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National Curriculum Definitions |
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Here you will find an overview of the South African Mathematics National Curriculum.
For a more in-depth explaination of the grades, see the 10ticks Book Details.
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Definition of Mathematics
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The Mathematics Learning Area includes interrelated Knowledge and Skills
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Knowledge
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Numbers, operations and relationships;
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Patterns, functions and algebra;
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Space and shape (Geometry);
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Measurement; and
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Data handling.
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Skills
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Representation and interpretation;
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Estimation and calculation;
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Reasoning and communication;
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Problem posing;
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Problem solving and investigation; and
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Describing and analysing.
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Purpose of Mathematics
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The teaching and learning of mathematics aims to develop the following in the learner:
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A critical awareness of how mathematical relationships are used in social, environment, cultural and econimic relations;
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The necessary confidence and competence to deal with any mathematical situation without being hindered by a fear of Mathematics;
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An appriciation of the beauty and elegance of Mathematics;
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A spirit of curiosity; and
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A love for Mathematics.
In addition, the teaching and learning of Mathematics can enable the learner to:
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Develop and awareness of the historical, cultural and social practices of Mathematics;
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Recognise that Mathematics is a creative part of human activity;
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Develop deep conceptual understanding in order to make sense of Mathematics; and
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Aquire the specific knowledge and skills necessary for:
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The application of Mathematics to physical, social and mathematical problems,
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The study of related subject matter (e.g. other Learning Areas), and
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Further study in Mathematics.
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Unique Features and Scope of Mathematics
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The unique features of learning and teaching mthematics include:
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Working with numbers, data, space and shape: Visualising, measuring, ordering,
calculating, estimating, interpreting, making informed choices, comparing and contrasting, classifying
and representing with confidence and accuracy.
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Problem solving: making sense of the problem, analysing and synthesising, and determining
and executing solution strategies, as well as validating and interpreting the solutions appropriate to the context.
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Investigating patterns and relationships: describing, conjecturing, inferring,
deducing, reflecting, generalising, predicting, refuting, explaining, specialising,
defining, modelling, justifying and representing.
The Mathematics Learning Area develops:
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A critical awareness of how mathematical relationships
can be used responsibly in addressing human rights issues
such as social, political and economic relations and
environmental problems and risks;
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An appreciation for the diverse historical, cultural and
social practices of Mathematics;
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Pleasure in mathematical experiences;
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An ability to engage in the process of inquiry and
investigation;
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An ability to use manipulatives as well as electronic
and other technology effectively; and
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Working effectively, independently and as a member of a team.
Mathematicsl knowledge, skills and values will enable the learner to:
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Participate equitably and meaningfully (with an awareness of rights) in political, social, environmental and economic activities by being mathematically literate;
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Contribute responsibly to the reconstruction and development of society by using mathematical tools to expose inequality and assess environmental problems and risks;
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Display critical and insightful reasoning and interpretative and communicative skills when dealing with mathematical and contextualised problems
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Describe suitable situations using mathematical notation and language;
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Apply Mathematics in a variety of contexts;
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Transfer mathematical knowledge and skills between Learning Areas and within Mathematics; and
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Display mental, algorithmic and technological confidence and accuracy in:
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Working with number, data, space and shape,
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Investigating patterns and relationships,
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Problem solving, and
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Constructing new insights and meaning.
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Mathematics Curriculum
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Grade 4
- LO1 - Recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and confidence in solving problems.
- LO2 - Recognise, describe and represent patterns and relationships, as well as to solve problems using algebraic language and skills.
- LO3 - Describe and represent characteristics and relationships between two-dimensional shapes and three-dimensional objects in a variety of orientations and positions.
- LO4 - Use appropriate measuring units, instruments and formulae in a variety of contexts.
- LO5 - Collect, summarise, display and critically analyse data in order to draw conclusions and make predictions, and to interpret and determine chance variation.
For a more detailed description of the learning outcomes of Grade 4, click here.
Grade 5
- LO1 - Recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and confidence in solving problems.
- LO2 - Recognise, describe and represent patterns and relationships, as well as to solve problems using algebraic language and skills.
- LO3 - Describe and represent characteristics and relationships between two-dimensional shapes and three-dimensional objects in a variety of orientations and positions.
- LO4 - Use appropriate measuring units, instruments and formulae in a variety of contexts.
- LO5 - Collect, summarise, display and critically analyse data in order to draw conclusions and make predictions, and to interpret and determine chance variation.
For a more detailed description of the learning outcomes of Grade 5, click here.
Grade 6
- LO1 - Recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and confidence in solving problems.
- LO2 - Recognise, describe and represent patterns and relationships, as well as to solve problems using algebraic language and skills.
- LO3 - Describe and represent characteristics and relationships between two-dimensional shapes and three-dimensional objects in a variety of orientations and positions.
- LO4 - Use appropriate measuring units, instruments and formulae in a variety of contexts.
- LO5 - Collect, summarise, display and critically analyse data in order to draw conclusions and make predictions, and to interpret and determine chance variation.
For a more detailed description of the learning outcomes of Grade 6, click here.
Grade 7
- LO1 - Recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and confidence in solving problems.
- LO2 - Recognise, describe and represent patterns and relationships, as well as to solve problems using algebraic language and skills.
- LO3 - Describe and represent characteristics and relationships between two-dimensional shapes and three-dimensional objects in a variety of orientations and positions.
- LO4 - Use appropriate measuring units, instruments and formulae in a variety of contexts.
- LO5 - Collect, summarise, display and critically analyse data in order to draw conclusions and make predictions, and to interpret and determine chance variation.
For a more detailed description of the learning outcomes of Grade 7, click here.
Grade 8
- LO1 - Recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and confidence in solving problems.
- LO2 - Recognise, describe and represent patterns and relationships, as well as to solve problems using algebraic language and skills.
- LO3 - Describe and represent characteristics and relationships between two-dimensional shapes and three-dimensional objects in a variety of orientations and positions.
- LO4 - Use appropriate measuring units, instruments and formulae in a variety of contexts.
- LO5 - Collect, summarise, display and critically analyse data in order to draw conclusions and make predictions, and to interpret and determine chance variation.
For a more detailed description of the learning outcomes of Grade 8, click here.
Grade 9
- LO1 - Recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and confidence in solving problems.
- LO2 - Recognise, describe and represent patterns and relationships, as well as to solve problems using algebraic language and skills.
- LO3 - Describe and represent characteristics and relationships between two-dimensional shapes and three-dimensional objects in a variety of orientations and positions.
- LO4 - Use appropriate measuring units, instruments and formulae in a variety of contexts.
- LO5 - Collect, summarise, display and critically analyse data in order to draw conclusions and make predictions, and to interpret and determine chance variation.
For a more detailed description of the learning outcomes of Grade 9, click here.
Grade 10
- LO1 - Recognise, describe, represent and work confidently with numbers and their relationships to estimate, calculate and check solutions.
- LO2 - Investigate, analyse, describe and represent a wide range of functions and solve related problems.
- LO3 - Describe, represent, analyse and explain properties of shapes in 2-dimensional and 3-dimensional space with justification.
- LO4 - Collect, organise, analyse and interpret data to establish statistical and probability models to solve related problems.
For a more detailed description of the learning outcomes of Grade 10, click here.
Grade 11
- LO1 - Recognise, describe, represent and work confidently with numbers and their relationships to estimate, calculate and check solutions.
- LO2 - Investigate, analyse, describe and represent a wide range of functions and solve related problems.
- LO3 - Describe, represent, analyse and explain properties of shapes in 2-dimensional and 3-dimensional space with justification.
- LO4 - Collect, organise, analyse and interpret data to establish statistical and probability models to solve related problems.
For a more detailed description of the learning outcomes of Grade 11, click here.
Grade 12
- LO1 - Recognise, describe, represent and work confidently with numbers and their relationships to estimate, calculate and check solutions.
- LO2 - Investigate, analyse, describe and represent a wide range of functions and solve related problems.
- LO3 - Describe, represent, analyse and explain properties of shapes in 2-dimensional and 3-dimensional space with justification.
- LO4 - Collect, organise, analyse and interpret data to establish statistical and probability models to solve related problems.
For a more detailed description of the learning outcomes of Grade 12, click here.
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Mathematics Literacy Curriculum
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Grade 10
- LO1 - Use knowledge of numbers and their relationships to investigate a range of different contexts which include financial aspects of personal, business and national issues.
- LO2 - Recognise, interpret, describe and represent various functional relationships to solve problems in real and simulated contexts.
- LO3 - Measure using appropriate instruments, to estimate and calculate physical quantities, and to interpret, describe and represent properties of and relationships between 2-dimensional shapes and 3-dimensional objects in a variety of orientations and positions.
- LO4 - Collect, summarise, display and analyse data and to apply knowledge of statistics and probability to communicate, justify, predict and critically interrogate findings and draw conclusions.
For a more detailed description of the learning outcomes of Grade 10 Mathematics Lteracy, click here.
Grade 11
- LO1 - Use knowledge of numbers and their relationships to investigate a range of different contexts which include financial aspects of personal, business and national issues.
- LO2 - Recognise, interpret, describe and represent various functional relationships to solve problems in real and simulated contexts.
- LO3 - Measure using appropriate instruments, to estimate and calculate physical quantities, and to interpret, describe and represent properties of and relationships between 2-dimensional shapes and 3-dimensional objects in a variety of orientations and positions.
- LO4 - Collect, summarise, display and analyse data and to apply knowledge of statistics and probability to communicate, justify, predict and critically interrogate findings and draw conclusions.
For a more detailed description of the learning outcomes of Grade 11 Mathematics Lteracy, click here.
Grade 12
- LO1 - Use knowledge of numbers and their relationships to investigate a range of different contexts which include financial aspects of personal, business and national issues.
- LO2 - Recognise, interpret, describe and represent various functional relationships to solve problems in real and simulated contexts.
- LO3 - Measure using appropriate instruments, to estimate and calculate physical quantities, and to interpret, describe and represent properties of and relationships between 2-dimensional shapes and 3-dimensional objects in a variety of orientations and positions.
- LO4 - Collect, summarise, display and analyse data and to apply knowledge of statistics and probability to communicate, justify, predict and critically interrogate findings and draw conclusions.
For a more detailed description of the learning outcomes of Grade 12 Mathematics Lteracy, click here.
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