Transcript 3/17 Bell Ringer

3/17 Bell Ringer
1. What’s the measurement
of the hypotenuse?
θ
2√3
4
2. What’s the measurement
of the opposite leg?
3. What’s the measurement
of the adjacent leg?
2
Homework: SOHCAHTOA Puzzle
Grab today’s guided notes
from the front of the room!
News and Notes
• Perfection Award: 8th Period
• Note on what was handed back to you.
3/17 Agenda
• I CAN identify and calculate the trig ratios
given all three sides of a right triangle
(SOH CAH TOA)
• 1. Intro to New Material – Vocabulary
• 2. Guided Practice: Races
• 3. Puzzle Time
• 4. ACT Question of the Day
Intro to New Material (Ex. #1)
• Find the three trig ratios for the 30° angle:
opp 1
sin( 30) 

hyp 2
adj
3
cos(30) 

hyp
2
opp
1
tan( 30) 

adj
3
30°
2
√3
1
Intro to New Material (Ex. #2)
• Find the three trig ratios for the 60° angle:
opp
3
sin( 60) 

hyp
2
adj 1
cos(60) 

hyp 2
2
√3
60°
opp
3
tan( 60) 

 3
adj
1
1
Trigonometric Ratio
Allows us to find
missing sides and
angles of right
triangles.
SOHCAHTOA
SOH-CAH-TOA
Sin = Opp/Hyp
Cos = Adj/Hyp
Tan = Opp/Adj
Sine (sin)
Sin θ = opposite .
.
Hypotenuse
Sine, cosine,
and tangent.
sin θ = 3/5
Cos θ = 4/5
5
3
θ tan θ = 3/4
4
5
sin θ = 3/5
3
θ
Cos θ = adjacent
Cosine (cos)
.
cos θ = 4/5
5
Hypotenuse
θ
4
tan θ = 3/4
Tan θ = opposite
Tangent (tan)
adjacent
3
4
θ
Guided Practice
• Race up your Row!!!
• The first person in each column will be in
charge of copying down the triangle on
paper.
• First person finds missing side (method of
choice), second finds sin (SOH), third finds
cos (CAH), fourth finds tan (TOA).
• Team distractions cost 1 point.
• Inappropriate comments cost 1 point.
Independent Practice
• Begin working on your SOHCAHTOA
puzzle on the back of today’s notes.
ACT Question of the Day
r
In the figure below, what is ?
t
A. sine of angle G only
B. cosine of angle G only
C. cosine of angle H only
D. sine of angle G and cosine
of angle H.
Homework:
SOHCAHTOA
Puzzle