10/26 We created "paper waves" using the definitions of sine and cosine. Examples of those functions are hanging in the classroom now.
10/27 We graphed sine and cosine functions when the angles were measured in degrees and wrote equations of those functions when given the graphs.
10/30 We repeated everything we did on Friday, but we used radian measure instead.
10/31 We developed graphs of secant, cosecant, tangent and cotangent functions and graphed transformations of those functions.
11/1 We developed graphs of the inverses of the sine, cosine (and tangent) functions. ( We didn't get to the tangent although the concept is the same.) Here is that worksheet.
BIG PIECE OF INFORMATION: This year, I will use the following notation to represent functions:
-1 -1 -1
f(x) = Cos (x) f(x) = Sin (x) f(x) = Tan (x)
And this notation will be used to represent inverse graphs that are NOT functions:
y = arccos (x) y = arcsin(x) y = arctan (x)
10/27 We graphed sine and cosine functions when the angles were measured in degrees and wrote equations of those functions when given the graphs.
10/30 We repeated everything we did on Friday, but we used radian measure instead.
10/31 We developed graphs of secant, cosecant, tangent and cotangent functions and graphed transformations of those functions.
11/1 We developed graphs of the inverses of the sine, cosine (and tangent) functions. ( We didn't get to the tangent although the concept is the same.) Here is that worksheet.
BIG PIECE OF INFORMATION: This year, I will use the following notation to represent functions:
-1 -1 -1
f(x) = Cos (x) f(x) = Sin (x) f(x) = Tan (x)
And this notation will be used to represent inverse graphs that are NOT functions:
y = arccos (x) y = arcsin(x) y = arctan (x)
11/2 We clarified yesterday's lesson and looked at 1 application of trig graphing.
11/3 I checked to see if students had attempted the applications. Then we reviewed for the quiz on Monday, which will cover the material on the practice quizzes as well as all graphs we have covered so far, including reciprocal and inverse functions. Make sure you know about domains and ranges as well.
11/6. Students took the trig graphing quiz today . I plan to check The Circle of Life worksheet on Wednesday and the Biorythm lab is due Thursday. On Wednesday, we will do the Slinky lab. I know many students will miss it due to the Renaissance Festival, but I can stay Wednesday and Thursday afternoons so students can make up that lab. It is a good one that shows how amplitudes of trig graphs don't have to be constant.
11/3 I checked to see if students had attempted the applications. Then we reviewed for the quiz on Monday, which will cover the material on the practice quizzes as well as all graphs we have covered so far, including reciprocal and inverse functions. Make sure you know about domains and ranges as well.
11/6. Students took the trig graphing quiz today . I plan to check The Circle of Life worksheet on Wednesday and the Biorythm lab is due Thursday. On Wednesday, we will do the Slinky lab. I know many students will miss it due to the Renaissance Festival, but I can stay Wednesday and Thursday afternoons so students can make up that lab. It is a good one that shows how amplitudes of trig graphs don't have to be constant.