Measuring the extension 0 Overview Using this Resource Connecting to the Curriculum Marking Student Responses Working with Students This task is about working out perimeter and area. The Henare whānau have their cousins coming to live with them. They are building an extension and the rest of the section is grass. Question 2Change answer a) What was the area of the original cottage? m2 Question 2Change answer b) When only the cottage was on the section, what was the area of grass to mow? m2 Question 2Change answer c) What was the total area of the house when the extension was put on? m2 Question 2Change answer d) What is the perimeter of the Henare home now? m Question 2Change answer e) How much grass is there left to mow now? m2 Task administration: This task can be completed with pencil and paper or online (with SOME auto marking). Level: 4 Curriculum info: Maths, Geometry and Measurement, Measurement Keywords: area, perimeter, composite shapes, rectangles Description of task: Students calculate the area of an extension to a cottage and the area around the buildings. Learning Progression FrameworksThis resource can provide evidence of learning associated with Measurement sense, sets 6-7Multiplicative thinking, sets 6-7 within the Mathematics Learning Progressions Frameworks.Read more about the Learning Progressions Frameworks. Answers/responses: Y8 (10/96) Y9 (10/96) a) 77 (11 × 7) difficult moderate b) 627 (704 – 77) [Accept if equal to 704 – answer to a).] difficult moderate c) 250 (182 + 77 – 9) [Accept if equal to 173 + answer to a).] very difficult difficult d) 78 (14 + 10 + 8 + 7 + 11 + 4 + 11 + 13) very difficult difficult e) 454 (704 – 250) very difficult difficult Diagnostic and formative information: Common error Likely calculation Likely misconception a) 32 56 84 56 8 × 4 8 × 7 7 × 12 7 × 8 Getting incorrect dimensions of cottage. b) 704 32 × 22 Confuses area and perimeter.
