Precalc Notes
Resources

Algebra Notes
Classes, Tutorials & Resource Material
graph paper
Projects:
Project Questions
Some Possible Projects
qb coversheet
Model for Distance
compute distances w/ web page
model info
Solve Algebraically & graphically
Solving Equations Graphically, Solutions to Linear Equations
"Why = a(x  h)² + k?"  EVERYTHING
Solve w/Graphing Calulator
Syntax, numbers, expressions
number systems
calculator express or simplify
compute.xls arith to trig and stat
calculator solve
Functions
function library
basic functions, expressions
odd/even/neither
, odd/even
,
increasing/decreasing, end behavior
asymptote
symmetry
,
most important functions  IDENTITY, OPPOSITE, RECIPROCAL:
,
Lines
linear.xls graphs, slope
Slope Song
graph.xls
lines
Who Has? Lines
,
,
linear inequality notation
, =poi+++
solving equations and inequalities: algebraically, graphically
technologically
,
linear equation solver
solving equations and inequalities: algebraically, graphically, technologically in 1, 2, 3 dimensions: solve linear
,
Quadratics
solve a quadratic equation vs. simplify a radical expression
quadratic
quadratic equation
Families of functions
,
function notation
basic curve shifting and composition of functions:
shift square root functions
shift reciprocal function
,
translations, dilations, reflections: algebraically and graphically
Who Has? Curve Shift
more on composition of functions
Inverse Functions
inverse functions: verbally, analytically, algebraically
Inverse Notes
, Inverse Problems
Take An Inverse In 4 Language Families
Dilation
dilation of a function
, Dilation creates functions
,
animation
Quadratic Functions
quadratic functions: graphs, equations, features, vocabulary
,
,
regions bounded by curves: pcdraw
, fx8 (precalc drawing required in calc)
Polynomial Functions
,
,
,
poly.xls by degree & coeff or in factored, synthetic division, solves
roots of polynomial functions
,
Who Has? Polynomial F(x)
Complex Numbers
more on complex numbers: Elizabeth Stapel on Complex Computation I
II
Rational Functions
rational functions
ratl.xls top vs bottom, graph, endbehavior, A(x)/B(x) + C(x), asymptotes
Who Has? Rat'l F(x)
Log & Exponential Functions
exponents and logs: graph exponentials
, solve exponential
exponential and natural log are inverse functions (p28s20)
,
exp.xls pay, 2 curves
Who Has? Exoponential
Logs
Logs without Feeling Out on A Limb
Log Papers
Trig Functions
Triangle Sides & Angles Vocabulary
opposite
adjacent
hypotenuse
Right Triangle Sides & Angles 
equilateral triangle
306090 triangle
the square
454590 triangle
Fractions, Radians, Angles  Radian Measure
Radian Measure
degree to radian
radian to degree
Degrees & Radians 
the 90s
90s Answers
45s
45s Answers
60s
60s Answers
30s
30s Answers
Trig Functions of Reference & Special Angles
trig30s
trig45s
trig60s
trig90s
All Students Take Calculus
Six Trig Functions and the Unit Circle
The Animated Unit Circle.  Words w/text.
sine.xls  sine, cosine, tangent, or sine & cosine
Each function is the length of a leg or hypotenuse of a right triangle.
Unit Circle w/6 Trig Functions
central angle animation only
sine & cosine animation only
tangent and secant animation only
cotangent and cosecant animation only
all 6 functions animation only
all 6 functions with segments labeled animation only
sine.xls asin(BxC)+D
Inverse Trig Functions
graphic
Pythagorean Trig Identities
sinecosine, sin
^{2}
(A) + cos
^{2}
(A) = 1
tangentsecant, tan
^{2}
(A) + 1 = sec
^{2}
(A)
cotangentcosecant, cot
^{2}
(A) + 1 = csc
^{2}
(A)
Cheat Sheets of Trig Identities 
Pythagorean Identities, Cofunctions, Odd/Even Functions
Sine, Cosine, & Tangent of the Sums & Differences
Double & Half Angle Formulas
(Signs of the Trig Functions)
Sine Law
Sine Law, Ambiguous Case, Pictorial & Concrete Representation
pictorial graphic
master
solvtrig.xls all sorts of triangles
Vector
Addition
vector.xls  completes scalar addition, multiplication, and vector addition
polrect.xls  A DIGITAL MANIPULATIVE for drawing and addition of vectors.
cramers.xls 2x2, 3x3, systems, minors, augmented columns
polrect.xls vector DIGITAL & hot
Matrices
maytrix computation, inverse, solve systems
Other
tiles.xls all stuff & hot
© 2009 A
^{2}
www.mathnstuff.com/math/precalc/pnotes.htm