[PDF] CURRICULUM AND ASSESSMENT POLICY STATEMENT (CAPS) FOUNDATION

Annexe MATHÉMATIQUES - SCIENCES PHYSIQUES ET CHIMIQUES I

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CURRICULUM AND ASSESSMENT POLICY STATEMENT (CAPS) FOUNDATION

2 8 1 Grade R daily programme 13 2 9 Recommended Resources 14 Chapter 3 3 1 Introduction 15 3 2 Content Specification 15 3 2 1 Foundation Phase (Grade R to 3) Overview 15 Number, Operations and Relationships 16 Patterns, Functions and Algebra 21

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Curriculum and Assessment Policy Statement SOCIAL SCIENCES

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CURRICULUM AND ASSESSMENT POLICY STATEMENT

(CAPS)

FOUNDATION PHASE

MATHEMATICS GRADES R 3

1

TABLE OF CONTENTS

Chapter

1 Background 2

Chapter

2

2.1. Introduction 6

2.2. What is Mathematics? 6

2.3. Specific Aims 6

2.4. Specific Skills 6

2.5. Focus of Content Areas 7

2.6. Weighting of Content Areas 8

2.7. Mathematics in the Foundation Phase 8

2.7.1. Suggested guidelines for classroom management 8

2.7.2. Learners with barriers to learning Mathematics 10

2.7.3. Mental mathematics 10

2.8 Grade R 10

2.8.1 Grade R daily programme 13

2.9 Recommended Resources 14

Chapter

3

3.1 Introduction 15

3.2 Content Specification 15

3.2.1 Foundation Phase (Grade R to 3) Overview 15

Number, Operations and Relationships 16

Patterns, Functions and Algebra 21

Space and Shape 22

Measurement 25

Data Handling 29

3.3 Content Clarification 31

3.3.1 Allocation of teaching time 31

3.4 Sequencing and pacing of content 31

3.4.1 Lesson planning topic allocation per term 32

Grade R term overview 35

Grade 1 term overview 50

Grade 2 term overview 60

Grade 3 term overview 72

3.5 Clarification Notes with Teaching Guidelines 85

3.5.1 Grade 1 86

3.5.2 Grade 2 181

3.5.3 Grade 3 282

Chapter

4 Assessment Guidelines

4.1.Introduction 402

4.2.Informal or Daily Assessment 402

4.3.Formal Assessment 402

2

4.4.Programme of Formal Assessment 403

4.5.Recording and Reporting 404

4.6. 404

4.7.Exemplar Assessment Tasks for Grades 1 3 405

3 FINAL

1.1 Background

The National Curriculum Statement Grades R 12 (NCS) stipulates policy on curriculum and assessment in the schooling sector.

To improve implementation, the National Curriculum Statement was amended, with the amendments coming into effect in January 2012. A

single comprehensive Curriculum and Assessment Policy document was developed for each subject to replace Subject Statements, Learning

Programme Guidelines and Subject Assessment Guidelines in Grades R - 12.

1.2 Overview

(a) The National Curriculum Statement Grades R 12 (January 2012) represents a policy statement for learning and teaching

in South African schools and comprises the following: (i) National Curriculum and Assessment Policy Statements for each approved school subject;

(ii) The policy document, National policy pertaining to the programme and promotion requirements of the National

Curriculum Statement Grades R 12; and

(iii) The policy document, National Protocol for Assessment Grades R 12 (January 2012).

(b) The National Curriculum Statement Grades R 12 (January 2012) replaces the two current national curricula statements,

namely the

(i) Revised National Curriculum Statement Grades R - 9, Government Gazette No. 23406 of 31 May 2002, and

(ii) National Curriculum Statement Grades 10 - 12 Government Gazettes, No. 25545 of 6 October 2003 and No.

27594 of 17 May 2005.

(c) The national curriculum statements contemplated in subparagraphs (a) and (b) comprise the following policy documents

which will be incrementally repealed by the National Curriculum Statement Grades R 12 (January 2012) during the

period 2012-2014:

(i) The Learning Area/Subject Statements, Learning Programme Guidelines and Subject Assessment Guidelines for

Grades R - 9 and Grades 10 12;

(ii) The policy document, National Policy on assessment and qualifications for schools in the General Education

and Training Band d, promulgated in Government Notice No. 124 in Government Gazette No. 29626 of 12

February 2007;

(iii) The policy document, the National Senior Certificate: A qualification at Level 4 on the National Qualifications

Framework (NQF), promulgated in Government Gazette No.27819 of 20 July 2005;

CHAPTER 1

CURRICULUM AND ASSESSMENT POLICY STATEMENT (CAPS)

FOUNDATION PHASE MATHEMATICS GRADE R-3

4

(iv) The policy document, An addendum to the policy document, the National Senior Certificate: A qualification at

Level 4 on the National Qualifications Framework (NQF), regarding learners with special needs, published in

Government Gazette, No.29466 of 11 December 2006, is incorporated in the policy document, National policy

pertaining to the programme and promotion requirements of the National Curriculum Statement Grades R 12;

and

(v) The policy document, An addendum to the policy document, the National Senior Certificate: A qualification at

Level 4 on the National Qualifications Framework (NQF), regarding the National Protocol for Assessment

(Grades R 12), promulgated in Government Notice No.1267 in Government Gazette No. 29467 of 11

December 2006.

(c) The policy document, National policy pertaining to the programme and promotion requirements of the National Curriculum

Statement Grades R 12, and the sections on the Curriculum and Assessment Policy as contemplated in Chapters 2, 3 and 4 of

this document constitute the norms and standards of the National Curriculum Statement Grades R 12. It will therefore, in terms

of section 6A of the South African Schools Act, 1996 (Act No. 84 of 1996,) form the basis for the Minister of Basic Education to

determine minimum outcomes and standards, as well as the processes and procedures for the assessment of learner achievement

to be applicable to public and independent schools.

1.3 General aims of the South African Curriculum

(a) The National Curriculum Statement Grades R - 12 gives expression to the knowledge, skills and values worth learning in South

African schools. This curriculum aims to ensure that children acquire and apply knowledge and skills in ways that are meaningful

to their own lives. In this regard, the curriculum promotes knowledge in local contexts, while being sensitive to global

imperatives. (b) The National Curriculum Statement Grades R - 12 serves the purposes of: equipping learners, irrespective of their socio-economic background, race, gender, physical ability or intellectual ability, with the knowledge, skills and values necessary for self-fulfilment, and meaningful participation in society as citizens of a free country; providing access to higher education; facilitating the transition of learners from education institutions to the workplace; and (c) The National Curriculum Statement Grades R - 12 is based on the following principles: Social transformation: ensuring that the educational imbalances of the past are redressed, and that equal educational opportunities are provided for all sections of the population; 5 Active and critical learning: encouraging an active and critical approach to learning, rather than rote and uncritical learning of given truths; High knowledge and high skills: the minimum standards of knowledge and skills to be achieved at each grade are specified and set high, achievable standards in all subjects; Progression: content and context of each grade shows progression from simple to complex; Human rights, inclusivity, environmental and social justice: infusing the principles and practices of social and environmental justice and human rights as defined in the Constitution of the Republic of South Africa. The National Curriculum Statement Grades R 12 is sensitive to issues of diversity such as poverty, inequality, race, gender, language, age, disability and other factors; Valuing indigenous knowledge systems: acknowledging the rich history and heritage of this country as important contributors to nurturing the values contained in the Constitution; and Credibility, quality and efficiency: providing an education that is comparable in quality, breadth and depth to those of other countries. (d) The National Curriculum Statement Grades R - 12 aims to produce learners that are able to: identify and solve problems and make decisions using critical and creative thinking; work effectively as individuals and with others as members of a team; organise and manage themselves and their activities responsibly and effectively; collect, analyse, organise and critically evaluate information; communicate effectively using visual, symbolic and/or language skills in various modes; use science and technology effectively and critically showing responsibility towards the environment and the health of others; and demonstrate an understanding of the world as a set of related systems by recognising that problem solving contexts do not exist in isolation.

(e) Inclusivity should become a central part of the organisation, planning and teaching at each school. This can only happen if all

teachers have a sound understanding of how to recognise and address barriers to learning, and how to plan for diversity.

The key to managing inclusivity is ensuring that barriers are identified and addressed by all the relevant support structures within the school community, including teachers, District-Based Support Teams, Institutional-Level Support Teams, parents and Special Schools as Resource Centres. To address barriers in the classroom, teachers should use various curriculum differentiation strategies such as those included in the

Guidelines for Inclusive Teaching and Learning

(2010). 6

1.4 Time Allocation

1.4.1 Foundation Phase

(a) The instructional time in the Foundation Phase is as follows:

SUBJECT GRADE R

(HOURS)

GRADES 1-2

(HOURS)

GRADE 3

(HOURS)

Home Language 10 7/8 7/8

First Additional Language 2/3 3/4

Mathematics 7 7 7

Life Skills

ƒ Beginning Knowledge

Creative Arts

Physical Education

Personal and Social Well-being

6 (1) (2) (2) (1) 6 (1) (2) (2) (1) 7 (2) (2) (2) (1)

TOTAL 23 23 25

(b) Instructional time for Grades R, 1 and 2 is 23 hours and for Grade 3 is 25 hours.

(c) Ten hours are allocated for languages in Grades R-2 and 11 hours in Grade 3. A maximum of 8 hours and a minimum of

7 hours are allocated for Home Language and a minimum of 2 hours and a maximum of 3 hours for Additional

Language in Grades R 2. In Grade 3 a maximum of 8 hours and a minimum of 7 hours are allocated for Home

Language and a minimum of 3 hours and a maximum of 4 hours for First Additional Language.

(d) In Life Skills Beginning Knowledge is allocated 1 hour in Grades R 2 and 2 hours as indicated by the hours in brackets

for Grade 3. 7

1.4.2 Intermediate Phase

The instructional time in the Intermediate Phase is as follows:

SUBJECT HOURS

Home Language 6

First Additional Language 5

Mathematics 6

Natural Science and Technology 3,5

Social Sciences 3

Life Skills

ƒ Creative Arts

ƒ Physical Education

ƒ Personal and Social Well-being

4 (1,5) (1) (1,5)

TOTAL 27,5

1.4.3 Senior Phase

(a) The instructional time in the Senior Phase is as follows:

SUBJECT HOURS

Home Language 5

First Additional Language 4

Mathematics 4,5

Natural Science 3

Social Sciences 3

Technology 2

Economic Management Sciences 2

Life Orientation 2

Arts and Culture 2

TOTAL 27,5

8

1.4.4 Grades 10-12

(a) The instructional time in Grades 10-12 is as follows:

Subject Time allocation per week (hours)

i. Home Language ii. First Additional Language iii. Mathematics iv. Life Orientation v. A minimum of any three subjects selected from Group B Annexure B, Tables B1-B8 of the policy document, National policy pertaining to the programme and promotion requirements of the National Curriculum Statement Grades R

12, subject to the provisos stipulated in paragraph 28 of the

said policy document. 4.5 4.5 4.5 2

12 (3x4h)

The allocated time per week may be utilised only for the minimum required NCS subjects as specified above, and may not be

used for any additional subjects added to the list of minimum subjects. Should a learner wish to offer additional subjects,

additional time must be allocated for the offering of these subjects. 9

2.1. Introduction

In Chapter 2, the Foundation Phase Mathematics Curriculum and Assessment Policy Statement (CAPS) provides teachers with a definition of mathematics, specific aims, specific skills, focus of content areas, weighting of content areas, recommended resources for the Foundation Phase Mathematics lessons, suggested guidelines on supporting learners with barriers to learning-Mathematics, mental mathematics and enhancing the teaching of early numeracy skills in Grade R.

2.2. What is Mathematics?

Mathematics is a language that makes use of symbols and notations for describing numerical, geometric and graphical relationships. It is a human activity that involves observing, representing and investigating patterns and qualitative relationships in physical and social phenomena and between mathematical objects themselves. It helps to develop mental processes that enhance logical and critical thinking, accuracy and problem-solving that will contribute to decision-making.

2.3. Specific Aims

The teaching and learning of Mathematics aims to develop the following in the learner: critical awareness of how mathematical relationships are used in social, environmental, cultural and economic relations; confidence and competence to deal with any mathematical situation without being hindered by a fear of Mathematics; a spirit of curiosity and a love of Mathematics; appreciation for the beauty and elegance of Mathematics; recognition that Mathematics is a creative part of human activity; deep conceptual understanding in order to make sense of Mathematics; and acquisition of specific knowledge and skills necessary for: ƒ the application of Mathematics to physical, social and mathematical problems,; ƒ the study of related subject matter (e.g. other subjects); and

ƒ further study in Mathematics.

2.4. Specific Skills

To develop essential mathematical skills the learner should: develop the correct use of the language of Mathematics; develop number vocabulary, number concept and calculation and application skills;

CHAPTER 2

CURRICULUM AND ASSESSMENT POLICY STATEMENT (CAPS)

FOUNDATION PHASE MATHEMATICS GRADE R 3

10 learn to listen, communicate, think, reason logically and apply the mathematical knowledge gained; learn to investigate, analyse, represent and interpret information; learn to pose and solve problems; and build an awareness of the important role that Mathematics plays in real-life situations, including the personal development of the learner.

2.5. Focus of Content Areas

Mathematics in the Foundation Phase covers five content areas. Each content area contributes to the acquisition of specific skills. The table below shows the general focus of the content areas as well as the specific focus of the content areas for the Foundation Phase. Table 2.1 Foundation Phase Mathematics Content Focus

MATHEMATICS CONTENT KNOWLEDGE

Content Area General Content Focus Foundation Phase Specific Content Focus

Numbers,

Operations

and

Relationships

Development of number sense that includes:

the meaning of different kinds of numbers; the relationship between different kinds of numbers; the relative size of different numbers; representation of numbers in various ways; and the effect of operating with numbers. The number range developed by the end of Grade 3 includes whole numbers to at least 1 000 and common fractions. In this working with physical objects to count collections of objects, partition and combine quantities, skip count in various ways, solve contextual (word) problems, and build up and break down numbers. Counting enables learners to develop number concept, mental mathematics, estimation, calculation skills and recognition of patterns. Number concept development helps learners to learn about properties of numbers and to develop strategies that can make calculations easier.

Solving problems in context enables learners to

communicate their own thinking orally and in writing through drawings and symbols. Learners build an understanding of basic operations of addition, subtraction, multiplication and division. Learners develop fraction concept through solving problems involving the sharing of physical quantities and by using drawings. Problems should include solutions that result in whole number remainders or fractions. Sharing should involve not only finding parts of wholes, but also finding parts of collections of objects. In this phase, learners are not expected to read or write fraction symbols.

Patterns,

Functions

and

Algebra

Algebra is the language for investigating and

communicating most of Mathematics and can be extended to the study of functions and other relationships between variables. A central part of this content area is for the learner to achieve efficient manipulative skills in the use of algebra. It also focuses on the: description of patterns and relationships through the use of symbolic expressions, graphs and tables; and identification and analysis of regularities and change in patterns, and

In this phase, learners work with both

number patterns (e.g. skip counting); and geometric patterns (e.g. pictures). Learners should use physical objects, drawings and symbolic forms to copy, extend, describe and create patterns. Copying the pattern helps learners to see the logic of how the pattern is made. Extending the pattern helps learners to check that they have properly understood the logic of the pattern. Describing the pattern helps learners to develop their language skills. Focussing on the logic of patterns lays the basis for developing algebraic thinking skills. 11 relationships that enable learners to make predictions and solve problems. Number patterns support number concept development andquotesdbs_dbs22.pdfusesText_28