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Educator and Tagging Information: Learning Area: Maths Resource Name: Maths Assessment Exemplar Number: M8.85 Item: 85 Phase: Senior Grade: 8 Learning Outcome(s) and Assessment Standard(s): Learning Outcome 2: Patterns, Functions and Algebra Assessment Standard: We know this when the learner 8.2.1 Investigates and extends numeric and geometric patterns looking for a relationship or rules, including patterns: represented in physical or diagrammatic form; not limited to sequences involving constant difference or ratio; found in natural and cultural contexts of the learnerâ€™s own creation; represented in tables; represented algebraically. 8.2.2 Describes, explains and justifies observed relationships or rules in own words or in algebra. 8.2.7 Determines, analyses and interprets the equivalence of different descriptions of the same relationship or rule presented: verbally; in flow diagrams; in tables; by equations or expressions in order to select the most useful representation for a given situation. Learning Space: Assessment Hyperlinks: To be completed later. Number of questions for exemplar: 1 Rating: Easy questions: Question 1 Medium questions: Difficult questions: Assessment Task Questions: 1. Peter made up a 7 by 7 table with each row having a certain pattern that it is following. In each row the next term will be two less than the previous term. 1 2 3 4 5 6 7 1 2 3 4 5 6 -7 0 7 4 19 a) Complete the table using the rule in each row. b) In your own words, describe the rule that is being formed down each column. c) Use this rule to write down the sequence of numbers in the 6th row and 7th row. Solution 1. a) 1 2 3 4 5 6 7 1 -1 -3 -5 -7 -9 -11 -13 2 2 0 -2 -4 -6 -8 -10 3 7 5 3 1 -1 -3 -5 4 14 12 10 8 6 4 2 5 23 21 19 17 15 13 11 6 7 b) Each column increases by -2 units, and each row increases by consecutive odd numbers starting with 3. 1 2 3 4 5 6 7 1 -1 -3 -5 -7 -9 -11 -13 2 2 0 -2 -4 -6 -8 -10 3 7 5 3 1 -1 -3 -5 4 14 12 10 8 6 4 2 5 23 21 19 17 15 13 11 1 2 3 4 5 6 7 1 -1 -3 -5 -7 -9 -11 -13 2 2 0 -2 -4 -6 -8 -10 3 7 5 3 1 -1 -3 -5 4 14 12 10 8 6 4 2 5 23 21 19 17 15 13 11 6 34 32 30 28 26 24 22 7 47 45 43 41 39 37 35 6 7 c) Appendix of Assignment Tools Number pattern Function