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MATHEMATICS OBJECTIVE
Students will be able to:
Describe and perform a sequence of transformations.
Apply their knowledge of transformations to solve problems.
ESSENTIAL UNDERSTANDING
It is possible to use more than one transformation to map a preimage onto its image. This is called a sequence of transformations. Sometimes it can be easier to find a required transformation using a sequence of simple steps.
I can describe and perform more than 1 transformation in a row.
SEQUENCES OF TRANSFORMATIONS
You can use a sequence of two or more transformations to map a preimage to
its image.
EXAMPLE AND COORDINATE PLANE DIAGRAM
You can map triangle ABC onto triangle A''B''C'' by a translation 3 units
right followed by a 90° clockwise rotation about the origin.
The diagram shows three triangles on a coordinate plane:
- Blue: original preimage triangle ABC.
- Gray: intermediate triangle A'B'C' after translating 3 units right.
- Orange: final image triangle A''B''C'' after a 90° clockwise rotation
about the origin.
Transformation rules:
1. Translation 3 units right: (x, y) -> (x + 3, y)
2. Rotation 90° clockwise about origin: (x, y) -> (y, -x)
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