Welcome! Please take 1 half sheet of white copy paper and you may borrow a ruler or any colored pens/pencils.

Transcription

1 Welcome! Please take 1 half sheet of white copy paper and you may borrow a ruler or any colored pens/pencils. As a team you will create a detailed solution of the designated homework problem. Write legibly and nice! These will be presented by you. Get started you have 5 minutes! Table 1&7&12: Pg. 401 #31 Table 2&8: Pg. 401 #33 Table 3&9: Pg. 384 #25 Table 4&10: Pg. 384 #29 Table 5&11: Pg. 384 #31

2 U6H6 Corrections You will meet with the other table(s) that completed the same problem as you and compare solutions. As a whole group decide which team will present under the document camera. Table 1&7&12: Pg. 401 #31 Table 2&8: Pg. 401 #33 Table 3&9: Pg. 384 #25 Table 4&10: Pg. 384 #29 Table 5&11: Pg. 384 #31

3 U6H6 Corrections As the other teams present, please ask as many questions as you can so that you can fully understand the material! Table 1&7&12: Pg. 401 #31 Table 2&8: Pg. 401 #33 Table 3&9: Pg. 384 #25 Table 4&10: Pg. 384 #29 Table 5&11: Pg. 384 #31

4 Agenda U6H7: Pg. 401 #29, 32, Updates: U6T ( , ) will be 1/28 Reminder: U6Q1 Must be taken by TODAY! 3 rd Period Alden, Megan

5 Agenda 1. Correct U6H6 2. Agenda + Return Materials 3. Finish U6L6 4. U6L7 5. Exit Ticket 6. Return U6Q1

6 Learning Objectives By the end of this period you will be able to: Ø Graph transformations of the Secant and Cosecant Parent Function. Ø Graph transformations of the Tangent and Cotangent Parent Function.

7 6.7 Graphing Other Trigonometric Functions o Put the other piece of white paper over the Cosine Parent Function. Trace the x and y axis. Label the top of your white paper Secant Parent Function. (on the x- axis I would count by π/4 and on the y- axis 1) On your whiteboard please complete the following table for y = sec(x). Use y = cos(x) to help you! Plot the points and connect the dots!

8 6.7 Graphing Other Trigonometric Functions Let s do Practice (1c) as a class, then you will do (1d) in your groups.

9 6.7 Graphing Other Trigonometric Functions Independent Reflection (do on the back of secant graph) q What similarities do you see between cosecant and secant parent graphs? q What do you notice about sine and cosecant parent graphs? q What do you notice about cosine and secant parent graphs?

10 Whiteboards! Using the descriptions write the appropriate equation. (a) Cosine, Amplitude = 3, Period = 3π, Vertical shift = - 2 (b) Cosecant, Phase shift = π/2, Frequency = 3 (c) Secant, Reflection across the x- axis, Amplitude change = 5, Period change = 2π/3, Phase shift = - π/3

11 Graphing Tangent and Cotangent o I will pass out U6L7 all you need is a ruler to make nice straight lines.

12 Graphing Tangent and Cotangent

13 Graphing Tangent and Cotangent o In a highlighter, highlight one period for tangent. In a different colored highlighter, highlight the main points of the tangent parent.

14 Graphing Tangent and Cotangent (1) Practice: Graph the function. Identify the period. (a) y=tan(θ- π/4)+2 (b) y=tan3(θ- π/12)

15 Graphing Tangent and Cotangent

16 Graphing Tangent and Cotangent

17 Graphing Tangent and Cotangent (2) Practice: Graph the function. Identify the period. (a) y= - cot(θ+π/2) (b) y=cot2θ+0.5

18 Graphing Tangent and Cotangent We have learned ALL of our Trigonometric Functions! We will do a couple of quick whiteboards and then we will be done!

19 Whiteboards Write an equation for the given function given the following information. (Keep in mind the original transformation formula y = a sin b (θ h) + k ) 1 tangent function, period = 3π, phase shift = 0, vertical shift = Secant function, period = π/3, phase shift = - π/2, vertical shift = 5 3 Cotangent function, period = π/2, phase shift = π, vertical shift = - 11

20 Exit Ticket Please put everything away except for a pencil, eraser, and calculator. You will have 4 minutes to complete the exit ticket; cover your own papers. J Please check your desks; did you leave trash behind?

21 Timings Correct U6H6: 15mins 11:03 1:21 Agenda + Materials: 5mins 11:08 1:26 Finish U6L6: 25mins 11:33 1:51 U6L7: 45mins 12:18 2:36 Exit Ticket: 7mins 12:25 2:43 Return U6Q1: 5mins 12:30 2:48

22 Table 1 Table 2 Table 3 John Alden Josh W. James Danny Wing Mika Matt Mike Table 4 Table 5 Table 6 Table 7 Brenda Tyler Collin Joey Alyssa Aalia Josh M. Tonya Aaron Ethan Karen Table 8 Table 9 Table 10 Table 11 Table 12 Andrew Kayla Megan Eliana Eden Simmons Avalon Yasmine Jung Won Cailey Leila Justin Nick Kyra

23 Table 1 Table 2 Table 3 Abdul Joe Nat Nathalie Aimee Bella Kelly Sami Arthur Table 4 Table 5 Table 6 Table 7 Broneil Aaron Michael V. Emily Ali Brandon Amelia Michael C. Anna Jacob Galen Cassie Table 8 Table 9 Table 10 Table 11 Table 12 Kasey Allison Noah Tam Kevin Nirav Sarah Jennifer Baylee Brad Pranav Kelsey Lauren