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GCSE Mathematics Linked Pair Pilot – Beginning to teach. 10NMB01 Presented by Edexcel Principal Examiners. Slide 1. Course code 10NMB01. Session 1 Aims. The purpose of this event is to: Review the GCSE Linked Pair in more detail

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  1. GCSE Mathematics Linked Pair Pilot – Beginning to teach 10NMB01 Presented by Edexcel Principal Examiners Slide 1 Course code 10NMB01

  2. Session 1 Aims The purpose of this event is to: Review the GCSE Linked Pair in more detail Review differences between GCSE Linked Pair and GCSE Maths at unit 2 in particular Consider some teaching implications Review additional resources for GCSE Linked Pair Discuss and share entry practice Slide 2 Course code 10NMB01/02

  3. Session 2 Examination Timetable Applications - Final dates Monday 6 June 5AM1F Applications of Mathematics Unit 1 F Tier: Paper 1 (Calculator) (1h 45m) 5AM1H Applications of Mathematics Unit 1 H Tier: Paper 1 (Calculator) (1h 45m) Slide 3 Course code 10NMB01/02

  4. Session 2 Examination Timetable Applications - Final dates Friday 10 June 5AM2F Applications of Mathematics Unit 2 F Tier: Paper 1 (Calculator) (1h 45m) 5AM2H Applications of Mathematics Unit 2 H Tier: Paper 1 (Calculator) (1h 45m) Please note, first certification of this qualification is in June 2011 (until June 2013) Slide 4 Course code 10NMB01/02

  5. Session 2 Examination Timetable Methods - Final dates Monday 13 June 5MM1F Methods of Mathematics Unit 1 F Tier: Paper 1 (Non-Calculator) (1h 45m) 5MM1H Methods of Mathematics Unit 1 H Tier: Paper 1 (Non-Calculator) (1h 45m) Slide 5 Course code 10NMB01/02

  6. Session 2 Examination Timetable Methods - Final dates Monday 21st June 5MM2F Methods of Mathematics Unit 2 F Tier: Paper 1 (Calculator) (1h 45m) 5MM2H Methods of Mathematics Unit 2 H Tier: Paper 1 (Calculator) (1h 45m) Slide 6 Course code 10NMB01/02

  7. Session 3 Feedback on Unit 1 issues *Spreadsheets – modelling v testing v accessibility *Flowcharts – what symbols are required? Currency calculations at F Tier Financial calculations at F tier Similar triangles at F tier *Intersecting chords – resource material *Linear programming – resource material *Sets –Venn Diagrams – prob - required notation Slide 7 Course code 10NMB01/02

  8. Session 3 Spreadsheets – initial examples were judged to be inadequate! Slide 8 Course code 10NMB01/02

  9. Session 3 1. Ronnie wants to buy some carpets. She can buy 3 types of carpets, wool, nylon and sisal. Complete the spreadsheet so that she can compare the costs of carpeting some of the rooms in her house. Training from Edexcel

  10. Session 3 Flowcharts – what symbols are required? Process Decision Start/Stop Input/Output Slide 10 Course code 10NMB01/02

  11. Session 3 Currency calculations at F Tier Financial Calculations at F tier (Personal Finance)(Index Numbers) Slide 11 Course code 10NMB01/02

  12. Session 3 Currency calculations at F Tier 5. £1 = €1.20 A watch costs £50 in the UK. The same make of watch costs €63 in France. Work out the difference between the cost in the UK and the cost in France. Give your answer in £. 9. £1 = $1.50 Jim has £4000 He wants to buy $ for a holiday. The agent will charge Jim 2% commission Work out how the largest number of $ Jim can get. Training from Edexcel

  13. Session 3 Financial Calculations at F Tier 1. Jim earns £250. He gets a wage rise of 10%. Work out his new wage. 20. Rail operators are allowed to raise fares by the cost of living index increase + 1%. In 2010, the cost of living increase was 4.5%. The fare from Bristol to London in 2010 was £120. What is the fare going to be in 2011? Training from Edexcel

  14. Session 3 Sets –Venn Diagrams – Probability - required notation F Tier – {1, 4, 7}, A′ ø, H Tier - {1, 4, 7}, A′ ø, No more than 3 sets for any Venn diagram at H tier Generally 2 sets at F Tier Slide 14 Course code 10NMB01/02

  15. 8 cm 4 cm 60o 40o 60o xo 6 cm y cm Session 3 • Similar Triangles at F tier These two triangles are similar. (a) Write down the value of x (b) Find the value of y Training from Edexcel

  16. Session 3 H Tier Intersecting chords – resource material Linear Programming – resource material Slide 16 Training from Edexcel

  17. Session 3 Compound Interest at F Tier (and H Tier) Work out the amount an investment is worth given the number of years and interest rate Use multipliers to work out appreciation and depreciation Slide 17 Training from Edexcel

  18. Session 4 New material at F Tier – Unit 2 Risk Here is some information about injuries in some sports Which sport caries the greatest risk of injury? Slide 18 Training from Edexcel

  19. Session 4 New material at F Tier – Unit 2 Training from Edexcel

  20. Session 4 Risk New material at H Tier Key idea is that of a cost – usually monetary The probability that my freezer will fail next year is 0.15 . It would cost £120 to fix it. Insurance costs £35. Should I take out insurance? Slide 20 Training from Edexcel

  21. Session4 New material at H Tier Risk Estimate of cost of breakdown = 0.15 × £120 = £18 Training from Edexcel

  22. Damage 0.005 High Wind 0.70 0.995 No damage Damage 0.04 0.30 Gale No damage 0.96 Session 4 Risk A company generates electricity from an offshoresite with wind turbines. If a high wind becomes a gale the probability of damage to the wind turbines increases. The probability of damage in a gale is 0.04. The probability of damage in a high wind is 0.005 The probability that a high wind becomes a gale is 0.3 This site has 50 high wind days each year. Work out an estimate for the number of times it will be damaged in a period of 10 years The probability tree has been used to show the structure of the problem so that the probability of damage on any high wind day can be found. The red figures have been calculated by subtraction from 1 Training from Edexcel

  23. Session 4 New material at H Tier Midpoint theorem, its converse and the intercept theorem Slide 23 Training from Edexcel

  24. Session 4 5.[A] ABCD is a rectangle. K, L, M and N are the midpoints of AB, BC, CD and DA respectively. Use the midpoint theorem to show that the quadrilateral KLMN is a parallelogram. Slide 24 Training from Edexcel

  25. Session 4 Midpoint – a bit more challenging P Y X T S Q R S and T are the midpoints of PQ and PR.QTX is a straight line with QT = TXRSY is a straight line with RS = SY Prove (i) XPY is a straight line. (ii) XY = 2QR Slide 25 Training from Edexcel

  26. Session 4 New material at H Tier – Exponential growth and decay Key idea – y =abx Key idea - compound interest formula Applied to population growth and decay, radioactivity, decay of chemicals in the body and compound interest. Slide 26 Training from Edexcel

  27. Mass (grams) 10 8 6 4 2 0 2 4 6 8 10 Time (t hours) Session 4 Exponential Growth/decay The mass, m grams, of a radioactive substance decreases exponentially as shown in this graph. Equation of graph is m = 9×0.8x (a) Work out the original mass of the substance. (b) Work out the mass of the substance after 6 hours. (c) (i) Work out the multiplier. (ii) Work out the percentage rate of decrease. Training from Edexcel

  28. Session 4New material at H Tier – gradients of curves Key Idea – the gradient of a curve at a point is equal to the gradient of the tangent to the curve at that point No Calculus! Key ideas – gradients of the d/t graph and the v/t graph as well as water tanks. Slide 28 Training from Edexcel

  29. y 100 90 80 70 60 50 40 30 20 10 O 10 20 30 40 50 60 x Session 4 Gradients 8.[A] The graph shows the distance, y m, that a car has travelled during t seconds (a) Calculate an estimate of the speed of the car at t = 20. (b) Calculate the average speed of the car between t = 10 and t = 50. Training from Edexcel

  30. Session 4 New material – Area under a curve Key idea – find an estimate for the area under a curve (the area between the curve and the x- axis) by using trapeziums to approximate the region No negative areas - use 4 or 5 trapeziums Key idea – area under a v/t graph Slide 30 Training from Edexcel

  31. Session 4 Area under a curve Velocity m/s 180 160 140 120 100 80 60 40 20 0 10 20 30 40 t 4. [A] • The graph gives information about the velocity of a particle during the first 40 seconds of its motion. • Calculate an estimate for the distance travelled during the first 40 seconds. • (b) State, with a reason, whether your answer to (a) is an overestimate or underestimate of the true distance travelled Slide 31 Training from Edexcel

  32. Session 5 Scheme of Learning F Tier Methods Slide 32 Training from Edexcel

  33. Session 5 Scheme of Learning H Tier - Methods Slide 33 Training from Edexcel

  34. Session 5 Planning and strategy Which groups/classes are following the course in your school – why this choice? What are the advantages and disadvantages? In what order are you teaching the course – why this choice? What are the advantages and disadvantages? Training from Edexcel

  35. Session 6 Resource Review Includes Methods exemplification booklet Applications exemplification booklet Matching Doc to Spec A book from Edexcel Matching Doc from St Peter’s school Book chapters in the LP book Further Practice Material. New mock papers Functional skills - common scenarios Slide 35 Training from Edexcel

  36. Session 6 Exemplification booklets Slide 36 Training from Edexcel

  37. Session 6 Excel Matching spreadsheets Edexcel matchings to the Spec A books St Peter’s matchings – skill doc showing which skills are present where Slide 37 Training from Edexcel

  38. Session 6 Book Chapters in the LP book 1 Mid-point/intersecting chord Methods Unit 2 H 2 Linear programming Apps Unit 1 H 3 Quadratic sequences Methods Unit 1 H 4 Venn diagrams Methods Unit 1 F + H 5 Probability/Venn diagrams Methods Unit 1 F + H 6 Exponential growth/decay Apps Unit 2 H 7 Area under curves Apps Unit 2 H 8 Gradients Apps Unit 2 H 9 Fin. and Bus. AER Apps Unit 1 F + H 10 Flowcharts Apps Unit 1 F + H 11 Spreadsheets Apps Unit 1 F + H 12 Time series/Moving averages Apps Unit 1 F + H 13 Prob (Risk) AppsUnit 2 F + H Slide 38 Training from Edexcel

  39. R F 19 7 6 3 Session 6 Venn diagrams Methods Unit 1 F + H 1. Some boys were asked if they played football or rugby. The Venn diagram shows this information. (a) How many boys were asked if they played football or rugby? (b) How many boys played just rugby? (c) How many boys do not play football? (d) How many boys play both rugby and football? Training from Edexcel

  40. Session 6 Probability and Venn Diagrams • (a) On a Venn diagram • showthe whole numbers from 1 to 12 • set E where E = {2, 4, 6, 8, 10, 12} • set F where F = {1, 2, 3, 4, 6, 12} • (b) A number is chosen at random from those in the Venn diagram. • Find • (i) P(E) (ii) P(F′) (iii) P(E ∩ F) (iv) P(E U F) Training from Edexcel

  41. Session 6 Further practice material Functional skills scenarios. Tiling problems – carpet and wall – area, costs, percentages, conversion of units Slide 41 Course code 10NMB01/02

  42. Session 6 Functional Skills Tiling Here is a scale drawing of Jim’s floor. Each centimetre square on the scale drawing represents 1m2 Jim wants to put carpet tiles on all his floor. Each carpet tile is 1 m2 and costs £7.99 Work out how much it will cost Jim to put carpet tiles on all his floor. Training from Edexcel

  43. 2 m 2 m 2 m 60cm 60 cm Session 6 Functional Skills Jim wants to tile this part of a wall. He wants to use square tiles with an edge of 20 cm. The tiles are sold in boxes of 10. Work out the number of boxes he will need. Training from Edexcel

  44. Session 6 Mock papers New papers more like the standard of papers to be set F Tier Applications U1 and U2 F Tier Methods U1 and U2 H Tier Applications U1 and U2 H Tier Methods U1 and U2 Slide 44 Course code 10NMB01/02

  45. Other Goodies Mixed up proofs Autograph demos Compound Int at F Training from Edexcel

  46. Mixed up proofs Here are the first 5 terms an arithmetic sequence 2 5 8 11 14 Prove that the difference between the squares of consecutive terms is always a multiple of 3. Training from Edexcel

  47. Ask the Expert Extensive consultation taught us that customers want access to experts to help with subject specific queries Ask the Expert will put customers in direct email contact with over 300 senior subject examiners and verifiers Information on all our subject experts will be made available on the Edexcel website so customers can see who they are dealing with Ask the Expert will be complemented by online subject support information and teacher forums, enabling peer-to-peer support Slide 47 Course code 10NMB01/02

  48. Results Plus Free! Especially useful for a unitised examination Slide 48 Training from Edexcel

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