Reflection On Students Lessons To Understanding Complex Solutionss Of Quadratics

I think, overall, that my lesson went well. My lesson plan was focused on students building off their previous knowledge of solving quadratics to understand complex solutions of quadratics. For this lesson I started off by allowing students to solve a quadratic I had written on board. However the quadratic equation I had written on the board was the wrong equation so students got stuck when they tried to use the quadratic equation because they got a negative under the square root. From there, we went to the graph of the quadratic to see if that would be able to help identify the x-intercepts. But, the equation didn’t have any real solutions so there were no x-intercepts for us to use. Next, I instructed the students to play around with some …show more content…
They agreed that relating the complex solution and the graph throughout the entire lesson was beneficial and helpful. They thought that this would be good because students would be able to see the connection between the graph and the solution. They also agreed that the exploration of the meaning of i was helpful and including the calculator in that would help show students see the value of i. Overall, I thought the lesson was good and with more time would of been great to keep practicing solving quadratics with complex …show more content…
At the time ____, there was a pause and I was unsure where what I wanted to do next. This to me shows that I was not as well prepared for my lesson as I intended to be. Also at times _____ and _____, there were times when I asked a question and students did not answer or said correct information but not what I was working on. Therefore, I would want to work on my precision of words and being more specific on the types of questions I asked. Along with that I would want to use more precise language during my lesson. For example at ____ time, I asked Helen “ “. Then Helen hesitated and I had to scaffold her through to the answer. This was an example of when my question wasn’t as precise as I wanted. Throughout the entire lesson, I would use informal terms that are not appropriate when I am instructing. For my next lesson I want to work to focus on correct language and saying the right terms during my lesson. I can see that it would be confusing if I mixed my words up for students who already maybe confused during the lesson. At ___ time, I explained imaginary numbers. I did not think that this was the best way to explain it. Next time I would want to be able to better explain that the number isn’t just a random number that was created but a number that was constructed in order to solve equations that had a square root of a negative