OPM1501 Assignment 3 Due 15 July 2022 (Answers)

PART A 1. 0 0 1 ×3 -4 1 2 2 k 3 K = 3 Therefore 3×3 = 9 9-4 = 5 2. Input value 0 1 2 k Output value 0 -1 2 5 3. 0, 3 , 8 , 15 , 24 , 35 , 48 , 63 , 80 , 99, 120 3 5 7 9 11 2 2 2 2 2 2 2 2 2 Therefore, the eleventh for this sequence is 12 4. (i) 5 6 7 12 13 14 19 20 21 1 (ii) 7 8 10 14 15 16 2 2 1 2 3 (iii) 8 9 10 15 16 17 (iv) 2 3 4 9 10 11 16 17 18 5. Yes 6 + 14 + 12 + 20 = 52 6. YES Of 19 Same at the right-hand side 13 + 7 + 1 will give answer at the bottom 21. The numbers at the top added together +1 gives 13 the inside number. Similar pattern 5 + 7 = 12 + 1 = 13 13 + 7 = 20 + 1 = 21 13 + 5 = 18 + 1 = 19 Inside number 13 + outside number above left hand 5 + one will give bottom number. 7. YES In question 5 6 + 12 + 14 + 20 = 52 In question 6 5 + 7 + 9 + 21 = 52 8. LEVEL 0 Visualisation Learners can classify shapes according to what they look like. They will see the rectangle and a square but only by what the shape looks like and not according to their properties. LEVEL 1 Descriptive/ Analysis Learners can describe shapes according to their properties, for example a rectangle has equal opposite sides and all right angles. They can group shapes according to the characteristics but do not yet know how to identify a shape if a set of properties are given. They would usually describe a shape by naming all the properties of that shape. For example, they will say a rectangle has equal and parallel opposite sides, equal diagonals, equal angles etc. In other words, they do not yet see the minimum requirement s for the shape to be identified. LEVEL 2 Abstract/Informal Deduction Learners at this level understand the relationships between shapes. They can now identify the minimum requirements for a shape to be identified. So, they know that a rectangle is a parallelogram with one right angle, because they understand that all the other properties of a rectangle are included in that definition. They can also identify a square as a kite, because a square has all the properties of a kite.