PROPOSED TABLE OF CONTENTS FOR YEAR 11 GENERAL MATHEMATICS AND ESSENTIAL MATHEMATICS
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1 15 June 2015 PROPOSED TABLE OF CONTENTS FOR YEAR 11 GENERAL MATHEMATICS AND ESSENTIAL MATHEMATICS YEAR 11 GENERAL MATHEMATICS CHAPTER 1: A B C D E F G EQUATIONS AND FORMULAE Algebraic substitution Linear equations Equations involving fractions Solving equations using technology Problem solving with linear equations Formula substitution Formula rearrangement CHAPTER 2: MEASUREMENT A International System (SI) units B Scientific notation C Rounding D Estimation and approximation E Rates CHAPTER 3: INVESTING AND BORROWING A Financial institutions B Simple interest C Compound interest D Investment applications E Tax and inflation F Borrowing CHAPTER 4: SHARE INVESTMENTS A Shares B Buying shares C Selling shares D Breakeven price E Capital gains F Dividends
2 CHAPTER 5: CONSUMER ARITHMETIC (ACARA ONLY) A Employment B Government allowances and pensions C Budgets D Buying and selling E Inflation F Foreign currency CHAPTER 6: PYTHAGORAS THEOREM A Pythagoras theorem B Right angles in geometry C The converse of Pythagoras theorem D Problem solving E Three-dimensional problems CHAPTER 7: PERIMETER, AREA, AND VOLUME A Conversion of units B Perimeter C Area D Area of irregular shapes E Surface area F Volume G Capacity CHAPTER 8: SIMILARITY AND SCALES A Similarity B Similar triangles C Problem solving D Area and volume of similar figures E Scale diagrams CHAPTER 9: STATISTICS A Statistical data B Sampling C Analysing and displaying data D Stem plots E Measures of centre F Measures of spread G Box-and-whisker plots H Comparing data sets 2
3 CHAPTER 10: RIGHT ANGLED TRIANGLE TRIGONOMETRY A Labelling right angled triangles B The trigonometric ratios C Problem solving using trigonometry D 3-dimensional problem solving E True bearings CHAPTER 11: NON-RIGHT ANGLED TRIANGLE TRIGONOMETRY A The area of a triangle B The sine rule C The cosine rule D Problem solving CHAPTER 12: LINEAR FUNCTIONS A Linear relationships B Graphing linear relationships C Equations of linear graphs D Linear simultaneous equations E Problem solving with simultaneous equations F Piece-wise linear and step functions CHAPTER 13: MATRICES A Matrix structure B Addition, subtraction, and multiples of matrices C Matrix multiplication D Costing and stock control problems CHAPTER 14: MATRIX APPLICATIONS A Networks B Connectivity matrices C Dominance matrices D Transition matrices 3
4 YEAR 11 ESSENTIAL MATHEMATICS CHAPTER 1: WORKING WITH NUMBERS A Number operations B Order of operations C Rounding decimal numbers D One-figure approximation E Scientific notation F Percentages CHAPTER 2: RATIO AND RATES A Ratio B Equal ratios C Proportions D Using ratios to divide quantities E Scale diagrams F Rates CHAPTER 3: EARNING AND SPENDING A Employment B Other income C Taxation D Spending E Discount F Budgets CHAPTER 4: GEOMETRY A 2-dimensional shapes B 3-dimensional shapes C Angles D Complementary and supplementary angles E Angle pairs F Parallel lines G Geometric construction CHAPTER 5: DATA IN CONTEXT A Types of data B Two-way tables C Graphing categorical data D Graphing numerical data E Line graphs and step graphs F Analysing data G Comparing data 4
5 CHAPTER 6: MEASUREMENT A Imperial standard units B The metric system C Conversion of units D Measuring devices and their accuracy E Approximating and estimating F Perimeter G Area CHAPTER 7: FURTHER MEASUREMENT A Volume and capacity B Mass C Time D Energy CHAPTER 8: LAWS OF ALGEBRA A Laws of exponents B The distributive law C The product (a+b)(c+d) D Difference of two squares E Perfect squares expansions F Further expansion CHAPTER 9: EQUATIONS AND FORMULAE A Algebraic substitution B Linear equations C Solving equations using technology D Formula substitution E Formula rearrangement CHAPTER 10: INVESTING A B C D Interest Simple interest Compound interest Comparing simple and compound interest 5
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