MIP1502 Assignment 3 (DETAILED ANSWERS) 2024 - DISTINCTION GUARANTEED

MIP1502 Assignment 3 (DETAILED ANSWERS) 2024 - DISTINCTION GUARANTEED - DISTINCTION GUARANTEED - DISTINCTION GUARANTEED Answers, guidelines, workings and references ...... Question 1 1.1 Use examples to explain the difference between a number sentence and an algebraic expression. (4) 1.2 Explain how you can use geometric patterns to help learners to understand functions. (4) 1.3 List three different ways to represent a pattern (6) 1.4 Why is algebraic thinking important for solving real-world problems? (6) 1.5 The sum of two positive integers is three times their difference. The product of the two numbers is four times their sum. Show that the sum of the two numbers cannot have three prime factors. (6) [26] Question 2 2.1 Explain the difference between a constant difference and a constant ratio in patterns (4) 2.2 Describe in your own words what a function is in mathematics. (3) 2.3 Evaluate how effective number lines are in teaching patterns. (4) 2.4 Critique the use of indigenous patterns in teaching geometric patterns. (4) 2.5 Dots are arranged to form a pattern. Lizo plans to continue the pattern. 2.5.1 Describe Picture 6 and Picture 7 in words. (4) 2.5.2 Now draw Picture 6 and Picture 7. (6) 2.5.3 How many dots are there in Picture 6 and Picture 7. (2) 2.5.4 Describe Picture 60 and Picture 70 in words. (4) 2.5.5 Calculate the number of dots in Picture 60 and Picture 70. Show your work. (6) 2.6 Look at the sequence below to answer the questions that follow. 1, 4, 7, 9, 10 … 2.6.1 Draw a graph that will represent the above sequence. (5) 2.6.2 What will term 20 and term 95 be in the sequence? (4) 2.6.3 Write the calculation rule that you can use to calculate any term in the sequence and represent the rule using a one-line flow diagram. (4) [52] Picture 1 Picture 2 Picture 4 Picture 3 4 Question 3 The diagram shows a plan of two adjoining rooms. You are given some of the lengths, areas