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STUDYGUIDE

THE ONLINE VERSION OF THIS BOOK IS UPDATED.
THE PAPER VERSION OF THE BOOK IS AN OLDER EDITION.

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SPECIAL ATTENTION TO ALL

FIND ERRORS IN  SPELLING, GRAMMAR, CONCEPTS AND/OR PROBLEMS
AND
GET EXTRA CREDIT

EMAIL ME WITH ERRORS

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LETTER IN PDF FORMAT FOR ACCELERATED PRE-CALCULUS STUDENTS

TAKE THE SUMMER STUDY GUIDE TEST AFTER YOU REVIEW

GET THE TEST     :    GET THE ANSWERS

 

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WHAT IS PRECALCULUS?

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Pre-Calculus is an area of mathematics that is a combination of mathematical tools from the fields of Arithmetic, Algebra, Geometry, and Trigonometry. Precalculus is a preparatory course for a university/college Calculus course or for an Advanced Placement Calculus course generally taken in the junior or senior year of high school.

In precalculus you will study the topics of functions, graphs of functions, roots of functions, symmetric functions, inverse functions, translations of functions, series & sequences, parametric equations and vectors.

Once you have successfully completed a Pre-Calculus course, you will have the prerequisite skills necessary to study Calculus AB and BC at Deering High School.

 

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THE ONLINE SUMMER STUDY GUIDE
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Many of the skills you will need for Accelerated Pre-Calculus and Physics were covered in previous courses thanks to the hard work of you and your former mathematics and science teachers. However, it may have been a long time since you systematically practiced these skills. This SUMMER STUDY GUIDE is a review of some of the basic rules, definitions, ideas and skills taught to you in previous classes.

As you work through this guide, try to make the vocabulary, definitions and symbolic manipulations second nature so you will be able to use them quickly and appropriately when you are studying Accelerated Pre-Calculus.

When you enter the Accelerated Pre-Calculus class in the fall or spring, you will be tested on the concepts contained in this review guide. It is your responsibility to practice and find the necessary resources to bring your skills in accord with the demands of Accelerated Pre-Calculus. In so doing you will find this course more pleasurable.

Have a fantastic summer!

Teachers of Accelerated Pre-Calculus

Please be aware that there may be errors in the manual. Contact me if you find any errors and I'LL GIVE YOU SOME EXTRA CREDIT IF YOU ARE IN MY CLASS.

 

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THE SUMMER STUDY GUIDE
BY CHAPTERS

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RETURN TO THE SUMMER STUDY GUIDE MAIN PAGE

- CHAPTER 1: THE NUMBER SYSTEM

- CHAPTER 2: ORDER OF OPERATIONS

- CHAPTER 3: VARIABLES, MONOMIALS, BINOMIALS, TRINOMIALS, POLYNOMIALS,
COEFFICIENTS, TERMS AND LIKE TERMS

- CHAPTER 4: SIGNED NUMBERS, ABSOLUTE VALUE, AND INEQUALITY SYMBOLS

- CHAPTER 5: FACTORS, COMMON FACTORS, LEAST COMMON FACTORS AND GREATEST COMMON FACTORS

- CHAPTER 6: PROPERTIES OF NUMBERS

- CHAPTER 7: THE WORLD OF FRACTIONS

- CHAPTER 8: EXPONENTS

- CHAPTER 9: ROOTS

- CHAPTER 10: ALGEBRAIC EXPRESSIONS

- CHAPTER 11: CARTESIAN COORDINATE SYSTEM

- CHAPTER 12: SETS, RELATIONS AND FUNCTIONS

- CHAPTER 13: AVERAGE RATE OF CHANGE OF Y WITH RESPECT TO X, SLOPE, PYTHAGOREAN THEOREM, AND DISTANCE FORMULA BETWEEN TWO POINTS

- CHAPTER 14: X-INTERCEPT(ZERO) AND Y INTERCEPT(B)

- CHAPTER 15: LINES

- CHAPTER 16: FUNCTIONS

- CHAPTER 17: MULTIPLYING POLYNOMIALS

- CHAPTER 18: FACTORING

- CHAPTER 19: RATIONAL EXPRESSIONS

- CHAPTER 20: SOLVING EQUATIONS

- CHAPTER 21:SOLVING INEQUALITIES

- CHAPTER 22: SOLVING A SYSTEM OF EQUATIONS

- CHAPTER 23: QUADRATICS

- CHAPTER 24: CIRCLES

- CHAPTER 25: AREAS AND PERIMETERS OF PLANE FIGURES

- CHAPTER 26: VOLUMES