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AGENDAS FOR THE WEEK: P L A February 25 – March 1 MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY Objective(s): SWBAT *Students will be able to use what they have learned over the past few weeks to complete problems involving sine, cosine, and tangent. NGSSS: MA.912.T.1.8 - Solve real-world problems involving applications of trigonometric functions using graphing technology when appropriate. Objective(s): SWBAT * Students will be able to find the reference angle for a given angle. NGSSS: MA.912.T.1.5 - Make connections between right triangle ratios, trigonometric functions, and circular functions. Objective(s): SWBAT * Students will be able to draw right triangles on the unit circle in standard position. *Students will be able to determine the reference angle for a given angle in the second quadrant. *Students will be able to find the sine, cosine, and tangent of angles in the second quadrant. NGSSS: MA.912.T.1.3 - State and use exact values of trigonometric functions for special angles: multiples of π/6 and π/4 (degree and radian measures). Objective(s): SWBAT *Students will be able to draw right triangles on the unit circle in standard position. *Students will be able to determine the reference angle for a given angle in the third quadrant. *Students will be able to find the sine, cosine, and tangent of angles in the third quadrant. NGSSS: MA.912.T.1.3 State and use exact values of trigonometric functions for special angles: multiples of π/6 and π/4 (degree and radian measures). Objective(s): SWBAT *Students will be able to draw right triangles on the unit circle in standard position. *Students will be able to determine the reference angle for a given angle in the fourth quadrant. *Students will be able to find the sine, cosine, and tangent of angles in the fourth quadrant. NGSSS: MA.912.T.1.3 – State and use exact values of trigonometric functions for special angles: multiples of π/6 and π/4 (degree and radian measures). Engage Students who were absent Friday will be given the test to make up. Students who were not absent will be told to quietly work on their classwork. Engage The angles of the unit circle will be reviewed. The circle will be drawn on the board and the students will be required to respond with the angles in degrees and radians. Engage Students will be asked what to do when the angle is obtuse and a right triangle could not be produced by starting at the positive x-axis. Engage The second quadrant will be reviewed. The unit circle will be drawn on the board and the known values will be filled in. Engage The third quadrant will be reviewed. The unit circle will be drawn on the board and the known values will be filled in. Explore Students will be given an assignment to work on during class. The assignment will include real-world applications of sine, cosine, and tangent. Explore Students will be given the unit circle worksheet and asked to fill in the angles. Students will also be given paper triangles to place on the unit circle to determine the reference angles for a given angle. Students will be given rules (one acute angle must start at the origin and the right angle must lie on the x-axis) and told to find which triangle’s hypotenuse lines up with the terminal side of the requested angle. Explore A PowerPoint will be shown depicting the placement of right triangles in the second quadrant of the unit circle. The students will then be asked to use special right triangles to find the remaining side lengths and then find the sine, cosine, and tangent of the angle. Reference angles will be reviewed for the second quadrant. Explore A PowerPoint will be shown depicting the placement of right triangles in the third quadrant of the unit circle. The students will then be asked to use special right triangles to find the remaining side lengths and then find the sine, cosine, and tangent of the angle. Reference angles will be reviewed for the third quadrant. Explore A PowerPoint will be shown depicting the placement of right triangles in the fourth quadrant of the unit circle. The students will then be asked to use special right triangles to find the remaining side lengths and then find the sine, cosine, and tangent of the angle. Reference angles will be reviewed for the fourth quadrant. Explain Students will be asked how they would determine the Explain Students will be asked how they would determine the Explain Students will be asked how they would determine the Explain Since so many students will be making up Friday’s test, an explanation will not be conducted verbally. Elaborate If all of the students finish before class ends, the class can begin discussing sine, cosine, Explain and tangent in other quadrants. The students will be given a chart and asked to record the values they found. The students will be called up to record the values on the board. The students will then compare their chart to the class chart. Elaborate The class will discuss how the reference angle can be calculated for each quadrant. N Resources: reference angle of an angle and how this could be used to draw a triangle and then find the sine, cosine, and tangent of the angle. The students will record their new point values on the unit circle and the trig chart from the previous day. reference angle of an angle and how this could be used to draw a triangle and then find the sine, cosine, and tangent of the angle. The students will record the new point values on the unit circle and the trig chart from the previous day. reference angle of an angle and how this could be used to draw a triangle and then find the sine, cosine, and tangent of the angle. The students will record the new point values on the unit circle and the trig chart from the previous day. Elaborate Students will be asked how they would solve problems involving sine, cosine, and tangent of angles co-terminal to angles from the second quadrant. Elaborate Students will be asked how they would solve problems involving sine, cosine, and tangent of angles co-terminal to angles from the third quadrant. Elaborate Students will be asked how they would solve problems involving the sine, cosine, and tangent of angles coterminal to angles from the fourth quadrant. Evaluate and Summary Students who made up the test will be required to complete the classwork for homework. Evaluate and Summary Homework: “Trig Worksheet” (35-48) Evaluate and Summary Homework: pg. 264 (Written 1-5, 17-18, 53-54) Evaluate and Summary Homework: pg. 264 (Written 8-11, 14, 16, 18, 56-57, 59) Evaluate and Summary Homework: pg. 264 (Written 6-7, 12-13, 15, 20, 55) 1 “Real World Problems Trig” Worksheet per student 2 “Unit Circle” Worksheets per student 1 set of “Triangles” per student 1 “Trigonometry Chart” per student 1 “Trig Worksheet” per student Unit Circle Trigonometry – Q2 PowerPoint 1 “Unit Circle Memory Quiz” per student Unit Circle Trigonometry – Q3 PowerPoint Unit Circle Trigonometry – Q4 PowerPoint