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Lesson Plan: Quadratic Functions in Different Forms Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to evaluate and write a quadratic function in different forms.
Objectives
Students will be able to
- understand the vertex form of a quadratic equation and how to use this form to find the features of the graph of a quadratic function, including the intercepts, extrema, vertex, axis of symmetry, range, and domain,
- use the vertex form of a quadratic function to consider the number of solutions a quadratic function will have graphically,
- convert between the different forms of a quadratic function to find its key features,
- understand the features of the graph of a quadratic function in factored form, including repeated roots,
- find unknown values in a quadratic function equation using any of its features and points on its curve,
- identify the possible equation of a function in any form from its graph.
Prerequisites
Students should already be familiar with
- completing the square,
- the standard form of a quadratic function,
- factoring quadratic functions,
- graphing quadratic functions in standard form,
- the features of a graph of a quadratic function.
Exclusions
Students will not cover
- the quadratic formula and discriminants.
