Students will learn how to convert a quadratic in standard form to vertex form. First, students will use their ability to complete the square using algebra tiles, to convert from standard form to vertex form. Demonstrations can be seen here and here. This method is not limited to monic quadratics, I just couldn't find a video featuring non-monics. After that, students will learn the abstract method, as seen here. Next, students will learn how to convert vertex form to standard form.
Conclude by giving your students these challenges:
Prove \(n(n + 1)(n + 2)(n + 3) + 1\) is always a perfect square. Here's the solution: