Precalc Notes

Equation solving calculator https://www.symbolab.com/solver/equation-calculator/
Graphing Tool https://goodcalculators.com/graphing-calculator/
Applications Calculator https://goodcalculators.com/

Functions, Vocabulary	Quadratic Functions	Exponent & Log Laws
Orientation, ...	Higher Order Polynomials	Trig Functions, "Before Unit Circle"
Calculator Resources	Rationals	Trig Functions, "Unit Circle & On"
Lines	Log & Exponential Functions	Trig Cheat Sheet



$library$ Functions -- Basic Functions, Common Features, Vocabulary

Instant Reference Material:
Graphs of "all" functions Summary of "all" functions
Library of Functions Symbols & words in gif format
Function Note Cards animation web page flash cards
Function Vocabulary Use the button at the left for vocabulary information.: ASYMPTOTE definition; COMPOSITION -- Composition of Functions; CURVE SHIFTING -- Curve Shifting because of Addition & Subtraction of Functions; DILATION; dilation of a function ,; Dilation creates functions ,; dilation by a constant animation; DOMAIN; END BEHAVIOR behavior definition increasing/decreasing,; FUNCTIONs are dependable, sophisticated operations; GRAPHING; by INSPECTION of function; by POINT-PLOTTING; INVERSE FUNCTIONS; Inverse Notes: inverse functions: verbally, analytically, algebraically ,; Inverse Problems; Take An Inverse In 4 Language Families; IDENTITY, OPPOSITE, RECIPROCAL -- the most important functions; Intercepts/Roots/Factors Vocabulary & Images; INTERCEPTS; LEADING COEFFICIENT; ODD/EVEN functions by definition; Images; odd/even/neither functions viewed w/a smile; odd by definition; even by definition; RANGE; RATIONAL; REAL; PERIOD; SLOPE SONG; SOLVING EQUATIONS GRAPHICALLY; SYMMETRY definition; SYNTHETIC DIVISION; TRANSENDENTAL; ZEROS

Sketch Pads -- Dynamic Analytic Geometry

Cartesian History htm
graphs -- 1 or 2 graphed functions ready to edit
line -- slide points A and B and generate equation of the line in 4 forms.
2 graphs gsp
circle, tangent, normal gsp
circle formula gsp
angle of elevation gsp
absolute value -- |x|, functions controlled by parameters and NOT controlled by parameters
squaring, parabola -- Multi page: 2 parabolas: 1 in general form, 1 in standard forms, ...
square root -- 2 square root functions defined by easy-edit parameters
reciprocal, 1/x, etc. -- reciprocal functions
* VERTICAL ASYMPTOTE MUST BE POSITIONED BY USER!
piece-wise -- graphs a piecewise defined function when left function and right function
greatest integer function, [[x]] -- also a[[bx+c]] + k
composite functions -- build 2 functions using other functions
inverse -- take an inverse of an invertable fdunction, horizontal & vertical line tests
parentFX -- function "manipulatives"
parentFX2 -- revised function "manipulatives"

Games or Manipulatives: "Math Exercises" -- whole body graphing; Who Has? Lines Game Cards; Who Has? Curve Shift

Functions, Vocabulary	Quadratic Functions	Exponent & Log Laws
Orientation, ...	Higher Order Polynomials	Trig Functions, "Before Unit Circle"
Calculator Resources	Rationals	Trig Functions, "Unit Circle & On"
Lines	Log & Exponential Functions	Trig Cheat Sheet

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Functions -- Basic Functions, Common Features, Vocabulary