Angles & the Unit Circle Day 1 Today’s Objective: I can work with angles in standard position.

Review: Special Right Triangles 30 o 60 o 45 o

Angle on coordinate plane in standard position: 1.Vertex on origin 2.One ray of angle is on positive x-axis Terminal side Initial side + – The blue arrow is fixed to the x-axis. Turn the red arrow counterclockwise about the origin. If the red arrow contains one of the points when it stops, which point would create the angle with the greatest measure? Explain your reasoning (0, 1), (2, 2), (-3, 3), (-1, 0), or (5, 5)

What are the measures of each angle? Sketch each angle in standard position?

Coterminal angles angles that have the same terminal side W.S. Co-terminal Angles

Angles & the Unit Circle Day 2 Today’s Objective: I can find the coordinates of points on the unit circle.

x y (1, 0) (0, 1) (-1, 0) (0, -1) 1 SOH CAH TOA Unit Circle: Radius = 1 Always draw a right triangle with one leg on x-axis

Special Right Triangles 30 o 60 o 45 o

x y (1, 0) (0, 1) (-1, 0) (0, -1) Angle: 30 o 1 30 o x y (1, 0) (0, 1) (-1, 0) (0, -1) Draw a right triangle with one leg on x-axis Angle: 60 o 1 60 o

x y (1, 0) (0, 1) (-1, 0) (0, -1) Angle: 120 o o x y (1, 0) (0, 1) (-1, 0) (0, -1) Draw a right triangle with one leg on x-axis Angle: 45 o 1 45 o

x y (1, 0) (0, 1) (-1, 0) (0, -1) Points on the axis Complete Unit Circle

Angles & the Unit Circle Day 3 Today’s Objective: Practice Day

Find the exact value of trigonometric function. x y (1, 0) (0, 1) (-1, 0) (0, -1) Complete Unit Circle WS Angles & the Unit Circle