Indeholder "Introduction", " How to use your enhanced online course book", "1. Measuring space: accuracy and 2D geometry", " 1.1. Measurements and estimates", " 1.2. Recording measurements, significant digits and rounding", " 1.3. Measurements: exact or approximate?", " 1.4. Speaking scientifically", " 1.5. Trigonometry of right-angled triangles and indirect measurements", " 1.6. Angles of elevation and depression", " Chapter review", " Modelling and investigation activity", "2. Representing space: non-right angled trigonometry and volumes", " 2.1. Trigonometry of non-right triangles", " 2.2. Area of triangle formula. Applications of right and non-right angled trigonometry", " 2.3. 3D geometry: solids, surface area and volume", " Chapter review", " Modelling and investigation activity", "3. Representing and describing data: descriptive statistics", " 3.1. Collecting and organising univariate data", " 3.2. Sampling techniques", " 3.3. Presentation of data", " 3.4. Bivariate data", " Chapter review", " Modelling and investigation activity", "4. Dividing up space: coordinate geometry, lines, Voronoi diagrams", " 4.1. Coordinates, distance and midpoint formula in 2D and 3D", " 4.2. Gradient of a line and its applications", " 4.3. Equations of straight lines; different forms of equations", " 4.4. Parallel and perpendicular lines", " 4.5. Voronoi diagrams and the toxic waste problem", " Chapter review", " Modelling and investigation activity", "5. Modelling constant rates of change: linear functions", " 5.1. Functions", " 5.2. Linear Models", " 5.3. Arithmetic sequences", " 5.4. Modelling", " Chapter review", " Modelling and investigation activity", "6. Modelling relationships: linear correlation of bivariate data", " 6.1. Measuring correlation", " 6.2. The line of best fit", " 6.3. Interpreting the regression line", " Chapter review", " Modelling and investigation activity", "7. Quantifying uncertainty: probability, binomial and normal distributions", " 7.1. Theoretical and experimental probability", " 7.2. Representing combined probabilities with diagrams", " 7.3. Representing combined probabilities with diagrams and formulae", " 7.4. Complete, concise and consistent representations", " 7.5. Modelling random behaviour: random variables and probability distributions", " 7.6. Modelling the number of successes in a fixed number of trials", " 7.7. Modelling measurements that are distributed randomly", " Chapter review", " Modelling and investigation activity", "8. Testing for validity: Spearman's, hypothesis testing and χ^2 test for independence", " 8.1. Spearman's rank correlation coefficient", " 8.2. χ^2 test for independence", " 8.3. χ^2 goodness of fit test", " 8.4. The t-test", " Chapter review", " Modelling and investigation activity", "9. Modelling relationships with functions: power functions", " 9.1. Quadratic models", " 9.2. Problems involving quadratics", " 9.3. Cubic models, power functions and direct and inverse variation", " 9.4. Optimisation", " Chapter review", " Modelling and investigation activity", "10. Modelling rates of change: exponential and logarithmic functions", " 10.1. Geometric sequences and series", " 10.2. Compound interest, annuities, amortization", " 10.3. Exponential models", " 10.4. Exponential equations and logarithms", " Chapter review", " Modelling and investigation activity", "11. Modelling periodic phenomena: trigonometric functions", " 11.1. An introduction to periodic functions", " 11.2. An infinity of sinusoidal functions", " 11.3. A world of sinusoidal models", " Chapter review", " Modelling and investigation activity", "12. Analyzing rates of change: differential calculus", " 12.1. Limits and derivatives", " 12.2. Equation of tangent and normal and increasing and decreasing functions", " 12.3. Maximum and minimum points and optimisation", " Chapter review", " Modelling and investigation activity", "13. Approximating irregular spaces: integration", " 13.1. Finding areas", " 13.2. Integration: the reverse processes of differentiation", " Chapter review", " Modelling and investigation activity", "14. Exploration", "Practice exam paper 1", "Practice exam paper 2", "Answers", "Index".

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