GATONS, RACHELLE


Precalculus & Calculus AP


Welcome to SHHS mathematics!  I am currently teaching Precalculus
and Calculus.  If a student in my class says, "I've got BIG problems--believe
him/her!!" However, we are in the business of solving problems--so, hang
in there, and let's go!

 


PRECALCULUS

Precalculus is a combination and a culmination of your high school math courses thus far.  You will recognize the need to recall concepts from Geometry and Algebra (I & II).  You will learn about Trigonometry (sin, cos, tan & their reciprocals), Analytic Geometry (circles, ellipses, hyperbolas and parabolas), series, logs, limits and more...!  This course will be at a faster pace than your original introductory courses to insure time for in depth study of various higher level math concepts.  (What I'm saying here is that the less you remember from previous courses, the more you will be required to study on your own in order to stay current with the curriculum demands.)  Some of your topics of study will include:  solving and graphing both linear and quadratic equations, dealing with logs and their graphs, solving systems of equalities and inequalities, absolute values, and interval notation. You will be working in the complex number system, rectangular system, and the polar system as well. You will be finding roots of higher degree polynomial equations, using logarithms, studying conic sections, and trig.  You will also solve the special right triangles, find the area of any triangle, use the law of sines and cosines for any triangle as needed.  We will work with matrices, determinants, and their applications.  We will study sequences and limits which will lead us into the beginnings of Calculus where we will find derivatives of equations to solve velocity and acceleration problems as applied to Physics.  Concepts are plentiful and at times problematic, so you will be busy.  Plan now to spend time studying and practicing on your own!  This is an advanced level course and it requires advanced level teaching, thinking and studying...We will usually work bell to bell and you will have work 'on your own' everyday.  We will be using a TI 83+ graphing/scientific notation calculator in class.  Calculators remain in the classroom for your use.  You may come before school 7:30+ or perhaps you can make arrangements for using something similar outside of class, or you can purchase one.  I look forward to the journey with you.

 


CALCULUS

Calculus is an advanced level math course.  We will be reviewing all math including Precalculus. Then we will begin the study of limits (their properties, techniques of evaluating limits, continuity, one-sided and two-sided limits, & infinite limits).  Next is Differentiation.  In the beginning, we will find derivatives using the definition of a tangent line.  After mastering this technique, we will learn basic rules of differentiation esp. as related to problems involving rates of change.  Derivatives of trigonometric functions will be included throughout the course. The product and quotient rules as well as the chain rule will be thoroughly discussed and applied.  Implicit differentiation and related rate problems are studied.  Further topics include discussing extrema on an interval, first and second derivative test, limits at infinity, curve sketching, and applications in business and economics.  We will discuss circles, parabolas, ellipses, and hyperbolas:  their equations and their properties.  Both convergent and divergent series as well as sequences will be discusses. We conclude with various problems using integration.  We will be very busy!

 


Panther Pride-It's Justified!

Welcome to a new semester!  You will be learning some new math concepts as well as reviewing previous material.  I look forward to your successes.  Let us begin...


As my student I expect you to:
1) Come to class prepared  2) Pay attention 3) Do your best 4) Be responsible 

 

1) Come to class prepared

You will need the following supplies:  a writing instrument (pencil or pen-any color which I can see easily), a red pen, a dry erase marker, covered textbook, a spiral in which to take notes (or a regular notebook is fine if you are organized), and $5.00 to cover batteries, Kleenex, paper towels, etc.  OR  you may bring 5 dollars worth of 'stuff' that has been listed.  Please bring your supplies to class daily or it will be an unexcused tardy to go get them.
****You need access to a graphing/scientific calculator for problems done outside of class.  We are using a TI 83+ in class.

2) Pay Attention

Please be calmly seated when the tardy bell rings.  Have your materials and homework ready to begin class, and cease talking when I begin-Thanks.
I suggest you "write this down."  It is beneficial to copy the examples discussed in class.  It is helpful for your homework as well as for review at a later time. 

3) Do Your Best

Work on the assignment after explanation, in your group, or at home.  Watching me work a problem is NOT the same as when you have to work it alone.  It's my job to explain, but it's your responsibility to practice what you've learned so that you can master it.  The work that I assign is to make you better at math, not to keep you busy.  Remember, on all assignments, I expect to see your work.  There are heavy grade penalties for no work.

If you need help during class:  1)Look at your notes  2) Look at the examples in the book  3)  Ask a classmate for help  4)  Ask Mrs. Gatons for help
If you need help after class:  1) Try #1 & 2 above  2) Call someone from class  3) Check with family or neighbors  4) Come to morning tutorials 5) Hire a tutor

Do not wait until class to get help and then try to 'wimp out' with "I don't understand."  (Many times this translates into "I didn't even try, and I don't want to be responsible for my own learning.  I am expecting this phrase to so panic my teacher that she will spoon feed me the information and answers during class."  Think again!)

4) Be Responsible

Remember to bring your materials, pay attention, and do your best.  Finally, work to stay current.  Make sure that your assignments are complete and on time.  If you have not completed your assignment before class begins and you decide to take a 'late grade,' be sure that you realize the grade will be penalized 30 points, and you still must show your work.  Also, if you fail to turn in that assignment by the next day, you have earned a grade of 0.

If you are ABSENT, get the assignment, notes, worksheet, etc. from another student or come in the next morning and check the 'log.' You have 2 days to make up work for each day of excused absence.  Be advised that if you are absent the day of a test and you knew that the test was scheduled, then you will be tested immediately upon returning to class.  (You may receive a different test.) 

GRADING:  The Math Department in the high school grades 75% major test average and 25% daily average.  Sometimes I will take the homework for a grade, and other times there will be a quiz over the homework. I offer you a +3 sheet as a review the day before a test.  It will help your grade to do it!

RETESTING:  If you do not score a 70 or above on a major test, you will be given the opportunity to retest.  It is important that you have some re-teaching before the retest if you hope to improve your score. Remember that tutoring is available in the morning. If you ask me the previous day, I'll be available to begin at 7:30.  (Regular tutorials begin at 7:45.)  Retests are scheduled on Thursday after the failed test @ 7:30 am.  If there is a conflict, you need to tell me before the scheduled retest, or you keep the original score. 

Deficiency reports are sent out every 3 weeks by Spring Hill ISD to those whose major average is 75 or below.  You will have a grade sheet which I wish to have signed every 3 weeks regardless of your average.  Sometimes I may feel that a phone call home is important or even a conference needs to be scheduled.  If your parents would like to contact me to discuss your progress, please call the school office at (903) 759-4404. I prefer to converse on the phone or in person rather than email. 

I believe that we can have a great semester together.  If you will give me your best effort, I believe that you can be successful and learn math. 

 



Click the following links to view lesson plans for the week.
To determine the week you wish to view, visit the
District Calendar page of our school's web site.


First Semester Lesson Plans


Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Week 7
Week 8
Week 9
Week 10
Week 11
Week 12
Week 13
Week 14
Week 15
Week 16
Week 17
Week 18

Click the following links to view lesson plans for the week.
To determine the week you wish to view, visit the
District Calendar page of our school's web site.


Second Semester Lesson Plans


Week 19
Week 20
Week 21
Week 22
Week 23
Week 24
Week 25
Week 26
Week 27
Week 28
Week 29
Week 30
Week 31
Week 32
Week 33
Week 34
Week 35
Week 36
Week 37

 


- Email: rgatons@springhill.esc7.net