Do Now Take your calculator from the front. Put your work from the gallery walk in class yesterday on your desk with the score on top ready to be stamped. (Add your total if you haven’t already.) Sit in your seating chart and assign roles to your group members: –Team captain –Materials gatherer –Scorekeeper –Spokesperson

Announcements Test tomorrow/Friday When you start the test, turn in: –Notebook for notebook check (fold over any pages with stamps) –Vocab from yesterday –Quiz corrections

PYTHAGOREAN THEOREM © 2006 by Mr. Mayers TRIGONOMETRY DISTANCE UNIT CIRCLE TRIG IDENITITIES PROVE IT! Team 1Team 2Team 3Team

What is the Pythagorean Theorem and when does it work? Back a 2 + b 2 = c 2, Finding missing sides of right triangles

Which trig ratio is represented by opposite leg/adjacent leg? Back tangent

What is the distance between (1, 2) and (4, 6)? Back 5

Why is the unit circle called the unit circle? Back Because the radius is 1 unit

Back Take the cosine of the reference angle How do you find the x- coordinate of a point around the unit circle?

Back What could the following picture be used for? Proving the Pythagorean Theorem

A right triangle has a leg of length 7cm and a hypotenuse of length 25cm. What is the length of the missing leg? Back 24cm

Which method could be used to solve the following problem? Back Cosine/ triangle

What is the distance formula? Back

Identify the center and the radius of the unit circle. Center: (0, 0), Radius: 1

Back x= 7.44cm Solve for x.

Back Solve for a. What property did you use? a=127, line has 180 o

Do the following side lengths form a right triangle? Why/why not? 4, 8, 9 Back No, a 2 + b 2 ≠ c 2.

Solve for a. Back a=5

What is the distance between (-2,3) and (6,1)? Back 8.2

Back What are the coordinates of a point on the unit circle 59 o from the initial position? (.5150,.8572)

Back What does tangent represent in the unit circle? Slope. Sin/cos.

Back If I have two straws, lengths 6inches and 5inches, what possible other lengths of straws could make a triangle?

Back 7.94 Find the missing side length

List the trig ratios and their meanings. Include the acronym. Back Sine=opposite/hypotenuse, cosine=adjacent/hypotenuse, tangent=opposite/adjacent

Back 52.4 What is the perimeter of ABC with vertices A(3,5), B(9,13), and C(25,1)

Back What is the maximum angle measure around the unit circle? There is no maximum. It’s unlimited

Back Find the area of the shape.

Back Prove the Pythagorean Theorem

Find the area. Back A=49.7 (missing side is 3.7)

Solve for the missing angle. Back o

How is the distance formula related to the Pythagorean Theorem? Back x 2 -x 1 represents a leg…

Back (-1,0) What are the coordinates of the point 180 o from the initial position?

Back What is the Pythagorean identity? How is it related to the Pythagorean Theorem? Sin 2 + cos 2 =1

Back ½ (a+b) (a+b) = ½ ab + ½ ab + ½ c 2 Find the area of the figure in two different ways. Hint: It can be a trapezoid or it can be three triangles.