

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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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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, ...

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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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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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Syllabus bites – flipping and sliding

This is the third in a series of Syllabus bites related to transformations on the Cartesian plane. Students further their understanding of translation and reflection and explore relationships between these two transformations.

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Connecting fractions, decimals and percentages

This is a website designed for both teachers and students that addresses the connections between fractions, decimals and percentages from the Australian Curriculum for year 6 students. It contains material on the relationship between fractions, decimals and percentages and helps students understand that although there are ...

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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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Algebraic expressions

This is a website designed for both teachers and students that addresses algebraic expressions from the Australian Curriculum for year 8 students. It contains material on using simple positive and negative fractions, substitution, collecting like terms, taking products, and expanding brackets using the distributive law ...

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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 ...

Interactive

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.