Guide TranStar through the perilous voids of space in search of a new home. Call upon the power of exotic space transformation phenomena to reflect, rotate, translate and dilate TranStar into the safety of the StarGate.
Curriculum-aligned activities
Rotate a shape with and without a centre of rotation. If the centre is given, then it will be at the centre of the shape or on one of its vertices. Use 90, 180, 270 degrees. Tracing paper is always permissible. Describe a rotation including finding the centre of rotation by trial and improvement. Understand that the image preserves length and angles. Do not use a coordinate grid, but only square paper.
Use a square grid to rotate a shape with any centre of rotation. Use 90, 180, 270 degrees. Tracing paper is always permissible. Describe a rotation including finding the centre of rotation by trial and improvement. Understand that the image preserves length and angles, i.e. congruent.
Reflect a shape vertically and horizontally on a square grid with a given mirror line. Describe a reflection, including saying where the mirror line is. Understand that the image preserves lengths and angles. The equation of the mirror line is not used.
Reflect a shape on a coordinate axes given only the equation of the mirror line, use only equations of the form y = a, x = a, y = x + a, y = -x + a, x + y = a. Describe a reflection including stating the equation of the mirror line. Understand that the image preserves lengths and angles, i.e. congruent.
Use a square grid to enlarge with or without a centre of enlargement. Use positive integer scale factors. Understand that lengths and perimeter are increased by the scale factor and angles are preserved. Describe an enlargement. Spot, from a set of possible shapes, which ones are enlargements of the original by consideration of the side lengths.
Use the coordinate axes to enlarge with or without a centre of enlargement. Use positive integer scale factors. Describe an enlargement. Understand that area is not preserved.