Storyboard for my Trig Ratios Lesson

1. So much for so little, power of the
triangle…
*

2. *
*How do I know I have a triangle?

3. *
*Is the triangle a right triangle? How do you
know?

4. *
*Which side is the hypotenuse and which ones
are the legs?
hypotenuse
leg1
leg2

5. *
*Which is the longest side? Can a leg be longer
than the hypotenuse? Equal to hypotenuse?
Explain. Can the lags be equal to each other?
hypotenuse
leg1
leg2

6. *
*Which is the largest angle? Can all the angles
be the same size? Can any one of them be
obtuse? Explain.

7. *
*How does the length of side relate to the size
of the angle opposite it?
A
B
C

8. *
*Given two sides find the missing side dimension
by Pythagoras Theorem
A
B
C
5
4
b = ??

9. *
*With reference to an angle, which side is
opposite and which one is adjacent to the
reference angle?
C
Adjacent
Opposite
Hypotenuse

10. *
*Define three trigonometric ratios using fixed
“hypotenuse” and relative “opposite” and
“adjacent”: sine, cosine and tangent of each
acute angle.
Adjacent
Opposite
C
B
A

11. *
*Evaluate trigonometric ratios given an acute
angle and at least one side.
C
B
A
55º
12
cos C =
sine C=
sin B =
cos B =
tan B =
tan C =

12. *
*Compare trig ratios of similar right triangles
and make and verify a conjecture
A
B
C
15
9
12
Q
P
R
5
3
4

13. *
*Find missing angle measures and side lengths
from limited information given by using
Pythagorean Theorem and/or trigonometric
ratios
C
B
A
55º
12
c
am B = ??
a = ??
c = ??

14. *
*Solve real world problems using trigonometry
At 57" from the base of
a building you need to
look up at 55° to see
the top of a building.
What is the height of
the building?