Chair and table patterns 0 Overview Using this Resource Connecting to the Curriculum Marking Student Responses Working with Students Further Resources This task is about continuing patterns. Question 1Change answer a) In a room, five chairs are put around one table, as shown. When two tables are joined, six chairs will fit. When four tables are joined, ten chairs will fit. a) In a room, five chairs are put around one table, as shown. When two tables are joined, six chairs will fit. When four tables are joined, ten chairs will fit. How many chairs will fit around six tables joined together in this way? chairs Question 1Change answer b) In a restaurant, four chairs are put around one table, as shown. Six chairs can be put around two tables joined together in a row. Eight chairs can be put around three tables joined together in a row. The restaurant needs to join 20 tables together in one long row. b) In a restaurant, four chairs are put around one table, as shown. Six chairs can be put around two tables joined together in a row. Eight chairs can be put around three tables joined together in a row. The restaurant needs to join 20 tables together in one long row. How many chairs can be put around 20 tables joined together in a row? chairs Task administration: This task is completed with pencil and paper or online with auto-marking. Level: 3 Curriculum info: Maths, Number and Algebra, Patterns and relationships Keywords: spatial patterns, number patterns Description of task: Students apply a rule to continue spatial patterns. Learning Progression FrameworksThis resource can provide evidence of learning associated with Patterns and relationships, sets 4-5 within the Mathematics Learning Progressions Frameworks.Read more about the Learning Progressions Frameworks. Answers/responses: Y6 (08/1998) a) 14 difficult b) 42 difficult Diagnostic and formative information: Student response Likely calculation Likely reason a) b) 30 80 6 × 5 20 × 4 Multiplies the number of chairs around one table by the number of tables. a) b) 18 60 6 × 3 6 × 10 Multiplies the number of chairs around two tables by the number of tables ÷ 2. a) 26 25 6 × 5 - 4 6 × 5 - 5 Only removes one chair for each extra table added. House patterns Making triangle patterns II Block patterns
