You did an excellent job conveying linear and quadratic functions to Irem through your lesson. One thing that worked really well is through the graphs drawn of both functions, demonstrating if they were increasing, decreasing, or what the vertex meant when it came to the max/min value. This way it helps with understanding visualization and potential SAT questions relating to those (visualizations are a great way to study!). Additionally, the quadratic function analogy with defining the solutions worked well with defining what the discriminant was. This way it helps with understanding what the solutions are like (if there's 1, 2, or imaginary solutions) and remembering how to check whether or not the quadratic function has solutions. While this is not required in solving quadratics, one suggestion I have next time is to check if your a, b, and c in a quadratic function (ax^2 + bx + c = 0) has a common factor or not. This is because if the common factor is divided out, the numbers would be much easier to work with, but again, it's completely optional.
Tutor · 3 mo. ago
