## Precalc Resources for Lecture Presentation and Test Creation

 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.          © 4/2016, A2 www.mathnstuff.com/papers/matnj16.htm