Presentation on theme: "Mathematics George Edwards"— Presentation transcript:
1 Mathematics George Edwards Cell: Tel: Fax:Opleiding: Opstel van vraestelle; Verdeel in groepe: Grade 10, 11 en 12 apart.Laptops moet saamkom. Handboeke saam.Twee persone per groep.Stel vraestel 1 op volgens template. Voltooi templaat; Voltooi memo; Memo met verduidelikings.Vraestel word getik. Memo word getik.@georgeedwards99
2 Programme Opening and welcome Administrative arrangements Reflection December 2014Programme of Assessment 2015Moderation Process 2015Portfolio ManagementReporting per termPlanning guide for 2015BREAK
3 Programme Challenges for 2015 Winter and Spring Schools Learner TutoringTeacher TutoringMathrocksStudy GroupsDinaledi MeetingsImportant datesProfessional Development ExerciseClosureOorweeg watter inhoud vir opleiding? Dalk gr 11 & 12 meetkunde.
4 Opening and welcomeWat wil ek graag hê moes my pa vir my gesê het? What I would have liked my dad told me.Voeg ‘n geestelike stuk hierin.
5 Administrative arrangements Attendance registerData 2015Transport claims(Z43 + S&T)Arrangements for the dayReflection forms
12 COMMENTS ON PAPER 1 Topics well answered: Topics still problematic: Quadratic equationsFinancial MathsSequences and SeriesDifferentiation from first principles and rules.Topics still problematic:Quadratic inequalitiesSum to infinity for Geometric seriesInterpretation of graphsInverses of functionsApplications of CalculusDecoding of word problemsThe general counting principle
14 COMMENTS ON PAPER 2 Topics well answered: Topics still problematic StatisticsBasic analytical geometry.Topics still problematicEuclidean geometry ridersCompound and double angles identitiesGeneral solution of trigonometric equationsProblems 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 2015.Plan to be signed by principal and HOD.
17 Assessment Grades 10, 11 & 12 Time allocation CASS tasks and weight distributionMinimum CASS requirementsMarks distributionCognitive levelsAnnual Assessment PlanExam and Test TemplatesAssessment 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 10 GRADE 11 GRADE 12 TASKS WEIGHT (%) Term 1 Project/Invest Test2010Project/InvestTestAssignTerm 2Test/AssignExamination3015Term 325Term 4Programme of Assessment mark100Programme of Assessment mark (as % of promotion mark)25%End-of-year examinations75%Promotion mark100%
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.
23 MINIMUM CASS REQUIREMENTS GRADE 10-12 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 10-12 Mid-year examination:Grade 10 : One paper of 2 hours (100 marks) OR two papers of 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 10-12 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 12PAPER 1 (Grades 12:bookwork: maximum 6 marks)Algebra and Equations (and inequalities)30 ± 345 ± 325 ± 3Patterns and Sequences15 ± 3Finance, growth and decay10 ± 3(not decay)Functions and Graphs35 ± 3Differential CalculusProbability20 ± 3TOTAL100150Weighting of Content Areas
28 Weighting of Content Areas DescriptionGrade 10Grade 11Grade. 12PAPER 2: Gr 11 and 12: theorems and/or trigonometric proofs: maximum 12 marksStatistics15 ± 320 ± 3Analytical Geometry30 ± 340 ± 3Trigonometry50 ± 3Euclidean Geometry and MeasurementTOTAL100150Weighting of Content Areas
29 Bookwork Grade 12 Paper 1 – maximum 6 marks Paper 2 – Theorems and/or trigonometric proofs – maximum 12 marksGrade 11Paper 2 - Theorems and/or trigonometric proofs – maximum 12 marksGrade 10No bookwork
30 Cognitive levels for Grade 10-12 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 examGrade 10Grade 11Grade 12Tests
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 INTERNAL MODERATION HOD(or subject head) if HOD not subject specialist Moderation of tasks and assessment tools BEFORE task is given to learnersModeration of completed tasks of learners – 10%Record the moderated tasks (Names & Marks)Please record on electronic sheets.Moderation of the recorded marksContent page by teacherReport by CA
40 Moderation: What to look for? Instrument to be used.Duration, lengthWeighting of contentWeighting of cognitive levelsLanguage – mathematical vs laymanUse of pictures, diagrams, graphs to facilitate languageTechnical care : Typed; Same font; NO copy and paste.Memoranda : Neatness; marks allocation; explanation for marks given.Hyperlink.
41 Moderation School: Internal Moderation Teacher portfolio and sample of learner performance – twice a year by Subject HeadDistrict:Curriculum Adviser / HOTeacher portfolio and sample of learner performance – twice during yearProvincial: UmalusiOnce per yearWILL HAPPEN IN 2015.Schools will once again be selectedCluster moderation
43 Moderation of Exam Papers Second term : GrThird term : GrFourth term : Gr. 9 & 11Schools will be selected.Deadlines to be met.Exam/test templates to be used and submitted as well– not negiotable.Format of memo.
45 Important documents: Subject Resource File Standard Setting notesGrade : CAPS documentWork schedules/Pace setters planned dailyPlan of AssessmentCircularsExemplar Tasks, Exemplar PapersMaak folder wat al hierdie bevat.
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 DOCUMENTSNational Curriculum and Assessment Policy Statement (CAPS) for Mathematics (also available in Afrikaans)National Policy pertaining to the Programme and Promotion requirements of the National Curriculum Statements Grades R – 12(NPR).National Protocol for Assessment Grades R – 12(NPA).All these documents available on
48 Learner Evidence of Performance Cover pageTable of content( Afr. or Eng )Assessment Tasks per Term(clearly indicated)Statement of Authenticity (signed by learner)
49 Will be added to Final CASS mark Reporting per termTERM 1TERM 2TERM 3TERM 4GRADE10&11Invest/ProjTestAssign/TestExam25%75%50%Will be added to Final CASS markCASS 10 & 30CASS 10&10CASS 20 & 10CASS 10
50 Reporting per term(Option 1) ADE12Assignment(Can be test as well)Invest/ProjectTestExamTrialYear markExternal37,5%25%50%75%
51 Reporting per term(Option 2) ADE12Assignment(Can be test as well)TestProject/InvestExamTrialYear markExternal50%25%37,5%75%Hyperlink na voorlopige elektroniese blad
56 Challenges for 2015 Content knowledge Teaching methodology Quality test/exam papersQuality memorandaQuality of passesAttracting learners to the subject and retaining learners within the subject
57 Winter and Spring Schools Compulsary for certain schoolsTutors 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 SchoolAttendance register.Subject teacher MUST attend.Available for grade depending on availability of suitable tutors.
60 Grade 12 SoE – Saturday 30 May. Grade 12 SoE – Saturday 29 August. LEARNER TUTORINGGrade 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.
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 HOPE@MATIES 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 SCHOOLSHermanus 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 HSTuesday 21 April – Bredasdorp HSWednesday 19 August – Gansbaai Academia/Hermanus HS
68 IMPORTANT DATES 14 February GET Standard Setting. 14 March LAC Colloquium.