Stacking cans 0 Overview Using this Resource Connecting to the Curriculum Marking Student Responses Working with Students Further Resources This task is about growing patterns and rules. These cans are stacked in a display at the supermarket. Look at the pattern of how the cans are stacked and answer the following questions. Question 1Change answer a) How many cans would there be in a stack which is: a) How many cans would there be in a stack which is: i) 2 rows high? ii) 5 rows high? iii) 8 rows high? Question 1Change answer b) Complete this sentence: b) Complete this sentence: "Each row in a stack has more can(s) than the row on top of it." 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, recursive rules Description of task: Students work out the number of cans in a stack of a given height, and complete a sentence that states the rule. 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 (12/1997) a) i) ii) iii) 3 15 36 easy easy difficult b) 1 moderate Diagnostic and formative information: Student response Likely calculation a) i) 5 Takes off top can from stack of six cans. a) i-iii) 2, 5, 8 respectively 4, 10, 16 respectively Height of cans. Multiplies height of cans by two. b) 3 or 4 Gives number of cans in bottom row of diagrams. Matchstick patterns II Fish patterns Pyramid pattern Making triangle patterns II Block patterns II Making stick patterns Stick patterns and rules II Stick patterns and rules Making stick patterns II Making more stick patterns
