Today we start by going over the unit review that students completed for homework. I will show the answers while students check their work and discuss with their table groups.
We will go through questions as a class. Students will usually ask about #1 since it is has to do with systems of conics - a concept I didn't explicitly teach this unit.
My students will almost always ask about question #10. Many students will put -38 degrees at their answer and the answer key says 52 degrees. We will talk about why both are acceptable answers. An important distinction to make is that if you rotate -38 degrees or 58 degrees, the graphs will look identical but the equations will be different. This is because for -38 degrees the x' axis is in quadrant IV and for 52 degrees the x' axis will be in quadrant I. Most students get -38 degrees for their answer since they use inverse tangent on the calculator, so this is a good opportunity to review the restricted range of the inverse trig functions.
Here is a review game that we will play as a class to get ready for our assessment over conic sections. This PowerPoint has questions that can be used with the class. I discuss the rules of the game in this video below.
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