Medienkombination, Englisch, 520 Seiten, Format (B × H): 170 mm x 243 mm, Gewicht: 885 g
Reihe: Essential Mathematics
The CSF II Course
Medienkombination, Englisch, 520 Seiten, Format (B × H): 170 mm x 243 mm, Gewicht: 885 g
Reihe: Essential Mathematics
ISBN: 978-0-521-62594-4
Verlag: Cambridge University Press
Essential Mathematics 9: The CSF II Course is a student resource for the CSF II Mathematics Course and is comprehensive in content, reliable and realistic in scope. It systematically and logically addresses the latest version of the CSF and includes links between topics, enabling students to fully understand the relationships between different branches of mathematics. It also follows the CSF II sample course to ensure clear and complete coverage of the CSF II - each chapter lists the CSF outcomes addressed, and includes analysis questions that reinforce conceptual understanding and includes two levels of revision. Included are realistic, extensive worked examples and carefully graded exercises that will offer success for all students. The book contains material for advanced level courses. Along with the accompanying CD, Essential Mathematics 9: The CSF II Course offers a complete course of study for students and teachers.
Autoren/Hrsg.
Weitere Infos & Material
Legend; Acknowledgments; Introduction; Module 1. Mathematical techniques and procedures: 1. Computational skills, 1.1. Order of operations, 1.2. Rational approximations, 1.3. Estimation, 1.4. Fraction review, 1.5. Reviewing multiplication and division with fractions, 1.6. Ratios, 1.7. Percentages, 1.8. Percentage applications - cost price and selling price, 1.9. More percentage applications - mark-up, 1.10. More percentage applications - simple interest (flat rate), 1.11. Rounding and significant figures, 2. Indices and scientific notation, 2.1. Index form (exponential notation), 2.2. Introducing the index laws - index law 1 and index law 2, 2.3. Index law 3 and index law 4, 2.4. Index law 5 and index law 6, 2.5. Index law 7 - negative indices, 2.6. Index law 8 - fractional indices, 2.7. Scientific notation or standard form; Module 2. Drawing and making shapes: 3. Two-dimensional shapes, 3.1. Angle review, 3.2. Constructing angles, 3.3. Parallel lines, 3.4. Triangles and their properties, 3.5. Constructing unique triangles, 3.6. Congruent triangles, 3.7. Quadrilaterals, 3.8. Complex drawings and constructions, 3.9. Enlargement, reduction and similarity, 3.10. Projections and their effects, 3.11. Formal proof of properties, 4. Three-dimensional shapes, 4.1. Solid figures, 4.2. Nets, 4.3. Two-dimensional representation of three-dimensional solids, 4.4. Enlargements and reduction; Module 3. Statistics: 5. Data and statistics, 5.1. Types of data, 5.2. Collecting data, 5.3. Column graphs, 5.4. Frequency tables and column graphs for ungrouped data, 5.5. Grouped frequency distributions, 5.6. Dot plots, 5.7. Stem and leaf plots, 5.8. Back-to-back stem and leaf plots, 5.9. The mean, mode and range of an ungrouped distribution, 5.10. The mean and mode of a grouped frequency distribution, 5.11. Further work with histograms and weighted means, 5.12. Sampling; Module 4. Algebra: 6. Algebraic expressions, 6.1. Writing algebraic expressions, 6.2. Simplifying algebraic terms and expressions, 6.3. The distributive law, 6.4. Factorisation - common factors, 6.5. Factorisation - grouping two and two, 6.6. Adding and subtracting algebraic functions, 6.7. Multiplication and division of algebraic fractions, 7. Equations and inequations, 7.1. Solving linear equations, 7.2. Setting up equations, 7.3. Working with equations, 7.4. Equations involving more than one fraction, 7.5. Inequations, 7.6. Applying formulae, 8. Linear relations, 8.1. Plotting straight line graphs, 8.2. Sketching linear relations using the two-intercept method, 8.3. Special lines, 8.4. Gradient, 8.5. Sketching linear graphs using the gradient-intercept method, 8.6. Finding the equation of a straight line, 8.7. Graphing inequations - half planes; Module 5. Length, area and volume: 9. Length, area and volume, 9.1. Conversion of units, 9.2. Perimeter, 9.3. Area - plane figures, 9.4. Further problems involving area, 9.5. Circles, 9.6. Composite shapes with circles, 9.7. Total surface area, 9.8. Volume of solids with a constant cross-section, 9.9. Volume of spheres and composite objects, 9.10. Estimation, 9.11. Accuracy and errors, 10. Pythagoras' theorem, 10.1. Right-angled triangles, 10.2. Finding the lengths of sides other than the hypotenuse, 10.3. Simple applications, 10.4. Drawing right-angled triangles and further applications, 10.5. Pythagoras in three dimensions, 10.6. Pythagorean triads; Cyclic Revision A; Module 6. Place, time and change: 11. Maps and time, 11.1. Coordinates and maps, 11.2. Coordinates, time zones and scheduling, 11.3. Maps and scales, 11.4. Rates - tables and formulas, 11.5. Rates and conversion graphs, 11.6. Rates and travel graphs, 12. Transformation, 12.1. Translation, 12.2. Rotation, 12.3. Order of rotational symmetry, 12.4. Reflection, 12.5. Axes of symmetry, 12.6. Dilation; Module 7. Probability and statistics: 13. Statistics, 13.1. Planning c
