COURSE SYLLABUS
Precalculus-A Semester 1
Math 1316 Plane Trigonometry
Days/Period:
Instructor:
E-Mail Address:
Phone Number:
Fax:
Other Number:
CRN Number:
College Credit:
Tuesday, Thursday, Periods 7 and 8
Warren Morales
WMorales@houstonisd.org
713-664-9712
713-664-9780
713-560-7951
25455
3 hours
Overview:
Precalculus is offered as a Dual Credit course with HISD and Houston Community College. To receive Dual
Credit, the student must have either placed into MATH 1316 on the COMPASS test, or the student must have
successfully completed MATH 1314 (College Algebra) with a grade of C or better. Upon successful completion
of the first semester of Precalculus, the student will receive credit for MATH 1316 (Plane Trigonometry). Upon
successful completion of the second semester of Precalculus, the student will receive credit for MATH 2412
(Precalculus).
MATH 1316, Precalculus-A, is intended for students who’s curricular requires trigonometry as a prerequisite
for higher mathematics courses. It may also be taken as a first course in trigonometry or as a review course.
Students whose curricular are generally non-technical in nature may take this course as a mathematics elective
if the necessary algebraic and geometric prerequisites have been met. The transferability of this course as either
mathematics credit or elective credit is at the discretion of the school to which the student intends to transfer.
Objectives:
Upon successful completion of the first semester of Precalculus-A (MATH 1316), a student should be able to
perform the following mathematical skills:
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Recognize the six basic trigonometric functions and understand the relationships between them.
Evaluate the trigonometric functions of special angles.
Find reference or related angles and coterminal angles.
Use a calculator to find trigonometric function values of any angle.
Solve triangles.
Convert degrees to radians and vice-versa.
Solve problems dealing with the application of radian measures.
Recognize the graphs of the six basic trigonometric functions.
Know the amplitude, period, and phase shift for sine and cosine functions.
Sketch functions exhibiting the above properties.
Recognize the various identities including sum and difference angle formula, double angle formulas, and
sum and product formulas.
Prove trigonometric identities using the formulas given above.
Solve trigonometric equations and inverse trigonometric equations.
Solve triangles using the Law of Sines and the Law of Cosines.
Find areas of triangles.
Make-Up Policy:
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It is the student’s responsibility to find out about any missed assignments due to an absence.
Please make arrangements with instructor to make up tests and/or quizzes before school, after school, or
during lunch.
Grading Policy for the High School:
Nine Week Grade:
90 – 100 =
80 – 89 =
75 – 79 =
70 – 74 =
Below 70 =
Homework =
Quizzes =
Tests =
Total (A+) =
A
B
C
D
F
Materials:
 Three Ring Notebook
 Scientific Calculator
 Ruler/straight edge
 Pencils
Test
Test #1
Test #2
Test #3
Test #4
Test #5
Final Exam: HCC
Date
Thursday, September 20
Thursday, October 11
Tuesday, October 30
Tuesday, November 20
Thursday, December 13
Thursday, December 13
10%
20%
70%
100%
DAY #
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
General Grading Rubric:
DATE
August 28
August 30
September 4
September 6
September 11
September 13
September 18
September 20
September 25
September 27
October 2
October 4
October 9
October 11
October 16
October 18
October 23
October 25
October 30
November 1
November 6
November 8
November 13
November 15
November 20
November 27
November 29
December 4
December 6
December 11
December 13
December 18
December 20
LESSON
Angles, Radian Measure
The Chart/Special Right Triangle Angles
Reference Angles
Trig Function of Any Angle
More with Radian Measure
The Unit Circle
Pythagorean Identities
Introduction to Graphing
Test 1
Graphing Sine and Cosine
Graphing Tangent and Cotangent
Graphing Secant and Cosecant
Applications of Graphing
Test 2
Inverse Trig Functions
Graphing Inverse Trig Functions
Applications of Trig Functions
More Application Problems
Test 3
Verifying Trigonometric Identities
Sum and Difference Formulas
Double-Angle Formulas
Half-Angle Formulas
Introduction to Trigonometric Equations
Test 4
Trigonometric Equations 1
Law of Sines
Law of Cosines
Review
Review
FINAL EXAM: Dual-Credit/Test 5
Review
Final Exam: HISD
In free-response questions on a test, problems will be worth 3, 4 or 5 points. The rubric for grading is given
below.
Meaning
Superior
Out of
3
3
Satisfactory
Out of
4
4
Out of
5
5
3
4
Satisfactory,
With
Minor Flaws
2
2
3
Satisfactory,
With
Major Flaws
1
1
2
Unsatisfactory
0
0
0–1
Student shows understanding of the concept by:
 Having fewer than 2 minor errors
 Providing a clear, logical and complete
process
 Providing evidence of checking and/or
alternate representation
 Using creative, appropriate strategies
 Exceeding the minimum requirements of
the task
Student shows understanding of the concept by:
 Having 2 to 3 minor errors, but correct
process
 Providing a logical and complete process
but lacking clarity
 Using appropriate strategies
 Satisfying the requirements of the task
Student shows understanding of the concept by:
 Using appropriate strategies
 Showing work, but process haphazard
 Writing an explanation that is mainly clear,
but may show some gaps
 Satisfying some elements of the task
Student shows rudimentary understanding of
the concept by:
 Providing haphazard, illogical, or unclear
work
 Not checking work
 Writing an explanation that did not connect
to the problem or the solution
 Answering only (without supporting work)
 Satisfying few elements of the task
Student shows little or no understanding of the
concept by:
 Attempting the problem, but no idea
 Not using a recognizable process
 Calculating incorrectly
 Using inappropriate charts and graphs
 Satisfying no elements of the task