Transformations treasure trail
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1 Task 1 1. Reflect A in the x-axis to get B. 2. Reflect B in the line x = 1 to get C Translate C by the vector to get D Reflect D in the line y = 1 to get E Translate E by the vector to get F Reflect F in the line x = 2 to get G. The treasure is at coordinate Page 1 of 8
2 Task Translate A by the vector 6 to get B. 2. Reflect B in the line x-axis to get C. 3. Reflect C in the line y = x to get D Translate D by the vector to get E Reflect E in the line y = x 1 to get F. 6. Reflect F in the line y = 5 x to get G. The treasure is at coordinate Page 2 of 8
3 Task 3 1. Reflect A in the line y = x 8 to get B Translate B by the vector to get C Rotate C 90 o clockwise about the origin to get D. 4. Reflect D in the line y = x 7 to get E. 5. Rotate E 180 o about the point (2,1) to get F. 6. Rotate F 270 o clockwise about the point ( 3,5) to get G. The treasure is at coordinate Page 3 of 8
4 Task Translate A by the vector to get B Translate B by the vector to get C Translate C by the vector to get D Translate D by the vector to get E Translate E by the vector to get F Translate F by the vector to get G. 1 The treasure is at coordinate Page 4 of 8
5 Task 5 1. Enlarge A by scale factor 2, centre (0,0) to get B. 2. Rotate B 90 o anticlockwise about the origin to get C. 3. Reflect C in the line x + y = 8 to get D. 4. Enlarge D by scale factor ½, centre (0,0) to get E. 5. Reflect E in line x = -3 to get F. 6. Enlarge F by scale factor -1 about (-5,0) to get G. The treasure is at coordinate Page 5 of 8
6 Design your own treasure trail for a classmate to follow! Design an arrow on the axes below, then in the left hand panel describe some transformations to move the shape around the grid. With each transformation, remember that the shape must stay within the grid you may wish to sketch your answers on a separate piece of paper to check. Transformations The treasure is at coordinate Page 6 of 8
7 Teaching notes Transformations treasure trail Each treasure trail provides a different level of difficulty: 1. Translation by a vector, and reflection in horizontal and vertical lines. 2. Translation by a vector, and reflection in horizontal, vertical and 45 o lines. 3. Translation by a vector, reflection in horizontal, vertical and 45 o lines, and rotation. New Tasks added October 2014: 4. Translation by a vector. 5. Rotation, reflection in a diagonal line and enlargement with negative and fractional scale factors. You can also differentiate within each tasks 1-3 by asking students to transform the arrow with or without the internal shading. Reveal the location of the treasure for easy self-assessment. You could provide chocolate coins for all correct answers! The extension task on the following sheet asks students to create their own treasure trails. No transformation should send a shape off the grid, and you could ask students to ensure no two shapes will overlap for an added challenge Page 7 of 8
8 Answers Transformations treasure trail Task 1 Task 2 Task 3 Treasure at coordinate (0,6) Task 4 Treasure at coordinate (3,-5) Treasure at coordinate (-6,10) Task 5 Treasure at (0,0) Treasure at coordinate (-5,-1) Page 8 of 8
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