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

 Precalc 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:

## Precalc

 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 Other graph papers

## PARCC and Geometry

 "Who Has" Geometry -- Area Other Games

## Algebra I

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

## Algebra II

The Squares and Cubes of the Sums and Differences of Two Numbers

Unit 17: Algebraic Multiplication

Unit 20. Binomial Squared and Cubed

## Try to assemble the cube of the difference of two numbers.

Source page
Appendix and Masters and Digital Manipulatives

## Calc

 Derivative & Antiderivative of Sine & Cosine Functions Graphs