RegGuheert Posted February 16, 2021 Share Posted February 16, 2021 I have done PSAT and SAT prep for 8 to 10 homeschool students for the past couple of years. The parents of many of the students who came to me were mostly interested in help with math, but I did prep for everything except the essay part of the test. After working with these tests for a while it became clear to me that the test writers of the math sections expect the students to be able to work fluidly between the equation-based representations of shapes and their graphical representations. I came to the realization that this was not how I was taught math and, with the exception of one student I had this year who used Singapore Math, that is not how the current curricula teach it either. Most of my student were unable to look at an equation on the test and tell me what shape it represented. They were very uncomfortable with me always asking "What is that?"...at least at first. I often got "It's an equation!" back. Sometimes "What is what?" What I see in textbooks are separate sections covering the graphs and the equations. What I also see is that the students have learned about these different things over a period of many years, so bringing the concepts together all in one place was helpful to them. So I decided to make graphical equation sheets that mapped the important features from the graph into the forms of the equations which appear on the test. The most basic of these is for the line and it shows up on the largest number of problems, but the one which I think is most valuable for students trying to get into higher echelon of test scores is the parabola. I will say that even my most mathy moms, and I had some moms who are *very* good at math (better than I am), found nuggets on those sheets which they had never realized before. I also learned a lot about these relationships myself! I will encourage you to have a look at these yourself if you are teaching high school math as there may be some tips that can help you better understand the relationships involved in a way that can help you teach your students. There are four equation sheets that I have created. I will attach them to four separate posts in this thread and will give a brief introduction to each to allow separate discussions for each one. I hope these are helpful to someone! 7 6 Quote Link to comment Share on other sites More sharing options...
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