Use the link below for reviewing the left hand rule for sine and cosine values.
https://www.youtube.com/watch?v=LE6dmczMc68
We ended with playing a 12 question Kahoot game on the unit circle.
WS 13.3 packet was collected.
HW: WS 13.3 (both sides)
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Students used the first 30 minutes of class to work on WS 13.3. Then we showed how to use our left hand to visualize the first quadrant of the unit circle and calculate the sine and cosine values at 0, 30, 45, 60, and 90 degrees.
Use the link below for reviewing the left hand rule for sine and cosine values. https://www.youtube.com/watch?v=LE6dmczMc68 We ended with playing a 12 question Kahoot game on the unit circle. WS 13.3 packet was collected. HW: WS 13.3 (both sides)
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We went over the homework from yesterday, making use of our common angles like 0, 30, 45, 60, 90 degrees which in radians are 0, pi/6, pi/4, pi/3, and pi/2. Then we completed a 20 question Kahoot on converting between radians and degrees and vice versa. Students were given time to complete their 1/2 sheet unit circle by completing the radian measures. Use this 1/2 to help complete the 13.3 packet.
HW: 13.3 packet should be done by tomorrow, 4/13. Students completed the unit circle filling out all the angles in degrees and then we looked at the pattern for determining the coordinates in the first quadrant (use the square root of counting up and down to 4 and divide by 2).
Then we looked at another way to measure an angle instead of degrees. We found that we could describe an angle using the ratio of the arc length to the circle's radius (called a radian). We converted between radian measure and degree measurements ( 180 degrees = pi radians). We also used the formula s = r*theta (radian measure only) to get the arc length of any sized circle given its radius and radian measure. Use the links below for help/review https://www.youtube.com/watch?v=UTClXRvws8o http://www.mathsisfun.com/geometry/radians.html https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/v/we-converting-radians-to-degrees HW: Complete the 2nd page (front & back) of the 13.3 WS Packet on Radians. We went over the last page (3 - 7) and then discussed what is the unit circle. The unit circle is a circle centered at the origin with a radius of 1. In the unit circle, the cosine of the angle = x-coordinate on the unit circle at that angle and the sine of the angle = y-coordinate on the unit circle at that angle.
We showed how to calculate sine and cosine values for multiples of 90 degrees as well as 30, 45, and 60 degrees. For the last 3 angles, we used our special triangles from geometry to help us with the calculation. Use the link below for review. https://www.youtube.com/watch?v=1m9p9iubMLU&t=1s At the end, we played a 6 question Kahoot game that reviewed reference angles. HW: Complete the 13.2 packet. We watched the video below on coterminal angles. We also showed how to draw positive or negative angles. We also worked on identifying the reference angle from the given angle. Key point is that the reference angle is made with the terminal ray and the x-axis.
Coterminal Angles https://www.youtube.com/watch?v=dz5YpNFuhRQ Reference Angles https://www.youtube.com/watch?v=qgGFQXnuszk Use the links for extra help/practice: https://www.youtube.com/watch?v=VV3rSBae-KY https://www.youtube.com/watch?v=xfgleE_YR7s http://hotmath.com/hotmath_help/topics/coterminal-angles.html HW: Complete the first 2 pages (front & back of the packet - page 3 #1 is optional) We went over the vocabulary of periodic functions, period, cycle, and amplitude. We completed the vocabulary support WS 13.1 and most of WS 13.1 Practice together.
Use the video links below for review/practice https://www.youtube.com/watch?v=Sjcqur_dJAc https://www.youtube.com/watch?v=uIm12BxROMo https://www.youtube.com/watch?v=q7A8EvkmTUc HW: Complete WS 13.1 Packet We spent a second day reviewing concepts for the SAT (which is tomorrow) using another circuit training worksheet.
Students also received their chapter 8 tests back. I was able to answer questions about them in class. HW: Get a good night's rest and do your best on the SAT! Since most students are juniors, we watched a short video on the format and content of the math portion of the SAT. All juniors will be taking the SAT on April 5th. This is a requirement for graduation and the SAT score will be on the student's transcript.
Students then worked on a circuit training worksheet that reviewed concepts from pre-algebra, algebra 1-2 and algebra 3-4 as well as a little geometry. This should be completed by tomorrow. Use the links for more SAT Math practice (and the in class video) https://www.khanacademy.org/test-prep/sat/new-sat-tips-planning/about-the-sat-math-test/v/about-the-sat-math-test-what-to-expect https://www.princetonreview.com/college-advice/sat-math-practice HW: WS Standardized Test Circuit Training |
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