MATH 105: Introduction to Contemporary Math
Functions, Statistics, and Trigonometry
Course Description:
Grades: 11,12 Credit: 1 High School Credit & 4 credit through CCC
Focused Elective: AC,BM,HS,HR,IE,NR CRLE Required
FST is an advanced math class designed to improve the skill of students following Algebra 2. Concepts covered in the first
semester include a unit reviewing basic skills in algebra and geometry, function notation, functions and graphs, linear functions
and systems of equations. Concepts covered in the second semester include continuing studying functions related to
exponential and quadratic, trigonometry, probability statistics, and graph theory. This course will provide additional support for
students who struggled with Algebra 2 concepts and better prepare them for Pre-Calculus. Students can earn 4 credits, through
Clackamas Community College. Math 105 is a transfer mathematics course for non-science majors. Includes the study of sets,
problem solving, counting techniques, probability, introduction to statistics and fractals. Students can earn Math 105 credit
through Clackamas Community College by meeting CCC guidelines. (Fee required for college credit.)
Teacher Contact Information:
Rochester
Room 405
Office: 400 Pod
Email: rochesterc@nclack.k12.or.us or gefrefamily@yahoo.com Phone: 503-353-5810 ext. 38168
Office Hours: Room 405 or 400 Pod Monday and Thursday 8:00 - 8:30 AM or by appointment
Units Covered:
Semester #1
Semester #2
Functions (2 weeks)
Patterns, Properties
Transformation
Compositions
The Basic Concepts of Algebra (3 weeks)
Basic Review, Linear, Quadratics
Strategies for Problem Solving
Exponential, Proportion & Variation
Problem Solving (2.5 weeks)
Inductive and deductive Reasoning
Graphs & Systems (4 weeks)
Applications of Linear, Quadratics &
Exponential
Basic Concepts of Set Theory (2.5 weeks)
Symbols, Venn Diagrams, Subsets
Set Operations, Cardinal Numbers & Surveys
Counting Methods (2 weeks)
Systematic Lists, Fundamental Counting Principle,
Permutations, Combinations
Probability (2.5 weeks)
Basic, “Not”, “Or”, “And” Expected Value
Simulation
Statistics (2.5weeks)
Distributions, Graphs, Central Tendency, Dispersion
Position, Normal Distribution, Misleading
Financial Math (4 weeks)
Credit, Truth in Lending
Buying Houses & Cars
Stock Market
Interest, Inflation
Trigonometry (3 weeks)
Similar Triangle, Pythagorean Theorem
Right Triangle Trig., Law of Sine and Cosine
Logic (1 week)
Truth Tables and Equivalent Statements
Logic Puzzles, Analyzing Arguments
Graph Theory (3 weeks)
Basic Concepts, Euler and Hamilton Circuits
Calculator:
A graphing calculator is required for this class. A TI-83 or TI-84 Plus is the best option. All class
demonstrations will be on a TI-84+. Other calculators are acceptable, as long as they have the ability to
compute exponents (a ^ key), permutations/combinations (nPr and nCr), and factorials (a! key).
Text:
Mathematical Ideas by Miller, Heeren & Hornsby.
Student Learning Outcomes:
The student will be able to:
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Utilize problem-solving techniques to engage problems without being provided with a template
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Work in small-groups to solve problems
Read rigorous mathematical information
Communicate mathematical information in lay-language
Conduct independent research to learn about a mathematical topic
Use and interpret function notation
Evaluate functions presented with function notation
Construct functions with one independent variable to model applications
Calculate and interpret the average rate of change of a function over an interval
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Evaluate a composite function
Construct composite functions to model applications
Understand, calculate, apply, and interpret simple and compound interest
Analyze various finance options and strategies to ascertain financial advantages/disadvantages
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Understand how consumers finance large purchases such as a home or vehicle
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Develop an understanding of and be able to work with sets
Develop an understanding of and be able to use counting techniques – fundamental counting
principle, permutations, and combination methods
Develop the ability to make predictions that are based on experimental or theoretical probabilities
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Define the parts of a graph including vertices, paths, edges, and circuits
Determine if a graph admits an Euler circuit
Find an Euler circuit for a graph that admits one
Eulerize a graph that does not admit an Euler circuit
Solve applications that can be modeled by the Euler-circuit problem
Determine if selected graphs admit a Hamiltonian circuit
Find a minimum-cost Hamiltonian circuit for selected graphs
Use the nearest-neighbor algorithm to try and find a minimum-cost Hamiltonian circuit
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Use the sorted-neighbor algorithm to try and find a minimum-cost Hamiltonian circuit
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Solve applications that can be modeled by the minimum-cost Hamiltonian circuit problem
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Understand what a fractal is and be able to make fractals
Attendance is directly related to success.
It is your responsibility to make arrangements with me to make up work. Failure to make arrangements will result in
a zero for all assignments and activities. I may excuse you from some activities but it is your responsibility to learn
the materials. All schedules, notes, and worksheets are on my website under the FST Calendar tab.
Attendance:
When you register for a course you are making an agreement with me that you will attend all of the
classes. Attendance is very important for a class such as this. You are responsible for material covered
in the text, in class, and on any handouts. If you miss a class, it is your responsibility to find out what
material was covered and what homework was assigned. Make sure to check the website and folder for
the class notes and handouts or assignments. You should ask another student for their notes.
Class Environment & Student Behavior
In order to facilitate a learning atmosphere in the classroom you are expected to be respectful to
classmates. Please refrain from speaking when others are talking. You are expected to participate in
class discussions and presentations. Come prepared to class on time; bring your book and all material.
Cell Phone Use
Please turn OFF your cell phone when you come to class. Vibrating cell phones in your bag still make
noise and are distracting to students around you trying to learn. CHS has a no electronics policy; if you
are caught using electronics they will be taken away and given to student management. You may at no
time use your cell phone as a calculator
How to be successful in Math!
1. Make sure you are appropriately placed.
2. Take all notes done in class. Put “??” by things you don’t understand. As soon as possible
after class, go back and tidy up your notes ~ fill in unfinished phrases, examples, etc. Highlight
important items.
3. Learn and practice good time management ~ Math requires daily practice and study.
4. Learn the vocabulary. Make flash cards for vocabulary, examples and formulas.
5. Don’t fall behind. If you get stuck…GET HELP. Clear communication is the key to success.
6. Be an active participant. Do your homework when it is assigned.
Expectations for All Work
TO EARN CREDIT ON ASSIGNMENTS YOU MUST
Label all assignments with your Name, Class (Day: Period), Desk #, and the Page number or name of the
worksheet and the list problems in the top right hand corner of the page.
All work should be done in pencil. You will need to be able to erase your mistakes.
To receive full credit you must show all of your work and answer questions.
Be neat and orderly. Answer problems in order with all parts to the problem in order. Problem solving should be
done vertically, with each step shown below the previous one. Leave space between problems for easier reading.
Anytime you use variables, define them and their units (when appropriate).
You should always answer word problems with a complete sentence. It is very important that your communication
is clear and demonstrates an understanding of the meaning of the problem.
How to Seek Help
1. Have your questions ready. When you see me for extra help work through your class notesdefinitions, examples, theorems, and proofs – thoroughly, and be prepared to say, “I understand
everything up to this point. How did we get from here to here?” Being able to explain to me what you don’t
understand will help me to help you.
2. Get into Study Groups. You are learning mathematics when you are discussing mathematics. When a
questions comes up someone in the group will be able to explain and solve the problem. There are many
ways to explain a concept and sometimes your peers do a better job than I will at helping you to
understand.
3. Struggle more than a little. Don’t give up after one attempt. Make a sincere effort to sort out your
problems. That way, when you say, “I am stuck RIGHT THERE!” you will be so up on the problem that
your teacher’s explanation will be clear. Have you ever had this experience? A teacher is explaining a
concept or technique in answer to your question. You are nodding your head, saying “Uh huh! Uh huh!
Yes, I understand.” Yet you’re thinking, “I don’t have a clue what the teacher is talking about.” DON’T
DO THIS!!! If you don’t get it let me know. I will adjust the daily schedule and re-teach concepts for
students who are stuck on a concept.
4. There are several websites that can assist you when needing help with a math topic.
http://www.khanacademy.org/ , http://www.purplemath.com/ and http://www.math.com/
You will receive a schedule for each Unit. Most materials for each unit can be found on my website by
accessing teacher websites on the Clackamas High School web page. There is also a crate in the
classroom that has materials in each.
Each Unit will be graded on the following criteria.
In-Class There will be an in-class activity nearly every class. To receive full credit you must
Assignment: come to class prepared, make an effort to participate, ask questions if you do not
understand, and stay for the entire class period. Remember to schedule
appointments and anything that would prevent you from attending a full class during
non-class hours or your free period. In-class assignments will consist of warm ups,
exit slips, reflections, homework checks, individual and group activities and general
assignments. The lowest in - class score will be dropped each quarter
Homework: You will have homework assignments most nights. There will be suggested
problems from the textbook. Book: Miller: Mathematical Ideas 11e and Expanded 11e
Practicing math makes it permanent in your brain. The expectation is that you practice the
math by doing a small number of problems each night from the textbook, worksheets, and/or
on-line. I use Quizstar which is located at: http://quizstar.4teachers.org/. Please check the
daily schedule to see dates when on-line homework is due. No late work will be accepted.
Please label all assignments: Name, Class (Day: Period), and Desk #. You will have
weekly homework checks.
Quizzes: There will be several quizzes over the course of the semester. Quizzes will cover material
from homework, class lectures, and in-class assignments. There will be no make-ups for
quizzes. The lowest quiz score will be dropped each quarter.
Unit Exam:
At the end of each unit there will be a summative assessment based on the targets for the
unit. The unit exams will be closed book and no notes. You will be given one class period to
complete the Unit Exam.
Unit Grade: 20% of your unit grade will be based on in-class assignments, activities and homework
80% of your unit grade will be based on the quizzes and unit exam.
Your semester grade will also include the following:
Final worth 10% or more of your grade.
Teachers enter the grades students earn into the grade book for each assignment, quiz, and exam. The grade
book calculates a score or percentage based on what a student earns out of the number of points possible. For all
final course grades, the grade book calculates them, not the teacher. Teachers will not add or subtract percentage
points from the final calculation. The calculation is the FINAL grade. I cannot fix your grade; it is ultimately your
responsibility to know what your grade is and work to increase your total percentage in the class. Please make
sure you check on – line regularly to see your grade. Grades are not rounded.
You will be graded on total points.
1st Semester Grade
Total Points earned for First & Second Quarter
10% Semester Project/Final
2nd Semester
Total Points earned for 3rd & 4th Quarter
10% Semester Project/Final
Grading Scale
90 – 100…..…….. A
80 – 89.9 ……… B
70 – 79.9. ……… C
60 – 69.9 ……… D
0 - 59.9………… F
Students who complete both
semesters of FST with a B or
higher will be able to earn Math
105 credit from Clackamas
Community College. A fee is
required to register for CCC
credit.
Academic Dishonesty Policy…AKA…CHEATING
Don’t think about it, don’t do it, don’t try it. Please refer to CHS’s Academic Integrity Policy. This
document explains what constitutes academic dishonesty. Dishonest activities such as cheating on
exams and submitting or copying work done by others will result in disciplinary actions and a zero on
the assignment. You will receive a referral and Student management will determine the
behavioral consequence.
Because this class is a dual credit class, earning high school and college credit, you are held to
student conduct policies for the high school and Clackamas Community College. Please refer to
the HS Student Handbook and the College Handbook.
http://www.clackamas.edu/documents/handbook.pdf
Following are Classroom Guidelines:
1. RESPECT: yourself, your peers, your instructor, and your surroundings/materials. When I am
presenting material it is your responsibility to listen, take notes and ask questions. DO NOT
TALK WHEN SOMEONE ELSE IS SPEAKING. Bring your manors to class.
2. Take responsibility for your actions and your learning. Always strive to do your best.
3. Be on time and prepared. (Notebook, Math Book, Pencil, Calculator)
4. Clean up after yourself and remain seated until the bell rings.
5. No food or drinks in the classroom. (With the exception of bottled water only.)
6. Absolutely no electronic devices, this means no cell phones, iPods, etc. Only exception is a
calculator. (Your cell phone DOES NOT count as a calculator.) If I see or hear it, it’s mine
per the School Electronics Policy.
7. Tardy Policy: If you are tardy please enter the classroom quietly and join the class.
Points missed because of tardiness will not be able to be made up.
Be prepared to work hard, learn a lot, and have fun at the same time. You are all young adults and I
expect you have manners and act responsible.
Please turn off all electronic devices before entering the classroom .
NO M USIC or CELL PHONES.
I follow the electronic policy set by the school.
If you attem pt to use electronics they will be safely placed in the student
m anagem ent office.