Learning Goals for Trigonometry in Pre-Calculus Math 11.
Learning Goals
1.
2.
3.
4.
Students will work collaboratively on a number
of practice questions in class and on the
homework assigned from:
Section 2.1.
Students will understand angles in standard
position
Students will understand how the three
Section 2.2
primary trigonometric ratios are related to
angles in standard position.
Students will be able to solve problems
Section 2.1 and 2.2
using the three primary trig. ratios for
angles in standard position.
Students will be able to solve problems
Section 2.3 and 2.4
using the cosine and sine laws, including the
ambiguous case.
A scale for Trigonometry in Pre-Calculus Math 11.
4.0
3.5
3.0
l)
m)
n)
o)
2.5
2.0
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
k)
1.5
1.0
0.5
0.0
In addition to score 3.0 performance, the student makes in-depth inferences and
is successful in applications that go beyond what was taught.
In addition to score 3.0 performance, the student has partial success at inferences
and applications that go beyond what was taught.
The student demonstrates an understanding of trigonometry by:
-Solving for all values of Θ in an equation involving sine, cosine, or tangent.
-Solving problems with the primary trigonometric ratios.
-Using the sine law to solve problems, including the use of the ambiguous case.
-Using the cosine law to solve problems.
No major errors or omissions regarding the simpler details and partial knowledge
of the more complex ideas and processes.
The student exhibits no major errors or omissions regarding the simpler details
and processes:
-Sketching angles in standard position
-Determining the reference angle of angles in standard position
-Determining the quadrant in which an angle in standard position terminates
-Determining the distance from the origin to a point (x, y) on the terminal arm of
an angle.
-Determining the exact values of sine, cosine, and tangent for angles with
reference angles of 30, 45, and 60 degrees.
-Determining the exact values of sine, cosine, and tangent for Θ =0, 90, 180, 270,
360 degrees.
-Determining the value of sin Θ, cos Θ, and tan Θ given any point (x,y) on the
terminal arm of angle Θ.
-Sketching a diagram to represent a problem involving the sine law.
-Recognizing when to use the sine law.
-Sketching a diagram to represent a problem involving the cosine law.
-Recognizing when to use the cosine law.
Partial understanding of the simpler details and processes was demonstrated but
major errors or omissions regarding the more complex ideas and processes were
evident.
With help, a partial understanding of the simpler details and processes and some
of the more complex ideas and processes was demonstrated.
With help, a partial understanding of some of the simpler details and processes
was demonstrated, but not the more complex ideas and processes.
Even with help, no understanding or skill demonstrated.