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دانلود کتاب Mathematics for the international student : pre-Diploma SL and HL (MYP 5 Plus)
دانلود کتاب ریاضیات برای دانش‌آموزان بین‌المللی: پیش از دیپلم SL و HL (MYP 5 Plus)
مشخصات کتاب
Mathematics for the international student : pre-Diploma SL and HL (MYP 5 Plus)
ویرایش: [2 ed.] نویسندگان: Pamela Vollmar, Edward Kemp, Michael Haese, Robert Haese, Sandra Haese, Mark Humphries, Chris Sangwin سری: ISBN (شابک) : 9781876543891, 1876543892 ناشر: Haese and Harris Publications سال نشر: 2008 تعداد صفحات: [608] زبان: English فرمت فایل : PDF (درصورت درخواست کاربر به PDF، EPUB یا AZW3 تبدیل می شود) حجم فایل: 11 Mb
قیمت کتاب (تومان) : 57,000
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توجه داشته باشید کتاب ریاضیات برای دانش‌آموزان بین‌المللی: پیش از دیپلم SL و HL (MYP 5 Plus) نسخه زبان اصلی می باشد و کتاب ترجمه شده به فارسی نمی باشد. وبسایت اینترنشنال لایبرری ارائه دهنده کتاب های زبان اصلی می باشد و هیچ گونه کتاب ترجمه شده یا نوشته شده به فارسی را ارائه نمی دهد.
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فهرست مطالب
Back to main page file://main.pdfHELP file://help.pdf------------------------------------------ Pre-Diploma SL and HL (MYP 5 Plus) Foreword Using the interactive CD Areas of interaction Table of contents Graphics calculator instructions A - Basic calculations B - Basic functions C - Secondary function and alpha keys D - Memory E - Lists F - Statistical graphs G - Working with functions Summary of circle properties Summary of measurement facts Challenge sets 1. Sets and Venn diagrams Opening problem A - Number sets Exercise 1A Answers B - Interval notation Exercise 1B Answers C - Venn diagrams Exercise 1C Answers D - Union and intersection Exercise 1D.1 Answers Exercise 1D.2 Answers E - Problem solving with venn diagrams Exercise 1E Answers F - The algebra of sets (extension) Exercise 1F Answers Review set 1A Answers Review set 1B Answers 2. Algebraic expansion and factorisation A - Revision of expansion laws Exercise 2A Answers B - Revision of factorisation Exercise 2B Answers C - Further expansion Exercise 2C Answers D - The binomial expansion Investigation 1 - The binomial expansion of (a+b)³ Exercise 2D Answers E - Factorising expressions with four terms Exercise 2E Answers F - Factorising quadratic trinomials Exercise 2F Answers G - Factorisation by splitting Investigation 2 - Factorisation by splitting the middle term Exercise 2G Answers H - Miscellaneous factorisation Exercise 2H Answers Review set 2A Answers Review set 2B Answers 3. Radicals and surds Historical note A - Basic operations with radicals Exercise 3A.1 Answers Exercise 3A.2 Answers B - Properties of radicals Investigation 1 - Properties of radicals Exercise 3B.1 Answers Exercise 3B.2 Answers C - Multiplication of radicals Exercise 3C Answers D - Division by radicals Exercise 3D Answers E - Equality of surds Exercise 3E Answers Investigation 2 - Continued square roots Review set 3A Answers Review set 3B Answers 4. Pythagoras' theorem Opening problem A - Pythagoras' theorem Exercise 4A Answers B - The converse of Pythagoras' theorem Exercise 4B.1 Answers Exercise 4B.2 Answers Investigation - Pythagorean triples spreadsheet C - Problem solving using Pythagoras' theorem Exercise 4C.1 Answers Exercise 4C.2 Answers D - Circle problems Exercise 4D Answers E - Three-dimensional problems Exercise 4E Answers F - More difficult problems (extension) Exercise 4F Answers Review set 4A Answers Review set 4B Answers 5. Coordinate geometry Historical note Opening problem A - Distance between two points Exercise 5A.1 Answers Exercise 5A.2 Answers B - Midpoints Exercise 5B Answers C - Gradient (or slope) Exercise 5C.1 Answers Exercise 5C.2 Answers Exercise 5C.3 Answers D - Using coordinate geometry Exercise 5D Answers E - Equations of straight lines Exercise 5E.1 Answers Exercise 5E.2 Answers Exercise 5E.3 Answers Exercise 5E.4 Answers F - Distance from a point to a line Exercise 5F Answers G - 3-dimensional coordinate geometry (extension) Exercise 5G Answers Review set 5A Answers Review set 5B Answers 6. Congruence and similarity Opening problem A - Congruence of figures Exercise 6A Answers B - Constructing triangles Exercise 6B Answers Investigation - Constructing triangles C - Congruent triangles Exercise 6C.1 Answers Exercise 6C.2 Answers Exercise 6C.3 Answers D - Similarity Discussion Exercise 6D Answers E - Areas and volumes of similar figures Exercise 6E Answers Review set 6A Answers Review set 6B Answers 7. Transformation geometry A - Translations Exercise 7A Answers B - Reflections Exercise 7B Answers C - Rotations Exercise 7C Answers D - Dilations Investigation 1 - Negative dilation factors Exercise 7D Answers Investigation 2 - Linear transformations Review set 7A Answers Review set 7B Answers 8. Univariate data analysis Historical note Opening problem 1 A - Statistical terminology Exercise 8A.1 Answers Exercise 8A.2 Answers B - Quantitative (numerical) data Discussion Exercise 8B Answers C - Grouped discrete data Exercise 8C Answers D - Continuous data Exercise 8D Answers E - Measuring the centre Exercise 8E.1 Answers Discussion Exercise 8E.2 Answers F - Cumulative data Exercise 8F Answers G - Measuring the spread Exercise 8G Answers H - Box-and-whisker plots Exercise 8H.1 Answers Exercise 8H.2 Answers I - Statistics from technology Exercise 8I.1 Answers Exercise 8I.2 Answers J - Standard deviation Exercise 8J.1 Answers Exercise 8J.2 Answers K - The normal distribution Exercise 8K Answers Review set 8A Answers Review set 8B Answers 9. Quadratic equations Opening problem A - Quadratic equations of the form x²=k Exercise 9A Answers B - Solution by factorisation Exercise 9B.1 Answers Exercise 9B.2 Answers C - Completing the square Exercise 9C Answers D - Problem solving Exercise 9D Answers Historical note - Babylonian algebra E - The quadratic formula Exercise 9E.1 Answers Exercise 9E.2 Answers Exercise 9E.3 Answers Review set 9A Answers Review set 9B Answers 10. Trigonometry Historical note - Astronomy and trigonometry Opening problem A - Trigonometric ratios Investigation 1 - Complementary angles Exercise 10A.1 Answers Exercise 10A.2 Answers Investigation 2 - Hipparchus and the universe B - Trigonometric problem solving Exercise 10B.1 Answers Exercise 10B.2 Answers C - 3-dimensional problem solving Exercise 10C.1 Answers Exercise 10C.2 Answers D - The unit circle Exercise 10D Answers E - Area of a triangle using sine Exercise 10E Answers Investigation 3 - Sine and cosine rules F - The sine rule Exercise 10F Answers G - The cosine rule Exercise 10G Answers H - Problem solving with the sine and cosine rules Exercise 10H Answers I - Trigonometric identities Exercise 10I.1 Answers Exercise 10I.2 Answers Review set 10A Answers Review set 10B Answers 11. Probability Historical note Opening problem A - Experimental probability Exercise 11A Answers B - Probabilities from tabled data Exercise 11B Answers C - Representing combined events Exercise 11C Answers D - Theoretical probability Exercise 11D Answers E - Compound events Exercise 11E.1 Answers Exercise 11E.2 Answers F - Using tree diagrams Exercise 11F Answers G - Sampling with and without replacement Exercise 11G Answers H - Mutually exclusive and non-mutually exclusive events Exercise 11H Answers I - Venn diagrams and conditional probability Exercise 11I.1 Answers Exercise 11I.2 Answers Review set 11A Answers Review set 11B Answers 12. Algebraic fractions A - Simplifying algebraic fractions Exercise 12A.1 Answers Exercise 12A.2 Answers B - Multiplying and dividing algebraic fractions Exercise 12B Answers C - Adding and subtracting algebraic fractions Exercise 12C Answers D - More complicated fractions Exercise 12D.1 Answers Exercise 12D.2 Answers Review set 12A Answers Review set 12B Answers 13. Formulae A - Formula substitution Exercise 13A Answers Investigation - Pizza pricing B - Formula rearrangement Exercise 13B.1 Answers Exercise 13B.2 Answers C - Formula construction Exercise 13C Answers D - Formulae by induction Exercise 13D Answers E - More difficult rearrangements Exercise 13E Answers Review set 13A Answers Review set 13B Answers 14. Relations, functions and sequences Opening problem A - Relations and functions Exercise 14A Answers B - Functions Exercise 14B Answers C - Function notation Exercise 14C.1 Answers Exercise 14C.2 Answers Investigation 1 - Fluid filling functions D - Composite functions Exercise 14D Answers E - Transforming y=f(x) Exercise 14E Answers F - Inverse functions Investigation 2 - Inverse functions Exercise 14F Answers G - The modulus function Investigation 3 - The modulus function Exercise 14G.1 Answers Exercise 14G.2 Answers H - Where functions meet Exercise 14H Answers I - Number sequences Exercise 14I.1 Answers Exercise 14I.2 Answers J - Recurrence relationships Exercise 14J Answers Investigation 4 - Sequences in finance Review set 14A Answers Review set 14B Answers 15. Vectors Opening problem A - Directed line segment representation Exercise 15A Answers B - Vector equality Exercise 15B Answers C - Vector addition Exercise 15C Answers D - Vector subtraction Exercise 15D Answers E - Vectors in component form Exercise 15E.1 Answers Exercise 15E.2 Answers F - Scalar multiplication Exercise 15F Answers G - Vector equations Exercise 15G Answers H - Parallelism of vectors Exercise 15H Answers I - The scalar product of two vectors Exercise 15I.1 Answers Exercise 15I.2 Answers Exercise 15I.3 Answers J - Vector proof (extension) Exercise 15J Answers Review set 15A Answers Review set 15B Answers 16. Exponential functions and logarithms Opening problem A - Index laws Exercise 16A Answers B - Rational (fractional) indices Investigation 1 - Rational indices Exercise 16B Answers C - Exponential functions Exercise 16C Answers Investigation 2 - Solving exponential equations graphically D - Growth and decay Exercise 16D Answers E - Compound interest Exercise 16E Answers F - Depreciation Exercise 16F Answers G - Exponential equations Exercise 16G Answers H - Expansion and factorisation Exercise 16H.1 Answers Exercise 16H.2 Answers Investigation 3 - Logarithms Exercise 16I.1 Answers Exercise 16I.2 Answers Exercise 16I.3 Answers Research Exercise 16I.4 Answers Exercise 16I.5 Answers Review set 16A Answers Review set 16B Answers 17. Quadratic functions Opening problem A - Quadratic functions Exercise 17A Answers B - Graphs of quadratic functions Exercise 17B.1 Answers Investigation 1 - Graphs of quadratic functions Exercise 17B.2 Answers Exercise 17B.3 Answers Exercise 17B.4 Answers C - Axes intercepts Investigation 2 - Axes intercepts Exercise 17C.1 Answers Exercise 17C.2 Answers D - Axis of symmetry and vertex Investigation 3 - Axis of symmetry and vertex Exercise 17D Answers E - Quadratic optimisation Exercise 17E Answers Review set 17A Answers Review set 17B Answers 18. Advanced trigonometry Opening problem A - Radian measure Exercise 18A Answers B - Trigonometric ratios from the unit circle Exercise 18B Answers C - The multiples of 30° and 45° Exercise 18C.1 Answers Exercise 18C.2 Answers D - Graphing trigonometric functions Investigation - Families of trigonometric functions Exercise 18D Answers E - Modelling with sine functions Exercise 18E Answers F - Trigonometric equations Exercise 18F Answers G - Negative and complementary angle formulae Exercise 18G Answers H - Addition formulae Exercise 18H Answers Review set 18A Answers Review set 18B Answers 19. Inequalities Opening problem A - Sign diagrams Exercise 19A Answers B - Interval notation Exercise 19B Answers C - Inequalities Exercise 19C Answers D - The arithmetic mean-geometric mean inequality (extension) Investigation - Arithmetic and geometric means Exercise 19D Answers Review set 19A Answers Review set 19B Answers 20. Matrices and linear transformations Opening problem A - Introduction to matrices Exercise 20A Answers B - Operations with matrices Exercise 20B.1 Answers Exercise 20B.2 Answers Exercise 20B.3 Answers C - Matrix multiplication Exercise 20C Answers D - The determinant of a matrix Exercise 20D Answers E - Multiplicative identity and inverse matrices Investigation - Discovering A^(-1) Exercise 20E Answers F - Simultaneous equations Exercise 20F.1 Answers Exercise 20F.2 Answers G - Linear transformations Exercise 20G.1 Answers Exercise 20G.2 Answers Exercise 20G.3 Answers Exercise 20G.4 Answers Exercise 20G.5 Answers H - Proofs with 2×2 matrices (extension) Exercise 20H Answers Review set 20A Answers Review set 20B Answers 21. Deductive geometry Historical note Opening problem A - Circle theorems Exercise 21A Answers B - Further circle theorems Investigation 1 - Circle theorems Exercise 21B Answers C - Geometric proof Exercise 21C Answers D - Cyclic quadrilaterals Investigation 2 - Cyclic quadrilaterals Exercise 21D Answers Investigation 3 - Circles and triangles Review set 21A Answers Review set 21B Answers 22. Introduction to calculus Opening problem A - Estimating gradients of tangents to curves Exercise 22A Answers B - Gradients using quadratic theory Exercise 22B Answers C - Gradients using limit theory Exercise 22C Answers D - Differentiation Investigation 1 - Derived functions Exercise 22D.1 Answers Exercise 22D.2 Answers E - Optimisation Exercise 22E Answers F - Areas under curves Investigation 2 - The area under y=x² from x=0 to x=1 Exercise 22F Answers G - Integration Exercise 22G.1 Answers Exercise 22G.2 Answers H - The definite integral Exercise 22H Answers Review set 22A Answers Review set 22B Answers 23. Counting and probability 24. Locus 25. Networks Answers Index
