MIP2601 Assignment 2 (DETAILED ANSWERS) 2024 - DISTINCTION GUARANTEED

MIP2601 Assignment 2 (DETAILED ANSWERS) 2024 - DISTINCTION GUARANTEED - DISTINCTION GUARANTEED - DISTINCTION GUARANTEED Answers, guidelines, workings and references ...... Learners can now develop sequences of statements that logically justify conclusions. Given an isosceles triangle for example, learners can prove that the angles opposite the congruent sides are equal. 1.1. Clements and Batista (1994) classify Van Hiele levels from 1 to 5. Using examples, discuss the levels 1 to 3 in detail. (6) 1.2 Drawing from the CAPS Intermediate Phase Mathematics (Space and Shape), what does it mean to say that the levels are hierarchical? (5) MIP2601/102/0/2024 4 1.3 What are the 5 implications of Van Hiele’s framework in the teaching and learning of geometry in the Intermediate Phase mathematics? (10) 1.4 The development of the geometry we know today, started very early in the human history. (a) Where in the world do we find some early evidence of geometry? (1) (b) Approximately to what year does this evidence date back? (1) (c) Give details of how geometry was practiced in your example. (2) (d) Where in the CAPS is this type of GEOMETRY covered as a topic? (1) [Sub-Total=26] Question 2: Measurement The developmentof measurement as one of the content areas in mathematics as we know it today, started very early in the human history. In this question, you are required to identify from your Study Guide, some of the most important developments in this regard. 2.1 Identify 5 places in the world where we find evidence that people measured things? (5) 2.2 Approximately to which years does this evidence date back? (5) 2.3 Give detail of how measuring was done in that time. (10) 2.4 Where in the CAPS is this type of MEASUREMENT covered as a topic? (4) [Sub-Total= 24] Question 3: Polygons This question focuses on the concept of polygons. During Intermediate Phase learning, learners start learning about polygons and their names. Figure 1 below illustrates different types of polygons. Study the figure, then answer the questions that follow. Figure 1 3.1 To what extent do intermediate phase learners learn the concept of polygons in: MIP2601/102/0/2024 5 3.1.1 Grade 4 (5) 3.1.2 Grade 5 (5) 3.1.3 Grade 6 (5) 3.2 Design an assessment activity that will help your learners understand the difference between the perimeter and the area of a triangle. (6) 3.3 In the figure, a circle circumscribes a square. The side of the square is 5 units long. Calculate the area of the shaded part of the figure. (4) [Sub-Total= 25] Question 4: Lesson Plan Develop a lesson plan on the concept, Transformation for a grade 6 class. Your lesson plan should adhere to the following guidelines. 4.1 Topic (1) 4.2 Grade (1) 4.3 Outline the teacher and learner activities in the lesson introduction, body, and conclusion of the lesson (15) 4.4 What should be the learners’ prior knowledge in order for them to learn transformations successfully? (4) 4.5 Name 4 resources from the environment that you will use to mediate learning in the teaching of Transformation concept (4)