Students will learn what the quadratic formula is and how to use it to factor and solve quadratics. They'll also learn how to derive it by completing the square. Here's a video covering the derivation. When asking students to solve quadratics using the quadratic formula, don't just ask them to solve equations like \(ax^2 + bx + c = 0,\) but also variations, such as \(bx + ax^2 = c.\) Next, give your students this challenge: Find the value of \(x\) (video):
$$x = 1 + \dfrac{1}{1 + \dfrac{1}{1 + \dfrac{1}{1 + \ldots}}}$$Lastly, give your students this challenge.