Essential Mathematics 10 with CD-ROM

The CSF II Course
Erscheinungsjahr 2000
ISBN: 978-0-521-62593-7
Verlag: Cambridge University Press

Medienkombination, Englisch, 496 Seiten, Format (B × H): 158 mm x 260 mm, Gewicht: 732 g

Reihe: Essential Mathematics

Essential Mathematics 10: The CSF II Course is the fourth book in the Essential Mathematics series. This series has been written to fully address the requirements of the CSF II and so each chapter is linked to a particular CSF strand. The content of a particular chapter is developed through clear explanations, numerous worked examples and graded exercises, and concludes with a module review in which questions are referenced back to the relevant exercises. The book is also written to cater for advanced classes and includes analysis tasks and extension material. The material will suit many schools or streamed classes that wish to advance teaching toward a VCE level. Graphics calculators are a key focus in the application of technology throughout the text.

Autoren/Hrsg.

Greenwood, David

Robertson, David

Inhaltsverzeichnis

Legend; Acknowledgments; Introduction; Module 1. Probability and statistics: 1. Probability and statistics, 1.1. Probability review, 1.2. Random devices and simulation, 1.3. Simulation - technology, 1.4. Estimation of probabilities, 1.5. Graphics calculator programs, 2. Univariate data, 2.1. Statistical measures - review, 2.2. Box plots, 2.3. Box plots - graphics calculator, 2.4. Presenting data, 2.5. More technology, 2.6. Interpretation of graphs; Module 2. Trigonometry: 3. Trigonometry, 3.1. sin, cos and tan, 3.2. Finding the angle, 3.3. Trigonometric ratios (SOHCAHTOA), 3.4. Further trigonometric ratios, 3.5. Finding angles in right-angled triangles, 3.6. Two-dimensional trigonometric applications, 3.7. Further two-dimensional applications, 3.8. Bearings, 3.9. Trigonometry in three dimensions, 3.10. The unit circle, 3.11. Graphs of sin, cos and tan; Module 3. Algebra 1: 4. Operations in Algebra, 4.1. Reviewing the rules of algebra, 4.2. Addition and subtraction of algebraic fractions, 4.3. Solving linear equations, 4.4. Graphs of linear equations, 4.5. Equations of linear graphs using y = mx + c, 4.6. Expanding quadratic expressions, 4.7. Perfect squares and DOPS, 4.8. Factorisation including DOPS, 4.9. Factorising quadratic trinomials of the form x2 + bx + c, 4.10. Multiplication and division of algebraic fractions, 4.11. Surds, 4.12. Operations with surds, 5. Parabolas and solving quadratic equations, 5.1. Plotting quadratic plots, 5.2. Investigating types of parabolas, 5.3. Combined transformations of y = x2, 5.4. Solving quadratic equations - graphically and by trial and error, 5.5. Solving quadratic equations algebraically, 5.6. Problem solving and modelling with quadratics; Module 4. Geometry: 6. Geometry, 6.1. Revision of basic geometry, 6.2. Similar and congruent triangles, 6.3. Circles, 6.4. Circle theorems, 6.5. Construction, 6.6. Computer geometry, 6.7. Drawing three-dimensional shapes, 6.8. Describing paths, 6.9. Loci, 6.10. Geometric proof; Module 5. Bivariate data: 7. Bivariate data, 7.1. Variables and raw data, 7.2. Scatter plots, 7.3. Association and outliers, 7.4. Line of good fit by eye, 7.5. Regression lines and equations, 7.6. Time series data, 7.7. Summarising bivariate data with graphics calculators, 7.8. More than two variables; Cyclic Revision A; Module 6. Length, area and volume: 8. Length, area and volume, 8.1. Conversion of units, 8.2. Length, 8.3. Pythagoras' theorem, 8.4. Area, 8.5. Surface area - prisms and pyramids, 8.6. Surface area - spheres and cones, 8.7. Volume - prisms, pyramids and cones, 8.8. Volume - spheres, 8.9. Measurement with trigonometry, 8.10. Scientific applications; Module 7. Algebra 2: 9. Exponentials, 9.1. Review of the index laws, 9.2. Negative and fractional indices, 9.3. Exploring exponential relations graphically, 9.4. Finding solutions to exponential equations, 9.5. Exponential growth and decay, 10. Equations and inequations, 10.1. Review of linear graphing, 10.2. Solving simultaneous equations graphically, 10.3. Solving simultaneous equations using substitution, 10.4. Solving simultaneous equations using elimination, 10.5. Simultaneous equations and problem solving, 10.6. Solving linear inequations, 10.7. Half planes and simultaneous linear inequations, 10.8. Intersecting half planes using technology; Module 8. Probability 2: 11. Probability 2, 11.1. Lattice diagrams, 11.2. Tree diagrams, 11.3. Sets and Venn diagrams, 11.4. Complementary events, 11.5. More Venn diagrams, 11.6. More complex sets, 11.7. Linking probability - simulations, experiments and probability, 11.8. Conditional probability, 11.9. Independent events; Module 9. Algebra 3: 12. Quadratic relations, 12.1. Review of quadratics - expansion, 12.2. Review of quadratics - factorisation, 12.3. Factorising quadratics of the form ax2 + bx + c, 12.4. Completing the square, 12.5. Solving quadratic equati