Learning Outcomes
Learning Area: Mathematics
Phase: Senior Phase (Grades 7-9)
Overview of the Learning Outcomes
Learning Outcome 1: Numbers, Operations and Relationships
The learner will be able to recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and confidence in solving problems.
Learning Outcome focus
Learning Outcome 1 builds the learner’s number sense, which is the foundation of further study in Mathematics.
It also develops the learner’s understanding of: • what different kinds of numbers mean; • how different kinds of numbers relate to one another; • the relative size of different numbers; • how different numbers can be thought about and represented in various ways; and • the effect of operating with numbers.
Essential to the development of number sense is knowledge of basic number facts, the use of efficient and accurate methods for calculation and measurement, and a range of strategies for estimating and checking results.
Learning Outcome 1 also provides opportunities for the learner to use appropriate technology and to engage with the historical and cultural developments of numerical counting and writing systems. Learners with a good sense of number and operations have the mathematical confidence to make sense of problems and results in various contexts.
Contexts should be selected in which the learner has to count, estimate and calculate in a way that builds awareness of other Learning Areas, as well as human rights, social, economic, cultural, political and environmental issues. For example, the learner should be able to: • compare counting in different African languages and relate this to the geographical locations of the language groups; • count animals in the environment with an awareness of animals at risk of becoming extinct; • compare national health statistics with an awareness of how learners’ own regions are affected; • calculate
Phase: Senior Phase (Grades 7-9)
Overview of the Learning Outcomes
Learning Outcome 1: Numbers, Operations and Relationships
The learner will be able to recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and confidence in solving problems.
Learning Outcome focus
Learning Outcome 1 builds the learner’s number sense, which is the foundation of further study in Mathematics.
It also develops the learner’s understanding of: • what different kinds of numbers mean; • how different kinds of numbers relate to one another; • the relative size of different numbers; • how different numbers can be thought about and represented in various ways; and • the effect of operating with numbers.
Essential to the development of number sense is knowledge of basic number facts, the use of efficient and accurate methods for calculation and measurement, and a range of strategies for estimating and checking results.
Learning Outcome 1 also provides opportunities for the learner to use appropriate technology and to engage with the historical and cultural developments of numerical counting and writing systems. Learners with a good sense of number and operations have the mathematical confidence to make sense of problems and results in various contexts.
Contexts should be selected in which the learner has to count, estimate and calculate in a way that builds awareness of other Learning Areas, as well as human rights, social, economic, cultural, political and environmental issues. For example, the learner should be able to: • compare counting in different African languages and relate this to the geographical locations of the language groups; • count animals in the environment with an awareness of animals at risk of becoming extinct; • compare national health statistics with an awareness of how learners’ own regions are affected; • calculate