The purpose of this activity is to help students understand reflections and generalise their knowledge beyond reflections in the x and y axes. The inclusion of a reflection in the line y = x is included but no mention of 'inverse', just a focus on the basic concept that the reflection will be the same distance from the mirror as the object. Students also explore functions that are invariant in a reflection.
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Students watch the reflections video to get a basic understanding and then use their calculator to explore and generalise. The activity includes extension questions that explore reflections in lines x = m, y = n and y = x.