Cambridge General Mathematics Year 12

Inhaltsverzeichnis

HSC formulae; 1. Credit and borrowing: Borrowing money, Credit cards, Home and business loans, Loan repayments, Loan options, Fees and charges, Project - obtaining a loan, Summary of learning and understanding, Revision; 2. Applications of area and volume: Error in calculations, The ellipse, The annulus, Sectors, quadrants and semicircles, Composite figures, Simpson's rule, Surface area of cylinders and spheres, Volume of composite opposites, Summary of learning and understanding, Revision; 3. Interpreting sets of data: Identifying measures of location, Identifying measures of spread, Investigating outliers, The shape and description of a curve, Double stem-and-leaf plots, Double box-and-whisker plots, Double radar charts, Area charts, Multiple displays, Two-way tables, Summary of learning and understanding, Revision; 4. Multistage events: Review of terms used in probability, Counting techniques, Arrangements of a set of different items, Venn diagrams, Further probability techniques, Complementary events, Mutually exclusive events, Probability trees, Replacement and non-replacement, Impossible events, Summary of learning and understanding, Revision; Cyclic revision set 1; Multiple choice revision set 1; 5. Algebraic skills and techniques: Evaluating algebraic expressions, Adding and subtracting like terms, Multiplying algebraic terms, Dividing algebraic terms, Review of solving equations, Working with powers of 10, Substituting in formulae, Summary of learning and understanding, Revision; 6. Annuities and loan repayments: Planning for the future, Present value, Using prepared tables, Loan repayments, Summary of learning and understanding, Revision; 7. Normal distribution: Describing z-scores, Comparing data, Properties of the normal distribution, Calculations involving the normal distribution, Capture-recapture technique, Summary of learning and understanding, Revision; Cyclic revision set 2; Multiple choice revision set 2; 8. Applications of trigonometry: The right-angled triangle, Solving right-angled triangles, How to deal with two right-angled triangles, Where are you going? Direction and bearing, Solving problems involving bearings, Obtuse angles, Reversing trigonometric functions, Sine rule for all triangles, Standard notation for a triangle, The sine rule, Area of a triangle, The cosine rule - Pythagoras for all triangles, Two-triangle problems, Problems involving non-right-angled triangles, Surveying, Summary of learning and understanding, Revision; 9. Equations, formulae and linear modelling: Solving equations containing more than one variable, Changing the subject of an equation or formula, Solving equations by estimation and refinement, Graphing linear functions, Interpreting the point of intersection of the graphs of two linear functions, Summary of learning and understanding, Revision; 10. Depreciation: Depreciation, Declining balance method, Straight line depreciation, Depreciation and taxation, Summary of learning and understanding, Revision; Cyclic revision set 3; Multiple choice revision set 3; 11. Modelling non-linear relationships: The quadratic function and the parabola, Cubic functions, Hyperbolic functions, Exponential functions, Variation, Summary of learning and understanding, Revision; 12. Correlation: Scatterplot, The gradient of a line, Vertical intercepts, Finding the equation of a straight line, Median regression lines, Making predictions, Correlation, Summary of learning and understanding, Revision; 13. Applications of probability: Expected results, Simulations, Decision trees, Two-way tables, Summary of learning and understanding, Revision; 14. Spherical geometry: Arc lengths, Great and small circles, The earth as a sphere, Where on earth are we?, The nautical mile, Great circle distances, Speed on water, Time around the world, Finding local time, Summary of learning and understanding, Revision; Cyclic revision set 4; Multiple choice revision set 4; Answers.