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In Grade 12 we use a two-dimensional Cartesian co-ordinate system to derive and apply:
• the equation of a circle (any centre); and
• the equation of a tangent to a circle at a given point on the circle.
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In Grade 12 Trigonometry course we prove and use of the compound angle and double angle identities. We also solve problems in two and three dimensions.
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In Grade 12, we identify and solve problems involving number patterns that lead to arithmetic and geometric sequences and series, including infinite geometric series.
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In Grade 12, we introduce a more formal definition of a function and extend Grade 11 work on the relationships between variables in terms of numerical, graphical, verbal and symbolic representations of functions and convert flexibly between these representations (tables, graphs, words and formulae). Include linear, quadratic and some cubic polynomial functions, exponential and logarithmic functions, and some rational functions.
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In Grade 12 Algebra the focus is on demonstrating an understanding of the definition of a logarithm and any laws needed to solve real life problems.
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This course is a collection of past papers that you can use to practice what you have learnt and prepare for assessments
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This is a collection of worksheets and memos that you can use to practice each topic.
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