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TMN3704 Assignment 4 Memo | Due 14 August 2025

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TMN3704 Assignment 4 Memo | Due 14 August 2025. All questions fully answered. 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) 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)

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, PLEASE USE THIS DOCUMENT AS A GUIDE TO ANSWER YOUR ASSIGNMENT

 ACTIVITY 1

1.1. Define the concept of "Common Fraction".

A common fraction is a way of representing a part of a whole using two numbers: a numerator and a
denominator. It is introduced in Grade 4 and developed through to Grade 6 using various models
such as area, length, and set representations. Learners describe, compare, and perform calculations
with fractions, starting with same denominators and progressing to more complex forms. They also
explore equivalent fractions and their use in real-life contexts like sharing and measurement. By
Grade 6, learners begin connecting common fractions with decimal fractions and percentages.

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.

Relational Understanding
One key concept in understanding common fractions is relational understanding. This involves
knowing not just how to work with fractions, but also why certain procedures make sense. For
example, learners should be able to explain and demonstrate why two fractions are equivalent or how
a fraction represents part of a whole in different ways. This deeper understanding allows learners to
move beyond memorization and instead make meaningful connections between concepts. It also
enables them to use fractions flexibly in a variety of contexts, building a strong foundation for future
mathematical thinking.

Representation Using Various Models
Another essential concept is the use of different models to represent fractions. These include area
models (such as shapes divided into equal parts), length models (like number lines or strips), and set
models (groups of objects divided into fractions). Each model helps learners grasp the idea of a
fraction from a different angle—whether it’s part of a shape, a point on a line, or a portion of a group.
Using a variety of models helps learners form a more complete and versatile understanding of
fractions, avoiding narrow or rigid interpretations.

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

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