Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.
We Have a Match: Students work in pairs to complete the square in each of six quadratic functions. The vertices match – making the work self-checking.
I created this activity because my students needed extra practice using completing the square to find the vertex form of the quadratic equation. My students enjoy partner activities! They appreciate being able to check their work easily.
After students complete the square to find the vertex, they can describe the attributes of the quadratic functions. A table is provided for students to enter their equations in general form and in vertex form, the vertex, and the axis of symmetry.
Students could potentially graph the functions and/or find the x-intercepts.
Other Activities that focus on the forms of quadratic equations:
Forms of Equations Card SortGraphic Organizer Comparing Forms of Equations
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