Mathematics George Edwards Cell: 0832935336 Tel: 028-2147343 Fax:086-5514045 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. George.Edwards@westerncape.gov.za www.edwardsmaths.com @georgeedwards99

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

Programme Challenges for 2015 Winter and Spring Schools Learner Tutoring Teacher Tutoring Mathrocks Hope@Maties Study Groups Dinaledi Meetings Important dates Professional Development Exercise Closure Oorweeg watter inhoud vir opleiding? Dalk gr 11 & 12 meetkunde.

Opening and welcome Wat 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.

Administrative arrangements Attendance register Data 2015 Transport claims(Z43 + S&T) Arrangements for the day Reflection forms

Reflection December 2014 Analysis of results

Gee huiswerk aan onderwysers

COMMENTS ON PAPER 1 Topics well answered: Topics still problematic: 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

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

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.

Programme of assessment 2015 - Guidelines

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

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

TERM GRADE 10 GRADE 11 GRADE 12 TASKS WEIGHT (%) Term 1 Project/Invest Test 20 10 Project/Invest Test Assign Term 2 Test/Assign Examination 30 15 Term 3 25 Term 4 Programme of Assessment mark 100 Programme of Assessment mark (as % of promotion mark) 25% End-of-year examinations 75% Promotion mark 100%

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.

The 7 Formal Assessment Tasks : Grade 10-11 5 tests 1 project / investigation June examination Final examination Or 4 tests 1 assignment

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

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 10-11.

MINIMUM CASS REQUIREMENTS GRADE 10-12 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.

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).

Weighting of Content Areas : End-of-year papers

Weighting of Content Areas Description Grade 10 Grade 11 Grade 12 PAPER 1 (Grades 12:bookwork: maximum 6 marks) Algebra and Equations (and inequalities) 30 ± 3 45 ± 3 25 ± 3 Patterns and Sequences 15 ± 3 Finance, growth and decay 10 ± 3 (not decay) Functions and Graphs 35 ± 3 Differential Calculus Probability 20 ± 3 TOTAL 100 150 Weighting of Content Areas

Weighting of Content Areas Description Grade 10 Grade 11 Grade. 12 PAPER 2: Gr 11 and 12: theorems and/or trigonometric proofs: maximum 12 marks Statistics 15 ± 3 20 ± 3 Analytical Geometry 30 ± 3 40 ± 3 Trigonometry 50 ± 3 Euclidean Geometry and Measurement TOTAL 100 150 Weighting of Content Areas

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

Cognitive levels for Grade 10-12 Knowledge 20% Routine Procedures 35% Complex Procedures 30% Problem Solving 15%

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.

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.

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.

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.

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

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

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

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

INTERNAL MODERATION 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 teacher Report by CA

Moderation: What to look for? Instrument to be used. 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. Hyperlink.

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: Umalusi Once per year WILL HAPPEN IN 2015. Schools will once again be selected Cluster moderation

Provincial Moderation 2014 REPORT

Moderation of Exam Papers Second term : Gr. 8 -12 Third term : Gr. 8 -12 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.

Portfolio Management Subject Recource File Teacher Portfolio Learner Portfolio

Important documents: Subject Resource File Standard Setting notes Grade 10 -12 : CAPS document Work schedules/Pace setters planned daily Plan of Assessment Circulars Exemplar Tasks, Exemplar Papers Maak folder wat al hierdie bevat.

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

POLICY DOCUMENTS National 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 www.edwardsmaths.com

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

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

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

Reporting per term(Option 2) A D E 12 Assignment (Can be test as well) Test Project/ Invest Exam Trial Year mark External 50% 25% 37,5% 75% Hyperlink na voorlopige elektroniese blad

FINAL MARK Year mark External Exam 25% 75%

Planning for 2015 Work schedule 2015: Grade 10 Grade 11 Grade 12 Textbooks: X-Factor ; Die Antwoordreeks Oorhandig kopieë van X-Faktor

Daily Lesson Plan Daily Preparation Book Learner’s Book Planning for 2015 Daily Lesson Plan Daily Preparation Book Learner’s Book Wys een van die werkskedules

BREAK/POUSE

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

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.

LEARNER TUTORING Selected schools who want to participate. Programme : CA plus School Attendance register. Subject teacher MUST attend. Available for grade 10-12 depending on availability of suitable tutors.

TEACHER TUTORING GR 10 - 12 Paper 1 content workshop – Saturday 18 April. Paper 2 content workshop – Saturday 6 June.

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

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.

MATHROCKS Competition date 25 August 2015

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

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.

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.

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.

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

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

Professional Development Exercise

THANK YOU! DANKIE! ENKOSI!