
WHAT IS PRECALCULUS?

PreCalculus 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 PreCalculus course, you will have the prerequisite skills necessary to study Calculus AB and BC at Deering High School.

THE ONLINE SUMMER STUDY GUIDE

Many of the skills you will need for Accelerated PreCalculus 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 PreCalculus.
When you enter the Accelerated PreCalculus 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 PreCalculus. In so doing you will find this course more pleasurable.
Have a fantastic
summer!
Teachers of Accelerated PreCalculus
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. 


THE SUMMER STUDY GUIDE
BY CHAPTERS

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: XINTERCEPT(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
