Enlargement, length and area 0 Overview Connecting to the Curriculum Marking Student Responses Working with Students Further Resources This task is about how the scale factor enlargement affects length, area, and volume of 2 and 3 dimensional shapes. Question 1Change answer a) If the square above was enlarged by a scale factor of 5: a) If the square above was enlarged by a scale factor of 5: what would be the length of each side? metres what would be the area? square metres Complete the following sentence. The area of the enlarged square would be times the area of the original square. Question 1Change answer b) If the regular hexagon above was enlarged by a scale factor of 4 b) If the regular hexagon above was enlarged by a scale factor of 4 What would be the length of each side? Complete the following sentence. The area of the enlarged hexagon would be times the area of the original hexagon. Question 1Change answer c) If the cube above was enlarged by a scale factor of 3: c) If the cube above was enlarged by a scale factor of 3: What would be the length of each side? What would be the volume? Complete the following sentence. The volume of the enlarged cube would be times the volume of the original cube. Level: 5 Curriculum info: Maths, Geometry and Measurement, Measurement, Transformation Keywords: enlargement, resizing, scale factor, length, area, volume Description of task: Students complete statements which explore the relationship between scale factor enlargements and length, area, and volume of 2 and 3 dimensional shapes. Learning Progression FrameworksThis resource can provide evidence of learning associated with Geometric thinking, set 6Measurement sense, sets 7-8 within the Mathematics Learning Progressions Frameworks.Read more about the Learning Progressions Frameworks. Answers/responses: Y10 (10/1998) a) i) ii) a) b) 10 100 [Accept a) i)2] 25 easy easy difficult b) i) ii) 13.6 16 easy very difficult c) i) ii) a) b) 6 216 [Accept c) i)3] 27 easy moderate difficult Diagnostic and formative information: Common error Likely calculation Likely reason a) i) b) 40 10 × 4 Confuses area and perimeter. a) ii) b) ii) 5 4 Uses scale factor rather than scale factor2. c) ii) 3 Uses scale factor rather than scale factor3. c) ii) 36 216 ÷ 6 Assumes area of small cube = 6 (= 2 + 2 + 2 instead of 2 × 2 × 2). Enlarging diagrams Enlargement and area Using the centre of enlargement Translating points Isometric drawings School extensions Finding the centre of enlargement Length and scale factor Reducing the logo Using the centre of enlargement II Predicting resizing Enlarging animals Enlarging road signs Enlarging blocks Scale factor and dimensions Travel posters
