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Grade 12 Mathematics
Paper 1 and paper 2 maths notes for grade 12
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Grade 12 Mathematics: Polynomials, Average gradient, limits & differentiation
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Degree of polynomial, polynomial division, factor theorem, average gradient, limits (definition and examples), gradient at a point, differentiation (rules, notation and examples).
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Add to cartDegree of polynomial, polynomial division, factor theorem, average gradient, limits (definition and examples), gradient at a point, differentiation (rules, notation and examples).
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Grade 12 Mathematics: Number Patterns
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Revision of Linear and quadratic number patterns (formula and examples), Arithmetic and geometric sequences, means, proofs, series and mixed examples. Infinite series, combination sequences, applications of sequences and series and the difference between of and more.
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Add to cartRevision of Linear and quadratic number patterns (formula and examples), Arithmetic and geometric sequences, means, proofs, series and mixed examples. Infinite series, combination sequences, applications of sequences and series and the difference between of and more.
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Grade 12 Mathematics: Volume, surface area and optimization
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Volume and surface area formulas and explanations for various shapes, maxima and minima problems, rates of change notes and examples.
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Add to cartVolume and surface area formulas and explanations for various shapes, maxima and minima problems, rates of change notes and examples.
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Grade 12 Mathematics: Geometry
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Midpoint theorems, area of triangles, line parallel to one side of triangle theorem, line divides two sides of a triangle proportionally, similarity of polygons, equiangular triangles, sides of triangle are proportional, theorem of Pythagoras proof.
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Add to cartMidpoint theorems, area of triangles, line parallel to one side of triangle theorem, line divides two sides of a triangle proportionally, similarity of polygons, equiangular triangles, sides of triangle are proportional, theorem of Pythagoras proof.
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Grade 12 Mathematics: Tangents, graphs & functions
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Notes on tangents to a curve, concavity and points of inflection, graph interpretation, logarithmic function, functions testing, inverse of linear and quadratic function, exponential function.
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Add to cartNotes on tangents to a curve, concavity and points of inflection, graph interpretation, logarithmic function, functions testing, inverse of linear and quadratic function, exponential function.
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Grade 12 Mathematics: Financial mathematics
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Interest, depreciation, nominal and effective, annuities, derivation of future value formula, solving for n, loans and loan repayments, present value formula, balance on loan, deferred payments , final payments and default payments.
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Add to cartInterest, depreciation, nominal and effective, annuities, derivation of future value formula, solving for n, loans and loan repayments, present value formula, balance on loan, deferred payments , final payments and default payments.
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Grade 12 Mathematics: Analytical Geometry Circles
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Circles finding the equation, center and tangents to a circle.
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Add to cartCircles finding the equation, center and tangents to a circle.
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