Course Syllabus

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ADVANCED FUNCTIONS AND MODELING is focused on applying functions through modeling. Students learn to solve problems using analytical skills, probability ideas, and functions. The functions should originate from real world situations so students are able to connect the functions to more concrete ideas. Technology is imperative for this course during instruction for a true understanding of the material.

Students are most successful when students, parents and teachers work together. Please make sure that your student has the proper materials, rest, and is present and on time each day.

I will do my part in teaching your student and I expect your student to do their part in learning. I welcome communication with you as frequently as needed. Should you have questions, concerns, or comments please contact me at school (704.296.3088) or by email (Gerald.Sheppard@ucps.k12.nc.us). I will return your message as soon as possible.

 

You are welcome to attend class anytime you desire. Please check-in at the main office upon your arrival on campus.

 

TUTORING TIMES:

* Each morning from 8:15 - 8:40am (I am usually here by 8:00 am for those students that want to come earlier).

* Each afternoon from 3:30 - 4:00 pm except on the second Wednesday each month and no Friday after school tutoring.

 

Grading Policy

Grading will be based on a point system where each assignment will be evaluated based on its relevance to the overall scope of the curriculum.

Each student is required to maintain a three ring binder. All work is to be kept in chronological order, labeled, and started on a clean sheet of paper.

NO WORK WILL BE ACCEPTED ON PAPER REMOVED FROM A SPIRAL NOTEBOOK.

YOU MUST SHOW ALL WORK ON HOMEWORK, QUIZZES AND TESTS TO RECEIVE CREDIT. THE ONLY EXCEPTIONS ARE MULTIPLE CHOICE TESTS AND QUIZZES.

*****ALL ASSIGNMENTS WITH DUE DATES AND POINT VALUE WITH BE POSTED ON MY CANVAS PAGE ON A DAILY BASIS.

*****GRADES WILL BE UPDATED IN POWER SCHOOL ON A WEEKLY AND IN MOST CASES A DAILY BASIS.

*****A PROGRESS REPORT WILL BE SENT HOME WITH EACH STUDENT EVERY FRIDAY.

Assignments not completed and turn in by the "assignment due date" will not be accepted. Student's will not be allowed to makeup missed assignments except due to absences.

All makeup work from absences will be in accordance with the CATA Student Handbook.

Assignments that cannot be made up will show a "0" in the gradebook.

Assignments not completed and turned but can be completed for a grade will show a score of "1" in the gradebook.

*****STUDENTS ARE TO PROVIDE ME WITH A CURRENT EMAIL AND TELEPHONE NUMBER FOR THEIR PARENT THE FIRST WEEK OF CLASS. I WILL USE THIS INFORMATION TO CONTACT YOU SHOULD THE NEED ARISE. 

 

Learning Platform at Central Academy 
o   Canvas: The majority of assignments will be submitted on our learning platform, Canvas.  Assignments can be submitted a variety of ways including, uploading files, typing into text boxes, and sharing Google documents/presentations.  Students not having used Canvas before should alert the teacher and they will be shown how to submit assignments on Canvas.  Individual assignments will indicate which method of submission on Canvas is expected.  If students need a refresher or have questions, they can access the Canvas Student Guide for specific instructions.  It is the student's responsibility to ensure assignments are submitted on time and to contact the instructor if there is a problem.  The Canvas Learning Platform logs every student log-in on Canvas which provides teachers with a list of when students log-in to Canvas using their user id. 
o   Canvas is used to grade assignments as well, however, the grades in Canvas, while accurate to that assignment, are NOT the teacher’s gradebook.  The teacher’s gradebook includes categories of assignments that may be weighted differently and may include grades for assignments that did not use the Canvas Learning Platform.  Therefore, students and parents should always check their child’s true average on the Parent Portal on Powerschool

 

Supplies

* TI-83 Plus graphing calculator

* Non-graphing calculator

* Graph Paper
* Note taking paper
* Pencils
* Chromebook

 

Important things to Know


Restroom breaks
     Only after first 10 minutes of class
     Not during note taking session
     Not during the last 10 minutes of class
     If you are gone for more than 10 minutes then I am required to call the front office for security 
Stay in your seat until the bell rings….do not group at the doors
Select your seat next to one person that you would be comfortable working with in a small group
No eating in the classroom
Drinks are allowed but only in a bottle with a cap or lid

 

Prerequisites

  • Describe phenomena as functions graphically, algebraically and verbally; identify independent and dependent quantities, domain, and range, and input/output.
  • Translate among graphic, algebraic, numeric, tabular, and verbal representations of relations.
  • Define and use linear, quadratic, cubic, and exponential functions to model and solve problems.
  • Use systems of two or more equations or inequalities to solve problems.
  • Use the trigonometric ratios to model and solve problems.
  • Use logic and deductive reasoning to draw conclusions and solve problems.

 

Goals and Objectives: (http://www.ncpublicschools.org/curriculum/)

 

North Carolina Competency Goals and Standards

 

Data Analysis and Probability
Competency Goal 1 The learner will analyze data and apply probability concepts to solve problems.
  Objectives

1.01 Create and use calculator-generated models of linear, polynomial, exponential, trigonometric, power, and logarithmic functions of bivariate data to solve problems.

  1. Interpret the constants, coefficients, and bases in the context of the data.
  2. Check models for goodness-of-fit; use the most appropriate model to draw conclusions and make predictions.

1.02 Summarize and analyze univariate data to solve problems.

  1. Apply and compare methods of data collection.
  2. Apply statistical principles and methods in sample surveys.
  3. Determine measures of central tendency and spread.
  4. Recognize, define, and use the normal distribution curve.
  5. Interpret graphical displays of univariate data.
  6. Compare distributions of univariate data.

1.03 Use theoretical and experimental probability to model and solve problems.

  1. Use addition and multiplication principles.
  2. Calculate and apply permutations and combinations.
  3. Create and use simulations for probability models.
  4. Find expected values and determine fairness.
  5. Identify and use discrete random variables to solve problems.
  6. Apply the Binomial Theorem.
Algebra
Competency Goal 2 The learner will use functions to solve problems.
  Objectives

2.01 Use logarithmic (common, natural) functions to model and solve problems; justify results.

  1. Solve using tables, graphs, and algebraic properties.
  2. Interpret the constants, coefficients, and bases in the context of the problem.

2.02 Use piecewise-defined functions to model and solve problems; justify results.

  1. Solve using tables, graphs, and algebraic properties.
  2. Interpret the constants, coefficients, and bases in the context of the problem.

2.03 Use power functions to model and solve problems; justify results.

  1. Solve using tables, graphs, and algebraic properties.
  2. Interpret the constants, coefficients, and bases in the context of the problem.

2.04 Use trigonometric (sine, cosine) functions to model and solve problems; justify results.

  1. Solve using tables, graphs, and algebraic properties.
  2. Create and identify transformations with respect to period, amplitude, and vertical and horizontal shifts.
  3. Develop and use the law of sines and the law of cosines.

2.05 Use recursively-defined functions to model and solve problems.

  1. Find the sum of a finite sequence.
  2. Find the sum of an infinite sequence.
  3. Determine whether a given series converges or diverges.
  4. Translate between recursive and explicit representations.

 

 

Pacing Guide

Click on the link below to access the pacing guide for this course:

 https://ucps.instructure.com/courses/65630/files?preview=2219483&sort=created_at&order=desc

 

 Additional Resources:

The following is a list of resources that students and parents can access that will aide in the learning process.  I will be adding additional resources as the course progresses. Should you have a specific need please let me know and I will research resources that will assist you.

1. EmpowerED Family Portal ( this link provides parents and students with online resources and                 apps.)

     https://www.ucps.k12.nc.us/domain/2917

 

 

Course Summary:

Date Details Due