Download pre-calculus - Chagrin Falls Schools

PRE-CALCULUS
Semester One Study Guide
Algebra/Geometry Skills:
 Factoring – GCF, reverse FOIL, difference of two squares, sum/difference of two cubes
 Quadratic Formula
 Graphing – lines, parabolas
 Add/Subtract Fractions – common denominator
 Multiply/Divide Fractions – factor and cancel
 Similar Triangles – corresponding angles congruent, corresponding sides proportional
Chapter One:
 Functions – domain/range, parent graphs (tool kit)
 Graphing Transformations – vertical stretch/compress, horizontal stretch/compress, horizontal/vertical shifts
 Exponents – laws of exponents, negative exponents, fractional exponents
 Inverse of Functions – limit range of inverse (to make it one-to-one)
 Equations of Lines – point-slope form, parallel or perpendicular lines
 Laws of Sines and Cosines – for acute and obtuse triangles
 Area of a Triangle – ½(base)(height) or ½(b)(c)sinA
 Special Right Triangles – 30/60/90 and 45/45/90
 Radian Angle Measures
Chapter Two:
 Piecewise Functions – evaluate, check for continuity, shifts
 Sigma Notation – finding elements, evaluate the sum, represent area under a curve
 Area Under a Curve – left/right endpoint rectangles, trapezoids, vertical/horizontal shifts
 Area as a Function – area under a curve based on the amount of time
Chapter Three:
 Graphing Transformations – vertical stretch/compress, horizontal stretch/compress, reflect over x/y axis
 Exponential Functions – graphing, simplifying, solving
 Logarithmic Functions – graphs, laws of logs, solving, change of base
Chapter Four:
 Unit Circle – angles and coordinates (𝑐𝑜𝑠𝜃, 𝑠𝑖𝑛𝜃)
 Pythagorean Identities (3)
 Right Triangle Trig Ratios
 Graphs of Sine and Cosine – parent, vertical stretch/compress, horizontal stretch/compress, shifts
 Reciprocal Trig Functions – sine  cosecant, cosine  secant, tangent  cotangent
 Simplify Complex Fractions
 Verifying Trig Identities
Study the information from the Math Notes throughout the chapters above.
Do ALL the Closure problems at the end of each chapter.
Chapter One: p. 55 #155-164
Chapter Two: p. 120 #178-188
*answers for all problems are on the next pages
Chapter Three: p. 172 #133-143
*info to get help, or try more, is also listed there
Chapter Four: p. 223 #148-160
*Skill Builder are available in the back of the book (following ch 6) for practicing algebra/geometry skills.