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)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 $library$ 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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