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, Algebra 2 Opener(s) 5/28 5/28 It’s National Brisket Day, National Senior Health and Fitness Day, Whooping Crane Day, Amnesty Day, the Feast of ZeroWork, Hamburger Day and James Bond Day!!! Happy Birthday Ian Fleming, Carey Mulligan, Colbie Caillat, Toronto Mayor Rob Ford, John Fogerty, Patch Adams, Gladys Knight, Rudy Giuliani, Maeve Binchy, Walker Percy, Patrick White and Jim Thorpe!!! 5/28 What to do today: 1. Do the opener. 2. Ask HW ?s. 3. Practice trig applications. 4. Record s of elevation and depression models. 5. Practice s of el. and dep. 6. Do the exit pass. TODAY’S OPENER In the figure below, what is the length of side b? √170 7 Agenda 1. Opener (5) 2. HW ?s (5) 3. Practice: Wksht. 7-5, p. 378 (15) 4. Models: Angles of Elevation and Depression (15) 5. Practice: Wksht. 7-5, p. 377-378 (10?) 6. Exit Pass (5) Standard(s) CCSS-M-G-SRT.8: Use trigonometric ratios and PYT to solve right triangles (in applied problems). Essential Question(s) a. How do I (HDI) find a right missing side measure or angle? Objective(s) Students will be able to (SWBAT) find the measure of a ‘missing’ hypotenuse. SWBAT find the measure of a ‘missing’ leg. SWBAT draw and label right s. SWBAT find a missing non-right angle in a right triangle. SWBAT apply PYT. SWBAT manipulate trigonometric ratios. b √𝟐𝟏𝟗 √𝟏𝟕𝟕 11 √𝟏𝟔𝟑 10 The Last Opener The roof of the house shown below is a right . The front of the house forms a square. Which of the following is the correct relationship among s and sides in the figure? s r X t 𝒔 Sin X = 𝒓 Cos X = 𝒕 Cot X = Tan X = 𝒓 𝒕 Sec X = 𝒔 𝒓 𝒕 𝒓 𝒕 Exit Pass SHOW WORK! The Last Exit Pass HOMEWORK Period 4, 5 & 8 Finish Geo Wksht. 7-4, 373. Extra Credit Period 4 Jenny V. (18x) Abby (15x) Alfredo (13x) Jesse (2x) Brian R. (14x) Vanessa (13x) Giselle Veronica (2x) Jasmine (3x) Miguel (8x) Gio (4x) Period 5 Jackie (19x) Miguel (4x) Quetzali (5x) Miguel Veronica (16x) Steven Romy (3x) Adilene (5x) Jasmine Alma Period 8 Maria (3x) Jessica (2x) Jesus P. Xavier (7x) Lupe (8x) Sandra (10x) Lyiah Sergio (2x) Jasmine Denise Marisol Erica Kayla (2x) Andrea Laneka Marco Classwork Rubric Concessions Systems Worksheet, #1-4 50%: Setup equations for #1. 64%: Above conditions plus correct #1 solution. 76%: Above conditions plus correct setup of equations for #2. 88%: Above conditions plus correct #2 solution and correct setup of equations for #3. 93%: Above conditions plus correct #3 solution and correct setup of equations for #4. 100%: Above conditions plus correct #4 solution. May 16, 2014 Some Of Hancock’s Classes Are Hard To Obtain A’s (in) I know about PYT… If you have the measures of 2 sides of a right triangle, you can find the 3 rd by using: 12 a 2 + b2 = c 2 15 but what happens if I only know an angle measure and 1 side? Essential Question(s) How do I (HDI) find the measure of ‘immeasurable’ distances in a triangle? Objective(s) Students will be able to (SWBAT) name the three trigonometric ratios and their corresponding fractions. SWBAT determine numerical trigonometric ratios in a triangle. SWBAT find missing side lengths in a triangle using trigonometric ratios. If you have the measure of 1 side and 1 angle of a right triangle, you can find the other sides by using: 12 SOHCAHTOA 15° Some Of Hancock’s SOH Classes Are Hard CAH To Obtain A’s (in) TOA Sine (Sin) Cosine (Cos) Tangent (Tan) Opposite Hypotenuse Adjacent Hypotenuse Opposite Adjacent 𝑶𝑷𝑷 𝑯𝒀𝑷 𝑨𝑫𝑱 𝑯𝒀𝑷 𝑶𝑷𝑷 𝑨𝑫𝑱 The HYPOTENUSE is the looooooooooongest side of the triangle. The OPPOSITE side is the side across from the known angle. The ADJACENT side is the side touching the known angle. JENNY’S FISHTAIL Step 1. Draw an arrow from the known (NON-90°) to the side across from it. That’s the OPP (opposite side). Step 2. Draw an arrow from that arrowhead around the right box. That’s the ADJ (adjacent side). Step 3. Draw an arrow from that arrowhead to the longest side. That’s the HYP (hypotenuse). Models Practice / Homework j