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TMN3704 Assignment 4 2025 (Year Module) - DUE 14 August 2025

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TMN3704 Assignment 4 2025 (Year Module) - DUE 14 August 2025 ACTIVITY 1 1.1 Define the concept of "Common Fraction". (2) 1.2 Identify and explain any two key concepts from the definition of a common fraction given above. These are terms that are central to the main points of the description of a common Fraction. (4) 1.3 Table A below indicates the focus of the lesson plan activity. Grade 5 Subject Mathematics Content Area Numbers, Operations and Relationships Topic Common Fractions Concepts and skills Calculations with Fractions Fractions of whole numbers which result in whole numbers 1.4 Carefully study the details of the topic as presented in the Curriculum and Assessment Policy Statement (CAPS) document and then answer the following questions: 1.4.1 In which term(s) is the topic ‘Common fractions’ taught in Grade 5? (3) 1.4.2 How much time is allocated to the topic ‘Common Fractions’ in Grade 5? (2) TMN3704/1Assignment 4/0/2025 12 ACTIVITY 2 2.1 What is your understanding of the following concepts: aim and objectives of a lesson? (2) 2.2 As the first step to preparing an effective lesson, describe the aimof your lesson for the identified Topic: Refer to Table A. (2) 2.3 Beginning your planning with the learning objectives in mind will also help you to ensure that your tasks and activities are appropriate and will help your learners achieve the objectives. Write down the two objectives that you want your learners to have achieved by the end of the lesson. (NB: Objectives should be derived from the concepts and skills stated in Table A) (6) 2.4 Learning is a process of continually restructuring prior knowledge, not just adding to it. Good teaching and learning provide opportunities for learners to connect what they are learning to their prior knowledge. What prior knowledge do you think learners should bring to build on the knowledge of ‘fractions of whole numbers which result in whole numbers? (4) TMN3704/1Assignment 4/0/2025 13 ACTIVITY 3 Identify and reflect on two learning strategy that you consider most suitable to unpack the concept and skills: Calculations with fractions focusing on ‘fractions of whole numbers which result in whole numbers’ and that could engage learners in the learning process that stimulates critical thinking (6) ACTIVITY 4 The main aim of this part of the lesson is to describe the instructional activities. These refer to tasks or exercises designed to facilitate learning and understanding of Calculations with fractions ‘fractions of whole numbers which result in whole numbers’. This section of the lesson plan should reflect that your lesson is learner-centred, by stating a lot more about what the learners will do than what the teacher will do. It should show learners as active participants rather than passive receivers of information. 4.1 Complete PART 1 of Table C. (30) Table C: Development of the fraction concept The main part of the lesson: To create a unique classroom atmosphere, according to Fraser (1998), teachers have to become innovative and use unique teaching methods and activities. PART 1: The role of the teacher (What will you do and say?) 1. How would you introduce the lesson? (5 minutes) (4) 2. How would you develop the lesson? (40 minutes). In answering this question, you should focus on the following aspects: • Time allocation for each activity (4) • the role of the teacher and learners’ activities (6) • As a teacher, you will be faced with the challenge of choosing the most effective media resources to reach your learners. But you can also design your own media to convey knowledge effectively and efficiently. Explain how learner-centred/t eacher-centred media resources would be used to build on learners’ understanding. (6) • Incorporate formative assessments into your lesson to evaluate students' understanding both during and at the end of the lesson. (6) 3. How would you consolidate your lesson? (5 minutes) (4) TMN3704/1Assignment 4/0/2025 14 4.2 Briefly discuss any three challenges that learners might experience in learning ‘fractions of whole numbers which result in whole numbers’. How could you (the teacher) address the identified challenges? (9) ACTIVITY 5 5.1 In planning assessment tasks, keep in mind the principles of universal design. In other words, consider the disabilities that learners might have and, if necessary, determine a strategy for accommodating those learners. Discuss four of such strategies. (8) 5.2 Assessment tasks should be spaced throughout the term and include formative tasks (tasks that focus on improving performance) as well as summative tasks (tasks that focus on measuring performance). Why is this the case? Motivate (4) 5.3 What is your view on the following statement: "Pre-marking meetings or other activities are undertaken to ensure that assessors are able to clarify their understanding of the assessment criteria." Motivate by giving three points (6) ACTIVITY 6 An investigation promotes critical and creative thinking. It can be used to discover rules or concepts and may involve inductive reasoning, identifying or testing patterns or relationships, drawing conclusions and establishing general trends. 6.1 Create an inquiry/investigation in which grade 6 are expected to practically explore the properties of a square. Highlight six important ideas. (12) 6.2 Develop an analytical rubric to aid in evaluating the investigation (6) [100]

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2025/2026
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Teaching Mathematics (TMN3704)

Assignment 4 (Year Module)

DUE: 14 August 2025 – 19h00




ACTIVITY 1

1.1

Define the concept of “Common Fraction.”
A common fraction is a number that represents a part of a whole, expressed with two
integers: a numerator (the number of parts) over a denominator (the total number of
equal parts).



1.2

Identify and explain two key concepts from this definition.

1. Numerator and denominator

o Numerator denotes the number of equal parts being considered.

o Denominator indicates the total number of equal parts that make up the
whole.

2. Part–whole relationship

o A common fraction reflects the relationship between the part (numerator) and
the whole (denominator), conveying how many parts of a whole are involved.



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