Wednesday, February 8, 2017

QUIZ PREP (also HW)

As I said today there will most likely be a snow day, but do not plan for it. Be ready to take the quiz tomorrow but if the snow does come just remember to brush up a bit during the snow day or before school so you can get your brain back into math.

The HW is just to finish the packet. I'll be attaching a key at the bottom so check your answers and make sure they're right.

The quiz will contain:

  • Sketching angles given in radian measure
  • conversion from degrees to radians
  • conversion from radians to degrees
  • finding complementary/supplementary angles in radian measure
  • finding coterminal angles in radian measure
Some common troubles
  • CONVERT FROM DEGREES TO RADIANS: I will only give numbers in degrees that are multiples of the special angles. If you can't figure it out off the top of your head check your calculator. Attempt to divide the degree measure by 30, 45, 60, or 90.
    • Also feel free to cross multiply. Set up a proportion of your angle over the whole circle equal to the x/2pi
  • CONVERT FROM RADIANS TO DEGREES: Use the special angles (pi/3, pi/4, pi/6) to quickly convert.
  • The TABLE: The table is meant to organize your fractions, just remember that the whole circle is 2pi (or 360), half the circle is pi (or 180), use fractions of these numbers to convert to degrees or vice versa. Try and do the table a couple of more times using different methods to find each number.
  • The special angles being drawn in the coordinate plane. If I am drawing pi/3 then I cut the top and bottom PI into thirds. I then shade the first line because only the first chunk is covered by the rotation of pi/3. As you can see I labeled the pieces that I cut pi into. 
                                                pi/3
                                              pi/4
                                          pi/6








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