overberg education district mathematics george edwards cell: 083 2935336 tel: 028-2147343 fax: 086...

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Overberg Education Overberg Education District District Mathematics Mathematics George Edwards George Edwards Cell Cell : 083 2935336 : 083 2935336 Tel: 028-2147343 Tel: 028-2147343 Fax: 086 5514045 Fax: 086 5514045 [email protected] [email protected] www.edwardsmaths.com @georgeedwards99 Michael Fortuin Cell: 073 7068308 Tel: 028 2147335 Fax: 028 2147400 [email protected] a

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Page 1: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Overberg Education Overberg Education DistrictDistrict

MathematicsMathematicsGeorge EdwardsGeorge EdwardsCellCell: 083 2935336: 083 2935336Tel: 028-2147343Tel: 028-2147343Fax: 086 5514045Fax: 086 5514045

[email protected]@westerncape.gov.zazawww.edwardsmaths.com@georgeedwards99

Michael FortuinCell: 073 7068308Tel: 028 2147335Fax: 028 2147400

[email protected]

Page 2: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

MATHEMATICS GRADE 8-9

STANDARD SETTING : 14 February 2015

Page 3: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Programme• Opening and welcome• Administrative arrangements• Reflection November 2014 Grade

8-9 /ANA’s/Systemic Tests• Programme of Assessment 2015• Moderation Process 2015• Portfolio Management

Page 4: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Programme

• Planning Guide for 2015• Challenges within Mathematics• Teacher tutoring• Mathrocks• Study Groups• Professional development exercise• Closure

Page 5: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Opening and welcome

SIMPLE LITTLE TEST•You are competing in a race, and overtake the runner lying in second place. In which position are you now?

Page 6: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

SIMPLE LITTLE TEST

•If you overtake the last runner, what position are you now?

Page 7: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

SIMPLE LITTLE TEST

•Take 1000. Add 40. Add another 1000. Add 30. Add 1000 again. Plus 20. Plus 1000. And plus 10. What is the total?

Page 8: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

SIMPLE LITTLE TEST•Mary’s father has five daughters:•1. Chacha•2. Cheche•3. Chichi•4. Chocho•5. ?????????What is the 5th daughter’s name?

Page 9: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Administrative arrangements

• Attendance register• Database• Transport claims(S&T ; Z43(1);Z43(2))• Reflection forms

Page 10: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Focus 2015

• Focus on class room visits – to support and advise

• Focus on Senior Phase• Teachers to indicate interventions for

learners who have been progressed due to age and retention norm(grade 9)

Page 11: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

• Moderation of question papers before assessment takes place.

• Analysis of marks after assessment has been done to determine trends.

• Question analysis of papers and controlled test.

• Memorandum discussion of tests and exams where more than one teacher teaches subject in school – before marking starts.

Page 12: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Reflection November 2014 Grade 8-9

Grade 9 Results

Page 13: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

ANA’s Results 2014

Page 14: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

WCED SYSTEMIC TESTS

Page 15: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Programme of assessment 2015 – Guidelines

Page 16: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

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

Page 17: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Forms of assessment

Minimum requirements per termNumber of tasks per year

Weighting

Term 1 Term 2 Term 3 Term 4

SBA

Test 1 1 1 3

40%

Examination 1 1

Assignment 1 1 1 3

Investigation

1 1 2

Project 1 1

TOTAL 2 3 3 2 10

End of year exam

1 60%

Minimum requirements for formal assessment : Senior Phase Mathematics

Page 18: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

18

SBA REQUIREMENTS: GR 8 & 9

FORM OF ASSESSMENT

NUMBER LENGTH/ MARKS TIME

TEST 3 50 marks 1 hour (min)

EXAM 1Two papers of 50 marks

OR

One paper of 100 marks

2 x 1 hour papers

OR

1 x 2 hour paper

ASSIGNMENT 3 At least 50 marks One period or longer

PROJECT 1 At least 50 marks± 1 week (if longer,

monitor process with due date)

INVESTIGATION 2 At least 50 marksOne period or longer

(monitor process)

Page 19: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Number, operation

s and relations

Patterns, functions

and algebra

GeometryMeasureme

ntData

Total

mark

% Mark % Mark % Mark % Mark % Mark

Gr 8 25 25 30 30 25 25 10 10 10 10 100

Gr 9 15 23 35 52 30 45 10 15 10 15 150

Final end of year examination – Option 1

Page 20: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

PAPER 1

Number, operations and relations

Patterns, functions and algebra

Total mark

% Mark % Mark

Gr 8 25 50 30 60 110

Gr 9 15 30 35 70 100

Final end of year examination – Option 2

Page 21: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

PAPER 2

Geometry Measurement DataTotal mark

% Mark % Mark % Mark

Gr 8 25 50 10 20 10 20 90

Gr 9 30 60 10 20 10 20 100

Final end of year examination – Option 2

Page 22: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

REPORTING PER TERM

Formal assessment

task

Weight per term

Formal assessment

task

Weight per term

Term 1 Assignment 40% Test 60%

Term 2Test &

Investigation40% Exam 60%

Term 3Assignment &

project40% Test 60%

Term 4 Assignment & Investigation

SBA(each SBA task = 10%)

40% Final Exam 60%

Page 23: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Cognitive levels : Grade 8-9

Knowledge

25%

Routine procedures

45%

Complex procedures

20%

Problem solving

10%

Page 24: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Exam Setting Templates

Grade 8

Grade 9

Page 25: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Projects

• A project in the context of Mathematics is a task in which learners are provided with an opportunity to apply mathematical knowledge to contexts outside of mathematics.

• The mathematical knowledge applied should be relevant to the grade of the learners (there should be a clear difference between a grade 10 and 12 project)

• A project must be well-structured with clear criteria for assessment.

• Constant monitoring and support should be provided to learners throughout the duration of the task.

• Time allocation should be reasonable but not too long.• A rubric is suitable to assess a project.

Page 26: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

TESTS Tests should adhere to the

following:

Completed by all classes in the same grade on the same day. All learners write the same test. Completed under exam conditions. Questions must comply with year-end exam standards. More than one teacher, reach agreement on scope, date and

time of test. The mark allocation for a one-hour test is at least 50 marks.

Page 27: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Assignments• An assignment in the context of Mathematics is

intended to provide the learners with an opportunity to consolidate what has been learnt in class.

• Such structured and controlled revision should prepare learners for tests and examinations.

• It follows therefore that there should be a direct relationship in the scope of an assignment and that of a test or examination it precedes.

• While the teacher may allocate classroom time and supervise the completion of an assignment, the learner could also complete parts of an assignment in his or her own time.

Page 28: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Investigations• In the context of Mathematics an investigation is

a structured task in which learners are carefully guided towards the discovery of mathematical relationships/trends. These relationships include theorems, conjectures, graphs, patterns, etc.

• It must be stated clearly that “the mathematics” being investigated by the learners must be appropriate to their grade.

• A rubric is most suitable for these kinds of tasks.

Page 29: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Moderation : 2015

•Internal Moderation

•Curriculum Adviser : First Round

•Curriculum Adviser : Final Moderation and Verification

Page 30: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

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

Page 31: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

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.

Page 32: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

ModerationSchool:

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

MIGHT HAPPEN IN 2014

Cluster moderation

Cluster moderation

Page 33: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Provincial Moderation 2014

REPORT

Page 34: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

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.

Page 35: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Portfolio Management

• Subject Resource File

• Teacher portfolio

• Learner portfolio

Page 36: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Important documents: Subject Resource File

• Standard Setting notes• Grade 8-9: CAPS document• Subject Framework• Work schedules/Pace setters• Plan of Assessment• Circulars• Exemplar Tasks, Exemplar Papers

Page 37: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Important documents: Educators’ PortfolioWhat should be in the teacher’s file?

- policy documents (3 documents)- personal time-table- work schedule (micro plan – that is daily)- 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

Page 38: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

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

Page 39: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Learner Evidence of Performance

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

learner)

Page 40: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Planning for 2015

Work Schedule 2015Grade 8Grade 9

Page 41: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Planning for 2015

EXAMPLE:•Villiersdorp SS

Page 42: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Planning for 2015

Daily Lesson Plan

Daily Preparation Book

Learner’s Book

Page 43: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Planning for 2015

TEACHER 911

http://www.teacher911.co.za/

Example : Grade 9 Control Test

Page 44: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Planning for 2015

WISKUNDE DRIL OEFENINGEMATHS TRAINING

GRADE 8 & 9

MONICA LLOYD082 7477706

[email protected]

Page 45: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

BREAK/POUSE

Page 46: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Challenges for 2015• Content knowledge• Teaching methodology • Planning• Quality of passes• Attracting learners to the subject and retaining learners

within the subject for grade 10• ANA’s improvement• WCED systemic tests improvement• Gr 8 Baseline tests-pilot

Page 47: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

LEARNER TUTORING

• Budget approval• Grade 8 & 9 depending on availability and

suitabality of tutors• Selected schools• Rationale:More learners grade 10• Attendance register• Subject teacher MUST attend

Page 48: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Teacher Tutoring 2015Training for grade 8 & 9 teachers in 2015 :

•14 April – Caledon•15 April – Hermanus•16 April – Swellendam•21 July – Caledon•22 July – Hermanus•23 July – Swellendam•11 Aug – Caledon•12 Aug – Hermanus•13 Aug - Swellendam

Page 49: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Teacher Tutoring 2015Training for grade 8 & 9 teachers in 2015 :

AHEC

•Info sheet•Expression of Interest

Page 50: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

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.

Page 51: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

MATHROCKS

Competition date

26 August 2015

Page 52: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

MATHROCKS

Participants: Learners in grade 8, 9 and 10. Learners may participate individually, in

pairs or as teams of 4.

Page 53: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

STUDY GROUPS Instruction from WCED. Appointment of Study Group Leaders. One study group per circuit. Needs analysis. 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.

Page 54: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

IMPORTANT DATES

14 March LAC Colloquium(Language across the curriculum)

Page 55: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Professional Development Exercise

Grade 9 Topics

Page 56: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Professional Development Exercise

Topics completed

Term 1

Whole numbers

4,5 hours

Integers

4,5 hours

Common

fractions

4,5 hours

Decimal fractions

4,5 hours

Exponents

5 hours

Numeric and

geometric patterns4,5 hours

Functions and

relationships

4 hours

Algebraic expression

s4,5 hours

Algebraic equations4 hours

Page 57: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Professional Development Exercise

Topics completed

Term 2

Constructions9 hours

Geometry of straight lines9 hours

Geometry of 2D shapes9 hours

Pythagoras5 hours

Page 58: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Professional Development Exercise

Topics for today

Term 3

Perimeter and area of

2D shapes5 hours

Functions and

relationships

5 hours

Algebraic expressio

ns9 hours

Algebraic equations9 hours

Graphs12 hours

Surface area and

volume of 3D objects5 hours

Transformations

9 hours

Page 59: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

Professional Development Exercise

Topics for today

Term 4

Geometry of 3D objects.

9 hours

Collect, organise and summarise data(4 hours)Represent data(3 hours)

Interpret, analyse and report data(3,5 hours)

Probability4,5 uur

Page 60: Overberg Education District Mathematics George Edwards Cell: 083 2935336 Tel: 028-2147343 Fax: 086 5514045 George.Edwards@westerncape.gov.za

THANK YOU!

DANKIE!

ENKOSI!