Finding the perimeter 0 Overview Using this Resource Connecting to the Curriculum Marking Student Responses Further Resources This task is about the different perimeters of same-sized shapes. On the grid below, five different shapes have been shaded in. Each shape has the same area of 6 unit squares. Question a) Which shape has the smallest perimeter? shape 1 shape 2 shape 3 shape 4 shape 5 Question b) Which shape has the greatest perimeter? shape 1 shape 2 shape 3 shape 4 shape 5 Question 1Change answer d) Complete the statement: d) Complete the statement: If several figures have an area of 9 squares, the shape which is has the least perimeter. Task administration: This task can be completed with pencil and paper or online. Copyright: Copyright: NZCER Levels: 3, 4 Curriculum info: Maths, Geometry and Measurement, Measurement Keywords: perimeter, area, unit squares Description of task: Students calculate the shapes with the largest and smallest perimeter and identify a relationship between the features of a shape and the perimeter. Learning Progression FrameworksThis resource can provide evidence of learning associated with Measurement sense, set 5Measurement sense, sets 6-7 within the Mathematics Learning Progressions Frameworks.Read more about the Learning Progressions Frameworks. Answers/responses: Y9 (05/1997) Y10 (07/1997) a) Shape 1 very easy very easy b) Shape 5 easy easy c) 3 × 3 9 × 1 shapes [A variety of shapes possible instead of 9 × 1] moderate moderate d) Square (or most compact or most regular) difficult moderate Calculating the perimeter Finding area and perimeter Measuring the extension How big is the community hall? Fencing the field Using string lines Using cubes Garden perimeter Making road signs Changing perimeter Area of 3 fields Same area, different lengths Smallest perimeter Making the largest perimeter Area and perimeter of four shapes Correcting mistakes Perimeter and length Extending the garden Fencing paddocks
