Unlocking Quadratic Transformations: From Vertex to Real World
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Students will identify and interpret key features (vertex, axis of symmetry, direction of opening, maximum/minimum, domain, range, x-intercepts) of transformed quadratic functions written in vertex form and standard form, in both mathematical and real-world situations.
Lesson Overview
Students progress from reading key features of a quadratic in vertex form to identifying and interpreting those features in real-world contexts, changing only one variable at a time across 9 thin-sliced tasks at vertical surfaces.
Materials
- Vertical whiteboards or chart paper
- Dry-erase markers (multiple colors)
- Pencils and paper for notes
Scaffolded Task Progression
(a) the vertex,(b) the axis of symmetry,(c) the direction of opening.
(a) the vertex,(b) the axis of symmetry,(c) the direction of opening. How does this graph compare to the one in Task 1?
(a) the vertex,(b) the axis of symmetry,(c) the direction of opening. What is different from Task 1?
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