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MIP2601 Assignment 4 (COMPLETE ANSWERS) Semester 2 2024 (348743) - DUE 5 August 2024
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,MIP2601 Assignment 4 (COMPLETE ANSWERS) Semester 22024 (348743) - DUE 5 August 2024 ; 100% TRUSTED
Complete, trusted solutions and explanations.
QUESTION 1 1.1 Assume that you are planning a lesson in which you will
teach a Grade 6 class the topic “Transformations”. Without drawing a
lesson plan, answer the following questions: 1.1.1 Formulate three
questions that you will ask to establish the learners’ prior knowledge. (6)
1.1.2 Describe two activities that you will do with your learners in class
(your activities should cover all aspects of the topic). In your activities, you
should include relevant drawings which will be used in the activities and
your step-by-step explanation of the specific aspect of the topic about
which the activity is. (6) 1.1.3 Discuss three misconceptions that you may
expect learners to have. (6) 1.1.4 Design, on a worksheet, three items
which can be used in this lesson. (Your items should test the concept of
Transformations.)
1.1.1 Formulate Three Questions to Establish Learners’ Prior Knowledge
1. What do you understand by the term "transformation" in
mathematics?
o Purpose: This question will help gauge if students have any prior
understanding of the concept of transformations in a geometric
context.
2. Can you describe what happens when you flip, slide, or turn an object?
o Purpose: This question aims to see if students are familiar with the
basic types of transformations: reflection (flip), translation (slide), and
rotation (turn).
3. Have you ever noticed how objects look different when you move them
around? Can you give an example?
o Purpose: This question assesses students' observational skills and
their ability to relate transformations to real-life situations.
1.1.2 Describe Two Activities
Activity 1: Exploring Reflections (Flips)
Objective: To understand the concept of reflection and how it changes the
position of a shape.
, Materials: Graph paper, ruler, pencils, and mirrors.
Steps:
1. Draw a simple shape (e.g., a triangle) on graph paper.
2. Place a mirror along one side of the shape to show its reflection.
3. Ask students to draw the reflected shape on the graph paper.
4. Discuss with students how the reflected shape is a mirror image of the
original shape.
Drawing: A triangle on one side of the mirror line, with its reflected image
on the other side.
Activity 2: Exploring Rotations (Turns)
Objective: To understand the concept of rotation and how it changes the
orientation of a shape.
Materials: Graph paper, protractor, pencils.
Steps:
1. Draw a simple shape (e.g., a square) on graph paper with its center
marked.
2. Use a protractor to rotate the shape 90 degrees clockwise around its
center.
3. Ask students to draw the new position of the shape after rotation.
4. Discuss how the shape's orientation changes but its size and shape
remain the same.
Drawing: A square before and after a 90-degree rotation around its center.
1.1.3 Discuss Three Misconceptions
1. Misconception about Size Change: Learners might think that a
transformation, such as rotation or reflection, changes the size of the shape.
o Clarification: Explain and demonstrate that transformations change
the position or orientation of shapes but not their size.
2. Misconception about Orientation: Learners may believe that a shape after
reflection will always look the same as the original.
o Clarification: Show through examples how reflection creates a mirror
image, which may look different from the original depending on the
axis of reflection.
3. Misconception about Location: Learners might assume that a translated
shape (slide) must remain in contact with its original position.
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