HW: Complete the review for test #7.
Students filled in the blank unit circle and then used it on our Kahoot game. Afterwards, students completed their quiz on periodic functions and the unit circle. Students also received a review for test #7, which will be on Tuesday, May 14th.
HW: Complete the review for test #7.
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Students completed the blank unit circle and then worked on the short DE Trig Quiz #1.
Then we completed the last portion of our notes on s = r*theta (where theta is in radians). Use the videos for review or practice: https://www.khanacademy.org/math/geometry/hs-geo-circles/hs-geo-arc-length-rad/v/arc-length-from-angle-measure https://www.youtube.com/watch?v=uGVxnAOnm7w Then we played a Kahoot game that reviewed angles and some unit circle values. HW: Complete the homework page (front & back) of the Radian Measure packet. Quiz tomorrow on angles and the unit circle with trig values (sine, cosine, and tangent). Test will be next Tuesday, 5/14. Students completed the unit circle using degrees and corresponding coordinates and then answered 3 questions warm-up on trig values (sine, cosine, and tangent) on the unit circle. We used our conversion that 360 degrees = 2 pi radians to complete the angles in the unit circle with radian measures. We watched a short video (song) on the unit circle (click the honors algebra 2 tab to hear it again).
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) & play the unit circle game using the link in your google classroom. Students completed the degrees and corresponding coordinates for the unit circle. Then they used the circle to answer 12 questions on sine, cosine, and tangent values at various degree measures.
Then we looked at another way to measure an angle instead of degrees (the powerpoint is in your google classroom). 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 1 - 7 on the last page (converting between degrees and radians & vice versa) Students completed a review using discoveryeducation.com on coterminal angles and reference angles. We also reviewed the pattern on the unit circle and saw how we could determine the sine (the y-value) of a given angle and the cosine (the x-value) of a given angle on the unit circle (a multiple of 30 or 45 degrees).
We completed about 12 sine or cosine questions in class. HW: Complete 1/2 sheet 1 - 16 on the sine and cosine values and the exit slip (on the back of the DE review worksheet). Students completed a quick 5 question warm-up which we went over. 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.
HW: Complete other side of the warm-up. Students completed the 13.2 vocab support (except for sine and cosine questions). Then we completed a review of the Pythagorean theorem with two special triangles: the right isosceles (45-45-90) and the 30-60-90 triangle. We used the special ratios to find missing side lengths.
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 how to use the special ratio to find the legs of a right isosceles if the hypotenuse was a length of 1 unit. 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. HW: Complete the Rotations and Angles Terminology packet. We will finish the unit circle tomorrow. |
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