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Secondary Maths – GCSE Foundation Update

This session covers changes to content and exam structure in the Maths GCSE, new teaching strategies, examination entries, grading system, and assessment objectives.

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Secondary Maths – GCSE Foundation Update

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  1. Secondary Maths– GCSE Foundation Update 29th June 2016

  2. Aims of this session • Changes to general content and exam structure. • New Content at Foundation • Teaching strategies for content

  3. Changes to the Maths GCSE • More rules around examination entries • More papers to sit • New Grading System • Changes to type of content • New Assessment objectives • It’s bigger - More content in both tiers • More formulae for students to remember for exams

  4. Examination entries • From November 2014, entries for GCSE Mathematics will be restricted to re- take candidates (Ofqual, March 2014). • Retake candidates can still resit current GCSE in November 2016 and now June 2017 – Only available to re-take candidates. • Each student who takes an examination during the month of November (from November 2017) must have reached at least the age of 16 on or before 31 August in the same calendar year as the assessment (Ofqual, May 2014). • The only mathematics qualification that will count in the 2017 secondary school performance tables will be the reformed GCSE (9–1) Mathematics qualifications for first examination in summer 2017 (Department for Education, July 2014).

  5. How it will be assessed? Edexcel AQA OCR Content from any of the specification may be assessed in each paper.

  6. Grading system Grade 5 will be positioned in the top third of the marks for a current grade C and in the bottom third of the marks for a current grade B. This will mean it will be more demanding than the present grade C.

  7. Grading system

  8. Changes to content 28% 35% 20% 17% As defined by Ofqual

  9. Assessment objective Current GCSE 45-55% Current GCSE 25-35% Current GCSE 15-25%

  10. Some examples of AO2 and AO3 • Thoughts? • What are the differences? • How do you think your students will find them? To equip students with problem solving skills to be able to tackle AO3 more effectively use: Gold, Silver, Bronze resource

  11. Opportunity to look at new content specification

  12. Main new topics to both • Use inequality notation to specify simple error intervals • Identify and interpret roots, intercepts, turning points of quadratic functions graphically; deduce roots algebraically • Fibonacci type sequences, quadratic sequences, geometric progression • Relate ratios to linear functions • Interpret the gradient of a straight line graph as a rate of change • Know the exact values of sin θ and cos θ for θ = 0°, 30°, 45°, 60° and 90°; know the exact value of tan θ for θ = 0°, 30°, 45° and 60° • Frequency trees

  13. Main new topics down from higher • Index laws: zero and negative powers (numeric and algebraic) • Standard form • Compound interest and reverse percentages • Direct and indirect proportion (numeric and algebraic) • Expand the product of two linear expressions • Factorise quadratic expressions in the form (inc. DOTS) • Solve linear/linear simultaneous equations • Solve quadratic equations by factorisation • Plot cubic and reciprocal graphs, recognise quadratic and cubic graphs • Trigonometric ratios in 2D right-angled triangles • Fractional scale enlargements in transformations • Lengths of arcs and areas of sectors of circles • Mensuration problems • Vectors (except geometric problems/proofs) • Density & Pressure • Tree diagrams PDF version of spec with foundation highlighted

  14. Topics no longer in foundation specification • Writing numbers in words and from words • Trial and improvement • Tessellations • Use isometric grids • Imperial units of measure • Questionnaires • 3D coordinates

  15. New formulae to learn • Pythagoras’ Theorem • Trigonometry formulae – SOHCAHTOA only • Trigonometry special values – e.g sin 30 = 0.5 • Area of trapezium • Volume of a prism • Compound interest? • Density & Pressure

  16. Formulae given • Curved surface area of a cone • Surface area of a sphere • Volume of a sphere • Volume of a cone

  17. Teaching Ideas • Spread topics carefully over Yr 10 and 11 • Expanding double brackets • (m + 4) (m + 3) • Compound interest – using the % button! • £500 at 2% compound interest for 3 years.

  18. SOHCAHTOA triangles

  19. Trick for remembering? 45 30 cos 0 60 45 60 90 30 90 tan 0 = 0 tan 30 = tan 45 = 1 tan 60 = 0 sin 2 2 2 2 2

  20. Teaching Ideas • Density & Pressure • Factorise quadratics M D V F P A Product Product Product 12 18 20 7 11 12 Sum Sum Sum

  21. Teaching Ideas • Parallel lines - Simultaneous graphs for approximate solutions – Desmos • Number machines • Solving equations • Re-arranging formulae • Finding theta • Start every lesson with number work (50%!)

  22. Links • Edexcel Videos and resources for some new topics: • https://qualifications.pearson.com/en/qualifications/edexcel-gcses/mathematics-2015/teaching-support/training-events.html • Resources and CPD for those working with students resitting GCSE Maths: • https://www.ncetm.org.uk/resources/38831 • Free graphing software – www.desmos.com • Maths emporium, free for all teachers: • www.edexcelmaths.com

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