MIP2601 Assignment 2 Memo | Due 11 June 2025

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MIP2601 Assignment 2 Memo | Due 11 June 2025. Step by step calculations provided. Question 1: Geometry Thinking and geometric Concepts. The concept of geometry is a strand of the curriculum in nearly every state, district, and country. Consider the Curriculum Assessment Policy Statement (CAPS) for Intermediate Phase Mathematics (South Africa) to answer the questions that follow. 1.1. A rich understanding of geometry has important implications for other topics in mathematics. Identify and explain the four topics in the Intermediate phase mathematics with the direct link to geometry (12) 1.2 Spatial sense is regarded as an intuition about the shapes and the relationships among the shapes. Develop the three learning activities for a grade 4 class on spatial development. What do you think is the cause of some people to have better spatial sense than the others? (8) 1.2 The prominent feature of the Van Hiele framework is a five hierarchy on understanding spatial ideas. Consider the diagram below and answer the questions that follow: Diagram 11.3.1 Explain how as a mathematics teacher will move learners through the first three levels of the Van Hiele framework (9) 2.3.2 What are the implications of the activity in 1.21 above for geometry instruction? (21) Subtotal = 50 Question 2: Geometry Problem Solving activities. To answer the questions in this section, you are required to provide the solutions and explain the thinking/reasons behind each of the solution. 2.1 Consider the diagram below and answer the questions that follow. Which box has the largest volume? Support your answer with reasons/ calculations (3) 2.2. What is the area of the parallelogram below? 2.3 When folded along the dotted lines, which geometric solid is formed? (3) Explain 2.4 Determine the area of a triangle with a length of 8cm and a width of 3cm (3) 2.5 What is the name of a 3-dimensional object like a can of soup? (3) 2.6 What is the perimeter of a square with a side length of 5 cm? (3) 2.7 Consider the diagram below and answer the question that follows. to calculate the area of a diagram above (3) Subtotal = [21] Question 3: Geometry Proof 3.1 The figure below is not drawn according to scale Determine the size of angle a. Show ALL the workings (5) 3.2 Consider the diagram below and answer the questions that follow: How many times is 3.2.1 FG longer than BC (3) 3.2.2 JK shorter than BC (3) 3.2.3 EF longer than AB (3) 3.2.4 IJ shorter than AB (3) 3.2.5 EG shorter than AC (3) 3.2.6 Is triangle EFG an enlargement of triangle ABC? Explain your answer (3) 3.2.7 Is triangle IJK a reduction of triangle ABC? Explain your answer (3) 3.2.8 Draw an enlargement of the rectangle below by a scale factor of 3 (3)