I was born in
Temecula,
California
I have
played
soccer
for 6
years.
Pre-course Reflection
I am part
Scottish
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Pre-Course Reflections
Pre-course reflections page
Write a short paragraph (50~75 words) describing your feelings about math
classes in general prior to this course (likes/dislikes) and what your
expectations are for this course.
You may include images but they are not required.
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Functions Unit
(Unit 1): Trigonometric Functions
1. Angles and Degree Measure; Angles and Rotation – Objective: To use definitions of angles and
their parts, to identify the direction of an angle’s rotation, and to find an angle’s portion of full
circular rotation.
2. Radian Measure – Objective: To understand the origin of and definition of radian measure, and to
be able to convert freely between radian and degree measures.
3. Arc Length / Sector Area Applications – Objective: To calculate the length of a circular arc and a
circular sector area for problems where measurements are given in either degree or radian
measure.
4. Trigonometric Ratios; Definition of Trigonometric Functions – Objective: To identify the sine,
cosine, and tangent of an angle in a right triangle (SOHCAHTOA).
5. Function Values of Special Angles – Objective: To recall the exact trigonometric function values for
the quadrantal angles and the 45°, 30°, and 60° angles (and their radian equivalents).
6. Function Values of Acute Angles – Objective: To find the values of trigonometric functions from
tables and/or calculators.
7. Finding Acute Angles from Function Values – Objective: To find the acute reference angle from the
given trigonometric values from a table and/or calculator (eg. arcsin, sin-1)
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Functions Unit
Sample Work
Pick an objective from the unit and place sample work on this slide addressing that objective.
Sample work may include the following:
Copies of homework
Copies of quizzes or exams
Copies of a project
You may attach images of these pages or thumbnails of an image stored elsewhere electronically. If
using a thumbnail, be sure to provide a link so others can view the full sized image.
For each piece of sample work, write a short narrative describing the purpose of the work, what you
did well and what you found challenging.
This may take more than one slide, so feel free to insert duplicate slides following this one as needed
to showcase your work.
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Functions Unit
Sample Work:
continued
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Functions Unit
Real-World Application
Choose a topic from this unit and briefly describe how this
topic is applied outside of this course. The application can
be for a different course or a use “on the job.” You may
include images, and/or links to websites to help illustrate
your description.
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Applications Unit
(Unit 2): Applications of (plane) trigonometry
1. Arc Length and Sector Area – Objective: To find arc lengths and sector areas of circles for real-world
problems in such fields and astronomy and surveying.
2. Solutions of Right Triangles – Objective: To practice using the trigonometric functions to find all side
lengths and angle measures given any three of the six measures.
3. Geometric Applications – Objective: To solve for the physical measurements of real-world problems
using the trigonometric functions.
4. Surveying Applications – Objective: To solve for the physical measurements of surveying problems
and to learn the definitions of “angle of elevation” and “angle of depression”.
5. Navigation Applications – Objective: To learn the terminology of navigation and solve problems
related to this field.
6. Vectors - Objective: To find the components of vectors and apply this concept with vector addition
to solve problems.
7. Law of Sines -Objective: To learn the law of sines, and its restrictions, and apply the law to realworld situations.
8. Law of Cosines - Objective: To learn the law of cosines and apply it to solving real-world problems.
9. Outside Activity - Objective: To provide hands-on instruction in measuring angles and in solving
a surveying problem using field observations.
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Applications Unit
Applications Unit - Sample Work:
Pick an objective from the unit and place sample work on this slide addressing that
objective. Sample work may include the following:
Copies of homework
Copies of quizzes or exams
You may attach images of these pages or thumbnails of an image stored elsewhere
electronically. If using a thumbnail, be sure to provide a link so someone can view the
full sized image.
For each piece of sample work, write a short narrative describing the purpose of the
work, what you did well and what areas could have been improved upon.
This may take more than one slide, so feel free to insert duplicate slides following this
one as needed to showcase your work.
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Applications Unit
Sample Work:
continued
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Applications Unit
Real-World Application
Choose a topic from this unit and briefly describe how this
topic is applied outside of this course. The application can
be for a different course or a use “on the job.” You may
include images, and/or links to websites to help illustrate
your description.
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Circle Trig Unit
(Unit 3) Circular Trigonometry
1. Unit Circle; Definitions - Objective: To define the unit circle and the
angles on it.
2. Reference Angle - Objective: To convert angles measured on the unit
circle into acute angles with congruent trigonometric values.
3. Graphs of sin(x) and cos(x) - Objective: To graph the functions of
sine and cosine and understand the cyclic nature of their graphs.
4. Graphs of Asin(Bx) and Acos(Bx) - Objective: To extend the lesson
above to include a function’s amplitude and period (width) of a
cycle.
5. Phase Shift and Biorhythms - Objective: To extend the lesson above
to include a function’s lateral and vertical shift, and to practice
graphing a sine wave via a plotting of one’s biorhythms.
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Circle Trig Unit
In this assignment we were to create a
worksheet for a student to use to practice
graphing sine waves. We had to include
the worksheet, an answer form and show
common mistakes students make when
graphing (then fix these mistakes). I did
well on this paper and met all
requirements. The worksheet could’ve
been darker. (click on the page to open it)
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Circle Trig Unit
For this homework assignment we had
practiced graphing a sine wave by
calculating our biorhythms. This page is the
part where we had to graph the wave for
some day that was memorable to see if the
biorhythm matched. The event was an
emotional one, and the emotional wave
almost crossed the critical line on that day,
so it was close.
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Circle Trig Unit
On this quiz I did pretty well on the front
side. My mistake on the back was that I
graphed the second wave as a cosine wave
and the period was wrong. I knew how to
calculate the period but didn’t graph it
right. (click on the quiz to see the whole
thing)
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Circle Trig Unit
This is the Unit Test. I
did well on this exam
and even got the
coveted, “N.C.” on my
graphs  The mistakes
I made were not listing
ALL of the x-intercepts
from 0 to 2 pi. I only
listed those from the
first wave. (click on
the test to see the
whole thing)
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Circle Trig Unit
Real-World Application
Choose a topic from this unit and briefly describe how this
topic is applied outside of this course. The application can
be for a different course or a use “on the job.” You may
include images, and/or links to websites to help illustrate
your description.
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Identities Unit
(Unit 4) Trigonometric Identities
1. Basic Identities - Objective: To practice memorizing the reciprocal, quotient and
Pythagorean identities while manipulating trigonometric equations with algebra.
2. Negative Angle Identities - Objective: To convert trigonometric expressions involving
negative angles into expressions involving positive angles and to use this knowledge
to simplify trigonometric expressions.
3. Cosine of a Sum or Difference - Objective: To recognize and utilize this identity in
order to simplify and manipulate complicated trig. expressions.
4. Complementary Identities - Objective: To understand the relationship between sine,
secant, tangent and their respective cof-unctions, and to use this understanding to
simplify complicated trig. expressions.
5. Sine of a Sum or Difference -Objective: To recognize and utilize this identity in order
to simplify and manipulate complicated trig. expressions.
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Identities Unit
Identities Unit - Sample Work:
Pick an objective from the unit and place sample work on this slide addressing that
objective. Sample work may include the following:
Copies of homework
Copies of quizzes or exams
You may attach images of these pages or thumbnails of an image stored elsewhere
electronically. If using a thumbnail, be sure to provide a link so someone can view the
full sized image.
For each piece of sample work, write a short narrative describing the purpose of the
work, what you did well and what areas could have been improved upon.
This may take more than one slide, so feel free to insert duplicate slides following this
one as needed to showcase your work.
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Identities Unit
Sample Work:
continued
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Identities Unit
Real-World Application
Choose a topic from this unit and briefly describe how this
topic is applied outside of this course. The application can
be for a different course or a use “on the job.” You may
include images, and/or links to websites to help illustrate
your description.
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Trig Equations Unit
(Unit 5) Solving Trigonometric Equations
1. Trigonometric Equations ~ Elementary Form Objective: To solve trig. equations by considering all
values which will make true a given equation (emphasis
on the cyclic nature of the solution set).
2. Trigonometric Equations ~ Factoring Method Objective: To use factoring as a method to simplify
complicated trigonometric equations before solving.
3. Trigonometric Equations ~ Identity Method Objective: To use trigonometric identities as a method
to simplify complicated equations before solving.
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Trig Equations Unit
Trig Equations Unit - Sample Work:
Pick an objective from the unit and place sample work on this slide addressing that
objective. Sample work may include the following:
Copies of homework
Copies of quizzes or exams
You may attach images of these pages or thumbnails of an image stored elsewhere
electronically. If using a thumbnail, be sure to provide a link so someone can view the
full sized image.
For each piece of sample work, write a short narrative describing the purpose of the
work, what you did well and what areas could have been improved upon.
This may take more than one slide, so feel free to insert duplicate slides following this
one as needed to showcase your work.
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Trig Equations Unit
Sample Work:
continued
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Trig Equations Unit
Real-World Application
Choose a topic from this unit and briefly describe how this
topic is applied outside of this course. The application can
be for a different course or a use “on the job.” You may
include images, and/or links to websites to help illustrate
your description.
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Complex Numbers Unit
(Unit 6) Complex Numbers / Polar Coordinates
1. Definitions and Graphing of Complex Numbers - Objective: To recall the definitions of
complex numbers and to express these numbers graphically on a coordinate plane.
2. Polar Coordinates - Objective: To freely convert between the rectangular and polar
coordinates of points on a coordinate plane.
3. Trigonometric Form of Complex Numbers - Objective: To recognize the similarities
between the trig. form of complex numbers and polar coordinates of points on a plane
and use this recognition to convert complex numbers to trigonometric form and viceversa.
4. Products and Quotients of Numbers Expressed in Trig. Form - Objective: To multiply
and divide numbers expressed in trigonometric form.
5. Powers and Roots of Complex Numbers ~ DeMoivre’s Theorem - Objective: To simplify
numbers with large exponents, and to find all roots of complex numbers by use of
DeMoivre’s Theorem.
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Complex Numbers Unit
Complex Numbers Unit - Sample Work:
Pick an objective from the unit and place sample work on this slide addressing that
objective. Sample work may include the following:
Copies of homework
Copies of quizzes or exams
You may attach images of these pages or thumbnails of an image stored elsewhere
electronically. If using a thumbnail, be sure to provide a link so someone can view the
full sized image.
For each piece of sample work, write a short narrative describing the purpose of the
work, what you did well and what areas could have been improved upon.
This may take more than one slide, so feel free to insert duplicate slides following this
one as needed to showcase your work.
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Complex Numbers Unit
Sample Work:
continued
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Complex Numbers Unit
Real-World Application
Choose a topic from this unit and briefly describe how this
topic is applied outside of this course. The application can
be for a different course or a use “on the job.” You may
include images, and/or links to websites to help illustrate
your description.
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Post-Course Reflections
Post-course Reflections
Short summary of what you liked about this course, things you remember
about the course and what you liked best about the course. You may need
to use more than one slide. Images may be included but are not necessary.
Word count is 250 words or more.
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Post-Course Reflections
Post-course Reflections
continued
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit
Post-Course Reflections
Post-course Reflections
continued
Pre-course Reflection
Post-course Reflection
Functions Unit
Applications Unit
Circle Trig Unit
Identities Unit
Trig. Equations Unit
Complex Numbers Unit