Precalc Notes      


Resources
- Algebra Notes
[tutorials & resource material arranged by topic   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) + 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 library 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
30-60-90 triangle
the square
45-45-90 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(Bx-C)+D
 
Inverse Trig Functions graphic
Pythagorean Trig Identities
sine-cosine, sin2(A) + cos2(A) = 1
tangent-secant, tan2(A) + 1 = sec2(A)
cotangent-cosecant, cot2(A) + 1 = csc2(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

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