Download calc ch P objectives - WBM

Calculus
Chapter P Objectives
Chapter P: Pages 1 - 59
Vocabulary:
real line
coordinate
origin
nonnegative
nonpositive
one-to-one correspondence
rational number
ordered
inequality
set
subset
set notation
union of sets
intersection of sets
disjoint sets
intervals (open, closed, bounded,
unbounded)
absolute value
directed distance
midpoint
ordered pair
rectangular coordinate system
Cartesian plane
quadrant
completing the square
solution point
table
graph
parabola
intercepts
symmetry
slope
Theorems, formulas, etc.
Pythagorean Theorem
Distance Formula
Standard form of the equation of a circle
general form of the equation of a circle
point-slope equation of a line
slope-intercept equation of a line
general equation of a line
vertical line test
function transformations
conversions between radians and degrees
ratio
rate of change
parallel
perpendicular
relation
function
independent variable
dependent variable
real-valued function of a real variable
domain
range
algebraic function
transcendental function
composite function
zero of a function
even function
odd function
acute angle
obtuse angle
standard position of an angle
coterminal angles
radian measure
unit circle
sine
cosine
tangent
cotangent
secant
cosecant
periodic function
amplitude
Calculus
Chapter P Objectives
Objectives:
After studying this chapter, students should be able to:
 P.1.1 determine whether a number is rational or irrational
 P.1.2 express repeating decimals as ratios of integers
 P.1.3 solve an inequality and sketch the graph of the solution on the real line
 P.1.4 find the distance and the directed distance between two points
 P.1.5 find a midpoint
 P.1.6 use absolute values to find real intervals
 P.1.7 determine which of two real numbers is greater
 P.1.8 prove properties of absolute values
 P.2.1 plot points on a Cartesian plane
 P.2.2 use and manipulate the distance formula
 P.2.3 use and manipulate the midpoint formula
 P.2.4 complete the square
 P.2.5 match equations and graphs
 P.2.6 write the equation of a circle in general form
 P.2.7 write the equation of a circle in standard form
 P.2.8 sketch the graph of a circle from its equation
 P.3.1 find the intercepts of the graph of an equation
 P.3.2 check for symmetry of the graph of an equation
 P.3.3 determine whether or not points lie on the graph of an equation
 P.3.4 sketch the graph of an equation
 P.3.5 use a calculator to graph an equation, check for symmetry, and identify
intercepts
 P.3.6 sketch a graph that has an indicated property
 P.3.7 find the points of intersection of the graphs of two equations
 P.4.1 estimate the slope of a line from its graph
 P.4.2 sketch graphs with given slopes
 P.4.3 find the slope of a line
 P.4.4 use the slope of a line and a point on the line to find other points on the line
 P.4.5 find an equation for a line that passes through two points
 P.4.6 write an equation of a line through a point that is parallel to another line
 P.4.7 write an equation of a line through a point that is perpendicular to another
line
 P.4.8 find the equation of a line determined by the points of intersection of two
parabolas
 P.4.9 determine whether or not points are collinear
 P.5.1 evaluate a function for a given value
 P.5.2 find the domain and range of a function
 P.5.3 graph a function
 P.5.4 determine whether or not a relation is a function
 P.5.5 use transformations to graph functions
 P.5.6 find composite functions
 P.5.7 find the zeros of a function
Calculus
Chapter P Objectives
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P.5.8 determine whether a function is even, odd, or neither
P.6.1 determine coterminal angles in radians and degrees
P.6.2 convert between radians and degrees
P.6.3 use the relationship between radius, central angle, and arclength
P.6.4 determine trigonometric functions of angles
P.6.5 determine the quadrant of an angle
P.6.6 evaluate trigonometric functions with and without a calculator
P.6.7 use trigonometric functions to evaluate right triangles
P.6.8 determine the period and amplitude of functions
P.6.9 sketch graphs of trigonometric functions
Assignments (subject to change)
P.1: 1 – 4, 7 – 51 odd odd, 63 – 71 odd, 75
P.2: 1 – 25 odd odd, 27 – 30, 31 – 47 odd odd
P.3: 1 – 6, 7 – 71 odd odd
P.4: 3 – 55 odd odd, 64
P.5: 1 – 55 odd, 67, omit 21
P.6: 1 – 71 odd, omit 49, omit 59
Chapter review: 1 – 41 odd odd, 47, 49 – 57 odd odd