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Prucha Assignments

What is Math Mentoring?

All students possess the ability to understand and apply mathematics. For some, however, learning math is intuitive and comes with ease and even enjoyment, while for others, it is a struggle that often comes with setbacks, resentment, and even negative experiences, making success in mathematical thinking and performance seem unachievable. Over the years, I have witnessed many students from the latter group be successful in mathematics and even challenge themselves with higher levels of math in high school and college. A fundamental key to their success was having a tutor, a friend, or a classmate who provided assistance, encouragement, and support when they needed it.

I have had the privilege of teaching some of Logan's brightest students in my advanced mathematics classes, and I believe these students are an incredible resource for helping their fellow students who struggle in mathematics. With this in mind, I invite any Logan students who enjoy and/or excel in mathematics to continue a program I started in 2011 at Logan that provides "Math Mentors" to students who need and want help in math. A math mentor is paired with a mentee, and after an initial meeting to introduce themselves to each other and arrange when and where they will meet, the two are expected to meet at least twice a week to work on math: going over concepts learned and questions about homework problems, reviewing for quizzes and exams, and discussing effective study and work habits.

THE MAIN INGREDIENT FOR SUCCESSFUL MENTORING!

Of course, for mentoring to work, both mentor and mentee must be committed to a single common goal: improving the mentee's success in math. When this happens, I have seen substantial improvement in the mentee's confidence and performance in mathematics; furthermore, I believe the relationship between mentor and mentee has the potential to foster a level of respect, appreciation, and even friendship between two students at Logan who might otherwise never know each other!

So...if you are interested in being a mentor or requesting a mentor, proceed to one of the two links below to read more and submit an application.

AP Calculus AB Summer Assignment

All AP Calculus AB students, regardless of who their teachers will be, are required to complete a summer assignment that consists of precalculus review. It is a packet of 228 problems, which can be downloaded by clicking HERE. It will be available from the end of the last day of finals in June until the end of the first week of classes. Be sure to carefully read the instructions on the first page. If you have any questions about the assignment, please email Mr. Prucha at kprucha@nhusd.k12.ca.us.

NOTE: The summer assignment for AB does not require the AB textbook, so DO NOT CHECK OUT THE TEXTBOOK for the course until you return in August and pick up your schedule.

Looking for more to prepare for AP Calculus AB this summer? Here are a few links to what other schools ask their students to do in preparation for the course, but you are welcome to search for others:

Bergenfield Public School DistrictNorwin School DistrictBeckman High School

Click on the links below to view the policies and student information form. If you are in my class, you are required to print out both, complete and sign the form, and bring both to class the first week of school for credit.

PoliciesStudent Information Form

TEXTBOOK RESOURCES

My Math Lab (Link to Publisher site to access e-textbook and more; requires access code provided by instructor)

Power Points (can be used to review concepts in each section of the textbook)

USEFUL LINKS

Desmos Online Graphing Calculator

2-D Implicit Curve Grapher

Integral Calculator

Derivative Calculator

Everything Calculator

Optimization Problems

Slope Field Generator (Mathscoop)

Slope Field Generator (Desmos)

Volume by Integration formulas

Volume by Washers Youtube

Volume by Cylindrical Shells Youtube

Volume by Cylindrical Shells Demos

HELPFUL HANDOUTS

Unit Circle

Trigonometric Identities

Graphs of Trigonometric Functions

Limits/Derivative/Integral Handout (Compliments of Mr. Farzad)

Theorems You Should Know

Figures and Formulas

WORKSHEETS

SEMESTER 1 FINAL RESOURCES

SEMESTER 2 FINAL RESOURCES

AP EXAM RESOURCES AND LINKS

About the AP Exam - IMPORTANT!

AP Calculus AB and BC College Board Course Description

Calculus 1 Study Guide (a student resource for Semester 1 Calculus at UC Berkeley)

Calculus AB Study Guide

AP Practice Exams(University of Houston website)

AP PRACTICE ASSIGNMENTS

AP PRINCETON REVIEW NOTES & EXERCISES

RESOURCES FOR AFTER THE AP EXAM

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