Mathematics Department – Fourth Form Scheme of Work 2012/13 Textbook Edexcel Higher Linear Book Unit 1: Fractions and Algebraic Fractions 2A One quantity as a fraction of another 2B Adding and subtracting fractions 2C Multiplying fractions 2D Dividing fractions 20A Algebraic fractions Q1,2,4,5 Unit 2: Percentages 2E Percentage Increase 2F Percentage Decrease 2G One quantity as a percentage of another and Percentage change 2H Compound Interest and repeated percentage change Worksheet on Simple Interest Unit 3: Ratio and Proportion and Density 3A Ratios as fractions 3B Ratios including Map scales 3C Ratio calculations 3A,3B,3C,more difficult questions only as this is revision 3G Density Unit 4: Algebra 5D Factorising 5E Solving linear equations 5F Solving equations with brackets 5G Solving equations with the variable on both sides 5I Trial and Improvement Test E on Units 1- 4 Unit 5: Angles and Circle Theorems 7A Angles in triangles, quadrilaterals and parallel lines 7B Angles in polygons 7C Circle Theorems 7D Cyclic Quadrilaterals 7E Tangents and Chords 7F Alternate Segment Theorem Examination Questions and use of mymaths Unit 6: Constructions 9A Constructions 9B Constructing triangles 9C Loci 9D Loci Problems Unit 7: Indices and Standard Form 10A Powers/Indices 10B Negative Powers 10C Multiplying and Dividing numbers in index form 10D,10E Fractional Powers 10G Standard Form Q6 and 7 only Standard Form Worksheet for more practice Worksheet on Adding and Subtracting in Standard Form including the use of a calculator Unit 8: Similar Triangles 14A Similar Shapes and Triangles 14B More difficult Similar Triangles Test F on Units 5 – 8 Unit 9: Pythagoras and Trigonometry 6A,6B,6C,6D Selection of questions to re-cap Pythagoras 6E 3-D Pythagoras Trigonometry Introduction labelling sides, SOHCAHTOA, use of θ 6H,6I,6J Trigonometry Finding a side Trigonometry Finding an angle Worksheet for practice 6K Mixed questions 6L,6M,6N,6P Problem solving using Trigonometry Unit 10: Statistics 11A Recap of mean,mode,median and range 11B Mean,mode,median and range from a frequency table 11C Mean,mode,median and range from a grouped frequency table 11D Frequency Polygons and Histograms 11G Data Collection (just a couple of questions) 11J Sample size, bias, random and stratified sampling Define terms quantitative, qualitative, continuous and random Unit 11: Reverse Percentages Recap of multiplier method 2I Reverse Percentages Unit 12: 3D Coordinates Teacher Examples and use of mymaths Winter Assessment - 2 x 1period tests. 1 non-calculator, 1 calculator Unit 13: Algebra 5NChange the subject(re-cap and extension) 5J,5K,5L Simultaneous Equations by the elimination method only 5M Solving problems with Simultaneous equations Unit 14: Quadratic Expressions 12A Expanding 2 brackets to give a quadratic expression 12B,12C,12D Further expanding brackets 12E Factorising Quadratics 12F Difference of 2 squares 12G More factorising Quadratics Unit 15: Linear Inequalities 24A Solving Inequalities 24B Inequalities on a Number Line(extend to showing integer values) 24C Solving simple quadratic inequalities 24D Graphical Inequalities Unit 16: Probability 19A-19F Selection of Questions as a recap 19G Tree Diagrams 19H Independent Events and Tree Diagrams 19I,19J More Tree diagram questions 19K Tree diagrams without replacement Test G on Units 13 – 16 Unit 17: Statistics 18A Line Graphs 18B Stem and Leaf Diagrams include finding mode and median 18D Cumulative Frequency,Median,Quartiles,IQR 18E Boxplots extend to IQR from stem and leaf 11E Histograms with bars of unequal width including mean and median Unit 18:Transformations 8A Rules for Congruence 8B Translations (couple of questions as a re-cap) 8C Reflections 8D Rotations 8E Enlargements including fractional and negative scale factors 8F Combined Transformations Unit 19: Graphs 17A Quadratic Graphs 17B More Quadratic Graphs Q 1- 10 only 13A Travel Graphs (couple of questions as re-cap only) 13B More travel graphs 13C Velocity-Time graphs and acceleration 13D Real-Life Graphs Summer Assessment – 2 x 1.5hr papers. 1 non-calculator, 1 calculator