Lengths and angles 0 Overview Using this Resource Connecting to the Curriculum Marking Student Responses Working with Students Further Resources This task is about what happens to lengths and angles under enlargement. In this diagram shape X has been enlarged by a scale factor of 3 to create shape Y. Use the diagram to answer the following questions. Question a) The lengths of each side of shape Y are all ... smaller than the sides in shape X. the same as the sides in shape X. 3 times as long as the sides in shape X. 6 times as long as the sides in shape X. 9 times as long as the sides in shape X. Question b) The angles in shape Y are ... all smaller than the angles in shape X. all the same as the angles in shape X. all bigger than the angles in shape X. sometimes smaller and sometimes the same as the angles in shape X. sometimes bigger and sometimes the same as the angles in shape X. Task administration: This task can be completed online and has auto marking displayed to students. Level: 4 Curriculum info: Maths, Geometry and Measurement, Transformation Keywords: enlargement, resizing, scale factor, invariant properties, length Description of task: Students identify invariant properties for enlargement. Learning Progression FrameworksThis resource can provide evidence of learning associated with Geometric thinking, sets 4-5 within the Mathematics Learning Progressions Frameworks.Read more about the Learning Progressions Frameworks. Answers/responses: Y8 (06/1998) a) C - 3 times as long as the sides in shape X (length). very easy b) B - all the same as the angles in shape X (angles). moderate Diagnostic and formative information: Common error Likely calculation b) C - all bigger than the angles in shape X. Incorrect idea on angles. Sees bigger angles on bigger shapes. Translation and enlargement Enlarge the arrow Transforming traffic lights What changes? Transformation properties
