## Precalc Resources for Lecture Presentation and Test Creation

 Remarks Good morning! This page links most of the precalc resourses at this site. The talk presents items marked with an asterisk. All material is free and downloadable. We will not finish each task we start, but, you'll get the idea. Handouts:  Please do not spoil the surprize by going ahead of the speaker. Hope you enjoy the talk.

 Index Examine a library of precalc resources for functions, quadratics, logs/exponents, trig, polynomial and rational functions, trig. Examine spreadsheets for writing tests, quizzes, doing computation. Kinesthetically explore functions. Take an inverse in the visual, auditory, symbolic, and kinesthetic modalities. Use connect-the-dots to review simple computations. See the Unit circle move. "Derive" quadrantals and trig graphs with SketchPad. Graph all 6 functions w/special trig graph paper. Play with the unit circle and "prove" the Pythagorean identities with it. Curve shift with Excel. Test Writing and Lecture Use
*Use compute.xls to complete arithmetic from proportions to solving trig equations *Heronian Triangles and Pythagorean Triples Graph
*graph paper Harvest graphs and embed in test.
*Use solvtrig.xls to solve all sorts of triangles *Use cramers.xls to solve systems 2x2, 3x3, systems, minors, augmented columns Matrices
*Complete maytrix computation, inverse, solve systems Writing To Learn Assignments · Writing Assignments · Writing Project Questions · Possible Projects · Coversheet A Library of Resources Earlier Precalc       (pre-precalc, lines, quadratics, polynomial functions, rational functions, logs/exponentials) Later Precalc       (trig) *Stuff Sorted by Topic (logs, trig, number systems, metric, stat) For example:       Hypothesis Tests *Conics (Listed in the Function Library) *Stuff Sorted by Grade Level (games, connect the dots, intro material) For example:       *Height at adulthood based on birth length and percentiles on logistic curve *Connect-the-dots *Slope in Sound and Pictures Kinesthetically Explore Functions
Functions Exploring Functions Through the Use of Manipulatives, the entire book curve shifting -- translations, dilations, reflections: algebraically and graphically

# Place the wax paper on top of the coordinate plane to graph:  1. y= (x)  2. y= - (x)  3. y= ( - x)  4. y= - (- x)  5. y= (x - 3)  6. y= (x + 2) - 1  7. y= - (x + 2) - 1  8. y= (x - 6) + 2  9. the inverse of y= (x - 6) + 2

more graphing *solving *raw masters absolute value dilator in hand *Slopemeter w/movement Math Exercises (later) *gif masters Inverse Functions *w/paper and pencil on graph *Inverse Notes *Inverse Problems Take An Inverse In 4 Language Families Polynomial Functions Who Has *(Line)(line)=(quadratic) *poly.xls by degree & coeff or in factored, synthetic division, solves *Pass or Touch *Who Has? Polynomial F(x) Rational Functions, End Behavior *ratl.xls top vs bottom, graph, endbehavior, A(x)/B(x) + C(x), asymptotes *Who Has? Rational F(x) Log & Exponential Functions *e by area log-log paper semi log paper *slide rule exp.xls pay, 2 curves See the Unit circle move. Derive Pythagorean Identities. Graph tan function.   *jig1.xls -- UNIT CIRCLE JIG SAW PUZZLE *unit circle jig saw puzzle master *similar triangles 09 *14 The Animated Unit Circle. - Words w/text. Unit circle - web, active Unit circle - web, static *sine/cosine only, web active *sine and cosine graphed *xtra blank 3 planes per page, web 3 planes per page gif Trig Functions *Lessons 330 - Trig Functions Last year's "Trig Tricks" *Sine Law Ambiguous Case   · *web page & text · just the master · *sinelaw.xls -- sine law digital manipulative *sine.xls -- Asin(Bx-C)+D, sine, cosine, tangent, or sine & cosine # It's time for "Math Exercises."

Math Exercises web page # Please stand.Use your body particularly your hands and arms to represent: The line y = 0, the x-axis. Represent the y-axis: x = 0 Represent: y = x, the identity. Represent: y = -x, the opposite. Represent: y = x², the squaring function. Represent: y = |x|, the absolute value. Represent: y = -2x². Represent: y = 1/x, the reciprocal. Represent: x = y². Represent: y - |x-1|, the distance between a number and 1. Represent: y = |x| - 1, the absolute value, less 1. Represent: y = |x| + 1, the absolute value, plus 1. Please take your seat.          © 9/2016, A2 www.mathnstuff.com/papers/amatyc16.htm