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Mathematics George Edwards Cell: 0832935336 Tel:

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Presentation on theme: "Mathematics George Edwards Cell: 0832935336 Tel:"— Presentation transcript:

1 Mathematics George Edwards Cell: Tel: Fax:

2 Programme Opening and welcome Administrative arrangements Reflection December 2014 Programme of Assessment 2015 Moderation Process 2015 Portfolio Management Reporting per term Planning guide for 2015 BREAK

3 Programme Challenges for 2015 Winter and Spring Schools Learner Tutoring Teacher Tutoring Mathrocks Study Groups Dinaledi Meetings Important dates Professional Development Exercise Closure

4 Opening and welcome WatWat wil ek graag hê moes my pa vir my gesê het? What I would have liked my dad told me.

5 Administrative arrangements Attendance registerregister Data 2015 Transport claims(Z43 + S&T)TransportZ43 S&T Arrangements for the day Reflection formsReflection

6 Reflection December 2014 Analysis of results

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12 COMMENTS ON PAPER 1 Topics well answered:  Quadratic equations  Financial Maths  Sequences and Series  Differentiation from first principles and rules. Topics still problematic:  Quadratic inequalities  Sum to infinity for Geometric series  Interpretation of graphs  Inverses of functions  Applications of Calculus  Decoding of word problems  The general counting principle

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14 COMMENTS ON PAPER 2 Topics well answered:  Statistics  Basic analytical geometry. Topics still problematic  Euclidean geometry riders  Compound and double angles identities  General solution of trigonometric equations  Problems in three dimensions

15 HOMEWORK Analyse(per question) your school’s performance. Draw graphs for paper 1 & 2. Include national and WCED figures. Compile an operational plan on how your school is going to deal with the findings of the analysis. Plan must include actions/timeframes/target groups/ect. Plan to be submitted to SA by 20 February Plan to be signed by principal and HOD.

16 Programme of assessment Guidelines

17 Assessment Grades 10, 11 & 12  Time allocation  CASS tasks and weight distribution  Minimum CASS requirements  Marks distribution  Cognitive levels  Annual Assessment Plan  Exam and Test Templates  Assessment exemplars

18 TIME ALLOCATION  4½ hours per week.  Six(6) periods of 45 minutes each.  Make sure you get the time on your roster.

19 TERM GRADE 10GRADE 11GRADE 12 TASKSWEIGHT (%) TASKSWEIGHT (%) TASKSWEIGHT (%) Term 1 Project/Invest Test Project/Invest Test Test Project/Invest Assign Term 2 Test/Assign Examination Test/Assign Examination Test Examination Term 3 Test 10 Test 10 Test Examination Term 4Test 10 Test10 Programme of Assessment mark 100 Programme of Assessment mark (as % of promotion mark) 25% End-of-year examinations 75% Promotion mark 100%

20 ELECTRONIC MARKSHEET Implications of CAPS document:  Choice to record project/investigation in term 1 or 2.  Combination (25% & 75%) applies to term I or term 2.  This term weighting only applies to the term where the project/investigation is done.  Where there are three tasks in the term where the project/investigation is done, the project/investigation must contribute 25% and the other two tasks 37,5% each to the term mark.

21 The 7 Formal Assessment Tasks : Grade tests 1 project / investigation June examination Final examination Or 4 tests 1 assignment 1 project / investigation June examination Final examination

22 The 7 Formal Assessment Tasks : Grade 12 3 tests 1 assignment 1 project / investigation June examination Trial examination

23 MINIMUM CASS REQUIREMENTS GRADE  Tests should be at least ONE hour long and count at least 50 marks.  Project or investigation must contribute 25% of term 1 marks while the test marks contribute 75% of the term 1 marks. The combination (25% and 75%) of the marks must appear in the learner’s report.  Formula sheet must not be provided for tests and for final examinations in grade

24 MINIMUM CASS REQUIREMENTS GRADE  Mid-year examination:  Grade 10 : One paper of 2 hours (100 marks) OR two papers of 1 hour each (50 marks each).  Grade 11 : Paper 1 : 2 hours (100 marks made up as follows: general algebra (25+/-3);equations and inequalities (35+/-3); number patterns (15+/-3);functions (25+/-3) Paper 2 : 2 hours (100 marks made up as follows: analytical geometry (30+/-3) and trigonometry (70+/-3)  Grade 12 : Two papers of 3 hours (150 marks each) – June and Sep.

25 MINIMUM CASS REQUIREMENTS GRADE  Final examination:  Grade 10 : Two papers of 2 hours each (100 marks per paper).  Grade 11 : Two papers of 3 hours each (150 marks per paper).  Grade 12 : Two papers of 3 hours each (150 marks per paper).

26 Weighting of Content Areas : End-of-year papers

27 Weighting of Content Areas DescriptionGrade 10Grade 11Grade 12 PAPER 1 (Grades 12:bookwork: maximum 6 marks) Algebra and Equations (and inequalities) 30 ± 345 ± 325 ± 3 Patterns and Sequences15 ± 325 ± 3 Finance, growth and decay 10 ± 3 (not decay) 15 ± 3 Functions and Graphs30 ± 345 ± 335 ± 3 Differential Calculus35 ± 3 Probability15 ± 3 20 ± 315 ± 3 TOTAL

28 Weighting of Content Areas DescriptionGrade 10Grade 11Grade. 12 PAPER 2: Gr 11 and 12: theorems and/or trigonometric proofs: maximum 12 marks Statistics15 ± 320 ± 3 Analytical Geometry15 ± 330 ± 340 ± 3 Trigonometry40 ± 350 ± 340 ± 3 Euclidean Geometry and Measurement 30 ± 350 ± 3 TOTAL100150

29 Bookwork  Grade 12 o Paper 1 – maximum 6 marks o Paper 2 – Theorems and/or trigonometric proofs – maximum 12 marks  Grade 11 o Paper 2 - Theorems and/or trigonometric proofs – maximum 12 marks  Grade 10 o No bookwork

30 Cognitive levels for Grade Knowledge20% Routine Procedures35% Complex Procedures30% Problem Solving15%

31 Knowledge (20%)  Straight recall.  Identification of correct formula on the information sheet(no changing of the subject).  Use of mathematical facts.  Appropriate use of mathematical vocabulary.

32 Routine Procedures (35%)  Estimation and appropriate rounding of numbers.  Proofs of prescribed theorems and derivation of formulae.  Identification and direct use of correct formula on the information sheet(no changing of the subjects).  Perform well known procedures.  Simple applications and calculations which might involve few steps.  Derivation from given information may be involved.  Identification and use (after changing the subject) of correct formula.  Generally similar to those encountered in class.

33 Complex Procedures (30%)  Problems involve complex calculations and/or higher order reasoning.  There is often not an obvious route to the solution.  Problems need not be based on a real world context.  Could involve making significant connections between different representations.  Require conceptual understanding.

34 Problem Solving (15%)  Non-routine problems (which are not necessarily difficult).  Higher order reasoning and processes are involved.  Might require the ability to break the problem down into its constituent parts.

35 Annual Assessment Plan Annual Assessment Plan should be given to learners at beginning of year. Include dates, task, maximum mark

36 Exam and Test Templates  End of year exam  Grade 10 Grade 10  Grade 11Grade 11  Grade 12Grade 12  Tests  Grade 10 Grade 10  Grade 11Grade 11  Grade 12 Grade 12  End of year exam  Grade 10 Grade 10  Grade 11Grade 11  Grade 12Grade 12  Tests  Grade 10 Grade 10  Grade 11Grade 11  Grade 12 Grade 12

37 Assessment Exemplars PLEASE VISIT MY WEBSITE. PLEASE DONATE TESTS, EXAMS, ECT FOR PUBLICATION ON THE WEBSITE

38 Moderation : 2015 Internal Moderation Curriculum Adviser: First Round Curriculum Adviser : Final Moderation and Verification:

39 HOD(or subject head) if HOD not subject specialist Moderation of tasks and assessment tools BEFORE task is given to learners Moderation of completed tasks of learners – 10% Record the moderated tasks (Names & Marks) Please record on electronic sheets. Moderation of the recorded marks Content page by teacherContent page Report by CAReport INTERNAL MODERATION

40 Moderation: What to look for? Duration, length Weighting of content Weighting of cognitive levels Language – mathematical vs layman Use of pictures, diagrams, graphs to facilitate language Technical care : Typed; Same font; NO copy and paste. Memoranda : Neatness; marks allocation; explanation for marks given. Instrument to be used.

41 Moderation School: Internal Moderation Teacher portfolio and sample of learner performance – twice a year by Subject Head District: Curriculum Adviser / HO Teacher portfolio and sample of learner performance – twice during year Provincial: UmalusiOnce per year WILL HAPPEN IN Schools will once again be selected Cluster moderation

42 Provincial Moderation 2014 REPORT REPORT

43 Moderation of Exam Papers Second term : Gr Third term : Gr Fourth term : Gr. 9 & 11 Schools will be selected. Deadlines to be met. Exam/test templates to be used and submitted as well– not negiotable. Format of memo.

44 Portfolio Management Subject Recource File Teacher Portfolio Learner Portfolio

45 Important documents: Subject Resource File Standard Setting notes Grade : CAPS document Work schedules/Pace setters planned daily Plan of Assessment Circulars Exemplar Tasks, Exemplar Papers

46 Important documents: Educators’ Portfolio What should be in the teacher’s file? - policy documents (3 documents) - personal time-table - work schedule (micro plan – that is daily) - OED teacher training programme and register of attendance - record of textbooks issued to learners - assessment plan - assessment tasks and tools - mark sheets - targets for each grade (March, Jul, Sep, Dec) - analysis of results - intervention strategies

47 POLICY DOCUMENTS  National Curriculum and Assessment Policy Statement (CAPS) for Mathematics (also available in Afrikaans)CAPS  National Policy pertaining to the Programme and Promotion requirements of the National Curriculum Statements Grades R – 12(NPR). National Policy pertaining to the Programme and Promotion requirements  National Protocol for Assessment Grades R – 12(NPA). National Protocol for Assessment Grades R – 12(NPA).  All these documents available on

48 Learner Evidence of Performance Cover page Table of content( Afr. or Eng ) Assessment Tasks per Term (clearly indicated) Statement of Authenticity (signed by learner)

49 Reporting per term TERM 1TERM 2TERM 3TERM 4 G R A D E 10 & 11 Invest/ProjTestAssign/TestExamTest 25%75%50% Will be added to Final CASS mark CASS 20 & 10 CASS 10 & 30 CASS 10&10 CASS 10

50 TERM 1TERM 2TERM 3TERM 4 G R A D E 12 Assignment (Can be test as well) Invest/ Project Test ExamTestTrial Exam Year mark External Exam 37,5%25%37,5%50% 25%75% Reporting per term(Option 1)

51 TERM 1TERM 2TERM 3TERM 4 G R A D E 12 Assignment (Can be test as well) TestProject/ Invest TestExamTestTrial Exam Year mark External Exam 50% 25%37,5% 50% 25%75% Reporting per term(Option 2)

52 FINAL MARK Year markExternal Exam 25%75%

53 Planning for 2015 Work schedule 2015:  Grade 10Grade 10  Grade 11 Grade 11  Grade 12 Grade 12  Textbooks: X-Factor ; Die Antwoordreeks

54 Planning for 2015 Daily Lesson Plan Daily Lesson Plan Daily Preparation Book Learner’s Book

55 BREAK/POUSE

56 Challenges for 2015 Content knowledge Teaching methodology Quality test/exam papers Quality memoranda Quality of passes Attracting learners to the subject and retaining learners within the subject

57 Winter and Spring Schools Compulsary for certain schools Tutors from neighbouring schools to be appointed. Tutoring sessions will be monitored by CA. Challenge : Shortage of tutors/slow payment.

58 LEARNER TUTORING  Selected schools who want to participate.  Programme : CA plus School  Attendance register.  Subject teacher MUST attend.  Available for grade depending on availability of suitable tutors.

59 TEACHER TUTORING GR  Paper 1 content workshop – Saturday 18 April.  Paper 2 content workshop – Saturday 6 June.

60 LEARNER TUTORING  Grade 12 SoE – Saturday 30 May.  Grade 12 SoE – Saturday 29 August.

61 MATHROCKS (grade 8-10)  Aim:  To incorporate materials used in Mathrocks into regular classroom curriculum.  Learners to learn problem-solving techniques.  Learners to develop critical thinking skills.  Participation in Mathrocks to be a challenging and fun experience.

62 MATHROCKS Competition date 25 August 2015

63 MATHROCKS  Participants:  Learners in grade 8, 9 and 10.  Learners may participate individually, in pairs or as teams of 4.  Preparation rounds.  School’s competition

64  Disadvantaged learners.  Selection criteria:  70% ave. end of grade 11 (LO excluded)  70% for Maths and/or Physical Science and/or Life Sciences and/or Accounting.  Want to study at US.  One week classes in April, June and September holidays.

65 STUDY GROUPS  Instruction from WCED.  Appointment of Study Group Leaders.  One study group per circuit (that’s is the dream).  Needs analysis – what do you as teacher need?  Meet at least once per term.  Each study group will draw up its own programme for the year.  CA to visit on invitation.  Quarterly reports to be submitted by leader.

66 DINALEDI SCHOOLS  Hermanus HS (Ms Mariaan Viljoen); Overberg HS (Ms Erica Smith); Bredasdorp HS (Ms Carina Blom); De Villiers Graaff HS (Ms D Prins); Gansbaai Academia.  One meeting per term. All maths, physical and life sciences teachers to attend.  Dinaledi teachers as IT Champions in circuits.  Correct application of hardware/software.  Support to other schools in area/circuit.

67 DINALEDI SCHOOLS  Meeting dates(M&S meetings)  Tuesday 3 February – Overberg HS  Tuesday 21 April – Bredasdorp HS  Wednesday 19 August – Gansbaai Academia/Hermanus HS

68 IMPORTANT DATES  14 February GET Standard Setting.  14 March LAC Colloquium.

69 Professional Development Exercise

70 THANK YOU! DANKIE! ENKOSI!


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