## Trig Tricks with All Sorts of Technology © 2014, 2017, Agnes Azzolino

 Index Take notes with Alt+Print Screen and a paint program. Make 30-45-60 functions easy. Think "Oscar Had A Heap Of Apples." Make radian measure easy. Consider reference angles and "Veronica's Bow Tie." Make the Unit circle come alive. "Derive" quadrantals and trig graphs with SketchPad. Graph all 6 functions w/special trig graph paper. "Prove" the Pythagorean identities with the Unit circle. Curve shift with Excel. Review with Windows Explorer. Directory: Individual Pages:

## Vary the technique to achieve the above. Use color rather than black and white.  Use active rather than passive.  Use pictures rather than just text.  Use spoken word rather than just text.  Use white space to improve clarity.  Larger is usually clearer than smaller.  Sometimes start with the big picture rather than the details.  Reference to earlier work improves comprehension.  Showmanship -- a performance -- improves retention.

 Make 30°-45°-60° functions easy. Think "Oscar Had A Heap Of Apples." Use connect-the-dots to complete simple compuations. Use active rather than passive.   *Write it in script vs. print it vs. Pre-Print it *8th grade, to 10th grade, to precalculus *Start to build a cheat sheet and continue *Library of connect-the-dots puzzles/worksheets       *blank connect-the-dots questions *answers *central angle, clockwise/counter-clockwise, coterminal, negative/positive angle measure

 Make radian measure easy. Consider reference angles and "Veronica's Bow Tie." *2 mile race (visual with auditory and kinesthetic) *basic Veronica's bow tie *advanced Veronica's bow tie *45°s *internet trig reasources

 See the Unit circle move. Derive Pythagorean Identities. Graph tan function.   The Unit Circle *web, static, but with color *web, active       The Animated Unit Circle. - animation w/text. *UNIT CIRCLE JIG SAW PUZZLE, do it kinesthetically       unit circle jig saw puzzle master   The Usual Way vs. The Active Way *sine/cosine only, web active *quadrantals notes the usual way *sine and cosine graphed *write on similar triangles     completed notes on similar triangles for tangent All 6 Functions *tangent actively   Proofs *Pythagorean Identities -- graphically and by hand symbolically *Examine odd/even identities     Blank 3 plane paper blank 3 planes per page, web       3 planes per page gif

 Curve shift with Excel. Curve shift with an image. *sine sine on a spreadsheet, web *blank cut and pasted spreadsheet notes completed cut and pasted spreadsheet notes graphic function library

 Review with Windows Explorer. 00 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 Review joe17 with Windows Explorer. Review ordered Windows Explorer.