Overview
In this unit, students will expand upon their knowledge of quadratic functions and equations. This will include graphing and transformations of equations, writing and solving equations in various ways, and modeling real-life situations. It is anticipated that this unit will take from six to eight weeks in a traditional hourly schedule.
Mastered HSCEs
L2.1.4 Know that the imaginary number i is one of two solutions to x2 = -1.
A3.3.1 Write the symbolic form and sketch the graph of a quadratic function given appropriate information (e.g., vertex, intercepts, etc.)
A3.3.2 Identify the elements of a parabola (vertex, axis of symmetry, and direction of opening) given its symbolic form or its graph and relate the elements to the coefficient(s) of the symbolic form of the function.
A3.3.3 Convert quadratic functions from standard to vertex form by completing the square.
A3.3.4 Relate the number of real solutions of a quadratic equation to the graph of the associated quadratic function.
A3.3.5 Express quadratic functions in vertex form to identify their maxima and minima and in factored form to identify their zeros.