Initials and Surname: M. Makananisa Module code: LADMMM6 Assignment number: 02 Unique code: 685375 Student number: 60289821 Due date: 22 June 2018 SECTION A 1.1. The verbs of doing mathematics 1.1.1. Verb of doing mathematics Action required of the learner during the process of mathematising Example of a mathematical activity that demonstrate the action Investigate Probe, conduct an inquiry; make inquiries about; scrutinise, inspect, survey By construction, investigate sides and angles in quadrilaterals, focusing on: a. The sum of the interior angles of quadrilaterals. b. The sides and opposite angles of parallelograms. Identify Recognise, spot, pinpoint, discern, name, Identify a pattern or relationship between consecutive terms in order to extend the following pattern: a. – 3; – 7; – 11; – 15; ... ... Solve Resolve, find an answer, find a solution Solve x if x + 4 = 7, where x is a natural number. Predict Foresee, foretell, envisage, imagine, estimate Collect data about the prices of gas throughout the whole year of 2016 and write a report. When you report the data, make sure you summarize data in short paragraphs that include: a. Drawing conclusions about
the data. b. Making predictions based on the data. c. Identifying sources of error and bias in the data. d. Choosing appropriate summary. statistics for the data (mean, median, mode, range). e. The role of extremes in the data. Construct Build, establish, create, make Accurately construct geometric figures appropriately using a compass, ruler and protractor, including bisecting angles of a triangle. Construct angles of 45°, 30°, 60°and their multiples without using a protractor. 1.2. Gardening problem 1.2.1. The area of the strip that has been lost Area of the lost strip = 3m x 1m = 3m 2 1.2.2. Strip attached to the east side
1.2.3. What has Jamal not considered if he wants to keep his garden rectangular? He must reduce the length of the attached strip to 2cm. 1.2.4. To ensure that the garden remains rectangular, what will the area of the strip on the east side need to be for this to be possible? Area of strip on the east side needs to be: 2m × 1m = 2m 2 1.2.5. What is the area of the new garden? Does this area differ from the original area at all? If so in what way? Area of the original garden = l 2 = 3m × 3m = 9m 2 Area of a new garden = (3m + 1m) × 2m = 4m × 2m = 8m 2 Yes, they are different. The area of the new garden is 1unit less that the area of the original garden. The original garden is a square and the new garden is a rectangle, this is the reason for the difference of the two gardens. 1.3 Devising a three-part lesson format for an activity in the classroom ABCD is a rectangle where BD = 15 cm and BC = 9 cm . A B D C Determine the: a) Perimeter of ABCD b) Area of ABCD
1.3.1. How would you teach the activity as a problem? Explain. The activity will be a class work and learners will work in pairs. The activity will be presented on the class chalk board for all the learners to see. Every learner will write the activity in his/her own class work book, but they will discuss in pairs before writing the solutions.
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