Question 1
1.1 Identify and provide any five specific aims/purposes for your subject according to CAPS.
The following are five specific aims/purposes for the subject of Mathematics according to CAPS:
To develop learners' mathematical knowledge and skills.
To develop learners' problem-solving and reasoning skills.
To develop learners' critical thinking and mathematical communication skills.
To develop learners' ability to apply mathematics in real-world contexts.
To develop learners' interest and appreciation for mathematics.
To prepare learners for further study and careers in mathematics-related fields.
1.2 List 5 topics in term 2 that must be taught and assessed in the grade and subject you have
indicated.
The following are five topics in term 2 that must be taught and assessed in grade 10 Mathematics:
Geometry: Similarity and congruence
Algebra: Linear equations and inequalities
Functions: Graphs of functions
Calculus: Limits and derivatives
Statistics: Probability
1.3 Define the concept ‘assessment’ in your subject, according to CAPS.
Assessment is the process of gathering evidence about learners' learning in order to make informed
decisions about their progress and learning needs. In Mathematics, assessment can be used to:
Identify learners' strengths and weaknesses.
Monitor their progress over time.
Provide feedback to learners on their learning.
Make decisions about teaching and learning.
Certify learners' achievement.
1.4 Outline the steps involved in assessment according to CAPS.
The following are the steps involved in assessment according to CAPS:
1. Plan the assessment. This includes identifying the learning outcomes to be assessed, selecting the
appropriate assessment methods, and developing the assessment tasks.
2. Administer the assessment. This includes providing clear instructions to learners, ensuring that
they have the necessary materials, and monitoring their progress.
, 3. Mark the assessment. This includes ensuring that the marking is fair and consistent, and providing
feedback to learners on their performance.
4. Use the assessment results. This includes using the results to make decisions about teaching and
learning, and to provide feedback to learners.
1.5.1 In your own words, explain your understanding of the principle referred to.
The principle of active and critical learning refers to the importance of encouraging learners to be
actively involved in their own learning. This means that learners should not simply be passive
recipients of knowledge, but should be actively engaged in the process of thinking, questioning, and
problem-solving.
1.5.2 Discuss how a teacher can attain this principle in a lesson, with reference to the assessment
activity that can be given to the learners.
There are many ways that a teacher can attain the principle of active and critical learning in a lesson.
One way is to use inquiry-based learning, where learners are given opportunities to ask questions,
investigate problems, and construct their own knowledge. Another way is to use cooperative
learning, where learners work together to solve problems and complete tasks.
As an example of an assessment activity that can be used to promote active and critical learning, a
teacher could give learners a problem-solving task that requires them to use their knowledge of
mathematics to think critically and solve the problem. The teacher could then provide feedback to
learners on their solutions, and discuss the different ways that the problem could be solved.
Question 2
2.1.1 Differentiate between the three concepts by giving a description of each term below as defined
in the NPA:
School-based assessment: This is the assessment of learners' learning that is conducted by the
school. It includes both formal and informal assessments, such as tests, quizzes, projects, and
observations.
Practical assessment tasks: These are assessments that require learners to apply their knowledge
and skills in a practical setting. They can be used to assess learners' ability to solve problems, use
tools and equipment, and work independently.
End-of-year examinations: These are formal assessments that are conducted at the end of the year.
They are used to assess learners' overall achievement in a subject.
2.2 Indicate the weight in percentages for tasks done during the year and the end-of-year
examinations for your specific phase, grade and subject (as indicated in question 1). Present your
answers in the following table.
1.1 Identify and provide any five specific aims/purposes for your subject according to CAPS.
The following are five specific aims/purposes for the subject of Mathematics according to CAPS:
To develop learners' mathematical knowledge and skills.
To develop learners' problem-solving and reasoning skills.
To develop learners' critical thinking and mathematical communication skills.
To develop learners' ability to apply mathematics in real-world contexts.
To develop learners' interest and appreciation for mathematics.
To prepare learners for further study and careers in mathematics-related fields.
1.2 List 5 topics in term 2 that must be taught and assessed in the grade and subject you have
indicated.
The following are five topics in term 2 that must be taught and assessed in grade 10 Mathematics:
Geometry: Similarity and congruence
Algebra: Linear equations and inequalities
Functions: Graphs of functions
Calculus: Limits and derivatives
Statistics: Probability
1.3 Define the concept ‘assessment’ in your subject, according to CAPS.
Assessment is the process of gathering evidence about learners' learning in order to make informed
decisions about their progress and learning needs. In Mathematics, assessment can be used to:
Identify learners' strengths and weaknesses.
Monitor their progress over time.
Provide feedback to learners on their learning.
Make decisions about teaching and learning.
Certify learners' achievement.
1.4 Outline the steps involved in assessment according to CAPS.
The following are the steps involved in assessment according to CAPS:
1. Plan the assessment. This includes identifying the learning outcomes to be assessed, selecting the
appropriate assessment methods, and developing the assessment tasks.
2. Administer the assessment. This includes providing clear instructions to learners, ensuring that
they have the necessary materials, and monitoring their progress.
, 3. Mark the assessment. This includes ensuring that the marking is fair and consistent, and providing
feedback to learners on their performance.
4. Use the assessment results. This includes using the results to make decisions about teaching and
learning, and to provide feedback to learners.
1.5.1 In your own words, explain your understanding of the principle referred to.
The principle of active and critical learning refers to the importance of encouraging learners to be
actively involved in their own learning. This means that learners should not simply be passive
recipients of knowledge, but should be actively engaged in the process of thinking, questioning, and
problem-solving.
1.5.2 Discuss how a teacher can attain this principle in a lesson, with reference to the assessment
activity that can be given to the learners.
There are many ways that a teacher can attain the principle of active and critical learning in a lesson.
One way is to use inquiry-based learning, where learners are given opportunities to ask questions,
investigate problems, and construct their own knowledge. Another way is to use cooperative
learning, where learners work together to solve problems and complete tasks.
As an example of an assessment activity that can be used to promote active and critical learning, a
teacher could give learners a problem-solving task that requires them to use their knowledge of
mathematics to think critically and solve the problem. The teacher could then provide feedback to
learners on their solutions, and discuss the different ways that the problem could be solved.
Question 2
2.1.1 Differentiate between the three concepts by giving a description of each term below as defined
in the NPA:
School-based assessment: This is the assessment of learners' learning that is conducted by the
school. It includes both formal and informal assessments, such as tests, quizzes, projects, and
observations.
Practical assessment tasks: These are assessments that require learners to apply their knowledge
and skills in a practical setting. They can be used to assess learners' ability to solve problems, use
tools and equipment, and work independently.
End-of-year examinations: These are formal assessments that are conducted at the end of the year.
They are used to assess learners' overall achievement in a subject.
2.2 Indicate the weight in percentages for tasks done during the year and the end-of-year
examinations for your specific phase, grade and subject (as indicated in question 1). Present your
answers in the following table.
