This textbook covers Algebra II and Trigonometry topics with chapters on equations and inequalities, linear equations and functions, systems of linear equations and inequalities, matrices, quadratic functions and more.

This resource is meant to supplement lessons on completing the square (quadratic equations) in order to find the vertex of a quadratic function and write the function in vertex form. The practice problems provide scaffolding to allow students to slowly build up to fully using the process of completing the square.

Sample Learning Goals
Describe how changing the coefficients of a quadratic function changes the graph of the function.
Predict how the graph of a parabola will change if the coefficients or constant are varied.
Identify the vertex, axis of symmetry, roots, and directrix for the graph of a quadratic equation.
Use the vertex form of a quadratic function to describe the graph of the function.
Describe the relationship between the focus and directrix and resulting parabola.
Predict the graph of a parabola given a focus and directrix.

The purpose of this task is to verify that the properties of exponents students know for
integer exponents also work for rational exponents. In the context of writing exponential equations
to represent the amount of interest earned over smaller intervals of time than annually, students
will solidify their understanding of working with rational exponents in conjunction with the
properties of exponents.