HW: Start working on the Review 13.1 - 13.3. Any missing work should be turned in. Look under Standard 11.
We went over questions from WS 13.3 and WS Radian Measurement. Both of these were collected. Then we played a Kahoot game to review sine & cosine values on the unit circle. Students used the last 20 - 25 minutes of class to work on their Quiz 13.1 - 13.3.
HW: Start working on the Review 13.1 - 13.3. Any missing work should be turned in. Look under Standard 11.
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We reviewed the unit circle using the left hand rule (for sine and cosine of the angles). Students played Showdown to quiz each other on the sine & cosine of degree and radian measure angles. Lastly, we played a Kahoot that reviewed the same ideas.
HW: Complete WS 13.3. Quiz 13.1 - 13.3 is on Monday. We will review for the first 15 - 20 minutes. Students completed a 5 question warm-up on right triangle trig and values of the unit circle. We looked at how we could use our left hand as representing the first quadrant of the unit circle. We also showed how to calculate the sine and cosine values at 0, 30, 45, 60, and 90 degrees using the left hand.
Use the link below for reviewing the left hand rule for sine and cosine values. https://www.youtube.com/watch?v=LE6dmczMc68 Then students assembled the unit circle in degrees and then radians. They used the last 10 - 15 minutes to quiz each other on values (in degrees and radians) of the unit circle. HW: Complete your work from yesterday (page 2 of the WS Radian Measurements). Quiz 13.1 - 13.3 will be on Monday, 4/16. As a warm-up, students completed the WS 13.2 Test Prep and the remaining sine and cosine questions on the vocab support page. We collected the 13.2 rotations & angle terminology packet. Also, turn in your 2 circuit trainings on SAT math review.
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 both sides of the attached worksheet: Radian Angle Measurement Homework Students received a 1/2 sheet warm-up that reviewed our work on angles from last week. We checked this in class with the 13.1 1/2 sheet homework quiz. We used the rest of the period to go over questions from last week's Circuit Training Worksheets. These reviewed SAT math concepts from algebra, geometry, and algebra 2 (this class).
HW: Do you best on the SAT tomorrow! We completed the paper plate activity that we started yesterday and students were able to fill in all the angles (in degrees) and their corresponding coordinates in the unit circle.
Students also received a second circuit training (mixed review 2) to help prepare for the SAT on April 10th. HW: Complete your first circuit training worksheets and your half sheet homework quiz on periodic functions. Students were given 3 colored "special" right triangles. Given the hypotenuse had a length of 1 unit, they were asked to use any geometry they learned to find the exact value of each missing side of the triangle. Eventually, students used the Pythagoren theorem as well as SOH-CAH-TOA and even combining the two 30 -60-90 triangle to create 1 isosceles triangle to find missing side lengths. We discussed all the different approaches.
Student were also given a paper plate that was folded in half 3 times to create 8 sections. We mentioned this was a perfect example of exponential growth! Then we labeled all the angles present and found their corresponding coordinate values. By folding, we estimated the y-coordinate to be close to 3/4. We used our pink 45-45-90 triangle to confirm the coordinate values. We did this for the 45 degree reference angle in quadrants II, III, and IV. Lastly, we drew in a 30 degree angle and a 150 degree angle and started to use our yellow triangle to find those coordinates. We'll complete the circle tomorrow. HW: Work on your WS Circuit Training - Mixed. We started by going over the front and back of the first page of the angles packet. We reviewed more examples of reference angles and coterminal angles. Then we discussed WS 13.1 and collected it and the 13.1 packet from Monday. Students also received a WS Circuit Training Mixed Review as practice for the SAT, which is on April 10th.
HW: Complete the front & back side of the page 2 of the angles packet, 1 - 5 & 8 - 10 on the vocab support page and work on the Circuit Training (due 4/9). We completed 3 review questions for the upcoming SAT. We also went over the last 2 pages of the 13.1 packet. Then we did a few problems together from WS 13.1. Lastly, we looked at how to graph 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 WS 13.1 & the front & back of the angle worksheet. Students received their Test 8.1, 8.2, 8.6 back. We went over common errors. Those students who wish to re-test must do so by Monday, April 9th.
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 the WS 13.1 packet. |
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